TSTP Solution File: GEO262+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : GEO262+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n011.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 : Fri Sep 16 15:18:48 EDT 2022
% Result : Theorem 147.15s 22.45s
% Output : Proof 147.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07 % Problem : GEO262+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.06/0.07 % Command : goeland -dmt -presko -proof %s
% 0.06/0.26 % Computer : n011.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Wed Aug 31 07:11:11 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.06/0.26 [DMT] DMT loaded with preskolemization
% 0.06/0.26 [EQ] equality loaded.
% 0.06/0.26 [0.000020s][1][MAIN] Problem : theBenchmark.p
% 0.06/0.27 Conjecture not found
% 0.06/0.27 Start search
% 0.06/0.27 nb_step : 1 - limit : 32
% 0.06/0.27 Launch Gotab with destructive = true
% 145.79/21.73 % SZS output start Proof for theBenchmark.p
% 147.12/22.35 [0] ALPHA_AND : ((! [A20_20] : (~distinct_points(A20_20, A20_20)) & ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23)))) & ! [L24_24] : (~distinct_lines(L24_24, L24_24)) & ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27)))) & ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28)) & ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31)))) & ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34)))))) & ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36))))) & ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38))))) & ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40)))) & ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42)))) & ! [A43_43, B44_44] : ((((point(A43_43) & point(B44_44)) & distinct_points(A43_43, B44_44)) => line(line_connecting(A43_43, B44_44)))) & ! [L45_45, M46_46] : (((((line(L45_45) & line(M46_46)) & unequally_directed_lines(L45_45, M46_46)) & unequally_directed_lines(L45_45, reverse_line(M46_46))) => point(intersection_point(L45_45, M46_46)))) & ! [L47_47, A48_48] : (((point(A48_48) & line(L47_47)) => line(parallel_through_point(L47_47, A48_48)))) & ! [L49_49] : ((line(L49_49) => line(reverse_line(L49_49)))) & ! [A50_50, B51_51] : ((distinct_points(A50_50, B51_51) => (~apart_point_and_line(A50_50, line_connecting(A50_50, B51_51)) & ~apart_point_and_line(B51_51, line_connecting(A50_50, B51_51))))) & ! [L52_52, M53_53] : (((unequally_directed_lines(L52_52, M53_53) & unequally_directed_lines(L52_52, reverse_line(M53_53))) => (~apart_point_and_line(intersection_point(L52_52, M53_53), L52_52) & ~apart_point_and_line(intersection_point(L52_52, M53_53), M53_53)))) & ! [A54_54, L55_55] : (~apart_point_and_line(A54_54, parallel_through_point(L55_55, A54_54))) & ! [L56_56] : (~distinct_lines(L56_56, reverse_line(L56_56))) & ! [A57_57, B58_58] : (~unequally_directed_lines(line_connecting(A57_57, B58_58), reverse_line(line_connecting(B58_58, A57_57)))) & ! [A59_59, L60_60] : (~unequally_directed_lines(parallel_through_point(L60_60, A59_59), L60_60)) & ! [A61_61, B62_62, L63_63, M64_64] : (((distinct_points(A61_61, B62_62) & distinct_lines(L63_63, M64_64)) => (((((((left_apart_point(A61_61, L63_63) | left_apart_point(B62_62, L63_63)) | left_apart_point(A61_61, M64_64)) | left_apart_point(B62_62, M64_64)) | left_apart_point(A61_61, reverse_line(L63_63))) | left_apart_point(B62_62, reverse_line(L63_63))) | left_apart_point(A61_61, reverse_line(M64_64))) | left_apart_point(B62_62, reverse_line(M64_64))))) & ! [A65_65, B66_66, L67_67] : (((distinct_points(A65_65, B66_66) & left_apart_point(A65_65, L67_67)) => (left_apart_point(B66_66, L67_67) | left_convergent_lines(line_connecting(A65_65, B66_66), L67_67)))) & ! [A68_68, B69_69, L70_70] : ((left_apart_point(A68_68, L70_70) => (distinct_points(A68_68, B69_69) | left_apart_point(B69_69, L70_70)))) & ! [A71_71, L72_72, M73_73] : (((left_apart_point(A71_71, L72_72) & unequally_directed_lines(L72_72, M73_73)) => (distinct_lines(L72_72, M73_73) | left_apart_point(A71_71, reverse_line(M73_73))))) & ! [L74_74, M75_75, N76_76] : ((left_convergent_lines(L74_74, M75_75) => (unequally_directed_lines(M75_75, N76_76) | left_convergent_lines(L74_74, N76_76))))) & ~! [L77_77, M78_78, N79_79, A80_80, B81_81, C82_82] : (((((((between_on_line(L77_77, A80_80, B81_81, C82_82) & convergent_lines(L77_77, M78_78)) & ~apart_point_and_line(B81_81, M78_78)) & convergent_lines(L77_77, N79_79)) & convergent_lines(M78_78, N79_79)) & ~apart_point_and_line(B81_81, N79_79)) => between_on_line(M78_78, intersection_point(M78_78, parallel_through_point(N79_79, A80_80)), B81_81, intersection_point(M78_78, parallel_through_point(N79_79, C82_82))))))
% 147.12/22.35 -> [1] (! [A20_20] : (~distinct_points(A20_20, A20_20)) & ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23)))) & ! [L24_24] : (~distinct_lines(L24_24, L24_24)) & ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27)))) & ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28)) & ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31)))) & ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34)))))) & ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36))))) & ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38))))) & ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40)))) & ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42)))) & ! [A43_43, B44_44] : ((((point(A43_43) & point(B44_44)) & distinct_points(A43_43, B44_44)) => line(line_connecting(A43_43, B44_44)))) & ! [L45_45, M46_46] : (((((line(L45_45) & line(M46_46)) & unequally_directed_lines(L45_45, M46_46)) & unequally_directed_lines(L45_45, reverse_line(M46_46))) => point(intersection_point(L45_45, M46_46)))) & ! [L47_47, A48_48] : (((point(A48_48) & line(L47_47)) => line(parallel_through_point(L47_47, A48_48)))) & ! [L49_49] : ((line(L49_49) => line(reverse_line(L49_49)))) & ! [A50_50, B51_51] : ((distinct_points(A50_50, B51_51) => (~apart_point_and_line(A50_50, line_connecting(A50_50, B51_51)) & ~apart_point_and_line(B51_51, line_connecting(A50_50, B51_51))))) & ! [L52_52, M53_53] : (((unequally_directed_lines(L52_52, M53_53) & unequally_directed_lines(L52_52, reverse_line(M53_53))) => (~apart_point_and_line(intersection_point(L52_52, M53_53), L52_52) & ~apart_point_and_line(intersection_point(L52_52, M53_53), M53_53)))) & ! [A54_54, L55_55] : (~apart_point_and_line(A54_54, parallel_through_point(L55_55, A54_54))) & ! [L56_56] : (~distinct_lines(L56_56, reverse_line(L56_56))) & ! [A57_57, B58_58] : (~unequally_directed_lines(line_connecting(A57_57, B58_58), reverse_line(line_connecting(B58_58, A57_57)))) & ! [A59_59, L60_60] : (~unequally_directed_lines(parallel_through_point(L60_60, A59_59), L60_60)) & ! [A61_61, B62_62, L63_63, M64_64] : (((distinct_points(A61_61, B62_62) & distinct_lines(L63_63, M64_64)) => (((((((left_apart_point(A61_61, L63_63) | left_apart_point(B62_62, L63_63)) | left_apart_point(A61_61, M64_64)) | left_apart_point(B62_62, M64_64)) | left_apart_point(A61_61, reverse_line(L63_63))) | left_apart_point(B62_62, reverse_line(L63_63))) | left_apart_point(A61_61, reverse_line(M64_64))) | left_apart_point(B62_62, reverse_line(M64_64))))) & ! [A65_65, B66_66, L67_67] : (((distinct_points(A65_65, B66_66) & left_apart_point(A65_65, L67_67)) => (left_apart_point(B66_66, L67_67) | left_convergent_lines(line_connecting(A65_65, B66_66), L67_67)))) & ! [A68_68, B69_69, L70_70] : ((left_apart_point(A68_68, L70_70) => (distinct_points(A68_68, B69_69) | left_apart_point(B69_69, L70_70)))) & ! [A71_71, L72_72, M73_73] : (((left_apart_point(A71_71, L72_72) & unequally_directed_lines(L72_72, M73_73)) => (distinct_lines(L72_72, M73_73) | left_apart_point(A71_71, reverse_line(M73_73))))) & ! [L74_74, M75_75, N76_76] : ((left_convergent_lines(L74_74, M75_75) => (unequally_directed_lines(M75_75, N76_76) | left_convergent_lines(L74_74, N76_76))))), ~! [L77_77, M78_78, N79_79, A80_80, B81_81, C82_82] : (((((((between_on_line(L77_77, A80_80, B81_81, C82_82) & convergent_lines(L77_77, M78_78)) & ~apart_point_and_line(B81_81, M78_78)) & convergent_lines(L77_77, N79_79)) & convergent_lines(M78_78, N79_79)) & ~apart_point_and_line(B81_81, N79_79)) => between_on_line(M78_78, intersection_point(M78_78, parallel_through_point(N79_79, A80_80)), B81_81, intersection_point(M78_78, parallel_through_point(N79_79, C82_82)))))
% 147.12/22.35
% 147.12/22.35 [1] ALPHA_AND : (! [A20_20] : (~distinct_points(A20_20, A20_20)) & ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23)))) & ! [L24_24] : (~distinct_lines(L24_24, L24_24)) & ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27)))) & ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28)) & ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31)))) & ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34)))))) & ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36))))) & ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38))))) & ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40)))) & ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42)))) & ! [A43_43, B44_44] : ((((point(A43_43) & point(B44_44)) & distinct_points(A43_43, B44_44)) => line(line_connecting(A43_43, B44_44)))) & ! [L45_45, M46_46] : (((((line(L45_45) & line(M46_46)) & unequally_directed_lines(L45_45, M46_46)) & unequally_directed_lines(L45_45, reverse_line(M46_46))) => point(intersection_point(L45_45, M46_46)))) & ! [L47_47, A48_48] : (((point(A48_48) & line(L47_47)) => line(parallel_through_point(L47_47, A48_48)))) & ! [L49_49] : ((line(L49_49) => line(reverse_line(L49_49)))) & ! [A50_50, B51_51] : ((distinct_points(A50_50, B51_51) => (~apart_point_and_line(A50_50, line_connecting(A50_50, B51_51)) & ~apart_point_and_line(B51_51, line_connecting(A50_50, B51_51))))) & ! [L52_52, M53_53] : (((unequally_directed_lines(L52_52, M53_53) & unequally_directed_lines(L52_52, reverse_line(M53_53))) => (~apart_point_and_line(intersection_point(L52_52, M53_53), L52_52) & ~apart_point_and_line(intersection_point(L52_52, M53_53), M53_53)))) & ! [A54_54, L55_55] : (~apart_point_and_line(A54_54, parallel_through_point(L55_55, A54_54))) & ! [L56_56] : (~distinct_lines(L56_56, reverse_line(L56_56))) & ! [A57_57, B58_58] : (~unequally_directed_lines(line_connecting(A57_57, B58_58), reverse_line(line_connecting(B58_58, A57_57)))) & ! [A59_59, L60_60] : (~unequally_directed_lines(parallel_through_point(L60_60, A59_59), L60_60)) & ! [A61_61, B62_62, L63_63, M64_64] : (((distinct_points(A61_61, B62_62) & distinct_lines(L63_63, M64_64)) => (((((((left_apart_point(A61_61, L63_63) | left_apart_point(B62_62, L63_63)) | left_apart_point(A61_61, M64_64)) | left_apart_point(B62_62, M64_64)) | left_apart_point(A61_61, reverse_line(L63_63))) | left_apart_point(B62_62, reverse_line(L63_63))) | left_apart_point(A61_61, reverse_line(M64_64))) | left_apart_point(B62_62, reverse_line(M64_64))))) & ! [A65_65, B66_66, L67_67] : (((distinct_points(A65_65, B66_66) & left_apart_point(A65_65, L67_67)) => (left_apart_point(B66_66, L67_67) | left_convergent_lines(line_connecting(A65_65, B66_66), L67_67)))) & ! [A68_68, B69_69, L70_70] : ((left_apart_point(A68_68, L70_70) => (distinct_points(A68_68, B69_69) | left_apart_point(B69_69, L70_70)))) & ! [A71_71, L72_72, M73_73] : (((left_apart_point(A71_71, L72_72) & unequally_directed_lines(L72_72, M73_73)) => (distinct_lines(L72_72, M73_73) | left_apart_point(A71_71, reverse_line(M73_73))))) & ! [L74_74, M75_75, N76_76] : ((left_convergent_lines(L74_74, M75_75) => (unequally_directed_lines(M75_75, N76_76) | left_convergent_lines(L74_74, N76_76)))))
% 147.12/22.35 -> [2] ! [A20_20] : (~distinct_points(A20_20, A20_20)), ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23)))), ! [L24_24] : (~distinct_lines(L24_24, L24_24)), ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27)))), ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28)), ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31)))), ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34)))))), ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36))))), ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38))))), ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40)))), ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42)))), ! [A43_43, B44_44] : ((((point(A43_43) & point(B44_44)) & distinct_points(A43_43, B44_44)) => line(line_connecting(A43_43, B44_44)))), ! [L45_45, M46_46] : (((((line(L45_45) & line(M46_46)) & unequally_directed_lines(L45_45, M46_46)) & unequally_directed_lines(L45_45, reverse_line(M46_46))) => point(intersection_point(L45_45, M46_46)))), ! [L47_47, A48_48] : (((point(A48_48) & line(L47_47)) => line(parallel_through_point(L47_47, A48_48)))), ! [L49_49] : ((line(L49_49) => line(reverse_line(L49_49)))), ! [A50_50, B51_51] : ((distinct_points(A50_50, B51_51) => (~apart_point_and_line(A50_50, line_connecting(A50_50, B51_51)) & ~apart_point_and_line(B51_51, line_connecting(A50_50, B51_51))))), ! [L52_52, M53_53] : (((unequally_directed_lines(L52_52, M53_53) & unequally_directed_lines(L52_52, reverse_line(M53_53))) => (~apart_point_and_line(intersection_point(L52_52, M53_53), L52_52) & ~apart_point_and_line(intersection_point(L52_52, M53_53), M53_53)))), ! [A54_54, L55_55] : (~apart_point_and_line(A54_54, parallel_through_point(L55_55, A54_54))), ! [L56_56] : (~distinct_lines(L56_56, reverse_line(L56_56))), ! [A57_57, B58_58] : (~unequally_directed_lines(line_connecting(A57_57, B58_58), reverse_line(line_connecting(B58_58, A57_57)))), ! [A59_59, L60_60] : (~unequally_directed_lines(parallel_through_point(L60_60, A59_59), L60_60)), ! [A61_61, B62_62, L63_63, M64_64] : (((distinct_points(A61_61, B62_62) & distinct_lines(L63_63, M64_64)) => (((((((left_apart_point(A61_61, L63_63) | left_apart_point(B62_62, L63_63)) | left_apart_point(A61_61, M64_64)) | left_apart_point(B62_62, M64_64)) | left_apart_point(A61_61, reverse_line(L63_63))) | left_apart_point(B62_62, reverse_line(L63_63))) | left_apart_point(A61_61, reverse_line(M64_64))) | left_apart_point(B62_62, reverse_line(M64_64))))), ! [A65_65, B66_66, L67_67] : (((distinct_points(A65_65, B66_66) & left_apart_point(A65_65, L67_67)) => (left_apart_point(B66_66, L67_67) | left_convergent_lines(line_connecting(A65_65, B66_66), L67_67)))), ! [A68_68, B69_69, L70_70] : ((left_apart_point(A68_68, L70_70) => (distinct_points(A68_68, B69_69) | left_apart_point(B69_69, L70_70)))), ! [A71_71, L72_72, M73_73] : (((left_apart_point(A71_71, L72_72) & unequally_directed_lines(L72_72, M73_73)) => (distinct_lines(L72_72, M73_73) | left_apart_point(A71_71, reverse_line(M73_73))))), ! [L74_74, M75_75, N76_76] : ((left_convergent_lines(L74_74, M75_75) => (unequally_directed_lines(M75_75, N76_76) | left_convergent_lines(L74_74, N76_76))))
% 147.12/22.35
% 147.12/22.35 [2] DELTA_NOT_FORALL : ~! [L77_77, M78_78, N79_79, A80_80, B81_81, C82_82] : (((((((between_on_line(L77_77, A80_80, B81_81, C82_82) & convergent_lines(L77_77, M78_78)) & ~apart_point_and_line(B81_81, M78_78)) & convergent_lines(L77_77, N79_79)) & convergent_lines(M78_78, N79_79)) & ~apart_point_and_line(B81_81, N79_79)) => between_on_line(M78_78, intersection_point(M78_78, parallel_through_point(N79_79, A80_80)), B81_81, intersection_point(M78_78, parallel_through_point(N79_79, C82_82)))))
% 147.12/22.35 -> [3] ~((((((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & ~apart_point_and_line(skolem_B8181, skolem_M7878)) & convergent_lines(skolem_L7777, skolem_N7979)) & convergent_lines(skolem_M7878, skolem_N7979)) & ~apart_point_and_line(skolem_B8181, skolem_N7979)) => between_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [3] ALPHA_NOT_IMPLY : ~((((((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & ~apart_point_and_line(skolem_B8181, skolem_M7878)) & convergent_lines(skolem_L7777, skolem_N7979)) & convergent_lines(skolem_M7878, skolem_N7979)) & ~apart_point_and_line(skolem_B8181, skolem_N7979)) => between_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35 -> [4] (((((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & ~apart_point_and_line(skolem_B8181, skolem_M7878)) & convergent_lines(skolem_L7777, skolem_N7979)) & convergent_lines(skolem_M7878, skolem_N7979)) & ~apart_point_and_line(skolem_B8181, skolem_N7979)), ~between_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.35
% 147.12/22.35 [4] Rewrite : ~between_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.35 -> [5] ~((before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & before_on_line(skolem_M7878, skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | (before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & before_on_line(skolem_M7878, skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.35
% 147.12/22.35 [5] ALPHA_AND : (((((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & ~apart_point_and_line(skolem_B8181, skolem_M7878)) & convergent_lines(skolem_L7777, skolem_N7979)) & convergent_lines(skolem_M7878, skolem_N7979)) & ~apart_point_and_line(skolem_B8181, skolem_N7979))
% 147.12/22.35 -> [6] ((((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & ~apart_point_and_line(skolem_B8181, skolem_M7878)) & convergent_lines(skolem_L7777, skolem_N7979)) & convergent_lines(skolem_M7878, skolem_N7979)), ~apart_point_and_line(skolem_B8181, skolem_N7979)
% 147.12/22.35
% 147.12/22.35 [6] Rewrite : ~apart_point_and_line(skolem_B8181, skolem_N7979)
% 147.12/22.35 -> [7] ~(left_apart_point(skolem_B8181, skolem_N7979) | left_apart_point(skolem_B8181, reverse_line(skolem_N7979)))
% 147.12/22.35
% 147.12/22.35 [7] ALPHA_NOT_OR : ~((before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & before_on_line(skolem_M7878, skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | (before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & before_on_line(skolem_M7878, skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.35 -> [8] ~(before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & before_on_line(skolem_M7878, skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))), ~(before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & before_on_line(skolem_M7878, skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.35
% 147.12/22.35 [8] ALPHA_AND : ((((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & ~apart_point_and_line(skolem_B8181, skolem_M7878)) & convergent_lines(skolem_L7777, skolem_N7979)) & convergent_lines(skolem_M7878, skolem_N7979))
% 147.12/22.35 -> [9] (((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & ~apart_point_and_line(skolem_B8181, skolem_M7878)) & convergent_lines(skolem_L7777, skolem_N7979)), convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.35
% 147.12/22.35 [9] Rewrite : convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.35 -> [10] (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.35
% 147.12/22.35 [10] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_N7979) | left_apart_point(skolem_B8181, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [11] ~left_apart_point(skolem_B8181, skolem_N7979), ~left_apart_point(skolem_B8181, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [11] ALPHA_AND : (((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & ~apart_point_and_line(skolem_B8181, skolem_M7878)) & convergent_lines(skolem_L7777, skolem_N7979))
% 147.12/22.35 -> [12] ((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & ~apart_point_and_line(skolem_B8181, skolem_M7878)), convergent_lines(skolem_L7777, skolem_N7979)
% 147.12/22.35
% 147.12/22.35 [12] Rewrite : convergent_lines(skolem_L7777, skolem_N7979)
% 147.12/22.35 -> [13] (unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.12/22.35
% 147.12/22.35 [13] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [14] unequally_directed_lines(skolem_M7878, skolem_N7979), unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [14] ALPHA_AND : ((between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)) & ~apart_point_and_line(skolem_B8181, skolem_M7878))
% 147.12/22.35 -> [15] (between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878)), ~apart_point_and_line(skolem_B8181, skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [15] Rewrite : ~apart_point_and_line(skolem_B8181, skolem_M7878)
% 147.12/22.35 -> [16] ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [16] ALPHA_AND : (unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [17] unequally_directed_lines(skolem_L7777, skolem_N7979), unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [17] ALPHA_AND : (between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282) & convergent_lines(skolem_L7777, skolem_M7878))
% 147.12/22.35 -> [18] between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282), convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [18] Rewrite : between_on_line(skolem_L7777, skolem_A8080, skolem_B8181, skolem_C8282)
% 147.12/22.35 -> [19] ((before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)) | (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)))
% 147.12/22.35
% 147.12/22.35 [19] Rewrite : convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [20] (unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [20] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [21] ~left_apart_point(skolem_B8181, skolem_M7878), ~left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [21] ALPHA_AND : (unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [22] unequally_directed_lines(skolem_L7777, skolem_M7878), unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [22] BETA_NOT_AND : ~(before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & before_on_line(skolem_M7878, skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35 -> [23] ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.12/22.35 -> [24] ~before_on_line(skolem_M7878, skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.35
% 147.12/22.35 [24] Rewrite : ~before_on_line(skolem_M7878, skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.35 -> [26] ~(((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.35
% 147.12/22.35 [26] BETA_NOT_AND : ~(before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & before_on_line(skolem_M7878, skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.35 -> [29] ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.12/22.35 -> [30] ~before_on_line(skolem_M7878, skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.35
% 147.12/22.35 [30] Rewrite : ~before_on_line(skolem_M7878, skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.35 -> [34] ~(((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.35
% 147.12/22.35 [34] BETA_OR : ((before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)) | (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)))
% 147.12/22.35 -> [41] (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 147.12/22.35 -> [42] (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 147.12/22.35
% 147.12/22.35 [41] ALPHA_AND : (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 147.12/22.35 -> [45] before_on_line(skolem_L7777, skolem_A8080, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 147.12/22.35
% 147.12/22.35 [45] Rewrite : before_on_line(skolem_L7777, skolem_A8080, skolem_B8181)
% 147.12/22.35 -> [53] (((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.35
% 147.12/22.35 [53] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 147.12/22.35 -> [63] (((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)))
% 147.12/22.35
% 147.12/22.35 [63] ALPHA_AND : (((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.35 -> [72] ((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.35
% 147.12/22.35 [72] ALPHA_AND : (((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)))
% 147.12/22.35 -> [82] ((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.12/22.35
% 147.12/22.35 [82] ALPHA_AND : ((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.12/22.35 -> [98] (distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.12/22.35
% 147.12/22.35 [98] ALPHA_AND : ((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777))))
% 147.12/22.35 -> [103] (distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.12/22.35
% 147.12/22.35 [103] ALPHA_AND : (distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777))))
% 147.12/22.35 -> [105] distinct_points(skolem_A8080, skolem_B8181), ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.12/22.35
% 147.12/22.35 [105] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.12/22.35 -> [112] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.12/22.35
% 147.12/22.35 [112] ALPHA_AND : (distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.12/22.35 -> [120] distinct_points(skolem_B8181, skolem_C8282), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.12/22.35
% 147.12/22.35 [120] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.12/22.35 -> [128] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 147.12/22.35
% 147.12/22.35 [128] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.12/22.35 -> [136] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 147.12/22.35
% 147.12/22.35 [136] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.12/22.35 -> [144] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.12/22.35
% 147.12/22.35 [144] BETA_NOT_AND : ~(((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.35 -> [308] ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.12/22.35 -> [309] ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [309] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35 -> [450] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [450] BETA_NOT_AND : ~(((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.35 -> [503] ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.12/22.35 -> [504] ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.35
% 147.12/22.35 [504] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.35 -> [507] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.35
% 147.12/22.35 [507] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.35 -> [544] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.35
% 147.12/22.35 [544] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.35 -> [563] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.12/22.35
% 147.12/22.35 [563] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.12/22.35 -> [564] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.35 -> [565] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.12/22.35
% 147.12/22.35 [564] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.35
% 147.12/22.35 [565] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.12/22.35 -> [1313] distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.35 -> [1314] distinct_points(skolem_C8282, skolem_B8181)
% 147.12/22.35
% 147.12/22.35 [1313] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.35
% 147.12/22.35 [1314] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.35 -> [1363] ~distinct_lines(N27_3_3, N27_3_3)
% 147.12/22.35
% 147.12/22.35 [1363] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.35 -> [1382] (distinct_lines(N27_3_3, N27_3_3) => (distinct_lines(N27_3_3, N27_3_3) | distinct_lines(N27_3_3, N27_3_3)))
% 147.12/22.35
% 147.12/22.35 [1382] BETA_IMPLY : (distinct_lines(N27_3_3, N27_3_3) => (distinct_lines(N27_3_3, N27_3_3) | distinct_lines(N27_3_3, N27_3_3)))
% 147.12/22.35 -> [1383] ~distinct_lines(N27_3_3, N27_3_3)
% 147.12/22.35 -> [1384] (distinct_lines(N27_3_3, N27_3_3) | distinct_lines(N27_3_3, N27_3_3))
% 147.12/22.35
% 147.12/22.35 [1384] BETA_OR : (distinct_lines(N27_3_3, N27_3_3) | distinct_lines(N27_3_3, N27_3_3))
% 147.12/22.35 -> [1385] distinct_lines(N27_3_3, N27_3_3)
% 147.12/22.35 -> [1386] distinct_lines(N27_3_3, N27_3_3)
% 147.12/22.35
% 147.12/22.35 [1385] CLOSURE : distinct_lines(N27_3_3, N27_3_3)
% 147.12/22.35
% 147.12/22.35 [1386] CLOSURE : distinct_lines(N27_3_3, N27_3_3)
% 147.12/22.35
% 147.12/22.35 [1383] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.35 -> [1433] ~unequally_directed_lines(skolem_N7979, skolem_N7979)
% 147.12/22.35
% 147.12/22.35 [1433] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.35 -> [1451] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979)))
% 147.12/22.35
% 147.12/22.35 [1451] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979)))
% 147.12/22.35 -> [1452] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.35 -> [1453] (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [1452] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.35
% 147.12/22.35 [1453] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_N7979) | unequally_directed_lines(skolem_N7979, skolem_N7979))
% 147.12/22.35 -> [3121] unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.35 -> [3122] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 147.12/22.35
% 147.12/22.35 [3122] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 147.12/22.35
% 147.12/22.35 [3121] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.35 -> [4028] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) | (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))))
% 147.12/22.35
% 147.12/22.35 [4028] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) | (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))))
% 147.12/22.35 -> [4029] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [4030] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) | (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 147.12/22.35
% 147.12/22.35 [4029] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [4062] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.35 -> [4063] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [4063] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [4062] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.35
% 147.12/22.35 [4030] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) | (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 147.12/22.35 -> [4796] (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [4797] (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 147.12/22.35
% 147.12/22.35 [4797] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [4798] unequally_directed_lines(skolem_N7979, skolem_N7979), unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [4798] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 147.12/22.35
% 147.12/22.35 [4796] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [4802] unequally_directed_lines(skolem_M7878, skolem_N7979), unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [4802] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.35 -> [4890] ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 147.12/22.35
% 147.12/22.35 [4890] BETA_IMPLY : ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 147.12/22.35 -> [4893] ~(line(skolem_N7979) & line(skolem_N7979))
% 147.12/22.35 -> [4894] (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 147.12/22.35
% 147.12/22.35 [4894] BETA_OR : (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [4895] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 147.12/22.35 -> [4896] unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [4895] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 147.12/22.35
% 147.12/22.35 [4896] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.35 -> [5009] ((unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))))
% 147.12/22.35
% 147.12/22.35 [5009] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))))
% 147.12/22.35 -> [5010] ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [5011] (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.12/22.35
% 147.12/22.35 [5010] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [5040] ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 147.12/22.35 -> [5041] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [5041] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [5040] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 147.12/22.35
% 147.12/22.35 [5011] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [5013] left_convergent_lines(skolem_L7777, skolem_N7979)
% 147.12/22.35 -> [5014] left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [5014] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5144] ~(left_apart_point(A39_138_9, L40_138_9) | left_apart_point(A39_138_9, reverse_line(L40_138_9)))
% 147.12/22.35
% 147.12/22.35 [5144] ALPHA_NOT_OR : ~(left_apart_point(A39_138_9, L40_138_9) | left_apart_point(A39_138_9, reverse_line(L40_138_9)))
% 147.12/22.35 -> [5147] ~left_apart_point(A39_138_9, L40_138_9), ~left_apart_point(A39_138_9, reverse_line(L40_138_9))
% 147.12/22.35
% 147.12/22.35 [5147] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.35 -> [5321] ~(left_convergent_lines(L41_21_10, M42_21_10) | left_convergent_lines(L41_21_10, reverse_line(M42_21_10)))
% 147.12/22.35
% 147.12/22.35 [5321] ALPHA_NOT_OR : ~(left_convergent_lines(L41_21_10, M42_21_10) | left_convergent_lines(L41_21_10, reverse_line(M42_21_10)))
% 147.12/22.35 -> [5322] ~left_convergent_lines(L41_21_10, M42_21_10), ~left_convergent_lines(L41_21_10, reverse_line(M42_21_10))
% 147.12/22.35
% 147.12/22.35 [5322] CLOSURE : ~left_convergent_lines(L41_21_10, M42_21_10)
% 147.12/22.35
% 147.12/22.35 [5013] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5160] ~(left_apart_point(A39_142_9, L40_142_9) | left_apart_point(A39_142_9, reverse_line(L40_142_9)))
% 147.12/22.35
% 147.12/22.35 [5160] ALPHA_NOT_OR : ~(left_apart_point(A39_142_9, L40_142_9) | left_apart_point(A39_142_9, reverse_line(L40_142_9)))
% 147.12/22.35 -> [5162] ~left_apart_point(A39_142_9, L40_142_9), ~left_apart_point(A39_142_9, reverse_line(L40_142_9))
% 147.12/22.35
% 147.12/22.35 [5162] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.35 -> [5374] ~(left_convergent_lines(L41_25_10, M42_25_10) | left_convergent_lines(L41_25_10, reverse_line(M42_25_10)))
% 147.12/22.35
% 147.12/22.35 [5374] ALPHA_NOT_OR : ~(left_convergent_lines(L41_25_10, M42_25_10) | left_convergent_lines(L41_25_10, reverse_line(M42_25_10)))
% 147.12/22.35 -> [5375] ~left_convergent_lines(L41_25_10, M42_25_10), ~left_convergent_lines(L41_25_10, reverse_line(M42_25_10))
% 147.12/22.35
% 147.12/22.35 [5375] CLOSURE : ~left_convergent_lines(L41_25_10, M42_25_10)
% 147.12/22.35
% 147.12/22.35 [4893] BETA_NOT_AND : ~(line(skolem_N7979) & line(skolem_N7979))
% 147.12/22.35 -> [4921] ~line(skolem_N7979)
% 147.12/22.35 -> [4922] ~line(skolem_N7979)
% 147.12/22.35
% 147.12/22.35 [4921] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.35 -> [4990] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.35
% 147.12/22.35 [4990] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.35 -> [4991] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [4992] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [4991] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [5031] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [5032] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [5032] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [5031] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [4992] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [4996] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [4997] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [4996] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5153] ~(left_apart_point(A39_140_9, L40_140_9) | left_apart_point(A39_140_9, reverse_line(L40_140_9)))
% 147.12/22.35
% 147.12/22.35 [5153] ALPHA_NOT_OR : ~(left_apart_point(A39_140_9, L40_140_9) | left_apart_point(A39_140_9, reverse_line(L40_140_9)))
% 147.12/22.35 -> [5156] ~left_apart_point(A39_140_9, L40_140_9), ~left_apart_point(A39_140_9, reverse_line(L40_140_9))
% 147.12/22.35
% 147.12/22.35 [5156] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.35 -> [5345] ~(left_convergent_lines(L41_22_10, M42_22_10) | left_convergent_lines(L41_22_10, reverse_line(M42_22_10)))
% 147.12/22.35
% 147.12/22.35 [5345] ALPHA_NOT_OR : ~(left_convergent_lines(L41_22_10, M42_22_10) | left_convergent_lines(L41_22_10, reverse_line(M42_22_10)))
% 147.12/22.35 -> [5346] ~left_convergent_lines(L41_22_10, M42_22_10), ~left_convergent_lines(L41_22_10, reverse_line(M42_22_10))
% 147.12/22.35
% 147.12/22.35 [5346] CLOSURE : ~left_convergent_lines(L41_22_10, M42_22_10)
% 147.12/22.35
% 147.12/22.35 [4997] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5134] ~(left_apart_point(A39_136_9, L40_136_9) | left_apart_point(A39_136_9, reverse_line(L40_136_9)))
% 147.12/22.35
% 147.12/22.35 [5134] ALPHA_NOT_OR : ~(left_apart_point(A39_136_9, L40_136_9) | left_apart_point(A39_136_9, reverse_line(L40_136_9)))
% 147.12/22.35 -> [5137] ~left_apart_point(A39_136_9, L40_136_9), ~left_apart_point(A39_136_9, reverse_line(L40_136_9))
% 147.12/22.35
% 147.12/22.35 [5137] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.35 -> [5349] ~(left_convergent_lines(L41_23_10, M42_23_10) | left_convergent_lines(L41_23_10, reverse_line(M42_23_10)))
% 147.12/22.35
% 147.12/22.35 [5349] ALPHA_NOT_OR : ~(left_convergent_lines(L41_23_10, M42_23_10) | left_convergent_lines(L41_23_10, reverse_line(M42_23_10)))
% 147.12/22.35 -> [5350] ~left_convergent_lines(L41_23_10, M42_23_10), ~left_convergent_lines(L41_23_10, reverse_line(M42_23_10))
% 147.12/22.35
% 147.12/22.35 [5350] CLOSURE : ~left_convergent_lines(L41_23_10, M42_23_10)
% 147.12/22.35
% 147.12/22.35 [4922] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.35 -> [4967] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.35
% 147.12/22.35 [4967] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.35 -> [4968] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [4969] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [4968] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [5003] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [5004] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [5004] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [5003] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [4969] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [4973] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [4974] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [4974] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5111] ~(left_apart_point(A39_131_9, L40_131_9) | left_apart_point(A39_131_9, reverse_line(L40_131_9)))
% 147.12/22.35
% 147.12/22.35 [5111] ALPHA_NOT_OR : ~(left_apart_point(A39_131_9, L40_131_9) | left_apart_point(A39_131_9, reverse_line(L40_131_9)))
% 147.12/22.35 -> [5113] ~left_apart_point(A39_131_9, L40_131_9), ~left_apart_point(A39_131_9, reverse_line(L40_131_9))
% 147.12/22.35
% 147.12/22.35 [5113] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.35 -> [5300] ~(left_convergent_lines(L41_19_10, M42_19_10) | left_convergent_lines(L41_19_10, reverse_line(M42_19_10)))
% 147.12/22.35
% 147.12/22.35 [5300] ALPHA_NOT_OR : ~(left_convergent_lines(L41_19_10, M42_19_10) | left_convergent_lines(L41_19_10, reverse_line(M42_19_10)))
% 147.12/22.35 -> [5304] ~left_convergent_lines(L41_19_10, M42_19_10), ~left_convergent_lines(L41_19_10, reverse_line(M42_19_10))
% 147.12/22.35
% 147.12/22.35 [5304] CLOSURE : ~left_convergent_lines(L41_19_10, M42_19_10)
% 147.12/22.35
% 147.12/22.35 [4973] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5141] ~(left_apart_point(A39_137_9, L40_137_9) | left_apart_point(A39_137_9, reverse_line(L40_137_9)))
% 147.12/22.35
% 147.12/22.35 [5141] ALPHA_NOT_OR : ~(left_apart_point(A39_137_9, L40_137_9) | left_apart_point(A39_137_9, reverse_line(L40_137_9)))
% 147.12/22.35 -> [5142] ~left_apart_point(A39_137_9, L40_137_9), ~left_apart_point(A39_137_9, reverse_line(L40_137_9))
% 147.12/22.35
% 147.12/22.35 [5142] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.35 -> [5393] ~(left_convergent_lines(L41_28_10, M42_28_10) | left_convergent_lines(L41_28_10, reverse_line(M42_28_10)))
% 147.12/22.35
% 147.12/22.35 [5393] ALPHA_NOT_OR : ~(left_convergent_lines(L41_28_10, M42_28_10) | left_convergent_lines(L41_28_10, reverse_line(M42_28_10)))
% 147.12/22.35 -> [5394] ~left_convergent_lines(L41_28_10, M42_28_10), ~left_convergent_lines(L41_28_10, reverse_line(M42_28_10))
% 147.12/22.35
% 147.12/22.35 [5394] CLOSURE : ~left_convergent_lines(L41_28_10, M42_28_10)
% 147.12/22.35
% 147.12/22.35 [503] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.12/22.35 -> [512] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.35 -> [513] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [513] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.35 -> [520] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [520] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.35 -> [523] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.12/22.35 -> [524] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [523] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.35 -> [986] ~distinct_points(C23_51_1, C23_51_1)
% 147.12/22.35
% 147.12/22.35 [986] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.35 -> [1010] (distinct_points(C23_51_1, C23_51_1) => (distinct_points(C23_51_1, C23_51_1) | distinct_points(C23_51_1, C23_51_1)))
% 147.12/22.35
% 147.12/22.35 [1010] BETA_IMPLY : (distinct_points(C23_51_1, C23_51_1) => (distinct_points(C23_51_1, C23_51_1) | distinct_points(C23_51_1, C23_51_1)))
% 147.12/22.35 -> [1011] ~distinct_points(C23_51_1, C23_51_1)
% 147.12/22.35 -> [1012] (distinct_points(C23_51_1, C23_51_1) | distinct_points(C23_51_1, C23_51_1))
% 147.12/22.35
% 147.12/22.35 [1012] BETA_OR : (distinct_points(C23_51_1, C23_51_1) | distinct_points(C23_51_1, C23_51_1))
% 147.12/22.35 -> [1014] distinct_points(C23_51_1, C23_51_1)
% 147.12/22.35 -> [1015] distinct_points(C23_51_1, C23_51_1)
% 147.12/22.35
% 147.12/22.35 [1014] CLOSURE : distinct_points(C23_51_1, C23_51_1)
% 147.12/22.35
% 147.12/22.35 [1015] CLOSURE : distinct_points(C23_51_1, C23_51_1)
% 147.12/22.35
% 147.12/22.35 [1011] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.35 -> [1535] ~distinct_lines(N27_7_3, N27_7_3)
% 147.12/22.35
% 147.12/22.35 [1535] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.35 -> [1556] (distinct_lines(N27_7_3, N27_7_3) => (distinct_lines(N27_7_3, N27_7_3) | distinct_lines(N27_7_3, N27_7_3)))
% 147.12/22.35
% 147.12/22.35 [1556] BETA_IMPLY : (distinct_lines(N27_7_3, N27_7_3) => (distinct_lines(N27_7_3, N27_7_3) | distinct_lines(N27_7_3, N27_7_3)))
% 147.12/22.35 -> [1557] ~distinct_lines(N27_7_3, N27_7_3)
% 147.12/22.35 -> [1558] (distinct_lines(N27_7_3, N27_7_3) | distinct_lines(N27_7_3, N27_7_3))
% 147.12/22.35
% 147.12/22.35 [1558] BETA_OR : (distinct_lines(N27_7_3, N27_7_3) | distinct_lines(N27_7_3, N27_7_3))
% 147.12/22.35 -> [1562] distinct_lines(N27_7_3, N27_7_3)
% 147.12/22.35 -> [1563] distinct_lines(N27_7_3, N27_7_3)
% 147.12/22.35
% 147.12/22.35 [1563] CLOSURE : distinct_lines(N27_7_3, N27_7_3)
% 147.12/22.35
% 147.12/22.35 [1562] CLOSURE : distinct_lines(N27_7_3, N27_7_3)
% 147.12/22.35
% 147.12/22.35 [1557] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.35 -> [1672] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [1672] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.35 -> [1746] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [1746] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 147.12/22.35 -> [1747] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35 -> [1748] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [1747] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [1748] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 147.12/22.35 -> [3278] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.35 -> [3279] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [3278] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [3279] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.35 -> [4064] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.35
% 147.12/22.35 [4064] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.35 -> [4065] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [4066] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.35
% 147.12/22.35 [4065] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [4077] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.35 -> [4078] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [4078] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [4077] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.35
% 147.12/22.35 [4066] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.35 -> [4731] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [4732] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [4731] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [4746] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [4746] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [4732] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [4736] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [4736] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.35 -> [4850] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.35
% 147.12/22.35 [4850] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.35 -> [4854] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.35 -> [4855] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [4854] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.35 -> [4873] ~line(skolem_M7878)
% 147.12/22.35 -> [4874] ~line(skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [4873] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.35 -> [4919] ((unequally_directed_lines(skolem_N7979, M38_68_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_68_8))) => (left_convergent_lines(skolem_N7979, M38_68_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_68_8))))
% 147.12/22.35
% 147.12/22.35 [4919] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_68_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_68_8))) => (left_convergent_lines(skolem_N7979, M38_68_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_68_8))))
% 147.12/22.35 -> [4923] ~(unequally_directed_lines(skolem_N7979, M38_68_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_68_8)))
% 147.12/22.35 -> [4924] (left_convergent_lines(skolem_N7979, M38_68_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_68_8)))
% 147.12/22.35
% 147.12/22.35 [4924] BETA_OR : (left_convergent_lines(skolem_N7979, M38_68_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_68_8)))
% 147.12/22.35 -> [4929] left_convergent_lines(skolem_N7979, M38_68_8)
% 147.12/22.35 -> [4930] left_convergent_lines(skolem_N7979, reverse_line(M38_68_8))
% 147.12/22.35
% 147.12/22.35 [4930] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5030] ~(left_apart_point(A39_121_9, L40_121_9) | left_apart_point(A39_121_9, reverse_line(L40_121_9)))
% 147.12/22.35
% 147.12/22.35 [5030] ALPHA_NOT_OR : ~(left_apart_point(A39_121_9, L40_121_9) | left_apart_point(A39_121_9, reverse_line(L40_121_9)))
% 147.12/22.35 -> [5033] ~left_apart_point(A39_121_9, L40_121_9), ~left_apart_point(A39_121_9, reverse_line(L40_121_9))
% 147.12/22.35
% 147.12/22.35 [5033] CLOSURE : ~left_apart_point(A39_121_9, L40_121_9)
% 147.12/22.35
% 147.12/22.35 [4929] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5073] ~(left_apart_point(A39_126_9, L40_126_9) | left_apart_point(A39_126_9, reverse_line(L40_126_9)))
% 147.12/22.35
% 147.12/22.35 [5073] ALPHA_NOT_OR : ~(left_apart_point(A39_126_9, L40_126_9) | left_apart_point(A39_126_9, reverse_line(L40_126_9)))
% 147.12/22.35 -> [5076] ~left_apart_point(A39_126_9, L40_126_9), ~left_apart_point(A39_126_9, reverse_line(L40_126_9))
% 147.12/22.35
% 147.12/22.35 [5076] CLOSURE : ~left_apart_point(A39_126_9, L40_126_9)
% 147.12/22.35
% 147.12/22.35 [4923] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_68_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_68_8)))
% 147.12/22.35 -> [5036] ~unequally_directed_lines(skolem_N7979, M38_68_8)
% 147.12/22.35 -> [5037] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_68_8))
% 147.12/22.35
% 147.12/22.35 [5037] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_68_8))
% 147.12/22.35
% 147.12/22.35 [5036] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_68_8)
% 147.12/22.35
% 147.12/22.35 [4874] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.35 -> [4897] ((unequally_directed_lines(skolem_N7979, M38_66_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_66_8))) => (left_convergent_lines(skolem_N7979, M38_66_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_66_8))))
% 147.12/22.35
% 147.12/22.35 [4897] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_66_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_66_8))) => (left_convergent_lines(skolem_N7979, M38_66_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_66_8))))
% 147.12/22.35 -> [4898] ~(unequally_directed_lines(skolem_N7979, M38_66_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_66_8)))
% 147.12/22.35 -> [4899] (left_convergent_lines(skolem_N7979, M38_66_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_66_8)))
% 147.12/22.35
% 147.12/22.35 [4898] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_66_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_66_8)))
% 147.12/22.35 -> [4937] ~unequally_directed_lines(skolem_N7979, M38_66_8)
% 147.12/22.35 -> [4938] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_66_8))
% 147.12/22.35
% 147.12/22.35 [4938] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_66_8))
% 147.12/22.35
% 147.12/22.35 [4937] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_66_8)
% 147.12/22.35
% 147.12/22.35 [4899] BETA_OR : (left_convergent_lines(skolem_N7979, M38_66_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_66_8)))
% 147.12/22.35 -> [4904] left_convergent_lines(skolem_N7979, M38_66_8)
% 147.12/22.35 -> [4905] left_convergent_lines(skolem_N7979, reverse_line(M38_66_8))
% 147.12/22.35
% 147.12/22.35 [4905] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5015] ~(left_apart_point(A39_118_9, L40_118_9) | left_apart_point(A39_118_9, reverse_line(L40_118_9)))
% 147.12/22.35
% 147.12/22.35 [5015] ALPHA_NOT_OR : ~(left_apart_point(A39_118_9, L40_118_9) | left_apart_point(A39_118_9, reverse_line(L40_118_9)))
% 147.12/22.35 -> [5016] ~left_apart_point(A39_118_9, L40_118_9), ~left_apart_point(A39_118_9, reverse_line(L40_118_9))
% 147.12/22.35
% 147.12/22.35 [5016] CLOSURE : ~left_apart_point(A39_118_9, L40_118_9)
% 147.12/22.35
% 147.12/22.35 [4904] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5083] ~(left_apart_point(A39_128_9, L40_128_9) | left_apart_point(A39_128_9, reverse_line(L40_128_9)))
% 147.12/22.35
% 147.12/22.35 [5083] ALPHA_NOT_OR : ~(left_apart_point(A39_128_9, L40_128_9) | left_apart_point(A39_128_9, reverse_line(L40_128_9)))
% 147.12/22.35 -> [5084] ~left_apart_point(A39_128_9, L40_128_9), ~left_apart_point(A39_128_9, reverse_line(L40_128_9))
% 147.12/22.35
% 147.12/22.35 [5084] CLOSURE : ~left_apart_point(A39_128_9, L40_128_9)
% 147.12/22.35
% 147.12/22.35 [4855] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [4863] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.35 -> [4864] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [4863] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [4864] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.35 -> [4951] ((unequally_directed_lines(skolem_N7979, M38_69_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_69_8))) => (left_convergent_lines(skolem_N7979, M38_69_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_69_8))))
% 147.12/22.35
% 147.12/22.35 [4951] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_69_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_69_8))) => (left_convergent_lines(skolem_N7979, M38_69_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_69_8))))
% 147.12/22.35 -> [4953] ~(unequally_directed_lines(skolem_N7979, M38_69_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_69_8)))
% 147.12/22.35 -> [4954] (left_convergent_lines(skolem_N7979, M38_69_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_69_8)))
% 147.12/22.35
% 147.12/22.35 [4954] BETA_OR : (left_convergent_lines(skolem_N7979, M38_69_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_69_8)))
% 147.12/22.35 -> [4957] left_convergent_lines(skolem_N7979, M38_69_8)
% 147.12/22.35 -> [4958] left_convergent_lines(skolem_N7979, reverse_line(M38_69_8))
% 147.12/22.35
% 147.12/22.35 [4958] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5043] ~(left_apart_point(A39_123_9, L40_123_9) | left_apart_point(A39_123_9, reverse_line(L40_123_9)))
% 147.12/22.35
% 147.12/22.35 [5043] ALPHA_NOT_OR : ~(left_apart_point(A39_123_9, L40_123_9) | left_apart_point(A39_123_9, reverse_line(L40_123_9)))
% 147.12/22.35 -> [5046] ~left_apart_point(A39_123_9, L40_123_9), ~left_apart_point(A39_123_9, reverse_line(L40_123_9))
% 147.12/22.35
% 147.12/22.35 [5046] CLOSURE : ~left_apart_point(A39_123_9, L40_123_9)
% 147.12/22.35
% 147.12/22.35 [4957] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5090] ~(left_apart_point(A39_129_9, L40_129_9) | left_apart_point(A39_129_9, reverse_line(L40_129_9)))
% 147.12/22.35
% 147.12/22.35 [5090] ALPHA_NOT_OR : ~(left_apart_point(A39_129_9, L40_129_9) | left_apart_point(A39_129_9, reverse_line(L40_129_9)))
% 147.12/22.35 -> [5091] ~left_apart_point(A39_129_9, L40_129_9), ~left_apart_point(A39_129_9, reverse_line(L40_129_9))
% 147.12/22.35
% 147.12/22.35 [5091] CLOSURE : ~left_apart_point(A39_129_9, L40_129_9)
% 147.12/22.35
% 147.12/22.35 [4953] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_69_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_69_8)))
% 147.12/22.35 -> [4977] ~unequally_directed_lines(skolem_N7979, M38_69_8)
% 147.12/22.35 -> [4978] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_69_8))
% 147.12/22.35
% 147.12/22.35 [4978] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_69_8))
% 147.12/22.35
% 147.12/22.35 [4977] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_69_8)
% 147.12/22.35
% 147.12/22.35 [524] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.35 -> [555] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.35
% 147.12/22.35 [555] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.35 -> [577] (distinct_points(skolem_A8080, skolem_B8181) => (distinct_points(skolem_A8080, skolem_A8080) | distinct_points(skolem_B8181, skolem_A8080)))
% 147.12/22.35
% 147.12/22.35 [577] BETA_IMPLY : (distinct_points(skolem_A8080, skolem_B8181) => (distinct_points(skolem_A8080, skolem_A8080) | distinct_points(skolem_B8181, skolem_A8080)))
% 147.12/22.35 -> [578] ~distinct_points(skolem_A8080, skolem_B8181)
% 147.12/22.35 -> [579] (distinct_points(skolem_A8080, skolem_A8080) | distinct_points(skolem_B8181, skolem_A8080))
% 147.12/22.35
% 147.12/22.35 [578] CLOSURE : ~distinct_points(skolem_A8080, skolem_B8181)
% 147.12/22.35
% 147.12/22.35 [579] BETA_OR : (distinct_points(skolem_A8080, skolem_A8080) | distinct_points(skolem_B8181, skolem_A8080))
% 147.12/22.35 -> [1536] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.35 -> [1537] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.35
% 147.12/22.35 [1536] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.35
% 147.12/22.35 [1537] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.35 -> [2621] ~distinct_lines(N27_73_3, N27_73_3)
% 147.12/22.35
% 147.12/22.35 [2621] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.35 -> [2651] (distinct_lines(N27_73_3, N27_73_3) => (distinct_lines(N27_73_3, N27_73_3) | distinct_lines(N27_73_3, N27_73_3)))
% 147.12/22.35
% 147.12/22.35 [2651] BETA_IMPLY : (distinct_lines(N27_73_3, N27_73_3) => (distinct_lines(N27_73_3, N27_73_3) | distinct_lines(N27_73_3, N27_73_3)))
% 147.12/22.35 -> [2653] ~distinct_lines(N27_73_3, N27_73_3)
% 147.12/22.35 -> [2654] (distinct_lines(N27_73_3, N27_73_3) | distinct_lines(N27_73_3, N27_73_3))
% 147.12/22.35
% 147.12/22.35 [2654] BETA_OR : (distinct_lines(N27_73_3, N27_73_3) | distinct_lines(N27_73_3, N27_73_3))
% 147.12/22.35 -> [2658] distinct_lines(N27_73_3, N27_73_3)
% 147.12/22.35 -> [2659] distinct_lines(N27_73_3, N27_73_3)
% 147.12/22.35
% 147.12/22.35 [2659] CLOSURE : distinct_lines(N27_73_3, N27_73_3)
% 147.12/22.35
% 147.12/22.35 [2658] CLOSURE : distinct_lines(N27_73_3, N27_73_3)
% 147.12/22.35
% 147.12/22.35 [2653] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.35 -> [2687] ~unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [2687] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.35 -> [2751] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.35
% 147.12/22.35 [2751] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.35 -> [2752] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35 -> [2753] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.35
% 147.12/22.35 [2752] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [2753] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.35 -> [3167] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35 -> [3168] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [3168] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [3167] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.35 -> [4352] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))))
% 147.12/22.35
% 147.12/22.35 [4352] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))))
% 147.12/22.35 -> [4353] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [4354] ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.12/22.35
% 147.12/22.35 [4353] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [4370] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [4371] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [4371] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [4370] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [4354] BETA_OR : ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.12/22.35 -> [4725] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.12/22.35 -> [4726] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [4725] ALPHA_AND : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.12/22.35 -> [4735] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.12/22.35
% 147.12/22.35 [4735] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.12/22.35
% 147.12/22.35 [4726] ALPHA_AND : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.12/22.35 -> [4729] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)), unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.12/22.35
% 147.12/22.35 [4729] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.35 -> [4754] ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.12/22.35
% 147.12/22.35 [4754] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.12/22.35 -> [4755] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.12/22.35 -> [4756] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [4756] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.12/22.35 -> [4760] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.12/22.35 -> [4761] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.12/22.35
% 147.12/22.35 [4760] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.12/22.35
% 147.12/22.35 [4761] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.35 -> [5044] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.35
% 147.12/22.35 [5044] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.35 -> [5047] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [5048] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [5048] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [5053] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [5054] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [5054] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5223] ~(left_apart_point(A39_152_9, L40_152_9) | left_apart_point(A39_152_9, reverse_line(L40_152_9)))
% 147.12/22.35
% 147.12/22.35 [5223] ALPHA_NOT_OR : ~(left_apart_point(A39_152_9, L40_152_9) | left_apart_point(A39_152_9, reverse_line(L40_152_9)))
% 147.12/22.35 -> [5226] ~left_apart_point(A39_152_9, L40_152_9), ~left_apart_point(A39_152_9, reverse_line(L40_152_9))
% 147.12/22.35
% 147.12/22.35 [5226] CLOSURE : ~left_apart_point(A39_152_9, L40_152_9)
% 147.12/22.35
% 147.12/22.35 [5053] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5280] ~(left_apart_point(A39_157_9, L40_157_9) | left_apart_point(A39_157_9, reverse_line(L40_157_9)))
% 147.12/22.35
% 147.12/22.35 [5280] ALPHA_NOT_OR : ~(left_apart_point(A39_157_9, L40_157_9) | left_apart_point(A39_157_9, reverse_line(L40_157_9)))
% 147.12/22.35 -> [5281] ~left_apart_point(A39_157_9, L40_157_9), ~left_apart_point(A39_157_9, reverse_line(L40_157_9))
% 147.12/22.35
% 147.12/22.35 [5281] CLOSURE : ~left_apart_point(A39_157_9, L40_157_9)
% 147.12/22.35
% 147.12/22.35 [5047] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [5125] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [5126] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [5126] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [5125] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [4755] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.12/22.35 -> [4764] ~line(skolem_L7777)
% 147.12/22.35 -> [4765] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 147.12/22.35
% 147.12/22.35 [4764] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.35 -> [5761] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.35
% 147.12/22.35 [5761] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.35 -> [5762] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [5763] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [5763] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [5768] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [5769] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [5769] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5945] ~(left_apart_point(A39_214_9, L40_214_9) | left_apart_point(A39_214_9, reverse_line(L40_214_9)))
% 147.12/22.35
% 147.12/22.35 [5945] ALPHA_NOT_OR : ~(left_apart_point(A39_214_9, L40_214_9) | left_apart_point(A39_214_9, reverse_line(L40_214_9)))
% 147.12/22.35 -> [5947] ~left_apart_point(A39_214_9, L40_214_9), ~left_apart_point(A39_214_9, reverse_line(L40_214_9))
% 147.12/22.35
% 147.12/22.35 [5947] CLOSURE : ~left_apart_point(A39_214_9, L40_214_9)
% 147.12/22.35
% 147.12/22.35 [5768] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [6000] ~(left_apart_point(A39_223_9, L40_223_9) | left_apart_point(A39_223_9, reverse_line(L40_223_9)))
% 147.12/22.35
% 147.12/22.35 [6000] ALPHA_NOT_OR : ~(left_apart_point(A39_223_9, L40_223_9) | left_apart_point(A39_223_9, reverse_line(L40_223_9)))
% 147.12/22.35 -> [6004] ~left_apart_point(A39_223_9, L40_223_9), ~left_apart_point(A39_223_9, reverse_line(L40_223_9))
% 147.12/22.35
% 147.12/22.35 [6004] CLOSURE : ~left_apart_point(A39_223_9, L40_223_9)
% 147.12/22.35
% 147.12/22.35 [5762] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [5816] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [5817] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [5817] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [5816] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [4765] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.35 -> [5692] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.35
% 147.12/22.35 [5692] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.35 -> [5693] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [5694] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [5694] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [5697] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [5698] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [5698] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [5943] ~(left_apart_point(A39_213_9, L40_213_9) | left_apart_point(A39_213_9, reverse_line(L40_213_9)))
% 147.12/22.35
% 147.12/22.35 [5943] ALPHA_NOT_OR : ~(left_apart_point(A39_213_9, L40_213_9) | left_apart_point(A39_213_9, reverse_line(L40_213_9)))
% 147.12/22.35 -> [5944] ~left_apart_point(A39_213_9, L40_213_9), ~left_apart_point(A39_213_9, reverse_line(L40_213_9))
% 147.12/22.35
% 147.12/22.35 [5944] CLOSURE : ~left_apart_point(A39_213_9, L40_213_9)
% 147.12/22.35
% 147.12/22.35 [5697] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [6026] ~(left_apart_point(A39_226_9, L40_226_9) | left_apart_point(A39_226_9, reverse_line(L40_226_9)))
% 147.12/22.35
% 147.12/22.35 [6026] ALPHA_NOT_OR : ~(left_apart_point(A39_226_9, L40_226_9) | left_apart_point(A39_226_9, reverse_line(L40_226_9)))
% 147.12/22.35 -> [6027] ~left_apart_point(A39_226_9, L40_226_9), ~left_apart_point(A39_226_9, reverse_line(L40_226_9))
% 147.12/22.35
% 147.12/22.35 [6027] CLOSURE : ~left_apart_point(A39_226_9, L40_226_9)
% 147.12/22.35
% 147.12/22.35 [5693] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [5747] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [5748] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [5748] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [5747] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [512] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.35 -> [533] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.35 -> [534] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [534] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [538] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [538] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [542] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.35 -> [543] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [543] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [542] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [533] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.35 -> [1037] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.12/22.35
% 147.12/22.35 [1037] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.35 -> [1119] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.12/22.35
% 147.12/22.35 [1119] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.12/22.35 -> [1122] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.35 -> [1123] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.12/22.35
% 147.12/22.35 [1122] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.35
% 147.12/22.35 [1123] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.12/22.35 -> [2001] distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.35 -> [2002] distinct_points(skolem_C8282, skolem_C8282)
% 147.12/22.35
% 147.12/22.35 [2002] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.12/22.35
% 147.12/22.35 [2001] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.35 -> [2098] ~distinct_lines(N27_44_3, N27_44_3)
% 147.12/22.35
% 147.12/22.35 [2098] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.35 -> [2120] (distinct_lines(N27_44_3, N27_44_3) => (distinct_lines(N27_44_3, N27_44_3) | distinct_lines(N27_44_3, N27_44_3)))
% 147.12/22.35
% 147.12/22.35 [2120] BETA_IMPLY : (distinct_lines(N27_44_3, N27_44_3) => (distinct_lines(N27_44_3, N27_44_3) | distinct_lines(N27_44_3, N27_44_3)))
% 147.12/22.35 -> [2121] ~distinct_lines(N27_44_3, N27_44_3)
% 147.12/22.35 -> [2122] (distinct_lines(N27_44_3, N27_44_3) | distinct_lines(N27_44_3, N27_44_3))
% 147.12/22.35
% 147.12/22.35 [2122] BETA_OR : (distinct_lines(N27_44_3, N27_44_3) | distinct_lines(N27_44_3, N27_44_3))
% 147.12/22.35 -> [2128] distinct_lines(N27_44_3, N27_44_3)
% 147.12/22.35 -> [2129] distinct_lines(N27_44_3, N27_44_3)
% 147.12/22.35
% 147.12/22.35 [2128] CLOSURE : distinct_lines(N27_44_3, N27_44_3)
% 147.12/22.35
% 147.12/22.35 [2129] CLOSURE : distinct_lines(N27_44_3, N27_44_3)
% 147.12/22.35
% 147.12/22.35 [2121] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.35 -> [2152] ~unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [2152] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.35 -> [2262] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.35
% 147.12/22.35 [2262] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.35 -> [2263] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35 -> [2264] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.35
% 147.12/22.35 [2263] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [2264] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.35 -> [3083] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35 -> [3084] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [3084] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [3083] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.35 -> [3976] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_30_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_30_6))) | (unequally_directed_lines(skolem_N7979, N34_30_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_30_6)))))
% 147.12/22.35
% 147.12/22.35 [3976] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_30_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_30_6))) | (unequally_directed_lines(skolem_N7979, N34_30_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_30_6)))))
% 147.12/22.35 -> [3977] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [3978] ((unequally_directed_lines(skolem_M7878, N34_30_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_30_6))) | (unequally_directed_lines(skolem_N7979, N34_30_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_30_6))))
% 147.12/22.35
% 147.12/22.35 [3977] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [3994] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.35 -> [3995] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [3995] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [3994] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.35
% 147.12/22.35 [3978] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_30_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_30_6))) | (unequally_directed_lines(skolem_N7979, N34_30_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_30_6))))
% 147.12/22.35 -> [5924] (unequally_directed_lines(skolem_M7878, N34_30_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_30_6)))
% 147.12/22.35 -> [5925] (unequally_directed_lines(skolem_N7979, N34_30_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_30_6)))
% 147.12/22.35
% 147.12/22.35 [5925] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_30_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_30_6)))
% 147.12/22.35 -> [5931] unequally_directed_lines(skolem_N7979, N34_30_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_30_6))
% 147.12/22.35
% 147.12/22.35 [5931] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.35 -> [6177] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.12/22.35
% 147.12/22.35 [6177] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.12/22.35 -> [6180] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.35 -> [6181] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.35
% 147.12/22.35 [6181] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.35 -> [6185] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35 -> [6186] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.35
% 147.12/22.35 [6185] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [6186] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.35 -> [6355] ((unequally_directed_lines(skolem_N7979, M38_143_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_143_8))) => (left_convergent_lines(skolem_N7979, M38_143_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_143_8))))
% 147.12/22.35
% 147.12/22.35 [6355] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_143_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_143_8))) => (left_convergent_lines(skolem_N7979, M38_143_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_143_8))))
% 147.12/22.35 -> [6358] ~(unequally_directed_lines(skolem_N7979, M38_143_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_143_8)))
% 147.12/22.35 -> [6359] (left_convergent_lines(skolem_N7979, M38_143_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_143_8)))
% 147.12/22.35
% 147.12/22.35 [6358] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_143_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_143_8)))
% 147.12/22.35 -> [6410] ~unequally_directed_lines(skolem_N7979, M38_143_8)
% 147.12/22.35 -> [6411] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_143_8))
% 147.12/22.35
% 147.12/22.35 [6410] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_143_8)
% 147.12/22.35
% 147.12/22.35 [6411] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_143_8))
% 147.12/22.35
% 147.12/22.35 [6359] BETA_OR : (left_convergent_lines(skolem_N7979, M38_143_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_143_8)))
% 147.12/22.35 -> [6368] left_convergent_lines(skolem_N7979, M38_143_8)
% 147.12/22.35 -> [6369] left_convergent_lines(skolem_N7979, reverse_line(M38_143_8))
% 147.12/22.35
% 147.12/22.35 [6369] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [6485] ~(left_apart_point(A39_253_9, L40_253_9) | left_apart_point(A39_253_9, reverse_line(L40_253_9)))
% 147.12/22.35
% 147.12/22.35 [6485] ALPHA_NOT_OR : ~(left_apart_point(A39_253_9, L40_253_9) | left_apart_point(A39_253_9, reverse_line(L40_253_9)))
% 147.12/22.35 -> [6487] ~left_apart_point(A39_253_9, L40_253_9), ~left_apart_point(A39_253_9, reverse_line(L40_253_9))
% 147.12/22.35
% 147.12/22.35 [6487] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.35 -> [6757] ~(left_convergent_lines(L41_53_10, M42_53_10) | left_convergent_lines(L41_53_10, reverse_line(M42_53_10)))
% 147.12/22.35
% 147.12/22.35 [6757] ALPHA_NOT_OR : ~(left_convergent_lines(L41_53_10, M42_53_10) | left_convergent_lines(L41_53_10, reverse_line(M42_53_10)))
% 147.12/22.35 -> [6761] ~left_convergent_lines(L41_53_10, M42_53_10), ~left_convergent_lines(L41_53_10, reverse_line(M42_53_10))
% 147.12/22.35
% 147.12/22.35 [6761] CLOSURE : ~left_convergent_lines(L41_53_10, M42_53_10)
% 147.12/22.35
% 147.12/22.35 [6368] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [6851] ~(left_apart_point(A39_290_9, L40_290_9) | left_apart_point(A39_290_9, reverse_line(L40_290_9)))
% 147.12/22.35
% 147.12/22.35 [6851] ALPHA_NOT_OR : ~(left_apart_point(A39_290_9, L40_290_9) | left_apart_point(A39_290_9, reverse_line(L40_290_9)))
% 147.12/22.35 -> [6853] ~left_apart_point(A39_290_9, L40_290_9), ~left_apart_point(A39_290_9, reverse_line(L40_290_9))
% 147.12/22.35
% 147.12/22.35 [6853] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.35 -> [7131] ~(left_convergent_lines(L41_78_10, M42_78_10) | left_convergent_lines(L41_78_10, reverse_line(M42_78_10)))
% 147.12/22.35
% 147.12/22.35 [7131] ALPHA_NOT_OR : ~(left_convergent_lines(L41_78_10, M42_78_10) | left_convergent_lines(L41_78_10, reverse_line(M42_78_10)))
% 147.12/22.35 -> [7133] ~left_convergent_lines(L41_78_10, M42_78_10), ~left_convergent_lines(L41_78_10, reverse_line(M42_78_10))
% 147.12/22.35
% 147.12/22.35 [7133] CLOSURE : ~left_convergent_lines(L41_78_10, M42_78_10)
% 147.12/22.35
% 147.12/22.35 [6180] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.35 -> [6229] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35 -> [6230] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [6229] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.35 -> [6390] ((unequally_directed_lines(skolem_N7979, M38_146_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_146_8))) => (left_convergent_lines(skolem_N7979, M38_146_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_146_8))))
% 147.12/22.35
% 147.12/22.35 [6390] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_146_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_146_8))) => (left_convergent_lines(skolem_N7979, M38_146_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_146_8))))
% 147.12/22.35 -> [6391] ~(unequally_directed_lines(skolem_N7979, M38_146_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_146_8)))
% 147.12/22.35 -> [6392] (left_convergent_lines(skolem_N7979, M38_146_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_146_8)))
% 147.12/22.35
% 147.12/22.35 [6391] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_146_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_146_8)))
% 147.12/22.35 -> [6431] ~unequally_directed_lines(skolem_N7979, M38_146_8)
% 147.12/22.35 -> [6432] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_146_8))
% 147.12/22.35
% 147.12/22.35 [6432] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_146_8))
% 147.12/22.35
% 147.12/22.35 [6431] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_146_8)
% 147.12/22.35
% 147.12/22.35 [6392] BETA_OR : (left_convergent_lines(skolem_N7979, M38_146_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_146_8)))
% 147.12/22.35 -> [6397] left_convergent_lines(skolem_N7979, M38_146_8)
% 147.12/22.35 -> [6398] left_convergent_lines(skolem_N7979, reverse_line(M38_146_8))
% 147.12/22.35
% 147.12/22.35 [6397] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [8249] ~(left_apart_point(A39_468_9, L40_468_9) | left_apart_point(A39_468_9, reverse_line(L40_468_9)))
% 147.12/22.35
% 147.12/22.35 [8249] ALPHA_NOT_OR : ~(left_apart_point(A39_468_9, L40_468_9) | left_apart_point(A39_468_9, reverse_line(L40_468_9)))
% 147.12/22.35 -> [8252] ~left_apart_point(A39_468_9, L40_468_9), ~left_apart_point(A39_468_9, reverse_line(L40_468_9))
% 147.12/22.35
% 147.12/22.35 [8252] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.35 -> [8490] ~(left_convergent_lines(L41_133_10, M42_133_10) | left_convergent_lines(L41_133_10, reverse_line(M42_133_10)))
% 147.12/22.35
% 147.12/22.35 [8490] ALPHA_NOT_OR : ~(left_convergent_lines(L41_133_10, M42_133_10) | left_convergent_lines(L41_133_10, reverse_line(M42_133_10)))
% 147.12/22.35 -> [8491] ~left_convergent_lines(L41_133_10, M42_133_10), ~left_convergent_lines(L41_133_10, reverse_line(M42_133_10))
% 147.12/22.35
% 147.12/22.35 [8491] CLOSURE : ~left_convergent_lines(L41_133_10, M42_133_10)
% 147.12/22.35
% 147.12/22.35 [6398] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [8270] ~(left_apart_point(A39_473_9, L40_473_9) | left_apart_point(A39_473_9, reverse_line(L40_473_9)))
% 147.12/22.35
% 147.12/22.35 [8270] ALPHA_NOT_OR : ~(left_apart_point(A39_473_9, L40_473_9) | left_apart_point(A39_473_9, reverse_line(L40_473_9)))
% 147.12/22.35 -> [8272] ~left_apart_point(A39_473_9, L40_473_9), ~left_apart_point(A39_473_9, reverse_line(L40_473_9))
% 147.12/22.35
% 147.12/22.35 [8272] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.35 -> [8694] ~(left_convergent_lines(L41_151_10, M42_151_10) | left_convergent_lines(L41_151_10, reverse_line(M42_151_10)))
% 147.12/22.35
% 147.12/22.35 [8694] ALPHA_NOT_OR : ~(left_convergent_lines(L41_151_10, M42_151_10) | left_convergent_lines(L41_151_10, reverse_line(M42_151_10)))
% 147.12/22.35 -> [8697] ~left_convergent_lines(L41_151_10, M42_151_10), ~left_convergent_lines(L41_151_10, reverse_line(M42_151_10))
% 147.12/22.35
% 147.12/22.35 [8697] CLOSURE : ~left_convergent_lines(L41_151_10, M42_151_10)
% 147.12/22.35
% 147.12/22.35 [6230] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.35 -> [6328] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.35
% 147.12/22.35 [6328] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.35 -> [6333] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [6334] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.35
% 147.12/22.35 [6333] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [6404] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.35 -> [6405] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [6405] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [6404] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.35
% 147.12/22.35 [6334] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.35 -> [6342] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.35 -> [6343] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.35
% 147.12/22.35 [6342] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [6504] ~(left_apart_point(A39_254_9, L40_254_9) | left_apart_point(A39_254_9, reverse_line(L40_254_9)))
% 147.12/22.35
% 147.12/22.35 [6504] ALPHA_NOT_OR : ~(left_apart_point(A39_254_9, L40_254_9) | left_apart_point(A39_254_9, reverse_line(L40_254_9)))
% 147.12/22.35 -> [6507] ~left_apart_point(A39_254_9, L40_254_9), ~left_apart_point(A39_254_9, reverse_line(L40_254_9))
% 147.12/22.35
% 147.12/22.35 [6507] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.35 -> [7349] ~(left_convergent_lines(L41_84_10, M42_84_10) | left_convergent_lines(L41_84_10, reverse_line(M42_84_10)))
% 147.12/22.35
% 147.12/22.35 [7349] ALPHA_NOT_OR : ~(left_convergent_lines(L41_84_10, M42_84_10) | left_convergent_lines(L41_84_10, reverse_line(M42_84_10)))
% 147.12/22.35 -> [7351] ~left_convergent_lines(L41_84_10, M42_84_10), ~left_convergent_lines(L41_84_10, reverse_line(M42_84_10))
% 147.12/22.35
% 147.12/22.35 [7351] CLOSURE : ~left_convergent_lines(L41_84_10, M42_84_10)
% 147.12/22.35
% 147.12/22.35 [6343] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [8454] ~(left_apart_point(A39_496_9, L40_496_9) | left_apart_point(A39_496_9, reverse_line(L40_496_9)))
% 147.12/22.35
% 147.12/22.35 [8454] ALPHA_NOT_OR : ~(left_apart_point(A39_496_9, L40_496_9) | left_apart_point(A39_496_9, reverse_line(L40_496_9)))
% 147.12/22.35 -> [8458] ~left_apart_point(A39_496_9, L40_496_9), ~left_apart_point(A39_496_9, reverse_line(L40_496_9))
% 147.12/22.35
% 147.12/22.35 [8458] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.35 -> [8707] ~(left_convergent_lines(L41_153_10, M42_153_10) | left_convergent_lines(L41_153_10, reverse_line(M42_153_10)))
% 147.12/22.35
% 147.12/22.35 [8707] ALPHA_NOT_OR : ~(left_convergent_lines(L41_153_10, M42_153_10) | left_convergent_lines(L41_153_10, reverse_line(M42_153_10)))
% 147.12/22.35 -> [8709] ~left_convergent_lines(L41_153_10, M42_153_10), ~left_convergent_lines(L41_153_10, reverse_line(M42_153_10))
% 147.12/22.35
% 147.12/22.35 [8709] CLOSURE : ~left_convergent_lines(L41_153_10, M42_153_10)
% 147.12/22.35
% 147.12/22.35 [5924] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_30_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_30_6)))
% 147.12/22.35 -> [5970] unequally_directed_lines(skolem_M7878, N34_30_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_30_6))
% 147.12/22.35
% 147.12/22.35 [5970] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.35 -> [6201] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.12/22.35
% 147.12/22.35 [6201] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.12/22.35 -> [6206] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.35 -> [6207] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.35
% 147.12/22.35 [6207] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.35 -> [6217] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35 -> [6218] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.35
% 147.12/22.35 [6217] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [6218] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.35 -> [6379] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.35
% 147.12/22.35 [6379] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.35 -> [6380] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [6381] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [6380] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [6422] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [6423] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [6423] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [6422] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [6381] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [6388] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [6389] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [6388] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [7984] ~(left_apart_point(A39_427_9, L40_427_9) | left_apart_point(A39_427_9, reverse_line(L40_427_9)))
% 147.12/22.35
% 147.12/22.35 [7984] ALPHA_NOT_OR : ~(left_apart_point(A39_427_9, L40_427_9) | left_apart_point(A39_427_9, reverse_line(L40_427_9)))
% 147.12/22.35 -> [7985] ~left_apart_point(A39_427_9, L40_427_9), ~left_apart_point(A39_427_9, reverse_line(L40_427_9))
% 147.12/22.35
% 147.12/22.35 [7985] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.35 -> [8261] ~(left_convergent_lines(L41_112_10, M42_112_10) | left_convergent_lines(L41_112_10, reverse_line(M42_112_10)))
% 147.12/22.35
% 147.12/22.35 [8261] ALPHA_NOT_OR : ~(left_convergent_lines(L41_112_10, M42_112_10) | left_convergent_lines(L41_112_10, reverse_line(M42_112_10)))
% 147.12/22.35 -> [8263] ~left_convergent_lines(L41_112_10, M42_112_10), ~left_convergent_lines(L41_112_10, reverse_line(M42_112_10))
% 147.12/22.35
% 147.12/22.35 [8263] CLOSURE : ~left_convergent_lines(L41_112_10, M42_112_10)
% 147.12/22.35
% 147.12/22.35 [6389] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.35 -> [8065] ~(left_apart_point(A39_437_9, L40_437_9) | left_apart_point(A39_437_9, reverse_line(L40_437_9)))
% 147.12/22.35
% 147.12/22.35 [8065] ALPHA_NOT_OR : ~(left_apart_point(A39_437_9, L40_437_9) | left_apart_point(A39_437_9, reverse_line(L40_437_9)))
% 147.12/22.35 -> [8066] ~left_apart_point(A39_437_9, L40_437_9), ~left_apart_point(A39_437_9, reverse_line(L40_437_9))
% 147.12/22.35
% 147.12/22.35 [8066] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.35 -> [8619] ~(left_convergent_lines(L41_142_10, M42_142_10) | left_convergent_lines(L41_142_10, reverse_line(M42_142_10)))
% 147.12/22.35
% 147.12/22.35 [8619] ALPHA_NOT_OR : ~(left_convergent_lines(L41_142_10, M42_142_10) | left_convergent_lines(L41_142_10, reverse_line(M42_142_10)))
% 147.12/22.35 -> [8621] ~left_convergent_lines(L41_142_10, M42_142_10), ~left_convergent_lines(L41_142_10, reverse_line(M42_142_10))
% 147.12/22.35
% 147.12/22.35 [8621] CLOSURE : ~left_convergent_lines(L41_142_10, M42_142_10)
% 147.12/22.35
% 147.12/22.35 [6206] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.35 -> [6260] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35 -> [6261] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.35
% 147.12/22.35 [6260] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.35 -> [7143] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.35
% 147.12/22.35 [7143] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.35 -> [7147] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [7148] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35
% 147.12/22.35 [7147] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [7173] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [7174] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [7174] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.35
% 147.12/22.35 [7173] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35
% 147.12/22.35 [7148] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.35 -> [7151] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.35 -> [7152] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7151] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7328] ~(left_apart_point(A39_340_9, L40_340_9) | left_apart_point(A39_340_9, reverse_line(L40_340_9)))
% 147.12/22.36
% 147.12/22.36 [7328] ALPHA_NOT_OR : ~(left_apart_point(A39_340_9, L40_340_9) | left_apart_point(A39_340_9, reverse_line(L40_340_9)))
% 147.12/22.36 -> [7329] ~left_apart_point(A39_340_9, L40_340_9), ~left_apart_point(A39_340_9, reverse_line(L40_340_9))
% 147.12/22.36
% 147.12/22.36 [7329] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [7509] ~(left_convergent_lines(L41_93_10, M42_93_10) | left_convergent_lines(L41_93_10, reverse_line(M42_93_10)))
% 147.12/22.36
% 147.12/22.36 [7509] ALPHA_NOT_OR : ~(left_convergent_lines(L41_93_10, M42_93_10) | left_convergent_lines(L41_93_10, reverse_line(M42_93_10)))
% 147.12/22.36 -> [7511] ~left_convergent_lines(L41_93_10, M42_93_10), ~left_convergent_lines(L41_93_10, reverse_line(M42_93_10))
% 147.12/22.36
% 147.12/22.36 [7511] CLOSURE : ~left_convergent_lines(L41_93_10, M42_93_10)
% 147.12/22.36
% 147.12/22.36 [7152] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7334] ~(left_apart_point(A39_341_9, L40_341_9) | left_apart_point(A39_341_9, reverse_line(L40_341_9)))
% 147.12/22.36
% 147.12/22.36 [7334] ALPHA_NOT_OR : ~(left_apart_point(A39_341_9, L40_341_9) | left_apart_point(A39_341_9, reverse_line(L40_341_9)))
% 147.12/22.36 -> [7339] ~left_apart_point(A39_341_9, L40_341_9), ~left_apart_point(A39_341_9, reverse_line(L40_341_9))
% 147.12/22.36
% 147.12/22.36 [7339] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [7591] ~(left_convergent_lines(L41_96_10, M42_96_10) | left_convergent_lines(L41_96_10, reverse_line(M42_96_10)))
% 147.12/22.36
% 147.12/22.36 [7591] ALPHA_NOT_OR : ~(left_convergent_lines(L41_96_10, M42_96_10) | left_convergent_lines(L41_96_10, reverse_line(M42_96_10)))
% 147.12/22.36 -> [7592] ~left_convergent_lines(L41_96_10, M42_96_10), ~left_convergent_lines(L41_96_10, reverse_line(M42_96_10))
% 147.12/22.36
% 147.12/22.36 [7592] CLOSURE : ~left_convergent_lines(L41_96_10, M42_96_10)
% 147.12/22.36
% 147.12/22.36 [6261] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [7447] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [7447] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [7449] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7450] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [7449] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [8359] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [8360] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [8359] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [8360] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7450] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7735] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [7736] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7736] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [8546] ~(left_apart_point(A39_516_9, L40_516_9) | left_apart_point(A39_516_9, reverse_line(L40_516_9)))
% 147.12/22.36
% 147.12/22.36 [8546] ALPHA_NOT_OR : ~(left_apart_point(A39_516_9, L40_516_9) | left_apart_point(A39_516_9, reverse_line(L40_516_9)))
% 147.12/22.36 -> [8548] ~left_apart_point(A39_516_9, L40_516_9), ~left_apart_point(A39_516_9, reverse_line(L40_516_9))
% 147.12/22.36
% 147.12/22.36 [8548] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [8796] ~(left_convergent_lines(L41_160_10, M42_160_10) | left_convergent_lines(L41_160_10, reverse_line(M42_160_10)))
% 147.12/22.36
% 147.12/22.36 [8796] ALPHA_NOT_OR : ~(left_convergent_lines(L41_160_10, M42_160_10) | left_convergent_lines(L41_160_10, reverse_line(M42_160_10)))
% 147.12/22.36 -> [8797] ~left_convergent_lines(L41_160_10, M42_160_10), ~left_convergent_lines(L41_160_10, reverse_line(M42_160_10))
% 147.12/22.36
% 147.12/22.36 [8797] CLOSURE : ~left_convergent_lines(L41_160_10, M42_160_10)
% 147.12/22.36
% 147.12/22.36 [7735] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [8498] ~(left_apart_point(A39_506_9, L40_506_9) | left_apart_point(A39_506_9, reverse_line(L40_506_9)))
% 147.12/22.36
% 147.12/22.36 [8498] ALPHA_NOT_OR : ~(left_apart_point(A39_506_9, L40_506_9) | left_apart_point(A39_506_9, reverse_line(L40_506_9)))
% 147.12/22.36 -> [8500] ~left_apart_point(A39_506_9, L40_506_9), ~left_apart_point(A39_506_9, reverse_line(L40_506_9))
% 147.12/22.36
% 147.12/22.36 [8500] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [8864] ~(left_convergent_lines(L41_164_10, M42_164_10) | left_convergent_lines(L41_164_10, reverse_line(M42_164_10)))
% 147.12/22.36
% 147.12/22.36 [8864] ALPHA_NOT_OR : ~(left_convergent_lines(L41_164_10, M42_164_10) | left_convergent_lines(L41_164_10, reverse_line(M42_164_10)))
% 147.12/22.36 -> [8866] ~left_convergent_lines(L41_164_10, M42_164_10), ~left_convergent_lines(L41_164_10, reverse_line(M42_164_10))
% 147.12/22.36
% 147.12/22.36 [8866] CLOSURE : ~left_convergent_lines(L41_164_10, M42_164_10)
% 147.12/22.36
% 147.12/22.36 [308] BETA_NOT_AND : ~(((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.36 -> [366] ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.12/22.36 -> [367] ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.36
% 147.12/22.36 [366] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.12/22.36 -> [388] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [389] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [388] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.12/22.36 -> [404] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [405] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [404] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [446] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.36 -> [447] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [447] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [452] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [452] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [457] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.36 -> [458] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [457] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [495] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36 -> [496] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [495] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [496] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [458] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [463] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [463] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [756] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36 -> [757] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [757] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [756] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [446] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [497] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.36 -> [498] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [498] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [500] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [500] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [501] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36 -> [502] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [502] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [501] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [497] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.36 -> [527] ~distinct_points(A20_11_0, A20_11_0)
% 147.12/22.36
% 147.12/22.36 [527] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.36 -> [902] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.36
% 147.12/22.36 [902] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.36 -> [903] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36 -> [904] (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.36
% 147.12/22.36 [903] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [904] BETA_OR : (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.36 -> [2424] distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.36 -> [2425] distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.36
% 147.12/22.36 [2424] CLOSURE : distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.36
% 147.12/22.36 [2425] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.36 -> [2686] ~distinct_lines(N27_75_3, N27_75_3)
% 147.12/22.36
% 147.12/22.36 [2686] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.36 -> [2707] (distinct_lines(N27_75_3, N27_75_3) => (distinct_lines(N27_75_3, N27_75_3) | distinct_lines(N27_75_3, N27_75_3)))
% 147.12/22.36
% 147.12/22.36 [2707] BETA_IMPLY : (distinct_lines(N27_75_3, N27_75_3) => (distinct_lines(N27_75_3, N27_75_3) | distinct_lines(N27_75_3, N27_75_3)))
% 147.12/22.36 -> [2708] ~distinct_lines(N27_75_3, N27_75_3)
% 147.12/22.36 -> [2709] (distinct_lines(N27_75_3, N27_75_3) | distinct_lines(N27_75_3, N27_75_3))
% 147.12/22.36
% 147.12/22.36 [2709] BETA_OR : (distinct_lines(N27_75_3, N27_75_3) | distinct_lines(N27_75_3, N27_75_3))
% 147.12/22.36 -> [2717] distinct_lines(N27_75_3, N27_75_3)
% 147.12/22.36 -> [2718] distinct_lines(N27_75_3, N27_75_3)
% 147.12/22.36
% 147.12/22.36 [2717] CLOSURE : distinct_lines(N27_75_3, N27_75_3)
% 147.12/22.36
% 147.12/22.36 [2718] CLOSURE : distinct_lines(N27_75_3, N27_75_3)
% 147.12/22.36
% 147.12/22.36 [2708] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.36 -> [2750] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [2750] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.36 -> [2779] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.36
% 147.12/22.36 [2779] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.36 -> [2780] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36 -> [2781] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.36
% 147.12/22.36 [2780] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [2781] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.36 -> [3648] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36 -> [3649] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [3649] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [3648] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.36 -> [4218] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_39_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_39_6))) | (unequally_directed_lines(skolem_N7979, N34_39_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_39_6)))))
% 147.12/22.36
% 147.12/22.36 [4218] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_39_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_39_6))) | (unequally_directed_lines(skolem_N7979, N34_39_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_39_6)))))
% 147.12/22.36 -> [4221] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [4222] ((unequally_directed_lines(skolem_M7878, N34_39_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_39_6))) | (unequally_directed_lines(skolem_N7979, N34_39_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_39_6))))
% 147.12/22.36
% 147.12/22.36 [4221] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [4253] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [4254] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [4254] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [4253] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36
% 147.12/22.36 [4222] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_39_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_39_6))) | (unequally_directed_lines(skolem_N7979, N34_39_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_39_6))))
% 147.12/22.36 -> [6402] (unequally_directed_lines(skolem_M7878, N34_39_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_39_6)))
% 147.12/22.36 -> [6403] (unequally_directed_lines(skolem_N7979, N34_39_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_39_6)))
% 147.12/22.36
% 147.12/22.36 [6403] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_39_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_39_6)))
% 147.12/22.36 -> [6408] unequally_directed_lines(skolem_N7979, N34_39_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_39_6))
% 147.12/22.36
% 147.12/22.36 [6408] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.36 -> [6980] ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.12/22.36
% 147.12/22.36 [6980] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.12/22.36 -> [6982] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36 -> [6983] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.12/22.36
% 147.12/22.36 [6983] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.12/22.36 -> [6985] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36 -> [6986] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36
% 147.12/22.36 [6985] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [6986] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [7714] ((unequally_directed_lines(skolem_N7979, M38_222_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_222_8))) => (left_convergent_lines(skolem_N7979, M38_222_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_222_8))))
% 147.12/22.36
% 147.12/22.36 [7714] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_222_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_222_8))) => (left_convergent_lines(skolem_N7979, M38_222_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_222_8))))
% 147.12/22.36 -> [7716] ~(unequally_directed_lines(skolem_N7979, M38_222_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_222_8)))
% 147.12/22.36 -> [7717] (left_convergent_lines(skolem_N7979, M38_222_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_222_8)))
% 147.12/22.36
% 147.12/22.36 [7716] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_222_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_222_8)))
% 147.12/22.36 -> [7740] ~unequally_directed_lines(skolem_N7979, M38_222_8)
% 147.12/22.36 -> [7741] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_222_8))
% 147.12/22.36
% 147.12/22.36 [7741] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_222_8))
% 147.12/22.36
% 147.12/22.36 [7740] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_222_8)
% 147.12/22.36
% 147.12/22.36 [7717] BETA_OR : (left_convergent_lines(skolem_N7979, M38_222_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_222_8)))
% 147.12/22.36 -> [7723] left_convergent_lines(skolem_N7979, M38_222_8)
% 147.12/22.36 -> [7724] left_convergent_lines(skolem_N7979, reverse_line(M38_222_8))
% 147.12/22.36
% 147.12/22.36 [7724] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [8041] ~(left_apart_point(A39_433_9, L40_433_9) | left_apart_point(A39_433_9, reverse_line(L40_433_9)))
% 147.12/22.36
% 147.12/22.36 [8041] ALPHA_NOT_OR : ~(left_apart_point(A39_433_9, L40_433_9) | left_apart_point(A39_433_9, reverse_line(L40_433_9)))
% 147.12/22.36 -> [8042] ~left_apart_point(A39_433_9, L40_433_9), ~left_apart_point(A39_433_9, reverse_line(L40_433_9))
% 147.12/22.36
% 147.12/22.36 [8042] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [8331] ~(left_convergent_lines(L41_121_10, M42_121_10) | left_convergent_lines(L41_121_10, reverse_line(M42_121_10)))
% 147.12/22.36
% 147.12/22.36 [8331] ALPHA_NOT_OR : ~(left_convergent_lines(L41_121_10, M42_121_10) | left_convergent_lines(L41_121_10, reverse_line(M42_121_10)))
% 147.12/22.36 -> [8332] ~left_convergent_lines(L41_121_10, M42_121_10), ~left_convergent_lines(L41_121_10, reverse_line(M42_121_10))
% 147.12/22.36
% 147.12/22.36 [8332] CLOSURE : ~left_convergent_lines(L41_121_10, M42_121_10)
% 147.12/22.36
% 147.12/22.36 [7723] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7979] ~(left_apart_point(A39_425_9, L40_425_9) | left_apart_point(A39_425_9, reverse_line(L40_425_9)))
% 147.12/22.36
% 147.12/22.36 [7979] ALPHA_NOT_OR : ~(left_apart_point(A39_425_9, L40_425_9) | left_apart_point(A39_425_9, reverse_line(L40_425_9)))
% 147.12/22.36 -> [7981] ~left_apart_point(A39_425_9, L40_425_9), ~left_apart_point(A39_425_9, reverse_line(L40_425_9))
% 147.12/22.36
% 147.12/22.36 [7981] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [8340] ~(left_convergent_lines(L41_123_10, M42_123_10) | left_convergent_lines(L41_123_10, reverse_line(M42_123_10)))
% 147.12/22.36
% 147.12/22.36 [8340] ALPHA_NOT_OR : ~(left_convergent_lines(L41_123_10, M42_123_10) | left_convergent_lines(L41_123_10, reverse_line(M42_123_10)))
% 147.12/22.36 -> [8341] ~left_convergent_lines(L41_123_10, M42_123_10), ~left_convergent_lines(L41_123_10, reverse_line(M42_123_10))
% 147.12/22.36
% 147.12/22.36 [8341] CLOSURE : ~left_convergent_lines(L41_123_10, M42_123_10)
% 147.12/22.36
% 147.12/22.36 [6982] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36 -> [7004] ~line(skolem_L7777)
% 147.12/22.36 -> [7005] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [7004] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [7270] ((unequally_directed_lines(skolem_N7979, M38_195_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_195_8))) => (left_convergent_lines(skolem_N7979, M38_195_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_195_8))))
% 147.12/22.36
% 147.12/22.36 [7270] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_195_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_195_8))) => (left_convergent_lines(skolem_N7979, M38_195_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_195_8))))
% 147.12/22.36 -> [7271] ~(unequally_directed_lines(skolem_N7979, M38_195_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_195_8)))
% 147.12/22.36 -> [7272] (left_convergent_lines(skolem_N7979, M38_195_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_195_8)))
% 147.12/22.36
% 147.12/22.36 [7271] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_195_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_195_8)))
% 147.12/22.36 -> [7473] ~unequally_directed_lines(skolem_N7979, M38_195_8)
% 147.12/22.36 -> [7474] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_195_8))
% 147.12/22.36
% 147.12/22.36 [7474] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_195_8))
% 147.12/22.36
% 147.12/22.36 [7473] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_195_8)
% 147.12/22.36
% 147.12/22.36 [7272] BETA_OR : (left_convergent_lines(skolem_N7979, M38_195_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_195_8)))
% 147.12/22.36 -> [7275] left_convergent_lines(skolem_N7979, M38_195_8)
% 147.12/22.36 -> [7276] left_convergent_lines(skolem_N7979, reverse_line(M38_195_8))
% 147.12/22.36
% 147.12/22.36 [7276] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7498] ~(left_apart_point(A39_358_9, L40_358_9) | left_apart_point(A39_358_9, reverse_line(L40_358_9)))
% 147.12/22.36
% 147.12/22.36 [7498] ALPHA_NOT_OR : ~(left_apart_point(A39_358_9, L40_358_9) | left_apart_point(A39_358_9, reverse_line(L40_358_9)))
% 147.12/22.36 -> [7499] ~left_apart_point(A39_358_9, L40_358_9), ~left_apart_point(A39_358_9, reverse_line(L40_358_9))
% 147.12/22.36
% 147.12/22.36 [7499] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [7568] ~(left_convergent_lines(L41_95_10, M42_95_10) | left_convergent_lines(L41_95_10, reverse_line(M42_95_10)))
% 147.12/22.36
% 147.12/22.36 [7568] ALPHA_NOT_OR : ~(left_convergent_lines(L41_95_10, M42_95_10) | left_convergent_lines(L41_95_10, reverse_line(M42_95_10)))
% 147.12/22.36 -> [7573] ~left_convergent_lines(L41_95_10, M42_95_10), ~left_convergent_lines(L41_95_10, reverse_line(M42_95_10))
% 147.12/22.36
% 147.12/22.36 [7573] CLOSURE : ~left_convergent_lines(L41_95_10, M42_95_10)
% 147.12/22.36
% 147.12/22.36 [7275] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7507] ~(left_apart_point(A39_361_9, L40_361_9) | left_apart_point(A39_361_9, reverse_line(L40_361_9)))
% 147.12/22.36
% 147.12/22.36 [7507] ALPHA_NOT_OR : ~(left_apart_point(A39_361_9, L40_361_9) | left_apart_point(A39_361_9, reverse_line(L40_361_9)))
% 147.12/22.36 -> [7510] ~left_apart_point(A39_361_9, L40_361_9), ~left_apart_point(A39_361_9, reverse_line(L40_361_9))
% 147.12/22.36
% 147.12/22.36 [7510] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [7593] ~(left_convergent_lines(L41_97_10, M42_97_10) | left_convergent_lines(L41_97_10, reverse_line(M42_97_10)))
% 147.12/22.36
% 147.12/22.36 [7593] ALPHA_NOT_OR : ~(left_convergent_lines(L41_97_10, M42_97_10) | left_convergent_lines(L41_97_10, reverse_line(M42_97_10)))
% 147.12/22.36 -> [7594] ~left_convergent_lines(L41_97_10, M42_97_10), ~left_convergent_lines(L41_97_10, reverse_line(M42_97_10))
% 147.12/22.36
% 147.12/22.36 [7594] CLOSURE : ~left_convergent_lines(L41_97_10, M42_97_10)
% 147.12/22.36
% 147.12/22.36 [7005] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [7181] ((unequally_directed_lines(skolem_N7979, M38_191_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_191_8))) => (left_convergent_lines(skolem_N7979, M38_191_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_191_8))))
% 147.12/22.36
% 147.12/22.36 [7181] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_191_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_191_8))) => (left_convergent_lines(skolem_N7979, M38_191_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_191_8))))
% 147.12/22.36 -> [7182] ~(unequally_directed_lines(skolem_N7979, M38_191_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_191_8)))
% 147.12/22.36 -> [7183] (left_convergent_lines(skolem_N7979, M38_191_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_191_8)))
% 147.12/22.36
% 147.12/22.36 [7182] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_191_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_191_8)))
% 147.12/22.36 -> [7283] ~unequally_directed_lines(skolem_N7979, M38_191_8)
% 147.12/22.36 -> [7284] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_191_8))
% 147.12/22.36
% 147.12/22.36 [7284] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_191_8))
% 147.12/22.36
% 147.12/22.36 [7283] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_191_8)
% 147.12/22.36
% 147.12/22.36 [7183] BETA_OR : (left_convergent_lines(skolem_N7979, M38_191_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_191_8)))
% 147.12/22.36 -> [7188] left_convergent_lines(skolem_N7979, M38_191_8)
% 147.12/22.36 -> [7189] left_convergent_lines(skolem_N7979, reverse_line(M38_191_8))
% 147.12/22.36
% 147.12/22.36 [7188] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7556] ~(left_apart_point(A39_366_9, L40_366_9) | left_apart_point(A39_366_9, reverse_line(L40_366_9)))
% 147.12/22.36
% 147.12/22.36 [7556] ALPHA_NOT_OR : ~(left_apart_point(A39_366_9, L40_366_9) | left_apart_point(A39_366_9, reverse_line(L40_366_9)))
% 147.12/22.36 -> [7560] ~left_apart_point(A39_366_9, L40_366_9), ~left_apart_point(A39_366_9, reverse_line(L40_366_9))
% 147.12/22.36
% 147.12/22.36 [7560] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [7965] ~(left_convergent_lines(L41_104_10, M42_104_10) | left_convergent_lines(L41_104_10, reverse_line(M42_104_10)))
% 147.12/22.36
% 147.12/22.36 [7965] ALPHA_NOT_OR : ~(left_convergent_lines(L41_104_10, M42_104_10) | left_convergent_lines(L41_104_10, reverse_line(M42_104_10)))
% 147.12/22.36 -> [7969] ~left_convergent_lines(L41_104_10, M42_104_10), ~left_convergent_lines(L41_104_10, reverse_line(M42_104_10))
% 147.12/22.36
% 147.12/22.36 [7969] CLOSURE : ~left_convergent_lines(L41_104_10, M42_104_10)
% 147.12/22.36
% 147.12/22.36 [7189] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7542] ~(left_apart_point(A39_364_9, L40_364_9) | left_apart_point(A39_364_9, reverse_line(L40_364_9)))
% 147.12/22.36
% 147.12/22.36 [7542] ALPHA_NOT_OR : ~(left_apart_point(A39_364_9, L40_364_9) | left_apart_point(A39_364_9, reverse_line(L40_364_9)))
% 147.12/22.36 -> [7547] ~left_apart_point(A39_364_9, L40_364_9), ~left_apart_point(A39_364_9, reverse_line(L40_364_9))
% 147.12/22.36
% 147.12/22.36 [7547] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [7725] ~(left_convergent_lines(L41_100_10, M42_100_10) | left_convergent_lines(L41_100_10, reverse_line(M42_100_10)))
% 147.12/22.36
% 147.12/22.36 [7725] ALPHA_NOT_OR : ~(left_convergent_lines(L41_100_10, M42_100_10) | left_convergent_lines(L41_100_10, reverse_line(M42_100_10)))
% 147.12/22.36 -> [7726] ~left_convergent_lines(L41_100_10, M42_100_10), ~left_convergent_lines(L41_100_10, reverse_line(M42_100_10))
% 147.12/22.36
% 147.12/22.36 [7726] CLOSURE : ~left_convergent_lines(L41_100_10, M42_100_10)
% 147.12/22.36
% 147.12/22.36 [6402] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_39_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_39_6)))
% 147.12/22.36 -> [6415] unequally_directed_lines(skolem_M7878, N34_39_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_39_6))
% 147.12/22.36
% 147.12/22.36 [6415] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.36 -> [6987] ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.12/22.36
% 147.12/22.36 [6987] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.12/22.36 -> [6988] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36 -> [6989] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.12/22.36
% 147.12/22.36 [6989] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.12/22.36 -> [6993] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36 -> [6994] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36
% 147.12/22.36 [6993] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [6994] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [7929] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [7929] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [7932] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7933] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [7932] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7947] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [7948] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7948] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7947] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [7933] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7937] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [7938] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7938] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7976] ~(left_apart_point(A39_424_9, L40_424_9) | left_apart_point(A39_424_9, reverse_line(L40_424_9)))
% 147.12/22.36
% 147.12/22.36 [7976] ALPHA_NOT_OR : ~(left_apart_point(A39_424_9, L40_424_9) | left_apart_point(A39_424_9, reverse_line(L40_424_9)))
% 147.12/22.36 -> [7980] ~left_apart_point(A39_424_9, L40_424_9), ~left_apart_point(A39_424_9, reverse_line(L40_424_9))
% 147.12/22.36
% 147.12/22.36 [7980] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [8080] ~(left_convergent_lines(L41_107_10, M42_107_10) | left_convergent_lines(L41_107_10, reverse_line(M42_107_10)))
% 147.12/22.36
% 147.12/22.36 [8080] ALPHA_NOT_OR : ~(left_convergent_lines(L41_107_10, M42_107_10) | left_convergent_lines(L41_107_10, reverse_line(M42_107_10)))
% 147.12/22.36 -> [8081] ~left_convergent_lines(L41_107_10, M42_107_10), ~left_convergent_lines(L41_107_10, reverse_line(M42_107_10))
% 147.12/22.36
% 147.12/22.36 [8081] CLOSURE : ~left_convergent_lines(L41_107_10, M42_107_10)
% 147.12/22.36
% 147.12/22.36 [7937] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7986] ~(left_apart_point(A39_428_9, L40_428_9) | left_apart_point(A39_428_9, reverse_line(L40_428_9)))
% 147.12/22.36
% 147.12/22.36 [7986] ALPHA_NOT_OR : ~(left_apart_point(A39_428_9, L40_428_9) | left_apart_point(A39_428_9, reverse_line(L40_428_9)))
% 147.12/22.36 -> [7988] ~left_apart_point(A39_428_9, L40_428_9), ~left_apart_point(A39_428_9, reverse_line(L40_428_9))
% 147.12/22.36
% 147.12/22.36 [7988] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [8096] ~(left_convergent_lines(L41_108_10, M42_108_10) | left_convergent_lines(L41_108_10, reverse_line(M42_108_10)))
% 147.12/22.36
% 147.12/22.36 [8096] ALPHA_NOT_OR : ~(left_convergent_lines(L41_108_10, M42_108_10) | left_convergent_lines(L41_108_10, reverse_line(M42_108_10)))
% 147.12/22.36 -> [8097] ~left_convergent_lines(L41_108_10, M42_108_10), ~left_convergent_lines(L41_108_10, reverse_line(M42_108_10))
% 147.12/22.36
% 147.12/22.36 [8097] CLOSURE : ~left_convergent_lines(L41_108_10, M42_108_10)
% 147.12/22.36
% 147.12/22.36 [6988] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36 -> [7014] ~line(skolem_L7777)
% 147.12/22.36 -> [7015] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [7014] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [7331] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [7331] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [7332] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7333] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [7332] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7672] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [7673] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7673] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7672] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [7333] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7337] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [7338] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7337] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7588] ~(left_apart_point(A39_371_9, L40_371_9) | left_apart_point(A39_371_9, reverse_line(L40_371_9)))
% 147.12/22.36
% 147.12/22.36 [7588] ALPHA_NOT_OR : ~(left_apart_point(A39_371_9, L40_371_9) | left_apart_point(A39_371_9, reverse_line(L40_371_9)))
% 147.12/22.36 -> [7590] ~left_apart_point(A39_371_9, L40_371_9), ~left_apart_point(A39_371_9, reverse_line(L40_371_9))
% 147.12/22.36
% 147.12/22.36 [7590] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [7748] ~(left_convergent_lines(L41_102_10, M42_102_10) | left_convergent_lines(L41_102_10, reverse_line(M42_102_10)))
% 147.12/22.36
% 147.12/22.36 [7748] ALPHA_NOT_OR : ~(left_convergent_lines(L41_102_10, M42_102_10) | left_convergent_lines(L41_102_10, reverse_line(M42_102_10)))
% 147.12/22.36 -> [7961] ~left_convergent_lines(L41_102_10, M42_102_10), ~left_convergent_lines(L41_102_10, reverse_line(M42_102_10))
% 147.12/22.36
% 147.12/22.36 [7961] CLOSURE : ~left_convergent_lines(L41_102_10, M42_102_10)
% 147.12/22.36
% 147.12/22.36 [7338] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7868] ~(left_apart_point(A39_410_9, L40_410_9) | left_apart_point(A39_410_9, reverse_line(L40_410_9)))
% 147.12/22.36
% 147.12/22.36 [7868] ALPHA_NOT_OR : ~(left_apart_point(A39_410_9, L40_410_9) | left_apart_point(A39_410_9, reverse_line(L40_410_9)))
% 147.12/22.36 -> [7869] ~left_apart_point(A39_410_9, L40_410_9), ~left_apart_point(A39_410_9, reverse_line(L40_410_9))
% 147.12/22.36
% 147.12/22.36 [7869] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [8309] ~(left_convergent_lines(L41_114_10, M42_114_10) | left_convergent_lines(L41_114_10, reverse_line(M42_114_10)))
% 147.12/22.36
% 147.12/22.36 [8309] ALPHA_NOT_OR : ~(left_convergent_lines(L41_114_10, M42_114_10) | left_convergent_lines(L41_114_10, reverse_line(M42_114_10)))
% 147.12/22.36 -> [8312] ~left_convergent_lines(L41_114_10, M42_114_10), ~left_convergent_lines(L41_114_10, reverse_line(M42_114_10))
% 147.12/22.36
% 147.12/22.36 [8312] CLOSURE : ~left_convergent_lines(L41_114_10, M42_114_10)
% 147.12/22.36
% 147.12/22.36 [7015] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [7226] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [7226] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [7229] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7230] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [7229] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7488] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [7489] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7489] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7488] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [7230] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7236] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [7237] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7237] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [8593] ~(left_apart_point(A39_523_9, L40_523_9) | left_apart_point(A39_523_9, reverse_line(L40_523_9)))
% 147.12/22.36
% 147.12/22.36 [8593] ALPHA_NOT_OR : ~(left_apart_point(A39_523_9, L40_523_9) | left_apart_point(A39_523_9, reverse_line(L40_523_9)))
% 147.12/22.36 -> [8595] ~left_apart_point(A39_523_9, L40_523_9), ~left_apart_point(A39_523_9, reverse_line(L40_523_9))
% 147.12/22.36
% 147.12/22.36 [8595] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [8685] ~(left_convergent_lines(L41_149_10, M42_149_10) | left_convergent_lines(L41_149_10, reverse_line(M42_149_10)))
% 147.12/22.36
% 147.12/22.36 [8685] ALPHA_NOT_OR : ~(left_convergent_lines(L41_149_10, M42_149_10) | left_convergent_lines(L41_149_10, reverse_line(M42_149_10)))
% 147.12/22.36 -> [8686] ~left_convergent_lines(L41_149_10, M42_149_10), ~left_convergent_lines(L41_149_10, reverse_line(M42_149_10))
% 147.12/22.36
% 147.12/22.36 [8686] CLOSURE : ~left_convergent_lines(L41_149_10, M42_149_10)
% 147.12/22.36
% 147.12/22.36 [7236] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [8643] ~(left_apart_point(A39_528_9, L40_528_9) | left_apart_point(A39_528_9, reverse_line(L40_528_9)))
% 147.12/22.36
% 147.12/22.36 [8643] ALPHA_NOT_OR : ~(left_apart_point(A39_528_9, L40_528_9) | left_apart_point(A39_528_9, reverse_line(L40_528_9)))
% 147.12/22.36 -> [8645] ~left_apart_point(A39_528_9, L40_528_9), ~left_apart_point(A39_528_9, reverse_line(L40_528_9))
% 147.12/22.36
% 147.12/22.36 [8645] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.36 -> [8893] ~(left_convergent_lines(L41_167_10, M42_167_10) | left_convergent_lines(L41_167_10, reverse_line(M42_167_10)))
% 147.12/22.36
% 147.12/22.36 [8893] ALPHA_NOT_OR : ~(left_convergent_lines(L41_167_10, M42_167_10) | left_convergent_lines(L41_167_10, reverse_line(M42_167_10)))
% 147.12/22.36 -> [8894] ~left_convergent_lines(L41_167_10, M42_167_10), ~left_convergent_lines(L41_167_10, reverse_line(M42_167_10))
% 147.12/22.36
% 147.12/22.36 [8894] CLOSURE : ~left_convergent_lines(L41_167_10, M42_167_10)
% 147.12/22.36
% 147.12/22.36 [405] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.36 -> [416] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [416] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [417] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.36 -> [418] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [418] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [424] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [424] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.36 -> [505] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.12/22.36 -> [506] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [505] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [547] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36 -> [548] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [548] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [547] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [506] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [1008] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36 -> [1009] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [1009] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [1008] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [417] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.36 -> [510] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.12/22.36 -> [511] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [510] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.36 -> [550] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.36
% 147.12/22.36 [550] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.36 -> [570] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.12/22.36
% 147.12/22.36 [570] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.12/22.36 -> [575] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36 -> [576] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [575] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [576] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.12/22.36 -> [1757] distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.36 -> [1758] distinct_points(skolem_C8282, skolem_B8181)
% 147.12/22.36
% 147.12/22.36 [1757] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.36
% 147.12/22.36 [1758] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.36 -> [2514] ~distinct_lines(N27_69_3, N27_69_3)
% 147.12/22.36
% 147.12/22.36 [2514] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.36 -> [2542] (distinct_lines(N27_69_3, N27_69_3) => (distinct_lines(N27_69_3, N27_69_3) | distinct_lines(N27_69_3, N27_69_3)))
% 147.12/22.36
% 147.12/22.36 [2542] BETA_IMPLY : (distinct_lines(N27_69_3, N27_69_3) => (distinct_lines(N27_69_3, N27_69_3) | distinct_lines(N27_69_3, N27_69_3)))
% 147.12/22.36 -> [2544] ~distinct_lines(N27_69_3, N27_69_3)
% 147.12/22.36 -> [2545] (distinct_lines(N27_69_3, N27_69_3) | distinct_lines(N27_69_3, N27_69_3))
% 147.12/22.36
% 147.12/22.36 [2545] BETA_OR : (distinct_lines(N27_69_3, N27_69_3) | distinct_lines(N27_69_3, N27_69_3))
% 147.12/22.36 -> [2551] distinct_lines(N27_69_3, N27_69_3)
% 147.12/22.36 -> [2552] distinct_lines(N27_69_3, N27_69_3)
% 147.12/22.36
% 147.12/22.36 [2552] CLOSURE : distinct_lines(N27_69_3, N27_69_3)
% 147.12/22.36
% 147.12/22.36 [2551] CLOSURE : distinct_lines(N27_69_3, N27_69_3)
% 147.12/22.36
% 147.12/22.36 [2544] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.36 -> [2618] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [2618] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.36 -> [2694] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.36
% 147.12/22.36 [2694] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.36 -> [2695] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36 -> [2696] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.36
% 147.12/22.36 [2695] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [2696] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.36 -> [3791] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36 -> [3792] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [3792] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [3791] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.36 -> [4346] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_44_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_44_6))) | (unequally_directed_lines(skolem_N7979, N34_44_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_44_6)))))
% 147.12/22.36
% 147.12/22.36 [4346] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_44_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_44_6))) | (unequally_directed_lines(skolem_N7979, N34_44_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_44_6)))))
% 147.12/22.36 -> [4348] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [4349] ((unequally_directed_lines(skolem_M7878, N34_44_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_44_6))) | (unequally_directed_lines(skolem_N7979, N34_44_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_44_6))))
% 147.12/22.36
% 147.12/22.36 [4348] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [4366] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [4367] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [4367] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [4366] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36
% 147.12/22.36 [4349] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_44_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_44_6))) | (unequally_directed_lines(skolem_N7979, N34_44_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_44_6))))
% 147.12/22.36 -> [5525] (unequally_directed_lines(skolem_M7878, N34_44_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_44_6)))
% 147.12/22.36 -> [5526] (unequally_directed_lines(skolem_N7979, N34_44_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_44_6)))
% 147.12/22.36
% 147.12/22.36 [5526] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_44_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_44_6)))
% 147.12/22.36 -> [5529] unequally_directed_lines(skolem_N7979, N34_44_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_44_6))
% 147.12/22.36
% 147.12/22.36 [5529] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.36 -> [5952] ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.12/22.36
% 147.12/22.36 [5952] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.12/22.36 -> [5955] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36 -> [5956] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.12/22.36
% 147.12/22.36 [5955] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36 -> [6085] ~line(skolem_L7777)
% 147.12/22.36 -> [6086] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [6085] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [6539] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.36
% 147.12/22.36 [6539] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.36 -> [6543] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [6544] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36
% 147.12/22.36 [6543] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [6601] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [6602] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [6602] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [6601] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36
% 147.12/22.36 [6544] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [6546] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [6547] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [6546] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [6883] ~(left_apart_point(A39_293_9, L40_293_9) | left_apart_point(A39_293_9, reverse_line(L40_293_9)))
% 147.12/22.36
% 147.12/22.36 [6883] ALPHA_NOT_OR : ~(left_apart_point(A39_293_9, L40_293_9) | left_apart_point(A39_293_9, reverse_line(L40_293_9)))
% 147.12/22.36 -> [6886] ~left_apart_point(A39_293_9, L40_293_9), ~left_apart_point(A39_293_9, reverse_line(L40_293_9))
% 147.12/22.36
% 147.12/22.36 [6886] CLOSURE : ~left_apart_point(A39_293_9, L40_293_9)
% 147.12/22.36
% 147.12/22.36 [6547] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [6895] ~(left_apart_point(A39_294_9, L40_294_9) | left_apart_point(A39_294_9, reverse_line(L40_294_9)))
% 147.12/22.36
% 147.12/22.36 [6895] ALPHA_NOT_OR : ~(left_apart_point(A39_294_9, L40_294_9) | left_apart_point(A39_294_9, reverse_line(L40_294_9)))
% 147.12/22.36 -> [6899] ~left_apart_point(A39_294_9, L40_294_9), ~left_apart_point(A39_294_9, reverse_line(L40_294_9))
% 147.12/22.36
% 147.12/22.36 [6899] CLOSURE : ~left_apart_point(A39_294_9, L40_294_9)
% 147.12/22.36
% 147.12/22.36 [6086] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [6467] ((unequally_directed_lines(skolem_N7979, M38_149_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_149_8))) => (left_convergent_lines(skolem_N7979, M38_149_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_149_8))))
% 147.12/22.36
% 147.12/22.36 [6467] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_149_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_149_8))) => (left_convergent_lines(skolem_N7979, M38_149_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_149_8))))
% 147.12/22.36 -> [6470] ~(unequally_directed_lines(skolem_N7979, M38_149_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_149_8)))
% 147.12/22.36 -> [6471] (left_convergent_lines(skolem_N7979, M38_149_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_149_8)))
% 147.12/22.36
% 147.12/22.36 [6470] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_149_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_149_8)))
% 147.12/22.36 -> [6551] ~unequally_directed_lines(skolem_N7979, M38_149_8)
% 147.12/22.36 -> [6552] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_149_8))
% 147.12/22.36
% 147.12/22.36 [6551] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_149_8)
% 147.12/22.36
% 147.12/22.36 [6552] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_149_8))
% 147.12/22.36
% 147.12/22.36 [6471] BETA_OR : (left_convergent_lines(skolem_N7979, M38_149_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_149_8)))
% 147.12/22.36 -> [6475] left_convergent_lines(skolem_N7979, M38_149_8)
% 147.12/22.36 -> [6476] left_convergent_lines(skolem_N7979, reverse_line(M38_149_8))
% 147.12/22.36
% 147.12/22.36 [6475] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7101] ~(left_apart_point(A39_317_9, L40_317_9) | left_apart_point(A39_317_9, reverse_line(L40_317_9)))
% 147.12/22.36
% 147.12/22.36 [7101] ALPHA_NOT_OR : ~(left_apart_point(A39_317_9, L40_317_9) | left_apart_point(A39_317_9, reverse_line(L40_317_9)))
% 147.12/22.36 -> [7104] ~left_apart_point(A39_317_9, L40_317_9), ~left_apart_point(A39_317_9, reverse_line(L40_317_9))
% 147.12/22.36
% 147.12/22.36 [7104] CLOSURE : ~left_apart_point(A39_317_9, L40_317_9)
% 147.12/22.36
% 147.12/22.36 [6476] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [6737] ~(left_apart_point(A39_266_9, L40_266_9) | left_apart_point(A39_266_9, reverse_line(L40_266_9)))
% 147.12/22.36
% 147.12/22.36 [6737] ALPHA_NOT_OR : ~(left_apart_point(A39_266_9, L40_266_9) | left_apart_point(A39_266_9, reverse_line(L40_266_9)))
% 147.12/22.36 -> [6738] ~left_apart_point(A39_266_9, L40_266_9), ~left_apart_point(A39_266_9, reverse_line(L40_266_9))
% 147.12/22.36
% 147.12/22.36 [6738] CLOSURE : ~left_apart_point(A39_266_9, L40_266_9)
% 147.12/22.36
% 147.12/22.36 [5956] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.12/22.36 -> [5959] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36 -> [5960] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36
% 147.12/22.36 [5959] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [5960] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [7870] ((unequally_directed_lines(skolem_N7979, M38_232_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_232_8))) => (left_convergent_lines(skolem_N7979, M38_232_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_232_8))))
% 147.12/22.36
% 147.12/22.36 [7870] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_232_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_232_8))) => (left_convergent_lines(skolem_N7979, M38_232_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_232_8))))
% 147.12/22.36 -> [7871] ~(unequally_directed_lines(skolem_N7979, M38_232_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_232_8)))
% 147.12/22.36 -> [7872] (left_convergent_lines(skolem_N7979, M38_232_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_232_8)))
% 147.12/22.36
% 147.12/22.36 [7871] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_232_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_232_8)))
% 147.12/22.36 -> [7993] ~unequally_directed_lines(skolem_N7979, M38_232_8)
% 147.12/22.36 -> [7994] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_232_8))
% 147.12/22.36
% 147.12/22.36 [7994] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_232_8))
% 147.12/22.36
% 147.12/22.36 [7993] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_232_8)
% 147.12/22.36
% 147.12/22.36 [7872] BETA_OR : (left_convergent_lines(skolem_N7979, M38_232_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_232_8)))
% 147.12/22.36 -> [7881] left_convergent_lines(skolem_N7979, M38_232_8)
% 147.12/22.36 -> [7882] left_convergent_lines(skolem_N7979, reverse_line(M38_232_8))
% 147.12/22.36
% 147.12/22.36 [7882] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [8206] ~(left_apart_point(A39_458_9, L40_458_9) | left_apart_point(A39_458_9, reverse_line(L40_458_9)))
% 147.12/22.36
% 147.12/22.36 [8206] ALPHA_NOT_OR : ~(left_apart_point(A39_458_9, L40_458_9) | left_apart_point(A39_458_9, reverse_line(L40_458_9)))
% 147.12/22.36 -> [8208] ~left_apart_point(A39_458_9, L40_458_9), ~left_apart_point(A39_458_9, reverse_line(L40_458_9))
% 147.12/22.36
% 147.12/22.36 [8208] CLOSURE : ~left_apart_point(A39_458_9, L40_458_9)
% 147.12/22.36
% 147.12/22.36 [7881] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [8499] ~(left_apart_point(A39_507_9, L40_507_9) | left_apart_point(A39_507_9, reverse_line(L40_507_9)))
% 147.12/22.36
% 147.12/22.36 [8499] ALPHA_NOT_OR : ~(left_apart_point(A39_507_9, L40_507_9) | left_apart_point(A39_507_9, reverse_line(L40_507_9)))
% 147.12/22.36 -> [8501] ~left_apart_point(A39_507_9, L40_507_9), ~left_apart_point(A39_507_9, reverse_line(L40_507_9))
% 147.12/22.36
% 147.12/22.36 [8501] CLOSURE : ~left_apart_point(A39_507_9, L40_507_9)
% 147.12/22.36
% 147.12/22.36 [5525] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_44_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_44_6)))
% 147.12/22.36 -> [5584] unequally_directed_lines(skolem_M7878, N34_44_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_44_6))
% 147.12/22.36
% 147.12/22.36 [5584] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.36 -> [6072] ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.12/22.36
% 147.12/22.36 [6072] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.12/22.36 -> [6074] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.12/22.36 -> [6075] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.12/22.36
% 147.12/22.36 [6074] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.12/22.36 -> [6135] ~line(skolem_L7777)
% 147.12/22.36 -> [6136] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 147.12/22.36
% 147.12/22.36 [6135] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [6581] ((unequally_directed_lines(skolem_M7878, M38_153_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_153_8))) => (left_convergent_lines(skolem_M7878, M38_153_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_153_8))))
% 147.12/22.36
% 147.12/22.36 [6581] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_153_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_153_8))) => (left_convergent_lines(skolem_M7878, M38_153_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_153_8))))
% 147.12/22.36 -> [6584] ~(unequally_directed_lines(skolem_M7878, M38_153_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_153_8)))
% 147.12/22.36 -> [6585] (left_convergent_lines(skolem_M7878, M38_153_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_153_8)))
% 147.12/22.36
% 147.12/22.36 [6584] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_153_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_153_8)))
% 147.12/22.36 -> [6629] ~unequally_directed_lines(skolem_M7878, M38_153_8)
% 147.12/22.36 -> [6630] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_153_8))
% 147.12/22.36
% 147.12/22.36 [6630] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_153_8))
% 147.12/22.36
% 147.12/22.36 [6629] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_153_8)
% 147.12/22.36
% 147.12/22.36 [6585] BETA_OR : (left_convergent_lines(skolem_M7878, M38_153_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_153_8)))
% 147.12/22.36 -> [6589] left_convergent_lines(skolem_M7878, M38_153_8)
% 147.12/22.36 -> [6590] left_convergent_lines(skolem_M7878, reverse_line(M38_153_8))
% 147.12/22.36
% 147.12/22.36 [6590] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [6940] ~(left_apart_point(A39_299_9, L40_299_9) | left_apart_point(A39_299_9, reverse_line(L40_299_9)))
% 147.12/22.36
% 147.12/22.36 [6940] ALPHA_NOT_OR : ~(left_apart_point(A39_299_9, L40_299_9) | left_apart_point(A39_299_9, reverse_line(L40_299_9)))
% 147.12/22.36 -> [6941] ~left_apart_point(A39_299_9, L40_299_9), ~left_apart_point(A39_299_9, reverse_line(L40_299_9))
% 147.12/22.36
% 147.12/22.36 [6941] CLOSURE : ~left_apart_point(A39_299_9, L40_299_9)
% 147.12/22.36
% 147.12/22.36 [6589] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [6992] ~(left_apart_point(A39_310_9, L40_310_9) | left_apart_point(A39_310_9, reverse_line(L40_310_9)))
% 147.12/22.36
% 147.12/22.36 [6992] ALPHA_NOT_OR : ~(left_apart_point(A39_310_9, L40_310_9) | left_apart_point(A39_310_9, reverse_line(L40_310_9)))
% 147.12/22.36 -> [6995] ~left_apart_point(A39_310_9, L40_310_9), ~left_apart_point(A39_310_9, reverse_line(L40_310_9))
% 147.12/22.36
% 147.12/22.36 [6995] CLOSURE : ~left_apart_point(A39_310_9, L40_310_9)
% 147.12/22.36
% 147.12/22.36 [6136] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [6514] ((unequally_directed_lines(skolem_M7878, M38_151_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_151_8))) => (left_convergent_lines(skolem_M7878, M38_151_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_151_8))))
% 147.12/22.36
% 147.12/22.36 [6514] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_151_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_151_8))) => (left_convergent_lines(skolem_M7878, M38_151_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_151_8))))
% 147.12/22.36 -> [6517] ~(unequally_directed_lines(skolem_M7878, M38_151_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_151_8)))
% 147.12/22.36 -> [6518] (left_convergent_lines(skolem_M7878, M38_151_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_151_8)))
% 147.12/22.36
% 147.12/22.36 [6518] BETA_OR : (left_convergent_lines(skolem_M7878, M38_151_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_151_8)))
% 147.12/22.36 -> [6521] left_convergent_lines(skolem_M7878, M38_151_8)
% 147.12/22.36 -> [6522] left_convergent_lines(skolem_M7878, reverse_line(M38_151_8))
% 147.12/22.36
% 147.12/22.36 [6521] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [6826] ~(left_apart_point(A39_283_9, L40_283_9) | left_apart_point(A39_283_9, reverse_line(L40_283_9)))
% 147.12/22.36
% 147.12/22.36 [6826] ALPHA_NOT_OR : ~(left_apart_point(A39_283_9, L40_283_9) | left_apart_point(A39_283_9, reverse_line(L40_283_9)))
% 147.12/22.36 -> [6828] ~left_apart_point(A39_283_9, L40_283_9), ~left_apart_point(A39_283_9, reverse_line(L40_283_9))
% 147.12/22.36
% 147.12/22.36 [6828] CLOSURE : ~left_apart_point(A39_283_9, L40_283_9)
% 147.12/22.36
% 147.12/22.36 [6522] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [6830] ~(left_apart_point(A39_285_9, L40_285_9) | left_apart_point(A39_285_9, reverse_line(L40_285_9)))
% 147.12/22.36
% 147.12/22.36 [6830] ALPHA_NOT_OR : ~(left_apart_point(A39_285_9, L40_285_9) | left_apart_point(A39_285_9, reverse_line(L40_285_9)))
% 147.12/22.36 -> [6831] ~left_apart_point(A39_285_9, L40_285_9), ~left_apart_point(A39_285_9, reverse_line(L40_285_9))
% 147.12/22.36
% 147.12/22.36 [6831] CLOSURE : ~left_apart_point(A39_285_9, L40_285_9)
% 147.12/22.36
% 147.12/22.36 [6517] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_151_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_151_8)))
% 147.12/22.36 -> [6593] ~unequally_directed_lines(skolem_M7878, M38_151_8)
% 147.12/22.36 -> [6594] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_151_8))
% 147.12/22.36
% 147.12/22.36 [6594] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_151_8))
% 147.12/22.36
% 147.12/22.36 [6593] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_151_8)
% 147.12/22.36
% 147.12/22.36 [6075] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.12/22.36 -> [6081] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.12/22.36 -> [6082] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.12/22.36
% 147.12/22.36 [6081] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.12/22.36
% 147.12/22.36 [6082] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [8812] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [8812] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [8815] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [8816] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [8816] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [8822] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [8823] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [8823] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [9052] ~(left_apart_point(A39_571_9, L40_571_9) | left_apart_point(A39_571_9, reverse_line(L40_571_9)))
% 147.12/22.36
% 147.12/22.36 [9052] ALPHA_NOT_OR : ~(left_apart_point(A39_571_9, L40_571_9) | left_apart_point(A39_571_9, reverse_line(L40_571_9)))
% 147.12/22.36 -> [9056] ~left_apart_point(A39_571_9, L40_571_9), ~left_apart_point(A39_571_9, reverse_line(L40_571_9))
% 147.12/22.36
% 147.12/22.36 [9056] CLOSURE : ~left_apart_point(A39_571_9, L40_571_9)
% 147.12/22.36
% 147.12/22.36 [8822] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [9160] ~(left_apart_point(A39_577_9, L40_577_9) | left_apart_point(A39_577_9, reverse_line(L40_577_9)))
% 147.12/22.36
% 147.12/22.36 [9160] ALPHA_NOT_OR : ~(left_apart_point(A39_577_9, L40_577_9) | left_apart_point(A39_577_9, reverse_line(L40_577_9)))
% 147.12/22.36 -> [9161] ~left_apart_point(A39_577_9, L40_577_9), ~left_apart_point(A39_577_9, reverse_line(L40_577_9))
% 147.12/22.36
% 147.12/22.36 [9161] CLOSURE : ~left_apart_point(A39_577_9, L40_577_9)
% 147.12/22.36
% 147.12/22.36 [8815] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [8874] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [8875] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [8875] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [8874] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [511] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.36 -> [549] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.36
% 147.12/22.36 [549] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.36 -> [569] (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.36
% 147.12/22.36 [569] BETA_IMPLY : (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.36 -> [571] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.36 -> [572] (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.36
% 147.12/22.36 [572] BETA_OR : (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.36 -> [580] distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.36 -> [581] distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.36
% 147.12/22.36 [580] CLOSURE : distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.36
% 147.12/22.36 [581] CLOSURE : distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.36
% 147.12/22.36 [571] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.36 -> [1575] ~distinct_lines(N27_22_3, N27_22_3)
% 147.12/22.36
% 147.12/22.36 [1575] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.36 -> [1776] (distinct_lines(N27_22_3, N27_22_3) => (distinct_lines(N27_22_3, N27_22_3) | distinct_lines(N27_22_3, N27_22_3)))
% 147.12/22.36
% 147.12/22.36 [1776] BETA_IMPLY : (distinct_lines(N27_22_3, N27_22_3) => (distinct_lines(N27_22_3, N27_22_3) | distinct_lines(N27_22_3, N27_22_3)))
% 147.12/22.36 -> [1777] ~distinct_lines(N27_22_3, N27_22_3)
% 147.12/22.36 -> [1778] (distinct_lines(N27_22_3, N27_22_3) | distinct_lines(N27_22_3, N27_22_3))
% 147.12/22.36
% 147.12/22.36 [1778] BETA_OR : (distinct_lines(N27_22_3, N27_22_3) | distinct_lines(N27_22_3, N27_22_3))
% 147.12/22.36 -> [1779] distinct_lines(N27_22_3, N27_22_3)
% 147.12/22.36 -> [1780] distinct_lines(N27_22_3, N27_22_3)
% 147.12/22.36
% 147.12/22.36 [1779] CLOSURE : distinct_lines(N27_22_3, N27_22_3)
% 147.12/22.36
% 147.12/22.36 [1780] CLOSURE : distinct_lines(N27_22_3, N27_22_3)
% 147.12/22.36
% 147.12/22.36 [1777] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.36 -> [1831] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [1831] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.36 -> [1983] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [1983] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.12/22.36 -> [1986] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36 -> [1987] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [1986] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [1987] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.12/22.36 -> [3114] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36 -> [3115] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [3114] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [3115] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.36 -> [4583] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.36
% 147.12/22.36 [4583] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.36 -> [4584] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [4585] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [4584] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [4613] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [4614] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [4614] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [4613] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36
% 147.12/22.36 [4585] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [10581] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [10582] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [10581] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [10651] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [10651] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [10582] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [10585] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [10585] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.36 -> [10973] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [10973] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [10974] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.36 -> [10975] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [10974] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.36 -> [11026] ~line(skolem_M7878)
% 147.12/22.36 -> [11027] ~line(skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [11026] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [11110] ((unequally_directed_lines(skolem_N7979, M38_423_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_423_8))) => (left_convergent_lines(skolem_N7979, M38_423_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_423_8))))
% 147.12/22.36
% 147.12/22.36 [11110] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_423_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_423_8))) => (left_convergent_lines(skolem_N7979, M38_423_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_423_8))))
% 147.12/22.36 -> [11114] ~(unequally_directed_lines(skolem_N7979, M38_423_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_423_8)))
% 147.12/22.36 -> [11115] (left_convergent_lines(skolem_N7979, M38_423_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_423_8)))
% 147.12/22.36
% 147.12/22.36 [11115] BETA_OR : (left_convergent_lines(skolem_N7979, M38_423_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_423_8)))
% 147.12/22.36 -> [11121] left_convergent_lines(skolem_N7979, M38_423_8)
% 147.12/22.36 -> [11122] left_convergent_lines(skolem_N7979, reverse_line(M38_423_8))
% 147.12/22.36
% 147.12/22.36 [11122] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [11225] ~(left_apart_point(A39_842_9, L40_842_9) | left_apart_point(A39_842_9, reverse_line(L40_842_9)))
% 147.12/22.36
% 147.12/22.36 [11225] ALPHA_NOT_OR : ~(left_apart_point(A39_842_9, L40_842_9) | left_apart_point(A39_842_9, reverse_line(L40_842_9)))
% 147.12/22.36 -> [11232] ~left_apart_point(A39_842_9, L40_842_9), ~left_apart_point(A39_842_9, reverse_line(L40_842_9))
% 147.12/22.36
% 147.12/22.36 [11232] CLOSURE : ~left_apart_point(A39_842_9, L40_842_9)
% 147.12/22.36
% 147.12/22.36 [11121] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [11254] ~(left_apart_point(A39_843_9, L40_843_9) | left_apart_point(A39_843_9, reverse_line(L40_843_9)))
% 147.12/22.36
% 147.12/22.36 [11254] ALPHA_NOT_OR : ~(left_apart_point(A39_843_9, L40_843_9) | left_apart_point(A39_843_9, reverse_line(L40_843_9)))
% 147.12/22.36 -> [11256] ~left_apart_point(A39_843_9, L40_843_9), ~left_apart_point(A39_843_9, reverse_line(L40_843_9))
% 147.12/22.36
% 147.12/22.36 [11256] CLOSURE : ~left_apart_point(A39_843_9, L40_843_9)
% 147.12/22.36
% 147.12/22.36 [11114] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_423_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_423_8)))
% 147.12/22.36 -> [11142] ~unequally_directed_lines(skolem_N7979, M38_423_8)
% 147.12/22.36 -> [11143] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_423_8))
% 147.12/22.36
% 147.12/22.36 [11143] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_423_8))
% 147.12/22.36
% 147.12/22.36 [11142] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_423_8)
% 147.12/22.36
% 147.12/22.36 [11027] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [11384] ((unequally_directed_lines(skolem_N7979, M38_446_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_446_8))) => (left_convergent_lines(skolem_N7979, M38_446_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_446_8))))
% 147.12/22.36
% 147.12/22.36 [11384] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_446_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_446_8))) => (left_convergent_lines(skolem_N7979, M38_446_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_446_8))))
% 147.12/22.36 -> [11386] ~(unequally_directed_lines(skolem_N7979, M38_446_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_446_8)))
% 147.12/22.36 -> [11387] (left_convergent_lines(skolem_N7979, M38_446_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_446_8)))
% 147.12/22.36
% 147.12/22.36 [11387] BETA_OR : (left_convergent_lines(skolem_N7979, M38_446_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_446_8)))
% 147.12/22.36 -> [11418] left_convergent_lines(skolem_N7979, M38_446_8)
% 147.12/22.36 -> [11419] left_convergent_lines(skolem_N7979, reverse_line(M38_446_8))
% 147.12/22.36
% 147.12/22.36 [11419] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [11545] ~(left_apart_point(A39_885_9, L40_885_9) | left_apart_point(A39_885_9, reverse_line(L40_885_9)))
% 147.12/22.36
% 147.12/22.36 [11545] ALPHA_NOT_OR : ~(left_apart_point(A39_885_9, L40_885_9) | left_apart_point(A39_885_9, reverse_line(L40_885_9)))
% 147.12/22.36 -> [11548] ~left_apart_point(A39_885_9, L40_885_9), ~left_apart_point(A39_885_9, reverse_line(L40_885_9))
% 147.12/22.36
% 147.12/22.36 [11548] CLOSURE : ~left_apart_point(A39_885_9, L40_885_9)
% 147.12/22.36
% 147.12/22.36 [11418] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [11677] ~(left_apart_point(A39_893_9, L40_893_9) | left_apart_point(A39_893_9, reverse_line(L40_893_9)))
% 147.12/22.36
% 147.12/22.36 [11677] ALPHA_NOT_OR : ~(left_apart_point(A39_893_9, L40_893_9) | left_apart_point(A39_893_9, reverse_line(L40_893_9)))
% 147.12/22.36 -> [11678] ~left_apart_point(A39_893_9, L40_893_9), ~left_apart_point(A39_893_9, reverse_line(L40_893_9))
% 147.12/22.36
% 147.12/22.36 [11678] CLOSURE : ~left_apart_point(A39_893_9, L40_893_9)
% 147.12/22.36
% 147.12/22.36 [11386] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_446_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_446_8)))
% 147.12/22.36 -> [11593] ~unequally_directed_lines(skolem_N7979, M38_446_8)
% 147.12/22.36 -> [11594] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_446_8))
% 147.12/22.36
% 147.12/22.36 [11594] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_446_8))
% 147.12/22.36
% 147.12/22.36 [11593] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_446_8)
% 147.12/22.36
% 147.12/22.36 [10975] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [10979] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36 -> [10980] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [10979] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [10980] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [11611] ((unequally_directed_lines(skolem_N7979, M38_459_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_459_8))) => (left_convergent_lines(skolem_N7979, M38_459_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_459_8))))
% 147.12/22.36
% 147.12/22.36 [11611] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_459_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_459_8))) => (left_convergent_lines(skolem_N7979, M38_459_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_459_8))))
% 147.12/22.36 -> [11612] ~(unequally_directed_lines(skolem_N7979, M38_459_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_459_8)))
% 147.12/22.36 -> [11613] (left_convergent_lines(skolem_N7979, M38_459_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_459_8)))
% 147.12/22.36
% 147.12/22.36 [11612] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_459_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_459_8)))
% 147.12/22.36 -> [11679] ~unequally_directed_lines(skolem_N7979, M38_459_8)
% 147.12/22.36 -> [11680] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_459_8))
% 147.12/22.36
% 147.12/22.36 [11679] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_459_8)
% 147.12/22.36
% 147.12/22.36 [11680] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_459_8))
% 147.12/22.36
% 147.12/22.36 [11613] BETA_OR : (left_convergent_lines(skolem_N7979, M38_459_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_459_8)))
% 147.12/22.36 -> [11684] left_convergent_lines(skolem_N7979, M38_459_8)
% 147.12/22.36 -> [11685] left_convergent_lines(skolem_N7979, reverse_line(M38_459_8))
% 147.12/22.36
% 147.12/22.36 [11685] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [11915] ~(left_apart_point(A39_920_9, L40_920_9) | left_apart_point(A39_920_9, reverse_line(L40_920_9)))
% 147.12/22.36
% 147.12/22.36 [11915] ALPHA_NOT_OR : ~(left_apart_point(A39_920_9, L40_920_9) | left_apart_point(A39_920_9, reverse_line(L40_920_9)))
% 147.12/22.36 -> [11919] ~left_apart_point(A39_920_9, L40_920_9), ~left_apart_point(A39_920_9, reverse_line(L40_920_9))
% 147.12/22.36
% 147.12/22.36 [11919] CLOSURE : ~left_apart_point(A39_920_9, L40_920_9)
% 147.12/22.36
% 147.12/22.36 [11684] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [11957] ~(left_apart_point(A39_929_9, L40_929_9) | left_apart_point(A39_929_9, reverse_line(L40_929_9)))
% 147.12/22.36
% 147.12/22.36 [11957] ALPHA_NOT_OR : ~(left_apart_point(A39_929_9, L40_929_9) | left_apart_point(A39_929_9, reverse_line(L40_929_9)))
% 147.12/22.36 -> [11959] ~left_apart_point(A39_929_9, L40_929_9), ~left_apart_point(A39_929_9, reverse_line(L40_929_9))
% 147.12/22.36
% 147.12/22.36 [11959] CLOSURE : ~left_apart_point(A39_929_9, L40_929_9)
% 147.12/22.36
% 147.12/22.36 [389] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.36 -> [397] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [397] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.12/22.36 -> [398] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [399] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [398] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.36 -> [442] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.12/22.36 -> [443] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [443] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [790] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.36 -> [791] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [791] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [798] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [798] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [803] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36 -> [804] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [803] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [804] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [790] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.36 -> [1235] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.36
% 147.12/22.36 [1235] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.36 -> [1244] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.12/22.36
% 147.12/22.36 [1244] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.12/22.36 -> [1245] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36 -> [1246] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [1245] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [1246] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.12/22.36 -> [1296] distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.36 -> [1297] distinct_points(skolem_C8282, skolem_B8181)
% 147.12/22.36
% 147.12/22.36 [1296] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.36
% 147.12/22.36 [1297] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.36 -> [1427] ~distinct_lines(N27_5_3, N27_5_3)
% 147.12/22.36
% 147.12/22.36 [1427] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.36 -> [1498] (distinct_lines(N27_5_3, N27_5_3) => (distinct_lines(N27_5_3, N27_5_3) | distinct_lines(N27_5_3, N27_5_3)))
% 147.12/22.36
% 147.12/22.36 [1498] BETA_IMPLY : (distinct_lines(N27_5_3, N27_5_3) => (distinct_lines(N27_5_3, N27_5_3) | distinct_lines(N27_5_3, N27_5_3)))
% 147.12/22.36 -> [1499] ~distinct_lines(N27_5_3, N27_5_3)
% 147.12/22.36 -> [1500] (distinct_lines(N27_5_3, N27_5_3) | distinct_lines(N27_5_3, N27_5_3))
% 147.12/22.36
% 147.12/22.36 [1500] BETA_OR : (distinct_lines(N27_5_3, N27_5_3) | distinct_lines(N27_5_3, N27_5_3))
% 147.12/22.36 -> [1543] distinct_lines(N27_5_3, N27_5_3)
% 147.12/22.36 -> [1544] distinct_lines(N27_5_3, N27_5_3)
% 147.12/22.36
% 147.12/22.36 [1543] CLOSURE : distinct_lines(N27_5_3, N27_5_3)
% 147.12/22.36
% 147.12/22.36 [1544] CLOSURE : distinct_lines(N27_5_3, N27_5_3)
% 147.12/22.36
% 147.12/22.36 [1499] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.36 -> [1553] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [1553] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.36 -> [1600] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.36
% 147.12/22.36 [1600] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.36 -> [1601] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36 -> [1602] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.36
% 147.12/22.36 [1601] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [1602] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.36 -> [3513] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36 -> [3514] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [3514] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [3513] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.36 -> [4050] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_34_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_34_6))) | (unequally_directed_lines(skolem_N7979, N34_34_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_34_6)))))
% 147.12/22.36
% 147.12/22.36 [4050] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_34_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_34_6))) | (unequally_directed_lines(skolem_N7979, N34_34_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_34_6)))))
% 147.12/22.36 -> [4053] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [4054] ((unequally_directed_lines(skolem_M7878, N34_34_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_34_6))) | (unequally_directed_lines(skolem_N7979, N34_34_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_34_6))))
% 147.12/22.36
% 147.12/22.36 [4053] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [4073] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [4074] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [4074] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [4073] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36
% 147.12/22.36 [4054] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_34_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_34_6))) | (unequally_directed_lines(skolem_N7979, N34_34_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_34_6))))
% 147.12/22.36 -> [6150] (unequally_directed_lines(skolem_M7878, N34_34_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_34_6)))
% 147.12/22.36 -> [6151] (unequally_directed_lines(skolem_N7979, N34_34_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_34_6)))
% 147.12/22.36
% 147.12/22.36 [6151] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_34_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_34_6)))
% 147.12/22.36 -> [6154] unequally_directed_lines(skolem_N7979, N34_34_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_34_6))
% 147.12/22.36
% 147.12/22.36 [6154] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.36 -> [6319] ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.12/22.36
% 147.12/22.36 [6319] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.12/22.36 -> [6323] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.12/22.36 -> [6324] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.12/22.36
% 147.12/22.36 [6323] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.12/22.36 -> [6370] ~line(reverse_line(skolem_N7979))
% 147.12/22.36 -> [6371] ~line(reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [6370] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [6656] ((unequally_directed_lines(skolem_N7979, M38_162_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_162_8))) => (left_convergent_lines(skolem_N7979, M38_162_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_162_8))))
% 147.12/22.36
% 147.12/22.36 [6656] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_162_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_162_8))) => (left_convergent_lines(skolem_N7979, M38_162_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_162_8))))
% 147.12/22.36 -> [6657] ~(unequally_directed_lines(skolem_N7979, M38_162_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_162_8)))
% 147.12/22.36 -> [6658] (left_convergent_lines(skolem_N7979, M38_162_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_162_8)))
% 147.12/22.36
% 147.12/22.36 [6658] BETA_OR : (left_convergent_lines(skolem_N7979, M38_162_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_162_8)))
% 147.12/22.36 -> [6669] left_convergent_lines(skolem_N7979, M38_162_8)
% 147.12/22.36 -> [6670] left_convergent_lines(skolem_N7979, reverse_line(M38_162_8))
% 147.12/22.36
% 147.12/22.36 [6669] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [6795] ~(left_apart_point(A39_273_9, L40_273_9) | left_apart_point(A39_273_9, reverse_line(L40_273_9)))
% 147.12/22.36
% 147.12/22.36 [6795] ALPHA_NOT_OR : ~(left_apart_point(A39_273_9, L40_273_9) | left_apart_point(A39_273_9, reverse_line(L40_273_9)))
% 147.12/22.36 -> [6796] ~left_apart_point(A39_273_9, L40_273_9), ~left_apart_point(A39_273_9, reverse_line(L40_273_9))
% 147.12/22.36
% 147.12/22.36 [6796] CLOSURE : ~left_apart_point(A39_273_9, L40_273_9)
% 147.12/22.36
% 147.12/22.36 [6670] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [6784] ~(left_apart_point(A39_269_9, L40_269_9) | left_apart_point(A39_269_9, reverse_line(L40_269_9)))
% 147.12/22.36
% 147.12/22.36 [6784] ALPHA_NOT_OR : ~(left_apart_point(A39_269_9, L40_269_9) | left_apart_point(A39_269_9, reverse_line(L40_269_9)))
% 147.12/22.36 -> [6785] ~left_apart_point(A39_269_9, L40_269_9), ~left_apart_point(A39_269_9, reverse_line(L40_269_9))
% 147.12/22.36
% 147.12/22.36 [6785] CLOSURE : ~left_apart_point(A39_269_9, L40_269_9)
% 147.12/22.36
% 147.12/22.36 [6657] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_162_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_162_8)))
% 147.12/22.36 -> [6742] ~unequally_directed_lines(skolem_N7979, M38_162_8)
% 147.12/22.36 -> [6743] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_162_8))
% 147.12/22.36
% 147.12/22.36 [6743] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_162_8))
% 147.12/22.36
% 147.12/22.36 [6742] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_162_8)
% 147.12/22.36
% 147.12/22.36 [6371] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [6424] ((unequally_directed_lines(skolem_N7979, M38_148_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_148_8))) => (left_convergent_lines(skolem_N7979, M38_148_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_148_8))))
% 147.12/22.36
% 147.12/22.36 [6424] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_148_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_148_8))) => (left_convergent_lines(skolem_N7979, M38_148_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_148_8))))
% 147.12/22.36 -> [6427] ~(unequally_directed_lines(skolem_N7979, M38_148_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_148_8)))
% 147.12/22.36 -> [6428] (left_convergent_lines(skolem_N7979, M38_148_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_148_8)))
% 147.12/22.36
% 147.12/22.36 [6427] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_148_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_148_8)))
% 147.12/22.36 -> [6439] ~unequally_directed_lines(skolem_N7979, M38_148_8)
% 147.12/22.36 -> [6440] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_148_8))
% 147.12/22.36
% 147.12/22.36 [6440] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_148_8))
% 147.12/22.36
% 147.12/22.36 [6439] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_148_8)
% 147.12/22.36
% 147.12/22.36 [6428] BETA_OR : (left_convergent_lines(skolem_N7979, M38_148_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_148_8)))
% 147.12/22.36 -> [6429] left_convergent_lines(skolem_N7979, M38_148_8)
% 147.12/22.36 -> [6430] left_convergent_lines(skolem_N7979, reverse_line(M38_148_8))
% 147.12/22.36
% 147.12/22.36 [6429] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [6478] ~(left_apart_point(A39_252_9, L40_252_9) | left_apart_point(A39_252_9, reverse_line(L40_252_9)))
% 147.12/22.36
% 147.12/22.36 [6478] ALPHA_NOT_OR : ~(left_apart_point(A39_252_9, L40_252_9) | left_apart_point(A39_252_9, reverse_line(L40_252_9)))
% 147.12/22.36 -> [6479] ~left_apart_point(A39_252_9, L40_252_9), ~left_apart_point(A39_252_9, reverse_line(L40_252_9))
% 147.12/22.36
% 147.12/22.36 [6479] CLOSURE : ~left_apart_point(A39_252_9, L40_252_9)
% 147.12/22.36
% 147.12/22.36 [6430] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [8410] ~(left_apart_point(A39_489_9, L40_489_9) | left_apart_point(A39_489_9, reverse_line(L40_489_9)))
% 147.12/22.36
% 147.12/22.36 [8410] ALPHA_NOT_OR : ~(left_apart_point(A39_489_9, L40_489_9) | left_apart_point(A39_489_9, reverse_line(L40_489_9)))
% 147.12/22.36 -> [8411] ~left_apart_point(A39_489_9, L40_489_9), ~left_apart_point(A39_489_9, reverse_line(L40_489_9))
% 147.12/22.36
% 147.12/22.36 [8411] CLOSURE : ~left_apart_point(A39_489_9, L40_489_9)
% 147.12/22.36
% 147.12/22.36 [6324] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.12/22.36 -> [6331] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36 -> [6332] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 147.12/22.36
% 147.12/22.36 [6331] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [6332] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [9311] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.36
% 147.12/22.36 [9311] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.36 -> [9312] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [9313] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36
% 147.12/22.36 [9312] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [9340] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [9341] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [9340] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36
% 147.12/22.36 [9341] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [9313] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [9314] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [9315] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [9315] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [9968] ~(left_apart_point(A39_679_9, L40_679_9) | left_apart_point(A39_679_9, reverse_line(L40_679_9)))
% 147.12/22.36
% 147.12/22.36 [9968] ALPHA_NOT_OR : ~(left_apart_point(A39_679_9, L40_679_9) | left_apart_point(A39_679_9, reverse_line(L40_679_9)))
% 147.12/22.36 -> [9971] ~left_apart_point(A39_679_9, L40_679_9), ~left_apart_point(A39_679_9, reverse_line(L40_679_9))
% 147.12/22.36
% 147.12/22.36 [9971] CLOSURE : ~left_apart_point(A39_679_9, L40_679_9)
% 147.12/22.36
% 147.12/22.36 [9314] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10492] ~(left_apart_point(A39_750_9, L40_750_9) | left_apart_point(A39_750_9, reverse_line(L40_750_9)))
% 147.12/22.36
% 147.12/22.36 [10492] ALPHA_NOT_OR : ~(left_apart_point(A39_750_9, L40_750_9) | left_apart_point(A39_750_9, reverse_line(L40_750_9)))
% 147.12/22.36 -> [10493] ~left_apart_point(A39_750_9, L40_750_9), ~left_apart_point(A39_750_9, reverse_line(L40_750_9))
% 147.12/22.36
% 147.12/22.36 [10493] CLOSURE : ~left_apart_point(A39_750_9, L40_750_9)
% 147.12/22.36
% 147.12/22.36 [6150] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_34_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_34_6)))
% 147.12/22.36 -> [6188] unequally_directed_lines(skolem_M7878, N34_34_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_34_6))
% 147.12/22.36
% 147.12/22.36 [6188] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.36 -> [6350] ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.12/22.36
% 147.12/22.36 [6350] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.12/22.36 -> [6356] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.12/22.36 -> [6357] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.12/22.36
% 147.12/22.36 [6356] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.12/22.36 -> [6382] ~line(skolem_L7777)
% 147.12/22.36 -> [6383] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 147.12/22.36
% 147.12/22.36 [6382] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [7070] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [7070] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [7076] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7077] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [7077] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7078] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [7079] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7079] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7130] ~(left_apart_point(A39_324_9, L40_324_9) | left_apart_point(A39_324_9, reverse_line(L40_324_9)))
% 147.12/22.36
% 147.12/22.36 [7130] ALPHA_NOT_OR : ~(left_apart_point(A39_324_9, L40_324_9) | left_apart_point(A39_324_9, reverse_line(L40_324_9)))
% 147.12/22.36 -> [7132] ~left_apart_point(A39_324_9, L40_324_9), ~left_apart_point(A39_324_9, reverse_line(L40_324_9))
% 147.12/22.36
% 147.12/22.36 [7132] CLOSURE : ~left_apart_point(A39_324_9, L40_324_9)
% 147.12/22.36
% 147.12/22.36 [7078] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7155] ~(left_apart_point(A39_326_9, L40_326_9) | left_apart_point(A39_326_9, reverse_line(L40_326_9)))
% 147.12/22.36
% 147.12/22.36 [7155] ALPHA_NOT_OR : ~(left_apart_point(A39_326_9, L40_326_9) | left_apart_point(A39_326_9, reverse_line(L40_326_9)))
% 147.12/22.36 -> [7158] ~left_apart_point(A39_326_9, L40_326_9), ~left_apart_point(A39_326_9, reverse_line(L40_326_9))
% 147.12/22.36
% 147.12/22.36 [7158] CLOSURE : ~left_apart_point(A39_326_9, L40_326_9)
% 147.12/22.36
% 147.12/22.36 [7076] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7093] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [7094] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7094] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7093] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [6383] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [8053] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [8053] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [8058] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [8059] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [8059] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [8063] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [8064] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [8064] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [8250] ~(left_apart_point(A39_469_9, L40_469_9) | left_apart_point(A39_469_9, reverse_line(L40_469_9)))
% 147.12/22.36
% 147.12/22.36 [8250] ALPHA_NOT_OR : ~(left_apart_point(A39_469_9, L40_469_9) | left_apart_point(A39_469_9, reverse_line(L40_469_9)))
% 147.12/22.36 -> [8253] ~left_apart_point(A39_469_9, L40_469_9), ~left_apart_point(A39_469_9, reverse_line(L40_469_9))
% 147.12/22.36
% 147.12/22.36 [8253] CLOSURE : ~left_apart_point(A39_469_9, L40_469_9)
% 147.12/22.36
% 147.12/22.36 [8063] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [8467] ~(left_apart_point(A39_497_9, L40_497_9) | left_apart_point(A39_497_9, reverse_line(L40_497_9)))
% 147.12/22.36
% 147.12/22.36 [8467] ALPHA_NOT_OR : ~(left_apart_point(A39_497_9, L40_497_9) | left_apart_point(A39_497_9, reverse_line(L40_497_9)))
% 147.12/22.36 -> [8470] ~left_apart_point(A39_497_9, L40_497_9), ~left_apart_point(A39_497_9, reverse_line(L40_497_9))
% 147.12/22.36
% 147.12/22.36 [8470] CLOSURE : ~left_apart_point(A39_497_9, L40_497_9)
% 147.12/22.36
% 147.12/22.36 [8058] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [8098] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [8099] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [8098] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [8099] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [6357] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.12/22.36 -> [6362] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.12/22.36 -> [6363] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.12/22.36
% 147.12/22.36 [6362] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.12/22.36
% 147.12/22.36 [6363] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [10299] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [10299] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [10303] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [10304] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [10304] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [10307] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [10308] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [10307] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10370] ~(left_apart_point(A39_728_9, L40_728_9) | left_apart_point(A39_728_9, reverse_line(L40_728_9)))
% 147.12/22.36
% 147.12/22.36 [10370] ALPHA_NOT_OR : ~(left_apart_point(A39_728_9, L40_728_9) | left_apart_point(A39_728_9, reverse_line(L40_728_9)))
% 147.12/22.36 -> [10372] ~left_apart_point(A39_728_9, L40_728_9), ~left_apart_point(A39_728_9, reverse_line(L40_728_9))
% 147.12/22.36
% 147.12/22.36 [10372] CLOSURE : ~left_apart_point(A39_728_9, L40_728_9)
% 147.12/22.36
% 147.12/22.36 [10308] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10380] ~(left_apart_point(A39_730_9, L40_730_9) | left_apart_point(A39_730_9, reverse_line(L40_730_9)))
% 147.12/22.36
% 147.12/22.36 [10380] ALPHA_NOT_OR : ~(left_apart_point(A39_730_9, L40_730_9) | left_apart_point(A39_730_9, reverse_line(L40_730_9)))
% 147.12/22.36 -> [10381] ~left_apart_point(A39_730_9, L40_730_9), ~left_apart_point(A39_730_9, reverse_line(L40_730_9))
% 147.12/22.36
% 147.12/22.36 [10381] CLOSURE : ~left_apart_point(A39_730_9, L40_730_9)
% 147.12/22.36
% 147.12/22.36 [10303] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [10324] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [10325] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [10325] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [10324] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [442] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [894] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.36 -> [895] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [895] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [896] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [896] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [900] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36 -> [901] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [900] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [901] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [894] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.36 -> [991] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [991] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.36 -> [1025] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.12/22.36
% 147.12/22.36 [1025] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.12/22.36 -> [1111] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36 -> [1112] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.12/22.36
% 147.12/22.36 [1111] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [1112] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.12/22.36 -> [1686] distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36 -> [1687] distinct_points(skolem_C8282, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [1687] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [1686] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.36 -> [1911] ~distinct_lines(N27_30_3, N27_30_3)
% 147.12/22.36
% 147.12/22.36 [1911] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.36 -> [1937] (distinct_lines(N27_30_3, N27_30_3) => (distinct_lines(N27_30_3, N27_30_3) | distinct_lines(N27_30_3, N27_30_3)))
% 147.12/22.36
% 147.12/22.36 [1937] BETA_IMPLY : (distinct_lines(N27_30_3, N27_30_3) => (distinct_lines(N27_30_3, N27_30_3) | distinct_lines(N27_30_3, N27_30_3)))
% 147.12/22.36 -> [1938] ~distinct_lines(N27_30_3, N27_30_3)
% 147.12/22.36 -> [1939] (distinct_lines(N27_30_3, N27_30_3) | distinct_lines(N27_30_3, N27_30_3))
% 147.12/22.36
% 147.12/22.36 [1939] BETA_OR : (distinct_lines(N27_30_3, N27_30_3) | distinct_lines(N27_30_3, N27_30_3))
% 147.12/22.36 -> [1942] distinct_lines(N27_30_3, N27_30_3)
% 147.12/22.36 -> [1943] distinct_lines(N27_30_3, N27_30_3)
% 147.12/22.36
% 147.12/22.36 [1943] CLOSURE : distinct_lines(N27_30_3, N27_30_3)
% 147.12/22.36
% 147.12/22.36 [1942] CLOSURE : distinct_lines(N27_30_3, N27_30_3)
% 147.12/22.36
% 147.12/22.36 [1938] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.36 -> [1988] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [1988] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.36 -> [2106] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [2106] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.12/22.36 -> [2108] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36 -> [2109] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [2108] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [2109] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.12/22.36 -> [3320] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36 -> [3321] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [3320] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [3321] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.36 -> [4233] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.36
% 147.12/22.36 [4233] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.36 -> [4234] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [4235] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [4234] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [4267] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [4268] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [4268] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [4267] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36
% 147.12/22.36 [4235] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [10774] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [10775] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [10774] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [10791] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [10791] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [10775] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [10784] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [10784] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.36 -> [10806] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [10806] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [10808] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.36 -> [10809] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [10808] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.36 -> [10823] ~line(skolem_M7878)
% 147.12/22.36 -> [10824] ~line(skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [10824] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [10840] ((unequally_directed_lines(skolem_N7979, M38_411_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_411_8))) => (left_convergent_lines(skolem_N7979, M38_411_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_411_8))))
% 147.12/22.36
% 147.12/22.36 [10840] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_411_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_411_8))) => (left_convergent_lines(skolem_N7979, M38_411_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_411_8))))
% 147.12/22.36 -> [10841] ~(unequally_directed_lines(skolem_N7979, M38_411_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_411_8)))
% 147.12/22.36 -> [10842] (left_convergent_lines(skolem_N7979, M38_411_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_411_8)))
% 147.12/22.36
% 147.12/22.36 [10842] BETA_OR : (left_convergent_lines(skolem_N7979, M38_411_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_411_8)))
% 147.12/22.36 -> [10844] left_convergent_lines(skolem_N7979, M38_411_8)
% 147.12/22.36 -> [10845] left_convergent_lines(skolem_N7979, reverse_line(M38_411_8))
% 147.12/22.36
% 147.12/22.36 [10844] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10941] ~(left_apart_point(A39_808_9, L40_808_9) | left_apart_point(A39_808_9, reverse_line(L40_808_9)))
% 147.12/22.36
% 147.12/22.36 [10941] ALPHA_NOT_OR : ~(left_apart_point(A39_808_9, L40_808_9) | left_apart_point(A39_808_9, reverse_line(L40_808_9)))
% 147.12/22.36 -> [10946] ~left_apart_point(A39_808_9, L40_808_9), ~left_apart_point(A39_808_9, reverse_line(L40_808_9))
% 147.12/22.36
% 147.12/22.36 [10946] CLOSURE : ~left_apart_point(A39_808_9, L40_808_9)
% 147.12/22.36
% 147.12/22.36 [10845] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10949] ~(left_apart_point(A39_809_9, L40_809_9) | left_apart_point(A39_809_9, reverse_line(L40_809_9)))
% 147.12/22.36
% 147.12/22.36 [10949] ALPHA_NOT_OR : ~(left_apart_point(A39_809_9, L40_809_9) | left_apart_point(A39_809_9, reverse_line(L40_809_9)))
% 147.12/22.36 -> [10952] ~left_apart_point(A39_809_9, L40_809_9), ~left_apart_point(A39_809_9, reverse_line(L40_809_9))
% 147.12/22.36
% 147.12/22.36 [10952] CLOSURE : ~left_apart_point(A39_809_9, L40_809_9)
% 147.12/22.36
% 147.12/22.36 [10841] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_411_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_411_8)))
% 147.12/22.36 -> [10870] ~unequally_directed_lines(skolem_N7979, M38_411_8)
% 147.12/22.36 -> [10871] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_411_8))
% 147.12/22.36
% 147.12/22.36 [10871] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_411_8))
% 147.12/22.36
% 147.12/22.36 [10870] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_411_8)
% 147.12/22.36
% 147.12/22.36 [10823] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [10860] ((unequally_directed_lines(skolem_N7979, M38_414_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_414_8))) => (left_convergent_lines(skolem_N7979, M38_414_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_414_8))))
% 147.12/22.36
% 147.12/22.36 [10860] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_414_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_414_8))) => (left_convergent_lines(skolem_N7979, M38_414_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_414_8))))
% 147.12/22.36 -> [10861] ~(unequally_directed_lines(skolem_N7979, M38_414_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_414_8)))
% 147.12/22.36 -> [10862] (left_convergent_lines(skolem_N7979, M38_414_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_414_8)))
% 147.12/22.36
% 147.12/22.36 [10862] BETA_OR : (left_convergent_lines(skolem_N7979, M38_414_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_414_8)))
% 147.12/22.36 -> [10867] left_convergent_lines(skolem_N7979, M38_414_8)
% 147.12/22.36 -> [10868] left_convergent_lines(skolem_N7979, reverse_line(M38_414_8))
% 147.12/22.36
% 147.12/22.36 [10868] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10931] ~(left_apart_point(A39_806_9, L40_806_9) | left_apart_point(A39_806_9, reverse_line(L40_806_9)))
% 147.12/22.36
% 147.12/22.36 [10931] ALPHA_NOT_OR : ~(left_apart_point(A39_806_9, L40_806_9) | left_apart_point(A39_806_9, reverse_line(L40_806_9)))
% 147.12/22.36 -> [10934] ~left_apart_point(A39_806_9, L40_806_9), ~left_apart_point(A39_806_9, reverse_line(L40_806_9))
% 147.12/22.36
% 147.12/22.36 [10934] CLOSURE : ~left_apart_point(A39_806_9, L40_806_9)
% 147.12/22.36
% 147.12/22.36 [10867] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10957] ~(left_apart_point(A39_812_9, L40_812_9) | left_apart_point(A39_812_9, reverse_line(L40_812_9)))
% 147.12/22.36
% 147.12/22.36 [10957] ALPHA_NOT_OR : ~(left_apart_point(A39_812_9, L40_812_9) | left_apart_point(A39_812_9, reverse_line(L40_812_9)))
% 147.12/22.36 -> [10960] ~left_apart_point(A39_812_9, L40_812_9), ~left_apart_point(A39_812_9, reverse_line(L40_812_9))
% 147.12/22.36
% 147.12/22.36 [10960] CLOSURE : ~left_apart_point(A39_812_9, L40_812_9)
% 147.12/22.36
% 147.12/22.36 [10861] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_414_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_414_8)))
% 147.12/22.36 -> [10891] ~unequally_directed_lines(skolem_N7979, M38_414_8)
% 147.12/22.36 -> [10892] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_414_8))
% 147.12/22.36
% 147.12/22.36 [10892] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_414_8))
% 147.12/22.36
% 147.12/22.36 [10891] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_414_8)
% 147.12/22.36
% 147.12/22.36 [10809] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [10816] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36 -> [10817] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [10816] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [10817] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [10851] ((unequally_directed_lines(skolem_N7979, M38_413_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_413_8))) => (left_convergent_lines(skolem_N7979, M38_413_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_413_8))))
% 147.12/22.36
% 147.12/22.36 [10851] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_413_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_413_8))) => (left_convergent_lines(skolem_N7979, M38_413_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_413_8))))
% 147.12/22.36 -> [10856] ~(unequally_directed_lines(skolem_N7979, M38_413_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_413_8)))
% 147.12/22.36 -> [10857] (left_convergent_lines(skolem_N7979, M38_413_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_413_8)))
% 147.12/22.36
% 147.12/22.36 [10857] BETA_OR : (left_convergent_lines(skolem_N7979, M38_413_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_413_8)))
% 147.12/22.36 -> [10858] left_convergent_lines(skolem_N7979, M38_413_8)
% 147.12/22.36 -> [10859] left_convergent_lines(skolem_N7979, reverse_line(M38_413_8))
% 147.12/22.36
% 147.12/22.36 [10858] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10978] ~(left_apart_point(A39_814_9, L40_814_9) | left_apart_point(A39_814_9, reverse_line(L40_814_9)))
% 147.12/22.36
% 147.12/22.36 [10978] ALPHA_NOT_OR : ~(left_apart_point(A39_814_9, L40_814_9) | left_apart_point(A39_814_9, reverse_line(L40_814_9)))
% 147.12/22.36 -> [10982] ~left_apart_point(A39_814_9, L40_814_9), ~left_apart_point(A39_814_9, reverse_line(L40_814_9))
% 147.12/22.36
% 147.12/22.36 [10982] CLOSURE : ~left_apart_point(A39_814_9, L40_814_9)
% 147.12/22.36
% 147.12/22.36 [10859] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [11132] ~(left_apart_point(A39_839_9, L40_839_9) | left_apart_point(A39_839_9, reverse_line(L40_839_9)))
% 147.12/22.36
% 147.12/22.36 [11132] ALPHA_NOT_OR : ~(left_apart_point(A39_839_9, L40_839_9) | left_apart_point(A39_839_9, reverse_line(L40_839_9)))
% 147.12/22.36 -> [11133] ~left_apart_point(A39_839_9, L40_839_9), ~left_apart_point(A39_839_9, reverse_line(L40_839_9))
% 147.12/22.36
% 147.12/22.36 [11133] CLOSURE : ~left_apart_point(A39_839_9, L40_839_9)
% 147.12/22.36
% 147.12/22.36 [10856] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_413_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_413_8)))
% 147.12/22.36 -> [10885] ~unequally_directed_lines(skolem_N7979, M38_413_8)
% 147.12/22.36 -> [10886] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_413_8))
% 147.12/22.36
% 147.12/22.36 [10886] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_413_8))
% 147.12/22.36
% 147.12/22.36 [10885] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_413_8)
% 147.12/22.36
% 147.12/22.36 [399] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.36 -> [403] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [403] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.36 -> [406] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.12/22.36 -> [407] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [406] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.36 -> [783] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.12/22.36 -> [784] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [783] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.36 -> [1240] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.36
% 147.12/22.36 [1240] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.36 -> [1251] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.12/22.36
% 147.12/22.36 [1251] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.12/22.36 -> [1252] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36 -> [1253] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [1252] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [1253] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.12/22.36 -> [1394] distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.36 -> [1395] distinct_points(skolem_C8282, skolem_B8181)
% 147.12/22.36
% 147.12/22.36 [1394] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.36
% 147.12/22.36 [1395] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.36 -> [1483] ~distinct_lines(N27_13_3, N27_13_3)
% 147.12/22.36
% 147.12/22.36 [1483] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.36 -> [1671] (distinct_lines(N27_13_3, N27_13_3) => (distinct_lines(N27_13_3, N27_13_3) | distinct_lines(N27_13_3, N27_13_3)))
% 147.12/22.36
% 147.12/22.36 [1671] BETA_IMPLY : (distinct_lines(N27_13_3, N27_13_3) => (distinct_lines(N27_13_3, N27_13_3) | distinct_lines(N27_13_3, N27_13_3)))
% 147.12/22.36 -> [1673] ~distinct_lines(N27_13_3, N27_13_3)
% 147.12/22.36 -> [1674] (distinct_lines(N27_13_3, N27_13_3) | distinct_lines(N27_13_3, N27_13_3))
% 147.12/22.36
% 147.12/22.36 [1674] BETA_OR : (distinct_lines(N27_13_3, N27_13_3) | distinct_lines(N27_13_3, N27_13_3))
% 147.12/22.36 -> [1675] distinct_lines(N27_13_3, N27_13_3)
% 147.12/22.36 -> [1676] distinct_lines(N27_13_3, N27_13_3)
% 147.12/22.36
% 147.12/22.36 [1676] CLOSURE : distinct_lines(N27_13_3, N27_13_3)
% 147.12/22.36
% 147.12/22.36 [1675] CLOSURE : distinct_lines(N27_13_3, N27_13_3)
% 147.12/22.36
% 147.12/22.36 [1673] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.36 -> [1711] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [1711] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.36 -> [1848] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.36
% 147.12/22.36 [1848] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.36 -> [1849] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36 -> [1850] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.36
% 147.12/22.36 [1849] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [1850] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.36 -> [3799] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36 -> [3800] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [3800] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [3799] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.36 -> [4258] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_43_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_43_6))) | (unequally_directed_lines(skolem_N7979, N34_43_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_43_6)))))
% 147.12/22.36
% 147.12/22.36 [4258] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_43_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_43_6))) | (unequally_directed_lines(skolem_N7979, N34_43_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_43_6)))))
% 147.12/22.36 -> [4259] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [4260] ((unequally_directed_lines(skolem_M7878, N34_43_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_43_6))) | (unequally_directed_lines(skolem_N7979, N34_43_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_43_6))))
% 147.12/22.36
% 147.12/22.36 [4259] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [4279] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [4280] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [4280] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [4279] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36
% 147.12/22.36 [4260] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_43_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_43_6))) | (unequally_directed_lines(skolem_N7979, N34_43_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_43_6))))
% 147.12/22.36 -> [7012] (unequally_directed_lines(skolem_M7878, N34_43_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_43_6)))
% 147.12/22.36 -> [7013] (unequally_directed_lines(skolem_N7979, N34_43_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_43_6)))
% 147.12/22.36
% 147.12/22.36 [7012] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_43_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_43_6)))
% 147.12/22.36 -> [7018] unequally_directed_lines(skolem_M7878, N34_43_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_43_6))
% 147.12/22.36
% 147.12/22.36 [7018] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.36 -> [7080] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.36
% 147.12/22.36 [7080] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.36 -> [7081] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.36 -> [7082] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.36
% 147.12/22.36 [7082] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.36 -> [7088] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.12/22.36 -> [7089] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [7089] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [7088] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [7528] ((unequally_directed_lines(skolem_M7878, M38_211_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_211_8))) => (left_convergent_lines(skolem_M7878, M38_211_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_211_8))))
% 147.12/22.36
% 147.12/22.36 [7528] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_211_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_211_8))) => (left_convergent_lines(skolem_M7878, M38_211_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_211_8))))
% 147.12/22.36 -> [7529] ~(unequally_directed_lines(skolem_M7878, M38_211_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_211_8)))
% 147.12/22.36 -> [7530] (left_convergent_lines(skolem_M7878, M38_211_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_211_8)))
% 147.12/22.36
% 147.12/22.36 [7529] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_211_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_211_8)))
% 147.12/22.36 -> [7545] ~unequally_directed_lines(skolem_M7878, M38_211_8)
% 147.12/22.36 -> [7546] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_211_8))
% 147.12/22.36
% 147.12/22.36 [7546] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_211_8))
% 147.12/22.36
% 147.12/22.36 [7545] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_211_8)
% 147.12/22.36
% 147.12/22.36 [7530] BETA_OR : (left_convergent_lines(skolem_M7878, M38_211_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_211_8)))
% 147.12/22.36 -> [7535] left_convergent_lines(skolem_M7878, M38_211_8)
% 147.12/22.36 -> [7536] left_convergent_lines(skolem_M7878, reverse_line(M38_211_8))
% 147.12/22.36
% 147.12/22.36 [7536] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7595] ~(left_apart_point(A39_372_9, L40_372_9) | left_apart_point(A39_372_9, reverse_line(L40_372_9)))
% 147.12/22.36
% 147.12/22.36 [7595] ALPHA_NOT_OR : ~(left_apart_point(A39_372_9, L40_372_9) | left_apart_point(A39_372_9, reverse_line(L40_372_9)))
% 147.12/22.36 -> [7596] ~left_apart_point(A39_372_9, L40_372_9), ~left_apart_point(A39_372_9, reverse_line(L40_372_9))
% 147.12/22.36
% 147.12/22.36 [7596] CLOSURE : ~left_apart_point(A39_372_9, L40_372_9)
% 147.12/22.36
% 147.12/22.36 [7535] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7606] ~(left_apart_point(A39_374_9, L40_374_9) | left_apart_point(A39_374_9, reverse_line(L40_374_9)))
% 147.12/22.36
% 147.12/22.36 [7606] ALPHA_NOT_OR : ~(left_apart_point(A39_374_9, L40_374_9) | left_apart_point(A39_374_9, reverse_line(L40_374_9)))
% 147.12/22.36 -> [7607] ~left_apart_point(A39_374_9, L40_374_9), ~left_apart_point(A39_374_9, reverse_line(L40_374_9))
% 147.12/22.36
% 147.12/22.36 [7607] CLOSURE : ~left_apart_point(A39_374_9, L40_374_9)
% 147.12/22.36
% 147.12/22.36 [7081] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.36 -> [7099] ~line(reverse_line(skolem_N7979))
% 147.12/22.36 -> [7100] ~line(skolem_N7979)
% 147.12/22.36
% 147.12/22.36 [7099] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [7200] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [7200] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [7201] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7202] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [7202] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7206] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [7207] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7207] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7377] ~(left_apart_point(A39_345_9, L40_345_9) | left_apart_point(A39_345_9, reverse_line(L40_345_9)))
% 147.12/22.36
% 147.12/22.36 [7377] ALPHA_NOT_OR : ~(left_apart_point(A39_345_9, L40_345_9) | left_apart_point(A39_345_9, reverse_line(L40_345_9)))
% 147.12/22.36 -> [7381] ~left_apart_point(A39_345_9, L40_345_9), ~left_apart_point(A39_345_9, reverse_line(L40_345_9))
% 147.12/22.36
% 147.12/22.36 [7381] CLOSURE : ~left_apart_point(A39_345_9, L40_345_9)
% 147.12/22.36
% 147.12/22.36 [7206] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7408] ~(left_apart_point(A39_350_9, L40_350_9) | left_apart_point(A39_350_9, reverse_line(L40_350_9)))
% 147.12/22.36
% 147.12/22.36 [7408] ALPHA_NOT_OR : ~(left_apart_point(A39_350_9, L40_350_9) | left_apart_point(A39_350_9, reverse_line(L40_350_9)))
% 147.12/22.36 -> [7413] ~left_apart_point(A39_350_9, L40_350_9), ~left_apart_point(A39_350_9, reverse_line(L40_350_9))
% 147.12/22.36
% 147.12/22.36 [7413] CLOSURE : ~left_apart_point(A39_350_9, L40_350_9)
% 147.12/22.36
% 147.12/22.36 [7201] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7262] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [7263] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7263] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7262] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [7100] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [7164] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [7164] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [7165] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7166] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [7165] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7215] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [7216] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7216] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7215] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [7166] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [7170] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [7171] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [7170] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7387] ~(left_apart_point(A39_347_9, L40_347_9) | left_apart_point(A39_347_9, reverse_line(L40_347_9)))
% 147.12/22.36
% 147.12/22.36 [7387] ALPHA_NOT_OR : ~(left_apart_point(A39_347_9, L40_347_9) | left_apart_point(A39_347_9, reverse_line(L40_347_9)))
% 147.12/22.36 -> [7388] ~left_apart_point(A39_347_9, L40_347_9), ~left_apart_point(A39_347_9, reverse_line(L40_347_9))
% 147.12/22.36
% 147.12/22.36 [7388] CLOSURE : ~left_apart_point(A39_347_9, L40_347_9)
% 147.12/22.36
% 147.12/22.36 [7171] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7804] ~(left_apart_point(A39_394_9, L40_394_9) | left_apart_point(A39_394_9, reverse_line(L40_394_9)))
% 147.12/22.36
% 147.12/22.36 [7804] ALPHA_NOT_OR : ~(left_apart_point(A39_394_9, L40_394_9) | left_apart_point(A39_394_9, reverse_line(L40_394_9)))
% 147.12/22.36 -> [7806] ~left_apart_point(A39_394_9, L40_394_9), ~left_apart_point(A39_394_9, reverse_line(L40_394_9))
% 147.12/22.36
% 147.12/22.36 [7806] CLOSURE : ~left_apart_point(A39_394_9, L40_394_9)
% 147.12/22.36
% 147.12/22.36 [7013] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_43_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_43_6)))
% 147.12/22.36 -> [7016] unequally_directed_lines(skolem_N7979, N34_43_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_43_6))
% 147.12/22.36
% 147.12/22.36 [7016] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.36 -> [7063] ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.12/22.36
% 147.12/22.36 [7063] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.12/22.36 -> [7064] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36 -> [7065] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.12/22.36
% 147.12/22.36 [7065] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.12/22.36 -> [7074] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36 -> [7075] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36
% 147.12/22.36 [7074] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [7075] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [7552] ((unequally_directed_lines(skolem_N7979, M38_212_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_212_8))) => (left_convergent_lines(skolem_N7979, M38_212_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_212_8))))
% 147.12/22.36
% 147.12/22.36 [7552] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_212_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_212_8))) => (left_convergent_lines(skolem_N7979, M38_212_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_212_8))))
% 147.12/22.36 -> [7553] ~(unequally_directed_lines(skolem_N7979, M38_212_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_212_8)))
% 147.12/22.36 -> [7554] (left_convergent_lines(skolem_N7979, M38_212_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_212_8)))
% 147.12/22.36
% 147.12/22.36 [7553] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_212_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_212_8)))
% 147.12/22.36 -> [7575] ~unequally_directed_lines(skolem_N7979, M38_212_8)
% 147.12/22.36 -> [7576] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_212_8))
% 147.12/22.36
% 147.12/22.36 [7576] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_212_8))
% 147.12/22.36
% 147.12/22.36 [7575] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_212_8)
% 147.12/22.36
% 147.12/22.36 [7554] BETA_OR : (left_convergent_lines(skolem_N7979, M38_212_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_212_8)))
% 147.12/22.36 -> [7557] left_convergent_lines(skolem_N7979, M38_212_8)
% 147.12/22.36 -> [7558] left_convergent_lines(skolem_N7979, reverse_line(M38_212_8))
% 147.12/22.36
% 147.12/22.36 [7558] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7620] ~(left_apart_point(A39_378_9, L40_378_9) | left_apart_point(A39_378_9, reverse_line(L40_378_9)))
% 147.12/22.36
% 147.12/22.36 [7620] ALPHA_NOT_OR : ~(left_apart_point(A39_378_9, L40_378_9) | left_apart_point(A39_378_9, reverse_line(L40_378_9)))
% 147.12/22.36 -> [7624] ~left_apart_point(A39_378_9, L40_378_9), ~left_apart_point(A39_378_9, reverse_line(L40_378_9))
% 147.12/22.36
% 147.12/22.36 [7624] CLOSURE : ~left_apart_point(A39_378_9, L40_378_9)
% 147.12/22.36
% 147.12/22.36 [7557] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7643] ~(left_apart_point(A39_380_9, L40_380_9) | left_apart_point(A39_380_9, reverse_line(L40_380_9)))
% 147.12/22.36
% 147.12/22.36 [7643] ALPHA_NOT_OR : ~(left_apart_point(A39_380_9, L40_380_9) | left_apart_point(A39_380_9, reverse_line(L40_380_9)))
% 147.12/22.36 -> [7644] ~left_apart_point(A39_380_9, L40_380_9), ~left_apart_point(A39_380_9, reverse_line(L40_380_9))
% 147.12/22.36
% 147.12/22.36 [7644] CLOSURE : ~left_apart_point(A39_380_9, L40_380_9)
% 147.12/22.36
% 147.12/22.36 [7064] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36 -> [7095] ~line(skolem_L7777)
% 147.12/22.36 -> [7096] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [7096] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [7141] ((unequally_directed_lines(skolem_N7979, M38_186_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_186_8))) => (left_convergent_lines(skolem_N7979, M38_186_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_186_8))))
% 147.12/22.36
% 147.12/22.36 [7141] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_186_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_186_8))) => (left_convergent_lines(skolem_N7979, M38_186_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_186_8))))
% 147.12/22.36 -> [7144] ~(unequally_directed_lines(skolem_N7979, M38_186_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_186_8)))
% 147.12/22.36 -> [7145] (left_convergent_lines(skolem_N7979, M38_186_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_186_8)))
% 147.12/22.36
% 147.12/22.36 [7144] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_186_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_186_8)))
% 147.12/22.36 -> [7191] ~unequally_directed_lines(skolem_N7979, M38_186_8)
% 147.12/22.36 -> [7192] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_186_8))
% 147.12/22.36
% 147.12/22.36 [7191] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_186_8)
% 147.12/22.36
% 147.12/22.36 [7192] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_186_8))
% 147.12/22.36
% 147.12/22.36 [7145] BETA_OR : (left_convergent_lines(skolem_N7979, M38_186_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_186_8)))
% 147.12/22.36 -> [7149] left_convergent_lines(skolem_N7979, M38_186_8)
% 147.12/22.36 -> [7150] left_convergent_lines(skolem_N7979, reverse_line(M38_186_8))
% 147.12/22.36
% 147.12/22.36 [7149] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7359] ~(left_apart_point(A39_343_9, L40_343_9) | left_apart_point(A39_343_9, reverse_line(L40_343_9)))
% 147.12/22.36
% 147.12/22.36 [7359] ALPHA_NOT_OR : ~(left_apart_point(A39_343_9, L40_343_9) | left_apart_point(A39_343_9, reverse_line(L40_343_9)))
% 147.12/22.36 -> [7364] ~left_apart_point(A39_343_9, L40_343_9), ~left_apart_point(A39_343_9, reverse_line(L40_343_9))
% 147.12/22.36
% 147.12/22.36 [7364] CLOSURE : ~left_apart_point(A39_343_9, L40_343_9)
% 147.12/22.36
% 147.12/22.36 [7150] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7848] ~(left_apart_point(A39_402_9, L40_402_9) | left_apart_point(A39_402_9, reverse_line(L40_402_9)))
% 147.12/22.36
% 147.12/22.36 [7848] ALPHA_NOT_OR : ~(left_apart_point(A39_402_9, L40_402_9) | left_apart_point(A39_402_9, reverse_line(L40_402_9)))
% 147.12/22.36 -> [7849] ~left_apart_point(A39_402_9, L40_402_9), ~left_apart_point(A39_402_9, reverse_line(L40_402_9))
% 147.12/22.36
% 147.12/22.36 [7849] CLOSURE : ~left_apart_point(A39_402_9, L40_402_9)
% 147.12/22.36
% 147.12/22.36 [7095] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [7176] ((unequally_directed_lines(skolem_N7979, M38_190_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_190_8))) => (left_convergent_lines(skolem_N7979, M38_190_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_190_8))))
% 147.12/22.36
% 147.12/22.36 [7176] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_190_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_190_8))) => (left_convergent_lines(skolem_N7979, M38_190_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_190_8))))
% 147.12/22.36 -> [7179] ~(unequally_directed_lines(skolem_N7979, M38_190_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_190_8)))
% 147.12/22.36 -> [7180] (left_convergent_lines(skolem_N7979, M38_190_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_190_8)))
% 147.12/22.36
% 147.12/22.36 [7179] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_190_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_190_8)))
% 147.12/22.36 -> [7234] ~unequally_directed_lines(skolem_N7979, M38_190_8)
% 147.12/22.36 -> [7235] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_190_8))
% 147.12/22.36
% 147.12/22.36 [7235] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_190_8))
% 147.12/22.36
% 147.12/22.36 [7234] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_190_8)
% 147.12/22.36
% 147.12/22.36 [7180] BETA_OR : (left_convergent_lines(skolem_N7979, M38_190_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_190_8)))
% 147.12/22.36 -> [7186] left_convergent_lines(skolem_N7979, M38_190_8)
% 147.12/22.36 -> [7187] left_convergent_lines(skolem_N7979, reverse_line(M38_190_8))
% 147.12/22.36
% 147.12/22.36 [7186] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7397] ~(left_apart_point(A39_349_9, L40_349_9) | left_apart_point(A39_349_9, reverse_line(L40_349_9)))
% 147.12/22.36
% 147.12/22.36 [7397] ALPHA_NOT_OR : ~(left_apart_point(A39_349_9, L40_349_9) | left_apart_point(A39_349_9, reverse_line(L40_349_9)))
% 147.12/22.36 -> [7398] ~left_apart_point(A39_349_9, L40_349_9), ~left_apart_point(A39_349_9, reverse_line(L40_349_9))
% 147.12/22.36
% 147.12/22.36 [7398] CLOSURE : ~left_apart_point(A39_349_9, L40_349_9)
% 147.12/22.36
% 147.12/22.36 [7187] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [7793] ~(left_apart_point(A39_392_9, L40_392_9) | left_apart_point(A39_392_9, reverse_line(L40_392_9)))
% 147.12/22.36
% 147.12/22.36 [7793] ALPHA_NOT_OR : ~(left_apart_point(A39_392_9, L40_392_9) | left_apart_point(A39_392_9, reverse_line(L40_392_9)))
% 147.12/22.36 -> [7797] ~left_apart_point(A39_392_9, L40_392_9), ~left_apart_point(A39_392_9, reverse_line(L40_392_9))
% 147.12/22.36
% 147.12/22.36 [7797] CLOSURE : ~left_apart_point(A39_392_9, L40_392_9)
% 147.12/22.36
% 147.12/22.36 [784] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.36 -> [1241] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [1241] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.36 -> [1259] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.12/22.36
% 147.12/22.36 [1259] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.12/22.36 -> [1260] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36 -> [1261] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.12/22.36
% 147.12/22.36 [1260] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [1261] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.12/22.36 -> [2029] distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36 -> [2030] distinct_points(skolem_C8282, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [2030] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [2029] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.36 -> [2406] ~distinct_lines(N27_63_3, N27_63_3)
% 147.12/22.36
% 147.12/22.36 [2406] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.36 -> [2418] (distinct_lines(N27_63_3, N27_63_3) => (distinct_lines(N27_63_3, N27_63_3) | distinct_lines(N27_63_3, N27_63_3)))
% 147.12/22.36
% 147.12/22.36 [2418] BETA_IMPLY : (distinct_lines(N27_63_3, N27_63_3) => (distinct_lines(N27_63_3, N27_63_3) | distinct_lines(N27_63_3, N27_63_3)))
% 147.12/22.36 -> [2419] ~distinct_lines(N27_63_3, N27_63_3)
% 147.12/22.36 -> [2420] (distinct_lines(N27_63_3, N27_63_3) | distinct_lines(N27_63_3, N27_63_3))
% 147.12/22.36
% 147.12/22.36 [2420] BETA_OR : (distinct_lines(N27_63_3, N27_63_3) | distinct_lines(N27_63_3, N27_63_3))
% 147.12/22.36 -> [2426] distinct_lines(N27_63_3, N27_63_3)
% 147.12/22.36 -> [2427] distinct_lines(N27_63_3, N27_63_3)
% 147.12/22.36
% 147.12/22.36 [2427] CLOSURE : distinct_lines(N27_63_3, N27_63_3)
% 147.12/22.36
% 147.12/22.36 [2426] CLOSURE : distinct_lines(N27_63_3, N27_63_3)
% 147.12/22.36
% 147.12/22.36 [2419] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.36 -> [2440] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [2440] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.36 -> [2457] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [2457] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.12/22.36 -> [2458] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36 -> [2459] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [2458] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [2459] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.12/22.36 -> [3066] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36 -> [3067] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [3066] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [3067] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.36 -> [3280] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.36
% 147.12/22.36 [3280] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.36 -> [3281] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [3282] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [3281] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [3287] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [3288] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [3288] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [3287] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36
% 147.12/22.36 [3282] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [9268] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [9269] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [9268] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [9301] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [9301] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [9269] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [9270] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [9270] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.36 -> [10405] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [10405] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [10406] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.36 -> [10407] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [10407] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [10412] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36 -> [10413] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [10412] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [10413] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [10940] ((unequally_directed_lines(skolem_N7979, M38_418_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_418_8))) => (left_convergent_lines(skolem_N7979, M38_418_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_418_8))))
% 147.12/22.36
% 147.12/22.36 [10940] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_418_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_418_8))) => (left_convergent_lines(skolem_N7979, M38_418_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_418_8))))
% 147.12/22.36 -> [10942] ~(unequally_directed_lines(skolem_N7979, M38_418_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_418_8)))
% 147.12/22.36 -> [10943] (left_convergent_lines(skolem_N7979, M38_418_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_418_8)))
% 147.12/22.36
% 147.12/22.36 [10943] BETA_OR : (left_convergent_lines(skolem_N7979, M38_418_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_418_8)))
% 147.12/22.36 -> [10947] left_convergent_lines(skolem_N7979, M38_418_8)
% 147.12/22.36 -> [10948] left_convergent_lines(skolem_N7979, reverse_line(M38_418_8))
% 147.12/22.36
% 147.12/22.36 [10947] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [11077] ~(left_apart_point(A39_828_9, L40_828_9) | left_apart_point(A39_828_9, reverse_line(L40_828_9)))
% 147.12/22.36
% 147.12/22.36 [11077] ALPHA_NOT_OR : ~(left_apart_point(A39_828_9, L40_828_9) | left_apart_point(A39_828_9, reverse_line(L40_828_9)))
% 147.12/22.36 -> [11078] ~left_apart_point(A39_828_9, L40_828_9), ~left_apart_point(A39_828_9, reverse_line(L40_828_9))
% 147.12/22.36
% 147.12/22.36 [11078] CLOSURE : ~left_apart_point(A39_828_9, L40_828_9)
% 147.12/22.36
% 147.12/22.36 [10948] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [11084] ~(left_apart_point(A39_829_9, L40_829_9) | left_apart_point(A39_829_9, reverse_line(L40_829_9)))
% 147.12/22.36
% 147.12/22.36 [11084] ALPHA_NOT_OR : ~(left_apart_point(A39_829_9, L40_829_9) | left_apart_point(A39_829_9, reverse_line(L40_829_9)))
% 147.12/22.36 -> [11086] ~left_apart_point(A39_829_9, L40_829_9), ~left_apart_point(A39_829_9, reverse_line(L40_829_9))
% 147.12/22.36
% 147.12/22.36 [11086] CLOSURE : ~left_apart_point(A39_829_9, L40_829_9)
% 147.12/22.36
% 147.12/22.36 [10942] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_418_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_418_8)))
% 147.12/22.36 -> [10976] ~unequally_directed_lines(skolem_N7979, M38_418_8)
% 147.12/22.36 -> [10977] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_418_8))
% 147.12/22.36
% 147.12/22.36 [10977] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_418_8))
% 147.12/22.36
% 147.12/22.36 [10976] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_418_8)
% 147.12/22.36
% 147.12/22.36 [10406] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.36 -> [10429] ~line(skolem_M7878)
% 147.12/22.36 -> [10430] ~line(skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [10429] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [10502] ((unequally_directed_lines(skolem_N7979, M38_391_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_391_8))) => (left_convergent_lines(skolem_N7979, M38_391_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_391_8))))
% 147.12/22.36
% 147.12/22.36 [10502] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_391_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_391_8))) => (left_convergent_lines(skolem_N7979, M38_391_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_391_8))))
% 147.12/22.36 -> [10505] ~(unequally_directed_lines(skolem_N7979, M38_391_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_391_8)))
% 147.12/22.36 -> [10506] (left_convergent_lines(skolem_N7979, M38_391_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_391_8)))
% 147.12/22.36
% 147.12/22.36 [10505] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_391_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_391_8)))
% 147.12/22.36 -> [10536] ~unequally_directed_lines(skolem_N7979, M38_391_8)
% 147.12/22.36 -> [10537] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_391_8))
% 147.12/22.36
% 147.12/22.36 [10537] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_391_8))
% 147.12/22.36
% 147.12/22.36 [10536] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_391_8)
% 147.12/22.36
% 147.12/22.36 [10506] BETA_OR : (left_convergent_lines(skolem_N7979, M38_391_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_391_8)))
% 147.12/22.36 -> [10515] left_convergent_lines(skolem_N7979, M38_391_8)
% 147.12/22.36 -> [10516] left_convergent_lines(skolem_N7979, reverse_line(M38_391_8))
% 147.12/22.36
% 147.12/22.36 [10515] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10563] ~(left_apart_point(A39_760_9, L40_760_9) | left_apart_point(A39_760_9, reverse_line(L40_760_9)))
% 147.12/22.36
% 147.12/22.36 [10563] ALPHA_NOT_OR : ~(left_apart_point(A39_760_9, L40_760_9) | left_apart_point(A39_760_9, reverse_line(L40_760_9)))
% 147.12/22.36 -> [10566] ~left_apart_point(A39_760_9, L40_760_9), ~left_apart_point(A39_760_9, reverse_line(L40_760_9))
% 147.12/22.36
% 147.12/22.36 [10566] CLOSURE : ~left_apart_point(A39_760_9, L40_760_9)
% 147.12/22.36
% 147.12/22.36 [10516] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10633] ~(left_apart_point(A39_769_9, L40_769_9) | left_apart_point(A39_769_9, reverse_line(L40_769_9)))
% 147.12/22.36
% 147.12/22.36 [10633] ALPHA_NOT_OR : ~(left_apart_point(A39_769_9, L40_769_9) | left_apart_point(A39_769_9, reverse_line(L40_769_9)))
% 147.12/22.36 -> [10637] ~left_apart_point(A39_769_9, L40_769_9), ~left_apart_point(A39_769_9, reverse_line(L40_769_9))
% 147.12/22.36
% 147.12/22.36 [10637] CLOSURE : ~left_apart_point(A39_769_9, L40_769_9)
% 147.12/22.36
% 147.12/22.36 [10430] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [10479] ((unequally_directed_lines(skolem_N7979, M38_389_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_389_8))) => (left_convergent_lines(skolem_N7979, M38_389_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_389_8))))
% 147.12/22.36
% 147.12/22.36 [10479] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_389_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_389_8))) => (left_convergent_lines(skolem_N7979, M38_389_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_389_8))))
% 147.12/22.36 -> [10480] ~(unequally_directed_lines(skolem_N7979, M38_389_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_389_8)))
% 147.12/22.36 -> [10481] (left_convergent_lines(skolem_N7979, M38_389_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_389_8)))
% 147.12/22.36
% 147.12/22.36 [10481] BETA_OR : (left_convergent_lines(skolem_N7979, M38_389_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_389_8)))
% 147.12/22.36 -> [10483] left_convergent_lines(skolem_N7979, M38_389_8)
% 147.12/22.36 -> [10484] left_convergent_lines(skolem_N7979, reverse_line(M38_389_8))
% 147.12/22.36
% 147.12/22.36 [10483] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10997] ~(left_apart_point(A39_817_9, L40_817_9) | left_apart_point(A39_817_9, reverse_line(L40_817_9)))
% 147.12/22.36
% 147.12/22.36 [10997] ALPHA_NOT_OR : ~(left_apart_point(A39_817_9, L40_817_9) | left_apart_point(A39_817_9, reverse_line(L40_817_9)))
% 147.12/22.36 -> [11000] ~left_apart_point(A39_817_9, L40_817_9), ~left_apart_point(A39_817_9, reverse_line(L40_817_9))
% 147.12/22.36
% 147.12/22.36 [11000] CLOSURE : ~left_apart_point(A39_817_9, L40_817_9)
% 147.12/22.36
% 147.12/22.36 [10484] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [11014] ~(left_apart_point(A39_819_9, L40_819_9) | left_apart_point(A39_819_9, reverse_line(L40_819_9)))
% 147.12/22.36
% 147.12/22.36 [11014] ALPHA_NOT_OR : ~(left_apart_point(A39_819_9, L40_819_9) | left_apart_point(A39_819_9, reverse_line(L40_819_9)))
% 147.12/22.36 -> [11015] ~left_apart_point(A39_819_9, L40_819_9), ~left_apart_point(A39_819_9, reverse_line(L40_819_9))
% 147.12/22.36
% 147.12/22.36 [11015] CLOSURE : ~left_apart_point(A39_819_9, L40_819_9)
% 147.12/22.36
% 147.12/22.36 [10480] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_389_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_389_8)))
% 147.12/22.36 -> [10521] ~unequally_directed_lines(skolem_N7979, M38_389_8)
% 147.12/22.36 -> [10522] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_389_8))
% 147.12/22.36
% 147.12/22.36 [10521] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_389_8)
% 147.12/22.36
% 147.12/22.36 [10522] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_389_8))
% 147.12/22.36
% 147.12/22.36 [407] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.36 -> [420] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.12/22.36 -> [421] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [421] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.36 -> [494] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.36
% 147.12/22.36 [494] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.36 -> [516] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.12/22.36
% 147.12/22.36 [516] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.12/22.36 -> [518] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36 -> [519] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [518] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [519] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.12/22.36 -> [1520] distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.36 -> [1521] distinct_points(skolem_C8282, skolem_B8181)
% 147.12/22.36
% 147.12/22.36 [1520] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.36
% 147.12/22.36 [1521] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.36 -> [1713] ~distinct_lines(N27_21_3, N27_21_3)
% 147.12/22.36
% 147.12/22.36 [1713] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.36 -> [1741] (distinct_lines(N27_21_3, N27_21_3) => (distinct_lines(N27_21_3, N27_21_3) | distinct_lines(N27_21_3, N27_21_3)))
% 147.12/22.36
% 147.12/22.36 [1741] BETA_IMPLY : (distinct_lines(N27_21_3, N27_21_3) => (distinct_lines(N27_21_3, N27_21_3) | distinct_lines(N27_21_3, N27_21_3)))
% 147.12/22.36 -> [1744] ~distinct_lines(N27_21_3, N27_21_3)
% 147.12/22.36 -> [1745] (distinct_lines(N27_21_3, N27_21_3) | distinct_lines(N27_21_3, N27_21_3))
% 147.12/22.36
% 147.12/22.36 [1745] BETA_OR : (distinct_lines(N27_21_3, N27_21_3) | distinct_lines(N27_21_3, N27_21_3))
% 147.12/22.36 -> [1912] distinct_lines(N27_21_3, N27_21_3)
% 147.12/22.36 -> [1913] distinct_lines(N27_21_3, N27_21_3)
% 147.12/22.36
% 147.12/22.36 [1912] CLOSURE : distinct_lines(N27_21_3, N27_21_3)
% 147.12/22.36
% 147.12/22.36 [1913] CLOSURE : distinct_lines(N27_21_3, N27_21_3)
% 147.12/22.36
% 147.12/22.36 [1744] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.36 -> [1835] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [1835] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.36 -> [1843] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [1843] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.12/22.36 -> [1844] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36 -> [1845] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [1844] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [1845] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.12/22.36 -> [2153] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36 -> [2154] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [2153] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [2154] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.36 -> [2824] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.36
% 147.12/22.36 [2824] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.36 -> [2825] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [2826] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [2825] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [2848] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [2849] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [2849] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [2848] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36
% 147.12/22.36 [2826] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [4002] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [4003] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [4002] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [4016] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [4016] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [4003] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [4004] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [4004] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.36 -> [4041] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [4041] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [4042] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.36 -> [4043] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [4043] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [4048] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36 -> [4049] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [4048] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [4049] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [4117] ((unequally_directed_lines(skolem_N7979, M38_35_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_35_8))) => (left_convergent_lines(skolem_N7979, M38_35_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_35_8))))
% 147.12/22.36
% 147.12/22.36 [4117] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_35_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_35_8))) => (left_convergent_lines(skolem_N7979, M38_35_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_35_8))))
% 147.12/22.36 -> [4119] ~(unequally_directed_lines(skolem_N7979, M38_35_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_35_8)))
% 147.12/22.36 -> [4120] (left_convergent_lines(skolem_N7979, M38_35_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_35_8)))
% 147.12/22.36
% 147.12/22.36 [4120] BETA_OR : (left_convergent_lines(skolem_N7979, M38_35_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_35_8)))
% 147.12/22.36 -> [4123] left_convergent_lines(skolem_N7979, M38_35_8)
% 147.12/22.36 -> [4124] left_convergent_lines(skolem_N7979, reverse_line(M38_35_8))
% 147.12/22.36
% 147.12/22.36 [4124] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [4173] ~(left_apart_point(A39_58_9, L40_58_9) | left_apart_point(A39_58_9, reverse_line(L40_58_9)))
% 147.12/22.36
% 147.12/22.36 [4173] ALPHA_NOT_OR : ~(left_apart_point(A39_58_9, L40_58_9) | left_apart_point(A39_58_9, reverse_line(L40_58_9)))
% 147.12/22.36 -> [4175] ~left_apart_point(A39_58_9, L40_58_9), ~left_apart_point(A39_58_9, reverse_line(L40_58_9))
% 147.12/22.36
% 147.12/22.36 [4175] CLOSURE : ~left_apart_point(A39_58_9, L40_58_9)
% 147.12/22.36
% 147.12/22.36 [4123] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [4172] ~(left_apart_point(A39_57_9, L40_57_9) | left_apart_point(A39_57_9, reverse_line(L40_57_9)))
% 147.12/22.36
% 147.12/22.36 [4172] ALPHA_NOT_OR : ~(left_apart_point(A39_57_9, L40_57_9) | left_apart_point(A39_57_9, reverse_line(L40_57_9)))
% 147.12/22.36 -> [4174] ~left_apart_point(A39_57_9, L40_57_9), ~left_apart_point(A39_57_9, reverse_line(L40_57_9))
% 147.12/22.36
% 147.12/22.36 [4174] CLOSURE : ~left_apart_point(A39_57_9, L40_57_9)
% 147.12/22.36
% 147.12/22.36 [4119] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_35_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_35_8)))
% 147.12/22.36 -> [4134] ~unequally_directed_lines(skolem_N7979, M38_35_8)
% 147.12/22.36 -> [4135] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_35_8))
% 147.12/22.36
% 147.12/22.36 [4134] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_35_8)
% 147.12/22.36
% 147.12/22.36 [4135] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_35_8))
% 147.12/22.36
% 147.12/22.36 [4042] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.36 -> [4059] ~line(skolem_M7878)
% 147.12/22.36 -> [4060] ~line(skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [4060] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [4085] ((unequally_directed_lines(skolem_N7979, M38_32_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_32_8))) => (left_convergent_lines(skolem_N7979, M38_32_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_32_8))))
% 147.12/22.36
% 147.12/22.36 [4085] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_32_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_32_8))) => (left_convergent_lines(skolem_N7979, M38_32_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_32_8))))
% 147.12/22.36 -> [4086] ~(unequally_directed_lines(skolem_N7979, M38_32_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_32_8)))
% 147.12/22.36 -> [4087] (left_convergent_lines(skolem_N7979, M38_32_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_32_8)))
% 147.12/22.36
% 147.12/22.36 [4086] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_32_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_32_8)))
% 147.12/22.36 -> [4106] ~unequally_directed_lines(skolem_N7979, M38_32_8)
% 147.12/22.36 -> [4107] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_32_8))
% 147.12/22.36
% 147.12/22.36 [4106] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_32_8)
% 147.12/22.36
% 147.12/22.36 [4107] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_32_8))
% 147.12/22.36
% 147.12/22.36 [4087] BETA_OR : (left_convergent_lines(skolem_N7979, M38_32_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_32_8)))
% 147.12/22.36 -> [4088] left_convergent_lines(skolem_N7979, M38_32_8)
% 147.12/22.36 -> [4089] left_convergent_lines(skolem_N7979, reverse_line(M38_32_8))
% 147.12/22.36
% 147.12/22.36 [4088] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [4309] ~(left_apart_point(A39_69_9, L40_69_9) | left_apart_point(A39_69_9, reverse_line(L40_69_9)))
% 147.12/22.36
% 147.12/22.36 [4309] ALPHA_NOT_OR : ~(left_apart_point(A39_69_9, L40_69_9) | left_apart_point(A39_69_9, reverse_line(L40_69_9)))
% 147.12/22.36 -> [4313] ~left_apart_point(A39_69_9, L40_69_9), ~left_apart_point(A39_69_9, reverse_line(L40_69_9))
% 147.12/22.36
% 147.12/22.36 [4313] CLOSURE : ~left_apart_point(A39_69_9, L40_69_9)
% 147.12/22.36
% 147.12/22.36 [4089] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [4569] ~(left_apart_point(A39_93_9, L40_93_9) | left_apart_point(A39_93_9, reverse_line(L40_93_9)))
% 147.12/22.36
% 147.12/22.36 [4569] ALPHA_NOT_OR : ~(left_apart_point(A39_93_9, L40_93_9) | left_apart_point(A39_93_9, reverse_line(L40_93_9)))
% 147.12/22.36 -> [4572] ~left_apart_point(A39_93_9, L40_93_9), ~left_apart_point(A39_93_9, reverse_line(L40_93_9))
% 147.12/22.36
% 147.12/22.36 [4572] CLOSURE : ~left_apart_point(A39_93_9, L40_93_9)
% 147.12/22.36
% 147.12/22.36 [4059] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [4096] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.36
% 147.12/22.36 [4096] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.36 -> [4097] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [4098] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36
% 147.12/22.36 [4098] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [4101] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [4102] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [4101] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [4247] ~(left_apart_point(A39_64_9, L40_64_9) | left_apart_point(A39_64_9, reverse_line(L40_64_9)))
% 147.12/22.36
% 147.12/22.36 [4247] ALPHA_NOT_OR : ~(left_apart_point(A39_64_9, L40_64_9) | left_apart_point(A39_64_9, reverse_line(L40_64_9)))
% 147.12/22.36 -> [4248] ~left_apart_point(A39_64_9, L40_64_9), ~left_apart_point(A39_64_9, reverse_line(L40_64_9))
% 147.12/22.36
% 147.12/22.36 [4248] CLOSURE : ~left_apart_point(A39_64_9, L40_64_9)
% 147.12/22.36
% 147.12/22.36 [4102] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [4299] ~(left_apart_point(A39_68_9, L40_68_9) | left_apart_point(A39_68_9, reverse_line(L40_68_9)))
% 147.12/22.36
% 147.12/22.36 [4299] ALPHA_NOT_OR : ~(left_apart_point(A39_68_9, L40_68_9) | left_apart_point(A39_68_9, reverse_line(L40_68_9)))
% 147.12/22.36 -> [4300] ~left_apart_point(A39_68_9, L40_68_9), ~left_apart_point(A39_68_9, reverse_line(L40_68_9))
% 147.12/22.36
% 147.12/22.36 [4300] CLOSURE : ~left_apart_point(A39_68_9, L40_68_9)
% 147.12/22.36
% 147.12/22.36 [4097] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [4126] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [4127] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [4126] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36
% 147.12/22.36 [4127] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [420] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.36 -> [760] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [760] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.36 -> [931] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.12/22.36
% 147.12/22.36 [931] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.12/22.36 -> [933] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36 -> [934] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.12/22.36
% 147.12/22.36 [933] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [934] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.12/22.36 -> [1862] distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36 -> [1863] distinct_points(skolem_C8282, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [1863] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [1862] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.36 -> [2456] ~distinct_lines(N27_66_3, N27_66_3)
% 147.12/22.36
% 147.12/22.36 [2456] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.36 -> [2478] (distinct_lines(N27_66_3, N27_66_3) => (distinct_lines(N27_66_3, N27_66_3) | distinct_lines(N27_66_3, N27_66_3)))
% 147.12/22.36
% 147.12/22.36 [2478] BETA_IMPLY : (distinct_lines(N27_66_3, N27_66_3) => (distinct_lines(N27_66_3, N27_66_3) | distinct_lines(N27_66_3, N27_66_3)))
% 147.12/22.36 -> [2480] ~distinct_lines(N27_66_3, N27_66_3)
% 147.12/22.36 -> [2481] (distinct_lines(N27_66_3, N27_66_3) | distinct_lines(N27_66_3, N27_66_3))
% 147.12/22.36
% 147.12/22.36 [2481] BETA_OR : (distinct_lines(N27_66_3, N27_66_3) | distinct_lines(N27_66_3, N27_66_3))
% 147.12/22.36 -> [2483] distinct_lines(N27_66_3, N27_66_3)
% 147.12/22.36 -> [2484] distinct_lines(N27_66_3, N27_66_3)
% 147.12/22.36
% 147.12/22.36 [2483] CLOSURE : distinct_lines(N27_66_3, N27_66_3)
% 147.12/22.36
% 147.12/22.36 [2484] CLOSURE : distinct_lines(N27_66_3, N27_66_3)
% 147.12/22.36
% 147.12/22.36 [2480] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.36 -> [2512] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [2512] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.36 -> [2636] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.36
% 147.12/22.36 [2636] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.36 -> [2638] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36 -> [2639] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.36
% 147.12/22.36 [2638] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [2639] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.36 -> [5230] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36 -> [5231] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [5231] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [5230] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.36 -> [7782] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_104_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_104_6))) | (unequally_directed_lines(skolem_N7979, N34_104_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_104_6)))))
% 147.12/22.36
% 147.12/22.36 [7782] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_104_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_104_6))) | (unequally_directed_lines(skolem_N7979, N34_104_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_104_6)))))
% 147.12/22.36 -> [7784] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [7785] ((unequally_directed_lines(skolem_M7878, N34_104_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_104_6))) | (unequally_directed_lines(skolem_N7979, N34_104_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_104_6))))
% 147.12/22.36
% 147.12/22.36 [7784] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [7799] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [7800] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [7800] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [7799] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36
% 147.12/22.36 [7785] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_104_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_104_6))) | (unequally_directed_lines(skolem_N7979, N34_104_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_104_6))))
% 147.12/22.36 -> [9652] (unequally_directed_lines(skolem_M7878, N34_104_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_104_6)))
% 147.12/22.36 -> [9653] (unequally_directed_lines(skolem_N7979, N34_104_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_104_6)))
% 147.12/22.36
% 147.12/22.36 [9652] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_104_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_104_6)))
% 147.12/22.36 -> [9677] unequally_directed_lines(skolem_M7878, N34_104_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_104_6))
% 147.12/22.36
% 147.12/22.36 [9677] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.36 -> [10338] ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.12/22.36
% 147.12/22.36 [10338] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.12/22.36 -> [10340] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36 -> [10341] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.12/22.36
% 147.12/22.36 [10340] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36 -> [10373] ~line(skolem_L7777)
% 147.12/22.36 -> [10374] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [10373] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [10625] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [10625] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [10627] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [10628] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [10627] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [10640] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [10641] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [10641] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [10640] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [10628] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [10634] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [10635] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [10635] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10655] ~(left_apart_point(A39_771_9, L40_771_9) | left_apart_point(A39_771_9, reverse_line(L40_771_9)))
% 147.12/22.36
% 147.12/22.36 [10655] ALPHA_NOT_OR : ~(left_apart_point(A39_771_9, L40_771_9) | left_apart_point(A39_771_9, reverse_line(L40_771_9)))
% 147.12/22.36 -> [10657] ~left_apart_point(A39_771_9, L40_771_9), ~left_apart_point(A39_771_9, reverse_line(L40_771_9))
% 147.12/22.36
% 147.12/22.36 [10657] CLOSURE : ~left_apart_point(A39_771_9, L40_771_9)
% 147.12/22.36
% 147.12/22.36 [10634] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10672] ~(left_apart_point(A39_773_9, L40_773_9) | left_apart_point(A39_773_9, reverse_line(L40_773_9)))
% 147.12/22.36
% 147.12/22.36 [10672] ALPHA_NOT_OR : ~(left_apart_point(A39_773_9, L40_773_9) | left_apart_point(A39_773_9, reverse_line(L40_773_9)))
% 147.12/22.36 -> [10673] ~left_apart_point(A39_773_9, L40_773_9), ~left_apart_point(A39_773_9, reverse_line(L40_773_9))
% 147.12/22.36
% 147.12/22.36 [10673] CLOSURE : ~left_apart_point(A39_773_9, L40_773_9)
% 147.12/22.36
% 147.12/22.36 [10374] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [10504] ((unequally_directed_lines(skolem_M7878, M38_392_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_392_8))) => (left_convergent_lines(skolem_M7878, M38_392_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_392_8))))
% 147.12/22.36
% 147.12/22.36 [10504] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_392_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_392_8))) => (left_convergent_lines(skolem_M7878, M38_392_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_392_8))))
% 147.12/22.36 -> [10508] ~(unequally_directed_lines(skolem_M7878, M38_392_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_392_8)))
% 147.12/22.36 -> [10509] (left_convergent_lines(skolem_M7878, M38_392_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_392_8)))
% 147.12/22.36
% 147.12/22.36 [10508] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_392_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_392_8)))
% 147.12/22.36 -> [10559] ~unequally_directed_lines(skolem_M7878, M38_392_8)
% 147.12/22.36 -> [10560] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_392_8))
% 147.12/22.36
% 147.12/22.36 [10559] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_392_8)
% 147.12/22.36
% 147.12/22.36 [10560] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_392_8))
% 147.12/22.36
% 147.12/22.36 [10509] BETA_OR : (left_convergent_lines(skolem_M7878, M38_392_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_392_8)))
% 147.12/22.36 -> [10517] left_convergent_lines(skolem_M7878, M38_392_8)
% 147.12/22.36 -> [10518] left_convergent_lines(skolem_M7878, reverse_line(M38_392_8))
% 147.12/22.36
% 147.12/22.36 [10518] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10740] ~(left_apart_point(A39_782_9, L40_782_9) | left_apart_point(A39_782_9, reverse_line(L40_782_9)))
% 147.12/22.36
% 147.12/22.36 [10740] ALPHA_NOT_OR : ~(left_apart_point(A39_782_9, L40_782_9) | left_apart_point(A39_782_9, reverse_line(L40_782_9)))
% 147.12/22.36 -> [10742] ~left_apart_point(A39_782_9, L40_782_9), ~left_apart_point(A39_782_9, reverse_line(L40_782_9))
% 147.12/22.36
% 147.12/22.36 [10742] CLOSURE : ~left_apart_point(A39_782_9, L40_782_9)
% 147.12/22.36
% 147.12/22.36 [10517] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10800] ~(left_apart_point(A39_788_9, L40_788_9) | left_apart_point(A39_788_9, reverse_line(L40_788_9)))
% 147.12/22.36
% 147.12/22.36 [10800] ALPHA_NOT_OR : ~(left_apart_point(A39_788_9, L40_788_9) | left_apart_point(A39_788_9, reverse_line(L40_788_9)))
% 147.12/22.36 -> [10986] ~left_apart_point(A39_788_9, L40_788_9), ~left_apart_point(A39_788_9, reverse_line(L40_788_9))
% 147.12/22.36
% 147.12/22.36 [10986] CLOSURE : ~left_apart_point(A39_788_9, L40_788_9)
% 147.12/22.36
% 147.12/22.36 [10341] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.12/22.36 -> [10347] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36 -> [10348] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36
% 147.12/22.36 [10347] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [10348] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [11005] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36
% 147.12/22.36 [11005] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [11011] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [11012] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [11011] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [11028] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [11029] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [11029] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [11028] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [11012] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [11020] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.36 -> [11021] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [11021] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [11056] ~(left_apart_point(A39_825_9, L40_825_9) | left_apart_point(A39_825_9, reverse_line(L40_825_9)))
% 147.12/22.36
% 147.12/22.36 [11056] ALPHA_NOT_OR : ~(left_apart_point(A39_825_9, L40_825_9) | left_apart_point(A39_825_9, reverse_line(L40_825_9)))
% 147.12/22.36 -> [11058] ~left_apart_point(A39_825_9, L40_825_9), ~left_apart_point(A39_825_9, reverse_line(L40_825_9))
% 147.12/22.36
% 147.12/22.36 [11058] CLOSURE : ~left_apart_point(A39_825_9, L40_825_9)
% 147.12/22.36
% 147.12/22.36 [11020] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [11093] ~(left_apart_point(A39_832_9, L40_832_9) | left_apart_point(A39_832_9, reverse_line(L40_832_9)))
% 147.12/22.36
% 147.12/22.36 [11093] ALPHA_NOT_OR : ~(left_apart_point(A39_832_9, L40_832_9) | left_apart_point(A39_832_9, reverse_line(L40_832_9)))
% 147.12/22.36 -> [11096] ~left_apart_point(A39_832_9, L40_832_9), ~left_apart_point(A39_832_9, reverse_line(L40_832_9))
% 147.12/22.36
% 147.12/22.36 [11096] CLOSURE : ~left_apart_point(A39_832_9, L40_832_9)
% 147.12/22.36
% 147.12/22.36 [9653] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_104_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_104_6)))
% 147.12/22.36 -> [9655] unequally_directed_lines(skolem_N7979, N34_104_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_104_6))
% 147.12/22.36
% 147.12/22.36 [9655] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.36 -> [10123] ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.12/22.36
% 147.12/22.36 [10123] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.12/22.36 -> [10125] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36 -> [10126] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.12/22.36
% 147.12/22.36 [10125] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36 -> [10159] ~line(skolem_L7777)
% 147.12/22.36 -> [10160] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [10160] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [10465] ((unequally_directed_lines(skolem_N7979, M38_388_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_388_8))) => (left_convergent_lines(skolem_N7979, M38_388_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_388_8))))
% 147.12/22.36
% 147.12/22.36 [10465] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_388_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_388_8))) => (left_convergent_lines(skolem_N7979, M38_388_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_388_8))))
% 147.12/22.36 -> [10467] ~(unequally_directed_lines(skolem_N7979, M38_388_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_388_8)))
% 147.12/22.36 -> [10468] (left_convergent_lines(skolem_N7979, M38_388_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_388_8)))
% 147.12/22.36
% 147.12/22.36 [10467] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_388_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_388_8)))
% 147.12/22.36 -> [10473] ~unequally_directed_lines(skolem_N7979, M38_388_8)
% 147.12/22.36 -> [10474] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_388_8))
% 147.12/22.36
% 147.12/22.36 [10474] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_388_8))
% 147.12/22.36
% 147.12/22.36 [10473] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_388_8)
% 147.12/22.36
% 147.12/22.36 [10468] BETA_OR : (left_convergent_lines(skolem_N7979, M38_388_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_388_8)))
% 147.12/22.36 -> [10469] left_convergent_lines(skolem_N7979, M38_388_8)
% 147.12/22.36 -> [10470] left_convergent_lines(skolem_N7979, reverse_line(M38_388_8))
% 147.12/22.36
% 147.12/22.36 [10470] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10494] ~(left_apart_point(A39_751_9, L40_751_9) | left_apart_point(A39_751_9, reverse_line(L40_751_9)))
% 147.12/22.36
% 147.12/22.36 [10494] ALPHA_NOT_OR : ~(left_apart_point(A39_751_9, L40_751_9) | left_apart_point(A39_751_9, reverse_line(L40_751_9)))
% 147.12/22.36 -> [10495] ~left_apart_point(A39_751_9, L40_751_9), ~left_apart_point(A39_751_9, reverse_line(L40_751_9))
% 147.12/22.36
% 147.12/22.36 [10495] CLOSURE : ~left_apart_point(A39_751_9, L40_751_9)
% 147.12/22.36
% 147.12/22.36 [10469] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10503] ~(left_apart_point(A39_755_9, L40_755_9) | left_apart_point(A39_755_9, reverse_line(L40_755_9)))
% 147.12/22.36
% 147.12/22.36 [10503] ALPHA_NOT_OR : ~(left_apart_point(A39_755_9, L40_755_9) | left_apart_point(A39_755_9, reverse_line(L40_755_9)))
% 147.12/22.36 -> [10507] ~left_apart_point(A39_755_9, L40_755_9), ~left_apart_point(A39_755_9, reverse_line(L40_755_9))
% 147.12/22.36
% 147.12/22.36 [10507] CLOSURE : ~left_apart_point(A39_755_9, L40_755_9)
% 147.12/22.36
% 147.12/22.36 [10159] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [10295] ((unequally_directed_lines(skolem_N7979, M38_377_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_377_8))) => (left_convergent_lines(skolem_N7979, M38_377_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_377_8))))
% 147.12/22.36
% 147.12/22.36 [10295] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_377_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_377_8))) => (left_convergent_lines(skolem_N7979, M38_377_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_377_8))))
% 147.12/22.36 -> [10297] ~(unequally_directed_lines(skolem_N7979, M38_377_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_377_8)))
% 147.12/22.36 -> [10298] (left_convergent_lines(skolem_N7979, M38_377_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_377_8)))
% 147.12/22.36
% 147.12/22.36 [10297] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_377_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_377_8)))
% 147.12/22.36 -> [10353] ~unequally_directed_lines(skolem_N7979, M38_377_8)
% 147.12/22.36 -> [10354] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_377_8))
% 147.12/22.36
% 147.12/22.36 [10354] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_377_8))
% 147.12/22.36
% 147.12/22.36 [10353] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_377_8)
% 147.12/22.36
% 147.12/22.36 [10298] BETA_OR : (left_convergent_lines(skolem_N7979, M38_377_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_377_8)))
% 147.12/22.36 -> [10305] left_convergent_lines(skolem_N7979, M38_377_8)
% 147.12/22.36 -> [10306] left_convergent_lines(skolem_N7979, reverse_line(M38_377_8))
% 147.12/22.36
% 147.12/22.36 [10305] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10456] ~(left_apart_point(A39_745_9, L40_745_9) | left_apart_point(A39_745_9, reverse_line(L40_745_9)))
% 147.12/22.36
% 147.12/22.36 [10456] ALPHA_NOT_OR : ~(left_apart_point(A39_745_9, L40_745_9) | left_apart_point(A39_745_9, reverse_line(L40_745_9)))
% 147.12/22.36 -> [10458] ~left_apart_point(A39_745_9, L40_745_9), ~left_apart_point(A39_745_9, reverse_line(L40_745_9))
% 147.12/22.36
% 147.12/22.36 [10458] CLOSURE : ~left_apart_point(A39_745_9, L40_745_9)
% 147.12/22.36
% 147.12/22.36 [10306] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [10571] ~(left_apart_point(A39_764_9, L40_764_9) | left_apart_point(A39_764_9, reverse_line(L40_764_9)))
% 147.12/22.36
% 147.12/22.36 [10571] ALPHA_NOT_OR : ~(left_apart_point(A39_764_9, L40_764_9) | left_apart_point(A39_764_9, reverse_line(L40_764_9)))
% 147.12/22.36 -> [10574] ~left_apart_point(A39_764_9, L40_764_9), ~left_apart_point(A39_764_9, reverse_line(L40_764_9))
% 147.12/22.36
% 147.12/22.36 [10574] CLOSURE : ~left_apart_point(A39_764_9, L40_764_9)
% 147.12/22.36
% 147.12/22.36 [10126] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.12/22.36 -> [10135] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36 -> [10136] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.12/22.36
% 147.12/22.36 [10135] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [10136] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.36 -> [12120] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.36
% 147.12/22.36 [12120] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.36 -> [12121] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [12122] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36
% 147.12/22.36 [12121] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [12132] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [12133] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [12133] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [12132] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36
% 147.12/22.36 [12122] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.36 -> [12127] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.36 -> [12128] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.36
% 147.12/22.36 [12128] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [12155] ~(left_apart_point(A39_968_9, L40_968_9) | left_apart_point(A39_968_9, reverse_line(L40_968_9)))
% 147.12/22.36
% 147.12/22.36 [12155] ALPHA_NOT_OR : ~(left_apart_point(A39_968_9, L40_968_9) | left_apart_point(A39_968_9, reverse_line(L40_968_9)))
% 147.12/22.36 -> [12165] ~left_apart_point(A39_968_9, L40_968_9), ~left_apart_point(A39_968_9, reverse_line(L40_968_9))
% 147.12/22.36
% 147.12/22.36 [12165] CLOSURE : ~left_apart_point(A39_968_9, L40_968_9)
% 147.12/22.36
% 147.12/22.36 [12127] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.36 -> [12158] ~(left_apart_point(A39_970_9, L40_970_9) | left_apart_point(A39_970_9, reverse_line(L40_970_9)))
% 147.12/22.36
% 147.12/22.36 [12158] ALPHA_NOT_OR : ~(left_apart_point(A39_970_9, L40_970_9) | left_apart_point(A39_970_9, reverse_line(L40_970_9)))
% 147.12/22.36 -> [12159] ~left_apart_point(A39_970_9, L40_970_9), ~left_apart_point(A39_970_9, reverse_line(L40_970_9))
% 147.12/22.36
% 147.12/22.36 [12159] CLOSURE : ~left_apart_point(A39_970_9, L40_970_9)
% 147.12/22.36
% 147.12/22.36 [367] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.36 -> [374] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.36
% 147.12/22.36 [374] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.12/22.36 -> [810] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [811] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [810] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.36 -> [905] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.36 -> [906] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [906] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [908] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36
% 147.12/22.36 [908] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.36 -> [911] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36 -> [912] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [911] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.36
% 147.12/22.36 [912] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.36
% 147.12/22.36 [905] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.36 -> [998] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.36
% 147.12/22.36 [998] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.36 -> [1084] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.12/22.36
% 147.12/22.36 [1084] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.12/22.36 -> [1090] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36 -> [1091] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.12/22.36
% 147.12/22.36 [1090] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.36
% 147.12/22.36 [1091] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.12/22.36 -> [1959] distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.36 -> [1960] distinct_points(skolem_C8282, skolem_B8181)
% 147.12/22.36
% 147.12/22.36 [1959] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.36
% 147.12/22.36 [1960] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.36 -> [2509] ~distinct_lines(N27_70_3, N27_70_3)
% 147.12/22.36
% 147.12/22.36 [2509] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.36 -> [2562] (distinct_lines(N27_70_3, N27_70_3) => (distinct_lines(N27_70_3, N27_70_3) | distinct_lines(N27_70_3, N27_70_3)))
% 147.12/22.36
% 147.12/22.36 [2562] BETA_IMPLY : (distinct_lines(N27_70_3, N27_70_3) => (distinct_lines(N27_70_3, N27_70_3) | distinct_lines(N27_70_3, N27_70_3)))
% 147.12/22.36 -> [2565] ~distinct_lines(N27_70_3, N27_70_3)
% 147.12/22.36 -> [2566] (distinct_lines(N27_70_3, N27_70_3) | distinct_lines(N27_70_3, N27_70_3))
% 147.12/22.36
% 147.12/22.36 [2566] BETA_OR : (distinct_lines(N27_70_3, N27_70_3) | distinct_lines(N27_70_3, N27_70_3))
% 147.12/22.36 -> [2572] distinct_lines(N27_70_3, N27_70_3)
% 147.12/22.36 -> [2573] distinct_lines(N27_70_3, N27_70_3)
% 147.12/22.36
% 147.12/22.36 [2573] CLOSURE : distinct_lines(N27_70_3, N27_70_3)
% 147.12/22.36
% 147.12/22.36 [2572] CLOSURE : distinct_lines(N27_70_3, N27_70_3)
% 147.12/22.36
% 147.12/22.36 [2565] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.36 -> [2730] ~unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.36
% 147.12/22.36 [2730] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.36 -> [2801] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.36
% 147.12/22.36 [2801] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.36 -> [2802] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.36 -> [2803] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.36
% 147.12/22.36 [2802] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.36
% 147.12/22.36 [2803] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.36 -> [4376] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.36 -> [4377] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.36
% 147.12/22.36 [4377] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.36
% 147.12/22.36 [4376] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.36 -> [5363] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_67_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_67_6))) | (unequally_directed_lines(skolem_N7979, N34_67_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_67_6)))))
% 147.12/22.36
% 147.12/22.36 [5363] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_67_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_67_6))) | (unequally_directed_lines(skolem_N7979, N34_67_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_67_6)))))
% 147.12/22.36 -> [5364] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [5365] ((unequally_directed_lines(skolem_M7878, N34_67_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_67_6))) | (unequally_directed_lines(skolem_N7979, N34_67_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_67_6))))
% 147.12/22.37
% 147.12/22.37 [5364] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [5388] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37 -> [5389] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [5389] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [5388] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37
% 147.12/22.37 [5365] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_67_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_67_6))) | (unequally_directed_lines(skolem_N7979, N34_67_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_67_6))))
% 147.12/22.37 -> [10921] (unequally_directed_lines(skolem_M7878, N34_67_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_67_6)))
% 147.12/22.37 -> [10922] (unequally_directed_lines(skolem_N7979, N34_67_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_67_6)))
% 147.12/22.37
% 147.12/22.37 [10922] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_67_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_67_6)))
% 147.12/22.37 -> [10925] unequally_directed_lines(skolem_N7979, N34_67_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_67_6))
% 147.12/22.37
% 147.12/22.37 [10925] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.37 -> [10987] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.12/22.37
% 147.12/22.37 [10987] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.12/22.37 -> [10990] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [10991] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37
% 147.12/22.37 [10990] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [11037] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [11038] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [11038] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11138] ((unequally_directed_lines(skolem_N7979, M38_424_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_424_8))) => (left_convergent_lines(skolem_N7979, M38_424_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_424_8))))
% 147.12/22.37
% 147.12/22.37 [11138] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_424_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_424_8))) => (left_convergent_lines(skolem_N7979, M38_424_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_424_8))))
% 147.12/22.37 -> [11139] ~(unequally_directed_lines(skolem_N7979, M38_424_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_424_8)))
% 147.12/22.37 -> [11140] (left_convergent_lines(skolem_N7979, M38_424_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_424_8)))
% 147.12/22.37
% 147.12/22.37 [11139] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_424_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_424_8)))
% 147.12/22.37 -> [11186] ~unequally_directed_lines(skolem_N7979, M38_424_8)
% 147.12/22.37 -> [11187] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_424_8))
% 147.12/22.37
% 147.12/22.37 [11187] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_424_8))
% 147.12/22.37
% 147.12/22.37 [11186] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_424_8)
% 147.12/22.37
% 147.12/22.37 [11140] BETA_OR : (left_convergent_lines(skolem_N7979, M38_424_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_424_8)))
% 147.12/22.37 -> [11146] left_convergent_lines(skolem_N7979, M38_424_8)
% 147.12/22.37 -> [11147] left_convergent_lines(skolem_N7979, reverse_line(M38_424_8))
% 147.12/22.37
% 147.12/22.37 [11147] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11277] ~(left_apart_point(A39_845_9, L40_845_9) | left_apart_point(A39_845_9, reverse_line(L40_845_9)))
% 147.12/22.37
% 147.12/22.37 [11277] ALPHA_NOT_OR : ~(left_apart_point(A39_845_9, L40_845_9) | left_apart_point(A39_845_9, reverse_line(L40_845_9)))
% 147.12/22.37 -> [11282] ~left_apart_point(A39_845_9, L40_845_9), ~left_apart_point(A39_845_9, reverse_line(L40_845_9))
% 147.12/22.37
% 147.12/22.37 [11282] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [11585] ~(left_convergent_lines(L41_236_10, M42_236_10) | left_convergent_lines(L41_236_10, reverse_line(M42_236_10)))
% 147.12/22.37
% 147.12/22.37 [11585] ALPHA_NOT_OR : ~(left_convergent_lines(L41_236_10, M42_236_10) | left_convergent_lines(L41_236_10, reverse_line(M42_236_10)))
% 147.12/22.37 -> [11588] ~left_convergent_lines(L41_236_10, M42_236_10), ~left_convergent_lines(L41_236_10, reverse_line(M42_236_10))
% 147.12/22.37
% 147.12/22.37 [11588] CLOSURE : ~left_convergent_lines(L41_236_10, M42_236_10)
% 147.12/22.37
% 147.12/22.37 [11146] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11322] ~(left_apart_point(A39_848_9, L40_848_9) | left_apart_point(A39_848_9, reverse_line(L40_848_9)))
% 147.12/22.37
% 147.12/22.37 [11322] ALPHA_NOT_OR : ~(left_apart_point(A39_848_9, L40_848_9) | left_apart_point(A39_848_9, reverse_line(L40_848_9)))
% 147.12/22.37 -> [11327] ~left_apart_point(A39_848_9, L40_848_9), ~left_apart_point(A39_848_9, reverse_line(L40_848_9))
% 147.12/22.37
% 147.12/22.37 [11327] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [11627] ~(left_convergent_lines(L41_239_10, M42_239_10) | left_convergent_lines(L41_239_10, reverse_line(M42_239_10)))
% 147.12/22.37
% 147.12/22.37 [11627] ALPHA_NOT_OR : ~(left_convergent_lines(L41_239_10, M42_239_10) | left_convergent_lines(L41_239_10, reverse_line(M42_239_10)))
% 147.12/22.37 -> [11632] ~left_convergent_lines(L41_239_10, M42_239_10), ~left_convergent_lines(L41_239_10, reverse_line(M42_239_10))
% 147.12/22.37
% 147.12/22.37 [11632] CLOSURE : ~left_convergent_lines(L41_239_10, M42_239_10)
% 147.12/22.37
% 147.12/22.37 [11037] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11166] ((unequally_directed_lines(skolem_N7979, M38_425_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_425_8))) => (left_convergent_lines(skolem_N7979, M38_425_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_425_8))))
% 147.12/22.37
% 147.12/22.37 [11166] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_425_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_425_8))) => (left_convergent_lines(skolem_N7979, M38_425_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_425_8))))
% 147.12/22.37 -> [11169] ~(unequally_directed_lines(skolem_N7979, M38_425_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_425_8)))
% 147.12/22.37 -> [11170] (left_convergent_lines(skolem_N7979, M38_425_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_425_8)))
% 147.12/22.37
% 147.12/22.37 [11169] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_425_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_425_8)))
% 147.12/22.37 -> [11213] ~unequally_directed_lines(skolem_N7979, M38_425_8)
% 147.12/22.37 -> [11214] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_425_8))
% 147.12/22.37
% 147.12/22.37 [11214] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_425_8))
% 147.12/22.37
% 147.12/22.37 [11213] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_425_8)
% 147.12/22.37
% 147.12/22.37 [11170] BETA_OR : (left_convergent_lines(skolem_N7979, M38_425_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_425_8)))
% 147.12/22.37 -> [11176] left_convergent_lines(skolem_N7979, M38_425_8)
% 147.12/22.37 -> [11177] left_convergent_lines(skolem_N7979, reverse_line(M38_425_8))
% 147.12/22.37
% 147.12/22.37 [11177] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11317] ~(left_apart_point(A39_847_9, L40_847_9) | left_apart_point(A39_847_9, reverse_line(L40_847_9)))
% 147.12/22.37
% 147.12/22.37 [11317] ALPHA_NOT_OR : ~(left_apart_point(A39_847_9, L40_847_9) | left_apart_point(A39_847_9, reverse_line(L40_847_9)))
% 147.12/22.37 -> [11318] ~left_apart_point(A39_847_9, L40_847_9), ~left_apart_point(A39_847_9, reverse_line(L40_847_9))
% 147.12/22.37
% 147.12/22.37 [11318] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [11619] ~(left_convergent_lines(L41_238_10, M42_238_10) | left_convergent_lines(L41_238_10, reverse_line(M42_238_10)))
% 147.12/22.37
% 147.12/22.37 [11619] ALPHA_NOT_OR : ~(left_convergent_lines(L41_238_10, M42_238_10) | left_convergent_lines(L41_238_10, reverse_line(M42_238_10)))
% 147.12/22.37 -> [11622] ~left_convergent_lines(L41_238_10, M42_238_10), ~left_convergent_lines(L41_238_10, reverse_line(M42_238_10))
% 147.12/22.37
% 147.12/22.37 [11622] CLOSURE : ~left_convergent_lines(L41_238_10, M42_238_10)
% 147.12/22.37
% 147.12/22.37 [11176] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11432] ~(left_apart_point(A39_871_9, L40_871_9) | left_apart_point(A39_871_9, reverse_line(L40_871_9)))
% 147.12/22.37
% 147.12/22.37 [11432] ALPHA_NOT_OR : ~(left_apart_point(A39_871_9, L40_871_9) | left_apart_point(A39_871_9, reverse_line(L40_871_9)))
% 147.12/22.37 -> [11436] ~left_apart_point(A39_871_9, L40_871_9), ~left_apart_point(A39_871_9, reverse_line(L40_871_9))
% 147.12/22.37
% 147.12/22.37 [11436] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [12107] ~(left_convergent_lines(L41_246_10, M42_246_10) | left_convergent_lines(L41_246_10, reverse_line(M42_246_10)))
% 147.12/22.37
% 147.12/22.37 [12107] ALPHA_NOT_OR : ~(left_convergent_lines(L41_246_10, M42_246_10) | left_convergent_lines(L41_246_10, reverse_line(M42_246_10)))
% 147.12/22.37 -> [12108] ~left_convergent_lines(L41_246_10, M42_246_10), ~left_convergent_lines(L41_246_10, reverse_line(M42_246_10))
% 147.12/22.37
% 147.12/22.37 [12108] CLOSURE : ~left_convergent_lines(L41_246_10, M42_246_10)
% 147.12/22.37
% 147.12/22.37 [10991] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37 -> [10998] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [10999] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37
% 147.12/22.37 [10998] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [10999] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11437] ((unequally_directed_lines(skolem_N7979, M38_448_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_448_8))) => (left_convergent_lines(skolem_N7979, M38_448_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_448_8))))
% 147.12/22.37
% 147.12/22.37 [11437] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_448_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_448_8))) => (left_convergent_lines(skolem_N7979, M38_448_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_448_8))))
% 147.12/22.37 -> [11440] ~(unequally_directed_lines(skolem_N7979, M38_448_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_448_8)))
% 147.12/22.37 -> [11441] (left_convergent_lines(skolem_N7979, M38_448_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_448_8)))
% 147.12/22.37
% 147.12/22.37 [11440] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_448_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_448_8)))
% 147.12/22.37 -> [11468] ~unequally_directed_lines(skolem_N7979, M38_448_8)
% 147.12/22.37 -> [11469] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_448_8))
% 147.12/22.37
% 147.12/22.37 [11469] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_448_8))
% 147.12/22.37
% 147.12/22.37 [11468] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_448_8)
% 147.12/22.37
% 147.12/22.37 [11441] BETA_OR : (left_convergent_lines(skolem_N7979, M38_448_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_448_8)))
% 147.12/22.37 -> [11447] left_convergent_lines(skolem_N7979, M38_448_8)
% 147.12/22.37 -> [11448] left_convergent_lines(skolem_N7979, reverse_line(M38_448_8))
% 147.12/22.37
% 147.12/22.37 [11447] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11783] ~(left_apart_point(A39_901_9, L40_901_9) | left_apart_point(A39_901_9, reverse_line(L40_901_9)))
% 147.12/22.37
% 147.12/22.37 [11783] ALPHA_NOT_OR : ~(left_apart_point(A39_901_9, L40_901_9) | left_apart_point(A39_901_9, reverse_line(L40_901_9)))
% 147.12/22.37 -> [11786] ~left_apart_point(A39_901_9, L40_901_9), ~left_apart_point(A39_901_9, reverse_line(L40_901_9))
% 147.12/22.37
% 147.12/22.37 [11786] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [12109] ~(left_convergent_lines(L41_247_10, M42_247_10) | left_convergent_lines(L41_247_10, reverse_line(M42_247_10)))
% 147.12/22.37
% 147.12/22.37 [12109] ALPHA_NOT_OR : ~(left_convergent_lines(L41_247_10, M42_247_10) | left_convergent_lines(L41_247_10, reverse_line(M42_247_10)))
% 147.12/22.37 -> [12110] ~left_convergent_lines(L41_247_10, M42_247_10), ~left_convergent_lines(L41_247_10, reverse_line(M42_247_10))
% 147.12/22.37
% 147.12/22.37 [12110] CLOSURE : ~left_convergent_lines(L41_247_10, M42_247_10)
% 147.12/22.37
% 147.12/22.37 [11448] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11880] ~(left_apart_point(A39_914_9, L40_914_9) | left_apart_point(A39_914_9, reverse_line(L40_914_9)))
% 147.12/22.37
% 147.12/22.37 [11880] ALPHA_NOT_OR : ~(left_apart_point(A39_914_9, L40_914_9) | left_apart_point(A39_914_9, reverse_line(L40_914_9)))
% 147.12/22.37 -> [11882] ~left_apart_point(A39_914_9, L40_914_9), ~left_apart_point(A39_914_9, reverse_line(L40_914_9))
% 147.12/22.37
% 147.12/22.37 [11882] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [12189] ~(left_convergent_lines(L41_251_10, M42_251_10) | left_convergent_lines(L41_251_10, reverse_line(M42_251_10)))
% 147.12/22.37
% 147.12/22.37 [12189] ALPHA_NOT_OR : ~(left_convergent_lines(L41_251_10, M42_251_10) | left_convergent_lines(L41_251_10, reverse_line(M42_251_10)))
% 147.12/22.37 -> [12190] ~left_convergent_lines(L41_251_10, M42_251_10), ~left_convergent_lines(L41_251_10, reverse_line(M42_251_10))
% 147.12/22.37
% 147.12/22.37 [12190] CLOSURE : ~left_convergent_lines(L41_251_10, M42_251_10)
% 147.12/22.37
% 147.12/22.37 [10921] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_67_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_67_6)))
% 147.12/22.37 -> [10935] unequally_directed_lines(skolem_M7878, N34_67_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_67_6))
% 147.12/22.37
% 147.12/22.37 [10935] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.37 -> [11057] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.12/22.37
% 147.12/22.37 [11057] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.12/22.37 -> [11060] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [11061] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37
% 147.12/22.37 [11061] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37 -> [11066] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [11067] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37
% 147.12/22.37 [11066] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [11067] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11194] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [11194] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [11196] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11197] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [11196] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11230] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11231] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11231] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11230] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [11197] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11206] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11207] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11207] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11373] ~(left_apart_point(A39_859_9, L40_859_9) | left_apart_point(A39_859_9, reverse_line(L40_859_9)))
% 147.12/22.37
% 147.12/22.37 [11373] ALPHA_NOT_OR : ~(left_apart_point(A39_859_9, L40_859_9) | left_apart_point(A39_859_9, reverse_line(L40_859_9)))
% 147.12/22.37 -> [11374] ~left_apart_point(A39_859_9, L40_859_9), ~left_apart_point(A39_859_9, reverse_line(L40_859_9))
% 147.12/22.37
% 147.12/22.37 [11374] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [12062] ~(left_convergent_lines(L41_244_10, M42_244_10) | left_convergent_lines(L41_244_10, reverse_line(M42_244_10)))
% 147.12/22.37
% 147.12/22.37 [12062] ALPHA_NOT_OR : ~(left_convergent_lines(L41_244_10, M42_244_10) | left_convergent_lines(L41_244_10, reverse_line(M42_244_10)))
% 147.12/22.37 -> [12065] ~left_convergent_lines(L41_244_10, M42_244_10), ~left_convergent_lines(L41_244_10, reverse_line(M42_244_10))
% 147.12/22.37
% 147.12/22.37 [12065] CLOSURE : ~left_convergent_lines(L41_244_10, M42_244_10)
% 147.12/22.37
% 147.12/22.37 [11206] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11420] ~(left_apart_point(A39_868_9, L40_868_9) | left_apart_point(A39_868_9, reverse_line(L40_868_9)))
% 147.12/22.37
% 147.12/22.37 [11420] ALPHA_NOT_OR : ~(left_apart_point(A39_868_9, L40_868_9) | left_apart_point(A39_868_9, reverse_line(L40_868_9)))
% 147.12/22.37 -> [11422] ~left_apart_point(A39_868_9, L40_868_9), ~left_apart_point(A39_868_9, reverse_line(L40_868_9))
% 147.12/22.37
% 147.12/22.37 [11422] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [12149] ~(left_convergent_lines(L41_249_10, M42_249_10) | left_convergent_lines(L41_249_10, reverse_line(M42_249_10)))
% 147.12/22.37
% 147.12/22.37 [12149] ALPHA_NOT_OR : ~(left_convergent_lines(L41_249_10, M42_249_10) | left_convergent_lines(L41_249_10, reverse_line(M42_249_10)))
% 147.12/22.37 -> [12150] ~left_convergent_lines(L41_249_10, M42_249_10), ~left_convergent_lines(L41_249_10, reverse_line(M42_249_10))
% 147.12/22.37
% 147.12/22.37 [12150] CLOSURE : ~left_convergent_lines(L41_249_10, M42_249_10)
% 147.12/22.37
% 147.12/22.37 [11060] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [11090] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [11091] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [11090] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11438] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [11438] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [11442] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11443] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [11443] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11449] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11450] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11450] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11491] ~(left_apart_point(A39_881_9, L40_881_9) | left_apart_point(A39_881_9, reverse_line(L40_881_9)))
% 147.12/22.37
% 147.12/22.37 [11491] ALPHA_NOT_OR : ~(left_apart_point(A39_881_9, L40_881_9) | left_apart_point(A39_881_9, reverse_line(L40_881_9)))
% 147.12/22.37 -> [11494] ~left_apart_point(A39_881_9, L40_881_9), ~left_apart_point(A39_881_9, reverse_line(L40_881_9))
% 147.12/22.37
% 147.12/22.37 [11494] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [11534] ~(left_convergent_lines(L41_230_10, M42_230_10) | left_convergent_lines(L41_230_10, reverse_line(M42_230_10)))
% 147.12/22.37
% 147.12/22.37 [11534] ALPHA_NOT_OR : ~(left_convergent_lines(L41_230_10, M42_230_10) | left_convergent_lines(L41_230_10, reverse_line(M42_230_10)))
% 147.12/22.37 -> [11535] ~left_convergent_lines(L41_230_10, M42_230_10), ~left_convergent_lines(L41_230_10, reverse_line(M42_230_10))
% 147.12/22.37
% 147.12/22.37 [11535] CLOSURE : ~left_convergent_lines(L41_230_10, M42_230_10)
% 147.12/22.37
% 147.12/22.37 [11449] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11502] ~(left_apart_point(A39_882_9, L40_882_9) | left_apart_point(A39_882_9, reverse_line(L40_882_9)))
% 147.12/22.37
% 147.12/22.37 [11502] ALPHA_NOT_OR : ~(left_apart_point(A39_882_9, L40_882_9) | left_apart_point(A39_882_9, reverse_line(L40_882_9)))
% 147.12/22.37 -> [11504] ~left_apart_point(A39_882_9, L40_882_9), ~left_apart_point(A39_882_9, reverse_line(L40_882_9))
% 147.12/22.37
% 147.12/22.37 [11504] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [11538] ~(left_convergent_lines(L41_232_10, M42_232_10) | left_convergent_lines(L41_232_10, reverse_line(M42_232_10)))
% 147.12/22.37
% 147.12/22.37 [11538] ALPHA_NOT_OR : ~(left_convergent_lines(L41_232_10, M42_232_10) | left_convergent_lines(L41_232_10, reverse_line(M42_232_10)))
% 147.12/22.37 -> [11539] ~left_convergent_lines(L41_232_10, M42_232_10), ~left_convergent_lines(L41_232_10, reverse_line(M42_232_10))
% 147.12/22.37
% 147.12/22.37 [11539] CLOSURE : ~left_convergent_lines(L41_232_10, M42_232_10)
% 147.12/22.37
% 147.12/22.37 [11442] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11454] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11455] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11454] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [11455] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11091] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11414] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [11414] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [11416] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11417] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [11416] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11430] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11431] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11431] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11430] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [11417] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11424] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11425] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11425] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11453] ~(left_apart_point(A39_873_9, L40_873_9) | left_apart_point(A39_873_9, reverse_line(L40_873_9)))
% 147.12/22.37
% 147.12/22.37 [11453] ALPHA_NOT_OR : ~(left_apart_point(A39_873_9, L40_873_9) | left_apart_point(A39_873_9, reverse_line(L40_873_9)))
% 147.12/22.37 -> [11456] ~left_apart_point(A39_873_9, L40_873_9), ~left_apart_point(A39_873_9, reverse_line(L40_873_9))
% 147.12/22.37
% 147.12/22.37 [11456] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [11653] ~(left_convergent_lines(L41_240_10, M42_240_10) | left_convergent_lines(L41_240_10, reverse_line(M42_240_10)))
% 147.12/22.37
% 147.12/22.37 [11653] ALPHA_NOT_OR : ~(left_convergent_lines(L41_240_10, M42_240_10) | left_convergent_lines(L41_240_10, reverse_line(M42_240_10)))
% 147.12/22.37 -> [11654] ~left_convergent_lines(L41_240_10, M42_240_10), ~left_convergent_lines(L41_240_10, reverse_line(M42_240_10))
% 147.12/22.37
% 147.12/22.37 [11654] CLOSURE : ~left_convergent_lines(L41_240_10, M42_240_10)
% 147.12/22.37
% 147.12/22.37 [11424] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11463] ~(left_apart_point(A39_875_9, L40_875_9) | left_apart_point(A39_875_9, reverse_line(L40_875_9)))
% 147.12/22.37
% 147.12/22.37 [11463] ALPHA_NOT_OR : ~(left_apart_point(A39_875_9, L40_875_9) | left_apart_point(A39_875_9, reverse_line(L40_875_9)))
% 147.12/22.37 -> [11464] ~left_apart_point(A39_875_9, L40_875_9), ~left_apart_point(A39_875_9, reverse_line(L40_875_9))
% 147.12/22.37
% 147.12/22.37 [11464] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [12205] ~(left_convergent_lines(L41_253_10, M42_253_10) | left_convergent_lines(L41_253_10, reverse_line(M42_253_10)))
% 147.12/22.37
% 147.12/22.37 [12205] ALPHA_NOT_OR : ~(left_convergent_lines(L41_253_10, M42_253_10) | left_convergent_lines(L41_253_10, reverse_line(M42_253_10)))
% 147.12/22.37 -> [12206] ~left_convergent_lines(L41_253_10, M42_253_10), ~left_convergent_lines(L41_253_10, reverse_line(M42_253_10))
% 147.12/22.37
% 147.12/22.37 [12206] CLOSURE : ~left_convergent_lines(L41_253_10, M42_253_10)
% 147.12/22.37
% 147.12/22.37 [811] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.37 -> [815] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [815] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.37 -> [817] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.12/22.37 -> [818] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [817] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.37 -> [1193] ~distinct_points(C23_81_1, C23_81_1)
% 147.12/22.37
% 147.12/22.37 [1193] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.37 -> [1230] (distinct_points(C23_81_1, C23_81_1) => (distinct_points(C23_81_1, C23_81_1) | distinct_points(C23_81_1, C23_81_1)))
% 147.12/22.37
% 147.12/22.37 [1230] BETA_IMPLY : (distinct_points(C23_81_1, C23_81_1) => (distinct_points(C23_81_1, C23_81_1) | distinct_points(C23_81_1, C23_81_1)))
% 147.12/22.37 -> [1231] ~distinct_points(C23_81_1, C23_81_1)
% 147.12/22.37 -> [1232] (distinct_points(C23_81_1, C23_81_1) | distinct_points(C23_81_1, C23_81_1))
% 147.12/22.37
% 147.12/22.37 [1232] BETA_OR : (distinct_points(C23_81_1, C23_81_1) | distinct_points(C23_81_1, C23_81_1))
% 147.12/22.37 -> [1236] distinct_points(C23_81_1, C23_81_1)
% 147.12/22.37 -> [1237] distinct_points(C23_81_1, C23_81_1)
% 147.12/22.37
% 147.12/22.37 [1237] CLOSURE : distinct_points(C23_81_1, C23_81_1)
% 147.12/22.37
% 147.12/22.37 [1236] CLOSURE : distinct_points(C23_81_1, C23_81_1)
% 147.12/22.37
% 147.12/22.37 [1231] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.37 -> [1771] ~distinct_lines(N27_24_3, N27_24_3)
% 147.12/22.37
% 147.12/22.37 [1771] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.37 -> [1793] (distinct_lines(N27_24_3, N27_24_3) => (distinct_lines(N27_24_3, N27_24_3) | distinct_lines(N27_24_3, N27_24_3)))
% 147.12/22.37
% 147.12/22.37 [1793] BETA_IMPLY : (distinct_lines(N27_24_3, N27_24_3) => (distinct_lines(N27_24_3, N27_24_3) | distinct_lines(N27_24_3, N27_24_3)))
% 147.12/22.37 -> [1794] ~distinct_lines(N27_24_3, N27_24_3)
% 147.12/22.37 -> [1795] (distinct_lines(N27_24_3, N27_24_3) | distinct_lines(N27_24_3, N27_24_3))
% 147.12/22.37
% 147.12/22.37 [1795] BETA_OR : (distinct_lines(N27_24_3, N27_24_3) | distinct_lines(N27_24_3, N27_24_3))
% 147.12/22.37 -> [1796] distinct_lines(N27_24_3, N27_24_3)
% 147.12/22.37 -> [1797] distinct_lines(N27_24_3, N27_24_3)
% 147.12/22.37
% 147.12/22.37 [1797] CLOSURE : distinct_lines(N27_24_3, N27_24_3)
% 147.12/22.37
% 147.12/22.37 [1796] CLOSURE : distinct_lines(N27_24_3, N27_24_3)
% 147.12/22.37
% 147.12/22.37 [1794] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.37 -> [1829] ~unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [1829] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.37 -> [1975] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37
% 147.12/22.37 [1975] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37 -> [1976] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [1977] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37
% 147.12/22.37 [1976] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [1977] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [4471] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [4472] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [4472] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [4471] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.37 -> [6506] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_89_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_89_6))) | (unequally_directed_lines(skolem_N7979, N34_89_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_89_6)))))
% 147.12/22.37
% 147.12/22.37 [6506] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_89_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_89_6))) | (unequally_directed_lines(skolem_N7979, N34_89_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_89_6)))))
% 147.12/22.37 -> [6510] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [6511] ((unequally_directed_lines(skolem_M7878, N34_89_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_89_6))) | (unequally_directed_lines(skolem_N7979, N34_89_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_89_6))))
% 147.12/22.37
% 147.12/22.37 [6510] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [6537] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37 -> [6538] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [6538] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [6537] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37
% 147.12/22.37 [6511] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_89_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_89_6))) | (unequally_directed_lines(skolem_N7979, N34_89_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_89_6))))
% 147.12/22.37 -> [7786] (unequally_directed_lines(skolem_M7878, N34_89_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_89_6)))
% 147.12/22.37 -> [7787] (unequally_directed_lines(skolem_N7979, N34_89_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_89_6)))
% 147.12/22.37
% 147.12/22.37 [7787] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_89_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_89_6)))
% 147.12/22.37 -> [7791] unequally_directed_lines(skolem_N7979, N34_89_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_89_6))
% 147.12/22.37
% 147.12/22.37 [7791] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.37 -> [7998] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.12/22.37
% 147.12/22.37 [7998] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.12/22.37 -> [7999] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [8000] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37
% 147.12/22.37 [8000] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37 -> [8007] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [8008] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37
% 147.12/22.37 [8007] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [8008] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [8217] ((unequally_directed_lines(skolem_N7979, M38_256_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_256_8))) => (left_convergent_lines(skolem_N7979, M38_256_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_256_8))))
% 147.12/22.37
% 147.12/22.37 [8217] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_256_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_256_8))) => (left_convergent_lines(skolem_N7979, M38_256_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_256_8))))
% 147.12/22.37 -> [8218] ~(unequally_directed_lines(skolem_N7979, M38_256_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_256_8)))
% 147.12/22.37 -> [8219] (left_convergent_lines(skolem_N7979, M38_256_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_256_8)))
% 147.12/22.37
% 147.12/22.37 [8219] BETA_OR : (left_convergent_lines(skolem_N7979, M38_256_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_256_8)))
% 147.12/22.37 -> [8225] left_convergent_lines(skolem_N7979, M38_256_8)
% 147.12/22.37 -> [8226] left_convergent_lines(skolem_N7979, reverse_line(M38_256_8))
% 147.12/22.37
% 147.12/22.37 [8226] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [8449] ~(left_apart_point(A39_495_9, L40_495_9) | left_apart_point(A39_495_9, reverse_line(L40_495_9)))
% 147.12/22.37
% 147.12/22.37 [8449] ALPHA_NOT_OR : ~(left_apart_point(A39_495_9, L40_495_9) | left_apart_point(A39_495_9, reverse_line(L40_495_9)))
% 147.12/22.37 -> [8450] ~left_apart_point(A39_495_9, L40_495_9), ~left_apart_point(A39_495_9, reverse_line(L40_495_9))
% 147.12/22.37
% 147.12/22.37 [8450] CLOSURE : ~left_apart_point(A39_495_9, L40_495_9)
% 147.12/22.37
% 147.12/22.37 [8225] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [8496] ~(left_apart_point(A39_505_9, L40_505_9) | left_apart_point(A39_505_9, reverse_line(L40_505_9)))
% 147.12/22.37
% 147.12/22.37 [8496] ALPHA_NOT_OR : ~(left_apart_point(A39_505_9, L40_505_9) | left_apart_point(A39_505_9, reverse_line(L40_505_9)))
% 147.12/22.37 -> [8497] ~left_apart_point(A39_505_9, L40_505_9), ~left_apart_point(A39_505_9, reverse_line(L40_505_9))
% 147.12/22.37
% 147.12/22.37 [8497] CLOSURE : ~left_apart_point(A39_505_9, L40_505_9)
% 147.12/22.37
% 147.12/22.37 [8218] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_256_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_256_8)))
% 147.12/22.37 -> [8285] ~unequally_directed_lines(skolem_N7979, M38_256_8)
% 147.12/22.37 -> [8286] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_256_8))
% 147.12/22.37
% 147.12/22.37 [8286] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_256_8))
% 147.12/22.37
% 147.12/22.37 [8285] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_256_8)
% 147.12/22.37
% 147.12/22.37 [7999] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [8037] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [8038] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [8038] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [8126] ((unequally_directed_lines(skolem_N7979, M38_250_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_250_8))) => (left_convergent_lines(skolem_N7979, M38_250_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_250_8))))
% 147.12/22.37
% 147.12/22.37 [8126] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_250_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_250_8))) => (left_convergent_lines(skolem_N7979, M38_250_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_250_8))))
% 147.12/22.37 -> [8128] ~(unequally_directed_lines(skolem_N7979, M38_250_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_250_8)))
% 147.12/22.37 -> [8129] (left_convergent_lines(skolem_N7979, M38_250_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_250_8)))
% 147.12/22.37
% 147.12/22.37 [8129] BETA_OR : (left_convergent_lines(skolem_N7979, M38_250_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_250_8)))
% 147.12/22.37 -> [8134] left_convergent_lines(skolem_N7979, M38_250_8)
% 147.12/22.37 -> [8135] left_convergent_lines(skolem_N7979, reverse_line(M38_250_8))
% 147.12/22.37
% 147.12/22.37 [8135] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [8363] ~(left_apart_point(A39_482_9, L40_482_9) | left_apart_point(A39_482_9, reverse_line(L40_482_9)))
% 147.12/22.37
% 147.12/22.37 [8363] ALPHA_NOT_OR : ~(left_apart_point(A39_482_9, L40_482_9) | left_apart_point(A39_482_9, reverse_line(L40_482_9)))
% 147.12/22.37 -> [8364] ~left_apart_point(A39_482_9, L40_482_9), ~left_apart_point(A39_482_9, reverse_line(L40_482_9))
% 147.12/22.37
% 147.12/22.37 [8364] CLOSURE : ~left_apart_point(A39_482_9, L40_482_9)
% 147.12/22.37
% 147.12/22.37 [8134] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [8439] ~(left_apart_point(A39_494_9, L40_494_9) | left_apart_point(A39_494_9, reverse_line(L40_494_9)))
% 147.12/22.37
% 147.12/22.37 [8439] ALPHA_NOT_OR : ~(left_apart_point(A39_494_9, L40_494_9) | left_apart_point(A39_494_9, reverse_line(L40_494_9)))
% 147.12/22.37 -> [8441] ~left_apart_point(A39_494_9, L40_494_9), ~left_apart_point(A39_494_9, reverse_line(L40_494_9))
% 147.12/22.37
% 147.12/22.37 [8441] CLOSURE : ~left_apart_point(A39_494_9, L40_494_9)
% 147.12/22.37
% 147.12/22.37 [8128] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_250_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_250_8)))
% 147.12/22.37 -> [8209] ~unequally_directed_lines(skolem_N7979, M38_250_8)
% 147.12/22.37 -> [8210] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_250_8))
% 147.12/22.37
% 147.12/22.37 [8210] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_250_8))
% 147.12/22.37
% 147.12/22.37 [8209] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_250_8)
% 147.12/22.37
% 147.12/22.37 [8037] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [8197] ((unequally_directed_lines(skolem_N7979, M38_255_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_255_8))) => (left_convergent_lines(skolem_N7979, M38_255_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_255_8))))
% 147.12/22.37
% 147.12/22.37 [8197] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_255_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_255_8))) => (left_convergent_lines(skolem_N7979, M38_255_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_255_8))))
% 147.12/22.37 -> [8201] ~(unequally_directed_lines(skolem_N7979, M38_255_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_255_8)))
% 147.12/22.37 -> [8202] (left_convergent_lines(skolem_N7979, M38_255_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_255_8)))
% 147.12/22.37
% 147.12/22.37 [8202] BETA_OR : (left_convergent_lines(skolem_N7979, M38_255_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_255_8)))
% 147.12/22.37 -> [8203] left_convergent_lines(skolem_N7979, M38_255_8)
% 147.12/22.37 -> [8204] left_convergent_lines(skolem_N7979, reverse_line(M38_255_8))
% 147.12/22.37
% 147.12/22.37 [8204] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [8423] ~(left_apart_point(A39_491_9, L40_491_9) | left_apart_point(A39_491_9, reverse_line(L40_491_9)))
% 147.12/22.37
% 147.12/22.37 [8423] ALPHA_NOT_OR : ~(left_apart_point(A39_491_9, L40_491_9) | left_apart_point(A39_491_9, reverse_line(L40_491_9)))
% 147.12/22.37 -> [8424] ~left_apart_point(A39_491_9, L40_491_9), ~left_apart_point(A39_491_9, reverse_line(L40_491_9))
% 147.12/22.37
% 147.12/22.37 [8424] CLOSURE : ~left_apart_point(A39_491_9, L40_491_9)
% 147.12/22.37
% 147.12/22.37 [8203] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [8488] ~(left_apart_point(A39_502_9, L40_502_9) | left_apart_point(A39_502_9, reverse_line(L40_502_9)))
% 147.12/22.37
% 147.12/22.37 [8488] ALPHA_NOT_OR : ~(left_apart_point(A39_502_9, L40_502_9) | left_apart_point(A39_502_9, reverse_line(L40_502_9)))
% 147.12/22.37 -> [8489] ~left_apart_point(A39_502_9, L40_502_9), ~left_apart_point(A39_502_9, reverse_line(L40_502_9))
% 147.12/22.37
% 147.12/22.37 [8489] CLOSURE : ~left_apart_point(A39_502_9, L40_502_9)
% 147.12/22.37
% 147.12/22.37 [8201] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_255_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_255_8)))
% 147.12/22.37 -> [8279] ~unequally_directed_lines(skolem_N7979, M38_255_8)
% 147.12/22.37 -> [8280] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_255_8))
% 147.12/22.37
% 147.12/22.37 [8280] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_255_8))
% 147.12/22.37
% 147.12/22.37 [8279] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_255_8)
% 147.12/22.37
% 147.12/22.37 [7786] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_89_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_89_6)))
% 147.12/22.37 -> [7831] unequally_directed_lines(skolem_M7878, N34_89_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_89_6))
% 147.12/22.37
% 147.12/22.37 [7831] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.37 -> [8022] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.12/22.37
% 147.12/22.37 [8022] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.12/22.37 -> [8025] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [8026] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37
% 147.12/22.37 [8025] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [8054] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [8055] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [8054] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [8328] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [8328] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [8329] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [8330] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [8330] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [8334] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [8335] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [8335] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [8598] ~(left_apart_point(A39_524_9, L40_524_9) | left_apart_point(A39_524_9, reverse_line(L40_524_9)))
% 147.12/22.37
% 147.12/22.37 [8598] ALPHA_NOT_OR : ~(left_apart_point(A39_524_9, L40_524_9) | left_apart_point(A39_524_9, reverse_line(L40_524_9)))
% 147.12/22.37 -> [8599] ~left_apart_point(A39_524_9, L40_524_9), ~left_apart_point(A39_524_9, reverse_line(L40_524_9))
% 147.12/22.37
% 147.12/22.37 [8599] CLOSURE : ~left_apart_point(A39_524_9, L40_524_9)
% 147.12/22.37
% 147.12/22.37 [8334] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [8721] ~(left_apart_point(A39_533_9, L40_533_9) | left_apart_point(A39_533_9, reverse_line(L40_533_9)))
% 147.12/22.37
% 147.12/22.37 [8721] ALPHA_NOT_OR : ~(left_apart_point(A39_533_9, L40_533_9) | left_apart_point(A39_533_9, reverse_line(L40_533_9)))
% 147.12/22.37 -> [8722] ~left_apart_point(A39_533_9, L40_533_9), ~left_apart_point(A39_533_9, reverse_line(L40_533_9))
% 147.12/22.37
% 147.12/22.37 [8722] CLOSURE : ~left_apart_point(A39_533_9, L40_533_9)
% 147.12/22.37
% 147.12/22.37 [8329] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [8425] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [8426] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [8426] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [8425] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [8055] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [8172] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [8172] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [8175] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [8176] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [8176] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [8181] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [8182] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [8182] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [8388] ~(left_apart_point(A39_485_9, L40_485_9) | left_apart_point(A39_485_9, reverse_line(L40_485_9)))
% 147.12/22.37
% 147.12/22.37 [8388] ALPHA_NOT_OR : ~(left_apart_point(A39_485_9, L40_485_9) | left_apart_point(A39_485_9, reverse_line(L40_485_9)))
% 147.12/22.37 -> [8389] ~left_apart_point(A39_485_9, L40_485_9), ~left_apart_point(A39_485_9, reverse_line(L40_485_9))
% 147.12/22.37
% 147.12/22.37 [8389] CLOSURE : ~left_apart_point(A39_485_9, L40_485_9)
% 147.12/22.37
% 147.12/22.37 [8181] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [8477] ~(left_apart_point(A39_499_9, L40_499_9) | left_apart_point(A39_499_9, reverse_line(L40_499_9)))
% 147.12/22.37
% 147.12/22.37 [8477] ALPHA_NOT_OR : ~(left_apart_point(A39_499_9, L40_499_9) | left_apart_point(A39_499_9, reverse_line(L40_499_9)))
% 147.12/22.37 -> [8478] ~left_apart_point(A39_499_9, L40_499_9), ~left_apart_point(A39_499_9, reverse_line(L40_499_9))
% 147.12/22.37
% 147.12/22.37 [8478] CLOSURE : ~left_apart_point(A39_499_9, L40_499_9)
% 147.12/22.37
% 147.12/22.37 [8175] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [8256] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [8257] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [8257] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [8256] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [8026] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37 -> [8031] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [8032] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37
% 147.12/22.37 [8031] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [8032] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [8189] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [8189] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [8190] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [8191] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [8191] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [8192] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [8193] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [8193] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [8412] ~(left_apart_point(A39_490_9, L40_490_9) | left_apart_point(A39_490_9, reverse_line(L40_490_9)))
% 147.12/22.37
% 147.12/22.37 [8412] ALPHA_NOT_OR : ~(left_apart_point(A39_490_9, L40_490_9) | left_apart_point(A39_490_9, reverse_line(L40_490_9)))
% 147.12/22.37 -> [8415] ~left_apart_point(A39_490_9, L40_490_9), ~left_apart_point(A39_490_9, reverse_line(L40_490_9))
% 147.12/22.37
% 147.12/22.37 [8415] CLOSURE : ~left_apart_point(A39_490_9, L40_490_9)
% 147.12/22.37
% 147.12/22.37 [8192] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [8484] ~(left_apart_point(A39_501_9, L40_501_9) | left_apart_point(A39_501_9, reverse_line(L40_501_9)))
% 147.12/22.37
% 147.12/22.37 [8484] ALPHA_NOT_OR : ~(left_apart_point(A39_501_9, L40_501_9) | left_apart_point(A39_501_9, reverse_line(L40_501_9)))
% 147.12/22.37 -> [8485] ~left_apart_point(A39_501_9, L40_501_9), ~left_apart_point(A39_501_9, reverse_line(L40_501_9))
% 147.12/22.37
% 147.12/22.37 [8485] CLOSURE : ~left_apart_point(A39_501_9, L40_501_9)
% 147.12/22.37
% 147.12/22.37 [8190] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [8267] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [8268] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [8268] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [8267] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [818] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.37 -> [1226] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.12/22.37
% 147.12/22.37 [1226] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.37 -> [1660] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.12/22.37
% 147.12/22.37 [1660] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.12/22.37 -> [1661] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.37 -> [1662] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.12/22.37
% 147.12/22.37 [1661] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.37
% 147.12/22.37 [1662] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.12/22.37 -> [2614] distinct_points(skolem_B8181, skolem_C8282)
% 147.12/22.37 -> [2615] distinct_points(skolem_C8282, skolem_C8282)
% 147.12/22.37
% 147.12/22.37 [2615] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.12/22.37
% 147.12/22.37 [2614] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.37 -> [2897] ~distinct_lines(N27_86_3, N27_86_3)
% 147.12/22.37
% 147.12/22.37 [2897] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.37 -> [2919] (distinct_lines(N27_86_3, N27_86_3) => (distinct_lines(N27_86_3, N27_86_3) | distinct_lines(N27_86_3, N27_86_3)))
% 147.12/22.37
% 147.12/22.37 [2919] BETA_IMPLY : (distinct_lines(N27_86_3, N27_86_3) => (distinct_lines(N27_86_3, N27_86_3) | distinct_lines(N27_86_3, N27_86_3)))
% 147.12/22.37 -> [2920] ~distinct_lines(N27_86_3, N27_86_3)
% 147.12/22.37 -> [2921] (distinct_lines(N27_86_3, N27_86_3) | distinct_lines(N27_86_3, N27_86_3))
% 147.12/22.37
% 147.12/22.37 [2921] BETA_OR : (distinct_lines(N27_86_3, N27_86_3) | distinct_lines(N27_86_3, N27_86_3))
% 147.12/22.37 -> [2925] distinct_lines(N27_86_3, N27_86_3)
% 147.12/22.37 -> [2926] distinct_lines(N27_86_3, N27_86_3)
% 147.12/22.37
% 147.12/22.37 [2925] CLOSURE : distinct_lines(N27_86_3, N27_86_3)
% 147.12/22.37
% 147.12/22.37 [2926] CLOSURE : distinct_lines(N27_86_3, N27_86_3)
% 147.12/22.37
% 147.12/22.37 [2920] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.37 -> [2970] ~unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [2970] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.37 -> [2989] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37
% 147.12/22.37 [2989] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37 -> [2992] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [2993] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37
% 147.12/22.37 [2992] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [2993] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [5001] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [5002] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [5002] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [5001] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.37 -> [5545] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_72_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_72_6))) | (unequally_directed_lines(skolem_N7979, N34_72_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_72_6)))))
% 147.12/22.37
% 147.12/22.37 [5545] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_72_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_72_6))) | (unequally_directed_lines(skolem_N7979, N34_72_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_72_6)))))
% 147.12/22.37 -> [5547] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [5548] ((unequally_directed_lines(skolem_M7878, N34_72_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_72_6))) | (unequally_directed_lines(skolem_N7979, N34_72_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_72_6))))
% 147.12/22.37
% 147.12/22.37 [5547] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [5566] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37 -> [5567] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [5567] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [5566] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37
% 147.12/22.37 [5548] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_72_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_72_6))) | (unequally_directed_lines(skolem_N7979, N34_72_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_72_6))))
% 147.12/22.37 -> [10966] (unequally_directed_lines(skolem_M7878, N34_72_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_72_6)))
% 147.12/22.37 -> [10967] (unequally_directed_lines(skolem_N7979, N34_72_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_72_6)))
% 147.12/22.37
% 147.12/22.37 [10966] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_72_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_72_6)))
% 147.12/22.37 -> [11003] unequally_directed_lines(skolem_M7878, N34_72_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_72_6))
% 147.12/22.37
% 147.12/22.37 [11003] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.37 -> [11150] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.12/22.37
% 147.12/22.37 [11150] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.12/22.37 -> [11152] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [11153] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37
% 147.12/22.37 [11152] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [11188] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [11189] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [11189] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11290] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [11290] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [11292] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11293] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [11292] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11369] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11370] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11370] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11369] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [11293] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11299] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11300] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11300] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11428] ~(left_apart_point(A39_870_9, L40_870_9) | left_apart_point(A39_870_9, reverse_line(L40_870_9)))
% 147.12/22.37
% 147.12/22.37 [11428] ALPHA_NOT_OR : ~(left_apart_point(A39_870_9, L40_870_9) | left_apart_point(A39_870_9, reverse_line(L40_870_9)))
% 147.12/22.37 -> [11433] ~left_apart_point(A39_870_9, L40_870_9), ~left_apart_point(A39_870_9, reverse_line(L40_870_9))
% 147.12/22.37
% 147.12/22.37 [11433] CLOSURE : ~left_apart_point(A39_870_9, L40_870_9)
% 147.12/22.37
% 147.12/22.37 [11299] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11466] ~(left_apart_point(A39_876_9, L40_876_9) | left_apart_point(A39_876_9, reverse_line(L40_876_9)))
% 147.12/22.37
% 147.12/22.37 [11466] ALPHA_NOT_OR : ~(left_apart_point(A39_876_9, L40_876_9) | left_apart_point(A39_876_9, reverse_line(L40_876_9)))
% 147.12/22.37 -> [11471] ~left_apart_point(A39_876_9, L40_876_9), ~left_apart_point(A39_876_9, reverse_line(L40_876_9))
% 147.12/22.37
% 147.12/22.37 [11471] CLOSURE : ~left_apart_point(A39_876_9, L40_876_9)
% 147.12/22.37
% 147.12/22.37 [11188] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11358] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [11358] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [11359] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11360] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [11359] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11512] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11513] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11513] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11512] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [11360] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11365] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11366] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11366] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11451] ~(left_apart_point(A39_872_9, L40_872_9) | left_apart_point(A39_872_9, reverse_line(L40_872_9)))
% 147.12/22.37
% 147.12/22.37 [11451] ALPHA_NOT_OR : ~(left_apart_point(A39_872_9, L40_872_9) | left_apart_point(A39_872_9, reverse_line(L40_872_9)))
% 147.12/22.37 -> [11452] ~left_apart_point(A39_872_9, L40_872_9), ~left_apart_point(A39_872_9, reverse_line(L40_872_9))
% 147.12/22.37
% 147.12/22.37 [11452] CLOSURE : ~left_apart_point(A39_872_9, L40_872_9)
% 147.12/22.37
% 147.12/22.37 [11365] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12151] ~(left_apart_point(A39_966_9, L40_966_9) | left_apart_point(A39_966_9, reverse_line(L40_966_9)))
% 147.12/22.37
% 147.12/22.37 [12151] ALPHA_NOT_OR : ~(left_apart_point(A39_966_9, L40_966_9) | left_apart_point(A39_966_9, reverse_line(L40_966_9)))
% 147.12/22.37 -> [12152] ~left_apart_point(A39_966_9, L40_966_9), ~left_apart_point(A39_966_9, reverse_line(L40_966_9))
% 147.12/22.37
% 147.12/22.37 [12152] CLOSURE : ~left_apart_point(A39_966_9, L40_966_9)
% 147.12/22.37
% 147.12/22.37 [11153] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37 -> [11157] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [11158] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37
% 147.12/22.37 [11157] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [11158] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11597] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [11597] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [11599] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11600] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [11600] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11603] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11604] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11604] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11866] ~(left_apart_point(A39_911_9, L40_911_9) | left_apart_point(A39_911_9, reverse_line(L40_911_9)))
% 147.12/22.37
% 147.12/22.37 [11866] ALPHA_NOT_OR : ~(left_apart_point(A39_911_9, L40_911_9) | left_apart_point(A39_911_9, reverse_line(L40_911_9)))
% 147.12/22.37 -> [11868] ~left_apart_point(A39_911_9, L40_911_9), ~left_apart_point(A39_911_9, reverse_line(L40_911_9))
% 147.12/22.37
% 147.12/22.37 [11868] CLOSURE : ~left_apart_point(A39_911_9, L40_911_9)
% 147.12/22.37
% 147.12/22.37 [11603] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12236] ~(left_apart_point(A39_986_9, L40_986_9) | left_apart_point(A39_986_9, reverse_line(L40_986_9)))
% 147.12/22.37
% 147.12/22.37 [12236] ALPHA_NOT_OR : ~(left_apart_point(A39_986_9, L40_986_9) | left_apart_point(A39_986_9, reverse_line(L40_986_9)))
% 147.12/22.37 -> [12237] ~left_apart_point(A39_986_9, L40_986_9), ~left_apart_point(A39_986_9, reverse_line(L40_986_9))
% 147.12/22.37
% 147.12/22.37 [12237] CLOSURE : ~left_apart_point(A39_986_9, L40_986_9)
% 147.12/22.37
% 147.12/22.37 [11599] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11999] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [12000] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [12000] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11999] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [10967] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_72_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_72_6)))
% 147.12/22.37 -> [10970] unequally_directed_lines(skolem_N7979, N34_72_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_72_6))
% 147.12/22.37
% 147.12/22.37 [10970] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.37 -> [11128] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.12/22.37
% 147.12/22.37 [11128] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.12/22.37 -> [11130] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [11131] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37
% 147.12/22.37 [11131] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37 -> [11136] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [11137] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37
% 147.12/22.37 [11136] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [11137] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11264] ((unequally_directed_lines(skolem_N7979, M38_434_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_434_8))) => (left_convergent_lines(skolem_N7979, M38_434_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_434_8))))
% 147.12/22.37
% 147.12/22.37 [11264] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_434_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_434_8))) => (left_convergent_lines(skolem_N7979, M38_434_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_434_8))))
% 147.12/22.37 -> [11265] ~(unequally_directed_lines(skolem_N7979, M38_434_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_434_8)))
% 147.12/22.37 -> [11266] (left_convergent_lines(skolem_N7979, M38_434_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_434_8)))
% 147.12/22.37
% 147.12/22.37 [11265] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_434_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_434_8)))
% 147.12/22.37 -> [11310] ~unequally_directed_lines(skolem_N7979, M38_434_8)
% 147.12/22.37 -> [11311] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_434_8))
% 147.12/22.37
% 147.12/22.37 [11311] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_434_8))
% 147.12/22.37
% 147.12/22.37 [11310] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_434_8)
% 147.12/22.37
% 147.12/22.37 [11266] BETA_OR : (left_convergent_lines(skolem_N7979, M38_434_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_434_8)))
% 147.12/22.37 -> [11267] left_convergent_lines(skolem_N7979, M38_434_8)
% 147.12/22.37 -> [11268] left_convergent_lines(skolem_N7979, reverse_line(M38_434_8))
% 147.12/22.37
% 147.12/22.37 [11268] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11413] ~(left_apart_point(A39_867_9, L40_867_9) | left_apart_point(A39_867_9, reverse_line(L40_867_9)))
% 147.12/22.37
% 147.12/22.37 [11413] ALPHA_NOT_OR : ~(left_apart_point(A39_867_9, L40_867_9) | left_apart_point(A39_867_9, reverse_line(L40_867_9)))
% 147.12/22.37 -> [11415] ~left_apart_point(A39_867_9, L40_867_9), ~left_apart_point(A39_867_9, reverse_line(L40_867_9))
% 147.12/22.37
% 147.12/22.37 [11415] CLOSURE : ~left_apart_point(A39_867_9, L40_867_9)
% 147.12/22.37
% 147.12/22.37 [11267] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11607] ~(left_apart_point(A39_891_9, L40_891_9) | left_apart_point(A39_891_9, reverse_line(L40_891_9)))
% 147.12/22.37
% 147.12/22.37 [11607] ALPHA_NOT_OR : ~(left_apart_point(A39_891_9, L40_891_9) | left_apart_point(A39_891_9, reverse_line(L40_891_9)))
% 147.12/22.37 -> [11609] ~left_apart_point(A39_891_9, L40_891_9), ~left_apart_point(A39_891_9, reverse_line(L40_891_9))
% 147.12/22.37
% 147.12/22.37 [11609] CLOSURE : ~left_apart_point(A39_891_9, L40_891_9)
% 147.12/22.37
% 147.12/22.37 [11130] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [11164] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [11165] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [11164] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11550] ((unequally_directed_lines(skolem_N7979, M38_454_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_454_8))) => (left_convergent_lines(skolem_N7979, M38_454_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_454_8))))
% 147.12/22.37
% 147.12/22.37 [11550] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_454_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_454_8))) => (left_convergent_lines(skolem_N7979, M38_454_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_454_8))))
% 147.12/22.37 -> [11554] ~(unequally_directed_lines(skolem_N7979, M38_454_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_454_8)))
% 147.12/22.37 -> [11555] (left_convergent_lines(skolem_N7979, M38_454_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_454_8)))
% 147.12/22.37
% 147.12/22.37 [11554] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_454_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_454_8)))
% 147.12/22.37 -> [11578] ~unequally_directed_lines(skolem_N7979, M38_454_8)
% 147.12/22.37 -> [11579] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_454_8))
% 147.12/22.37
% 147.12/22.37 [11579] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_454_8))
% 147.12/22.37
% 147.12/22.37 [11578] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_454_8)
% 147.12/22.37
% 147.12/22.37 [11555] BETA_OR : (left_convergent_lines(skolem_N7979, M38_454_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_454_8)))
% 147.12/22.37 -> [11556] left_convergent_lines(skolem_N7979, M38_454_8)
% 147.12/22.37 -> [11557] left_convergent_lines(skolem_N7979, reverse_line(M38_454_8))
% 147.12/22.37
% 147.12/22.37 [11556] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11736] ~(left_apart_point(A39_895_9, L40_895_9) | left_apart_point(A39_895_9, reverse_line(L40_895_9)))
% 147.12/22.37
% 147.12/22.37 [11736] ALPHA_NOT_OR : ~(left_apart_point(A39_895_9, L40_895_9) | left_apart_point(A39_895_9, reverse_line(L40_895_9)))
% 147.12/22.37 -> [11739] ~left_apart_point(A39_895_9, L40_895_9), ~left_apart_point(A39_895_9, reverse_line(L40_895_9))
% 147.12/22.37
% 147.12/22.37 [11739] CLOSURE : ~left_apart_point(A39_895_9, L40_895_9)
% 147.12/22.37
% 147.12/22.37 [11557] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12118] ~(left_apart_point(A39_958_9, L40_958_9) | left_apart_point(A39_958_9, reverse_line(L40_958_9)))
% 147.12/22.37
% 147.12/22.37 [12118] ALPHA_NOT_OR : ~(left_apart_point(A39_958_9, L40_958_9) | left_apart_point(A39_958_9, reverse_line(L40_958_9)))
% 147.12/22.37 -> [12119] ~left_apart_point(A39_958_9, L40_958_9), ~left_apart_point(A39_958_9, reverse_line(L40_958_9))
% 147.12/22.37
% 147.12/22.37 [12119] CLOSURE : ~left_apart_point(A39_958_9, L40_958_9)
% 147.12/22.37
% 147.12/22.37 [11165] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11946] ((unequally_directed_lines(skolem_N7979, M38_490_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_490_8))) => (left_convergent_lines(skolem_N7979, M38_490_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_490_8))))
% 147.12/22.37
% 147.12/22.37 [11946] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_490_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_490_8))) => (left_convergent_lines(skolem_N7979, M38_490_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_490_8))))
% 147.12/22.37 -> [11947] ~(unequally_directed_lines(skolem_N7979, M38_490_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_490_8)))
% 147.12/22.37 -> [11948] (left_convergent_lines(skolem_N7979, M38_490_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_490_8)))
% 147.12/22.37
% 147.12/22.37 [11947] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_490_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_490_8)))
% 147.12/22.37 -> [12247] ~unequally_directed_lines(skolem_N7979, M38_490_8)
% 147.12/22.37 -> [12248] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_490_8))
% 147.12/22.37
% 147.12/22.37 [12248] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_490_8))
% 147.12/22.37
% 147.12/22.37 [12247] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_490_8)
% 147.12/22.37
% 147.12/22.37 [11948] BETA_OR : (left_convergent_lines(skolem_N7979, M38_490_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_490_8)))
% 147.12/22.37 -> [11955] left_convergent_lines(skolem_N7979, M38_490_8)
% 147.12/22.37 -> [11956] left_convergent_lines(skolem_N7979, reverse_line(M38_490_8))
% 147.12/22.37
% 147.12/22.37 [11955] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12169] ~(left_apart_point(A39_973_9, L40_973_9) | left_apart_point(A39_973_9, reverse_line(L40_973_9)))
% 147.12/22.37
% 147.12/22.37 [12169] ALPHA_NOT_OR : ~(left_apart_point(A39_973_9, L40_973_9) | left_apart_point(A39_973_9, reverse_line(L40_973_9)))
% 147.12/22.37 -> [12170] ~left_apart_point(A39_973_9, L40_973_9), ~left_apart_point(A39_973_9, reverse_line(L40_973_9))
% 147.12/22.37
% 147.12/22.37 [12170] CLOSURE : ~left_apart_point(A39_973_9, L40_973_9)
% 147.12/22.37
% 147.12/22.37 [11956] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12286] ~(left_apart_point(A39_996_9, L40_996_9) | left_apart_point(A39_996_9, reverse_line(L40_996_9)))
% 147.12/22.37
% 147.12/22.37 [12286] ALPHA_NOT_OR : ~(left_apart_point(A39_996_9, L40_996_9) | left_apart_point(A39_996_9, reverse_line(L40_996_9)))
% 147.12/22.37 -> [12289] ~left_apart_point(A39_996_9, L40_996_9), ~left_apart_point(A39_996_9, reverse_line(L40_996_9))
% 147.12/22.37
% 147.12/22.37 [12289] CLOSURE : ~left_apart_point(A39_996_9, L40_996_9)
% 147.12/22.37
% 147.12/22.37 [42] ALPHA_AND : (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 147.12/22.37 -> [50] before_on_line(skolem_L7777, skolem_C8282, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 147.12/22.37
% 147.12/22.37 [50] Rewrite : before_on_line(skolem_L7777, skolem_C8282, skolem_B8181)
% 147.12/22.37 -> [59] (((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.37
% 147.12/22.37 [59] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 147.12/22.37 -> [65] (((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)))
% 147.12/22.37
% 147.12/22.37 [65] ALPHA_AND : (((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.37 -> [74] ((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.37
% 147.12/22.37 [74] ALPHA_AND : (((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)))
% 147.12/22.37 -> [80] ((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.12/22.37
% 147.12/22.37 [80] ALPHA_AND : ((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.12/22.37 -> [99] (distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.12/22.37
% 147.12/22.37 [99] ALPHA_AND : ((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777))))
% 147.12/22.37 -> [102] (distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.12/22.37
% 147.12/22.37 [102] ALPHA_AND : (distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777))))
% 147.12/22.37 -> [106] distinct_points(skolem_C8282, skolem_B8181), ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.12/22.37
% 147.12/22.37 [106] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.12/22.37 -> [113] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.12/22.37
% 147.12/22.37 [113] ALPHA_AND : (distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.12/22.37 -> [121] distinct_points(skolem_B8181, skolem_A8080), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.12/22.37
% 147.12/22.37 [121] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.12/22.37 -> [129] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 147.12/22.37
% 147.12/22.37 [129] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.12/22.37 -> [137] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 147.12/22.37
% 147.12/22.37 [137] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.12/22.37 -> [147] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.12/22.37
% 147.12/22.37 [147] BETA_NOT_AND : ~(((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.37 -> [180] ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.12/22.37 -> [181] ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.37
% 147.12/22.37 [180] BETA_NOT_AND : ~(((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [234] ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.12/22.37 -> [235] ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [235] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [246] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [246] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.12/22.37 -> [1052] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [1053] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [1052] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [1077] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.37 -> [1078] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [1078] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [1083] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [1083] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [1088] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.37 -> [1089] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [1088] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [1089] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [1077] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.37 -> [1566] ~distinct_points(A20_120_0, A20_120_0)
% 147.12/22.37
% 147.12/22.37 [1566] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.37 -> [1576] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.37
% 147.12/22.37 [1576] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.37 -> [1577] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.37 -> [1578] (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.37
% 147.12/22.37 [1577] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.37
% 147.12/22.37 [1578] BETA_OR : (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.37 -> [3064] distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.37 -> [3065] distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.37
% 147.12/22.37 [3064] CLOSURE : distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.37
% 147.12/22.37 [3065] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.37 -> [3267] ~distinct_lines(N27_108_3, N27_108_3)
% 147.12/22.37
% 147.12/22.37 [3267] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.37 -> [3343] (distinct_lines(N27_108_3, N27_108_3) => (distinct_lines(N27_108_3, N27_108_3) | distinct_lines(N27_108_3, N27_108_3)))
% 147.12/22.37
% 147.12/22.37 [3343] BETA_IMPLY : (distinct_lines(N27_108_3, N27_108_3) => (distinct_lines(N27_108_3, N27_108_3) | distinct_lines(N27_108_3, N27_108_3)))
% 147.12/22.37 -> [3344] ~distinct_lines(N27_108_3, N27_108_3)
% 147.12/22.37 -> [3345] (distinct_lines(N27_108_3, N27_108_3) | distinct_lines(N27_108_3, N27_108_3))
% 147.12/22.37
% 147.12/22.37 [3345] BETA_OR : (distinct_lines(N27_108_3, N27_108_3) | distinct_lines(N27_108_3, N27_108_3))
% 147.12/22.37 -> [3351] distinct_lines(N27_108_3, N27_108_3)
% 147.12/22.37 -> [3352] distinct_lines(N27_108_3, N27_108_3)
% 147.12/22.37
% 147.12/22.37 [3351] CLOSURE : distinct_lines(N27_108_3, N27_108_3)
% 147.12/22.37
% 147.12/22.37 [3352] CLOSURE : distinct_lines(N27_108_3, N27_108_3)
% 147.12/22.37
% 147.12/22.37 [3344] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.37 -> [3452] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [3452] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.37 -> [3564] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [3564] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 147.12/22.37 -> [3565] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [3566] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [3565] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [3566] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 147.12/22.37 -> [4634] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37 -> [4635] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [4634] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [4635] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.37 -> [5058] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.37
% 147.12/22.37 [5058] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.37 -> [5059] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [5060] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [5059] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [5094] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37 -> [5095] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [5095] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [5094] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37
% 147.12/22.37 [5060] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [6582] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [6583] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [6582] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [6596] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [6596] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [6583] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [6588] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [6588] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.37 -> [6644] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [6644] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [6649] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.37 -> [6650] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [6650] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [6661] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37 -> [6662] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [6661] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [6662] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [6749] ((unequally_directed_lines(skolem_N7979, M38_171_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_171_8))) => (left_convergent_lines(skolem_N7979, M38_171_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_171_8))))
% 147.12/22.37
% 147.12/22.37 [6749] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_171_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_171_8))) => (left_convergent_lines(skolem_N7979, M38_171_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_171_8))))
% 147.12/22.37 -> [6753] ~(unequally_directed_lines(skolem_N7979, M38_171_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_171_8)))
% 147.12/22.37 -> [6754] (left_convergent_lines(skolem_N7979, M38_171_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_171_8)))
% 147.12/22.37
% 147.12/22.37 [6753] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_171_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_171_8)))
% 147.12/22.37 -> [7097] ~unequally_directed_lines(skolem_N7979, M38_171_8)
% 147.12/22.37 -> [7098] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_171_8))
% 147.12/22.37
% 147.12/22.37 [7098] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_171_8))
% 147.12/22.37
% 147.12/22.37 [7097] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_171_8)
% 147.12/22.37
% 147.12/22.37 [6754] BETA_OR : (left_convergent_lines(skolem_N7979, M38_171_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_171_8)))
% 147.12/22.37 -> [6762] left_convergent_lines(skolem_N7979, M38_171_8)
% 147.12/22.37 -> [6763] left_convergent_lines(skolem_N7979, reverse_line(M38_171_8))
% 147.12/22.37
% 147.12/22.37 [6762] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [7264] ~(left_apart_point(A39_336_9, L40_336_9) | left_apart_point(A39_336_9, reverse_line(L40_336_9)))
% 147.12/22.37
% 147.12/22.37 [7264] ALPHA_NOT_OR : ~(left_apart_point(A39_336_9, L40_336_9) | left_apart_point(A39_336_9, reverse_line(L40_336_9)))
% 147.12/22.37 -> [7267] ~left_apart_point(A39_336_9, L40_336_9), ~left_apart_point(A39_336_9, reverse_line(L40_336_9))
% 147.12/22.37
% 147.12/22.37 [7267] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [7461] ~(left_convergent_lines(L41_89_10, M42_89_10) | left_convergent_lines(L41_89_10, reverse_line(M42_89_10)))
% 147.12/22.37
% 147.12/22.37 [7461] ALPHA_NOT_OR : ~(left_convergent_lines(L41_89_10, M42_89_10) | left_convergent_lines(L41_89_10, reverse_line(M42_89_10)))
% 147.12/22.37 -> [7465] ~left_convergent_lines(L41_89_10, M42_89_10), ~left_convergent_lines(L41_89_10, reverse_line(M42_89_10))
% 147.12/22.37
% 147.12/22.37 [7465] CLOSURE : ~left_convergent_lines(L41_89_10, M42_89_10)
% 147.12/22.37
% 147.12/22.37 [6763] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [7287] ~(left_apart_point(A39_338_9, L40_338_9) | left_apart_point(A39_338_9, reverse_line(L40_338_9)))
% 147.12/22.37
% 147.12/22.37 [7287] ALPHA_NOT_OR : ~(left_apart_point(A39_338_9, L40_338_9) | left_apart_point(A39_338_9, reverse_line(L40_338_9)))
% 147.12/22.37 -> [7290] ~left_apart_point(A39_338_9, L40_338_9), ~left_apart_point(A39_338_9, reverse_line(L40_338_9))
% 147.12/22.37
% 147.12/22.37 [7290] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [7448] ~(left_convergent_lines(L41_88_10, M42_88_10) | left_convergent_lines(L41_88_10, reverse_line(M42_88_10)))
% 147.12/22.37
% 147.12/22.37 [7448] ALPHA_NOT_OR : ~(left_convergent_lines(L41_88_10, M42_88_10) | left_convergent_lines(L41_88_10, reverse_line(M42_88_10)))
% 147.12/22.37 -> [7451] ~left_convergent_lines(L41_88_10, M42_88_10), ~left_convergent_lines(L41_88_10, reverse_line(M42_88_10))
% 147.12/22.37
% 147.12/22.37 [7451] CLOSURE : ~left_convergent_lines(L41_88_10, M42_88_10)
% 147.12/22.37
% 147.12/22.37 [6649] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.37 -> [6679] ~line(skolem_M7878)
% 147.12/22.37 -> [6680] ~line(skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [6679] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [6766] ((unequally_directed_lines(skolem_N7979, M38_172_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_172_8))) => (left_convergent_lines(skolem_N7979, M38_172_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_172_8))))
% 147.12/22.37
% 147.12/22.37 [6766] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_172_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_172_8))) => (left_convergent_lines(skolem_N7979, M38_172_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_172_8))))
% 147.12/22.37 -> [6767] ~(unequally_directed_lines(skolem_N7979, M38_172_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_172_8)))
% 147.12/22.37 -> [6768] (left_convergent_lines(skolem_N7979, M38_172_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_172_8)))
% 147.12/22.37
% 147.12/22.37 [6767] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_172_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_172_8)))
% 147.12/22.37 -> [6776] ~unequally_directed_lines(skolem_N7979, M38_172_8)
% 147.12/22.37 -> [6777] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_172_8))
% 147.12/22.37
% 147.12/22.37 [6777] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_172_8))
% 147.12/22.37
% 147.12/22.37 [6776] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_172_8)
% 147.12/22.37
% 147.12/22.37 [6768] BETA_OR : (left_convergent_lines(skolem_N7979, M38_172_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_172_8)))
% 147.12/22.37 -> [6774] left_convergent_lines(skolem_N7979, M38_172_8)
% 147.12/22.37 -> [6775] left_convergent_lines(skolem_N7979, reverse_line(M38_172_8))
% 147.12/22.37
% 147.12/22.37 [6774] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [6963] ~(left_apart_point(A39_303_9, L40_303_9) | left_apart_point(A39_303_9, reverse_line(L40_303_9)))
% 147.12/22.37
% 147.12/22.37 [6963] ALPHA_NOT_OR : ~(left_apart_point(A39_303_9, L40_303_9) | left_apart_point(A39_303_9, reverse_line(L40_303_9)))
% 147.12/22.37 -> [6964] ~left_apart_point(A39_303_9, L40_303_9), ~left_apart_point(A39_303_9, reverse_line(L40_303_9))
% 147.12/22.37
% 147.12/22.37 [6964] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [7087] ~(left_convergent_lines(L41_73_10, M42_73_10) | left_convergent_lines(L41_73_10, reverse_line(M42_73_10)))
% 147.12/22.37
% 147.12/22.37 [7087] ALPHA_NOT_OR : ~(left_convergent_lines(L41_73_10, M42_73_10) | left_convergent_lines(L41_73_10, reverse_line(M42_73_10)))
% 147.12/22.37 -> [7090] ~left_convergent_lines(L41_73_10, M42_73_10), ~left_convergent_lines(L41_73_10, reverse_line(M42_73_10))
% 147.12/22.37
% 147.12/22.37 [7090] CLOSURE : ~left_convergent_lines(L41_73_10, M42_73_10)
% 147.12/22.37
% 147.12/22.37 [6775] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [6953] ~(left_apart_point(A39_300_9, L40_300_9) | left_apart_point(A39_300_9, reverse_line(L40_300_9)))
% 147.12/22.37
% 147.12/22.37 [6953] ALPHA_NOT_OR : ~(left_apart_point(A39_300_9, L40_300_9) | left_apart_point(A39_300_9, reverse_line(L40_300_9)))
% 147.12/22.37 -> [6954] ~left_apart_point(A39_300_9, L40_300_9), ~left_apart_point(A39_300_9, reverse_line(L40_300_9))
% 147.12/22.37
% 147.12/22.37 [6954] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [7112] ~(left_convergent_lines(L41_75_10, M42_75_10) | left_convergent_lines(L41_75_10, reverse_line(M42_75_10)))
% 147.12/22.37
% 147.12/22.37 [7112] ALPHA_NOT_OR : ~(left_convergent_lines(L41_75_10, M42_75_10) | left_convergent_lines(L41_75_10, reverse_line(M42_75_10)))
% 147.12/22.37 -> [7115] ~left_convergent_lines(L41_75_10, M42_75_10), ~left_convergent_lines(L41_75_10, reverse_line(M42_75_10))
% 147.12/22.37
% 147.12/22.37 [7115] CLOSURE : ~left_convergent_lines(L41_75_10, M42_75_10)
% 147.12/22.37
% 147.12/22.37 [6680] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [6732] ((unequally_directed_lines(skolem_N7979, M38_170_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_170_8))) => (left_convergent_lines(skolem_N7979, M38_170_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_170_8))))
% 147.12/22.37
% 147.12/22.37 [6732] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_170_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_170_8))) => (left_convergent_lines(skolem_N7979, M38_170_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_170_8))))
% 147.12/22.37 -> [6735] ~(unequally_directed_lines(skolem_N7979, M38_170_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_170_8)))
% 147.12/22.37 -> [6736] (left_convergent_lines(skolem_N7979, M38_170_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_170_8)))
% 147.12/22.37
% 147.12/22.37 [6735] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_170_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_170_8)))
% 147.12/22.37 -> [6944] ~unequally_directed_lines(skolem_N7979, M38_170_8)
% 147.12/22.37 -> [6945] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_170_8))
% 147.12/22.37
% 147.12/22.37 [6945] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_170_8))
% 147.12/22.37
% 147.12/22.37 [6944] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_170_8)
% 147.12/22.37
% 147.12/22.37 [6736] BETA_OR : (left_convergent_lines(skolem_N7979, M38_170_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_170_8)))
% 147.12/22.37 -> [6740] left_convergent_lines(skolem_N7979, M38_170_8)
% 147.12/22.37 -> [6741] left_convergent_lines(skolem_N7979, reverse_line(M38_170_8))
% 147.12/22.37
% 147.12/22.37 [6741] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [7159] ~(left_apart_point(A39_327_9, L40_327_9) | left_apart_point(A39_327_9, reverse_line(L40_327_9)))
% 147.12/22.37
% 147.12/22.37 [7159] ALPHA_NOT_OR : ~(left_apart_point(A39_327_9, L40_327_9) | left_apart_point(A39_327_9, reverse_line(L40_327_9)))
% 147.12/22.37 -> [7160] ~left_apart_point(A39_327_9, L40_327_9), ~left_apart_point(A39_327_9, reverse_line(L40_327_9))
% 147.12/22.37
% 147.12/22.37 [7160] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [7303] ~(left_convergent_lines(L41_83_10, M42_83_10) | left_convergent_lines(L41_83_10, reverse_line(M42_83_10)))
% 147.12/22.37
% 147.12/22.37 [7303] ALPHA_NOT_OR : ~(left_convergent_lines(L41_83_10, M42_83_10) | left_convergent_lines(L41_83_10, reverse_line(M42_83_10)))
% 147.12/22.37 -> [7309] ~left_convergent_lines(L41_83_10, M42_83_10), ~left_convergent_lines(L41_83_10, reverse_line(M42_83_10))
% 147.12/22.37
% 147.12/22.37 [7309] CLOSURE : ~left_convergent_lines(L41_83_10, M42_83_10)
% 147.12/22.37
% 147.12/22.37 [6740] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [7091] ~(left_apart_point(A39_316_9, L40_316_9) | left_apart_point(A39_316_9, reverse_line(L40_316_9)))
% 147.12/22.37
% 147.12/22.37 [7091] ALPHA_NOT_OR : ~(left_apart_point(A39_316_9, L40_316_9) | left_apart_point(A39_316_9, reverse_line(L40_316_9)))
% 147.12/22.37 -> [7092] ~left_apart_point(A39_316_9, L40_316_9), ~left_apart_point(A39_316_9, reverse_line(L40_316_9))
% 147.12/22.37
% 147.12/22.37 [7092] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [7277] ~(left_convergent_lines(L41_82_10, M42_82_10) | left_convergent_lines(L41_82_10, reverse_line(M42_82_10)))
% 147.12/22.37
% 147.12/22.37 [7277] ALPHA_NOT_OR : ~(left_convergent_lines(L41_82_10, M42_82_10) | left_convergent_lines(L41_82_10, reverse_line(M42_82_10)))
% 147.12/22.37 -> [7280] ~left_convergent_lines(L41_82_10, M42_82_10), ~left_convergent_lines(L41_82_10, reverse_line(M42_82_10))
% 147.12/22.37
% 147.12/22.37 [7280] CLOSURE : ~left_convergent_lines(L41_82_10, M42_82_10)
% 147.12/22.37
% 147.12/22.37 [1053] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.37 -> [1060] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [1060] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.37 -> [1065] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.12/22.37 -> [1066] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [1065] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.37 -> [1428] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.37
% 147.12/22.37 [1428] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.37 -> [1480] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.12/22.37
% 147.12/22.37 [1480] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.12/22.37 -> [1481] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.37 -> [1482] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.12/22.37
% 147.12/22.37 [1481] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.37
% 147.12/22.37 [1482] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.12/22.37 -> [2377] distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.37 -> [2378] distinct_points(skolem_A8080, skolem_B8181)
% 147.12/22.37
% 147.12/22.37 [2377] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.37
% 147.12/22.37 [2378] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.37 -> [3078] ~distinct_lines(N27_97_3, N27_97_3)
% 147.12/22.37
% 147.12/22.37 [3078] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.37 -> [3155] (distinct_lines(N27_97_3, N27_97_3) => (distinct_lines(N27_97_3, N27_97_3) | distinct_lines(N27_97_3, N27_97_3)))
% 147.12/22.37
% 147.12/22.37 [3155] BETA_IMPLY : (distinct_lines(N27_97_3, N27_97_3) => (distinct_lines(N27_97_3, N27_97_3) | distinct_lines(N27_97_3, N27_97_3)))
% 147.12/22.37 -> [3157] ~distinct_lines(N27_97_3, N27_97_3)
% 147.12/22.37 -> [3158] (distinct_lines(N27_97_3, N27_97_3) | distinct_lines(N27_97_3, N27_97_3))
% 147.12/22.37
% 147.12/22.37 [3158] BETA_OR : (distinct_lines(N27_97_3, N27_97_3) | distinct_lines(N27_97_3, N27_97_3))
% 147.12/22.37 -> [3161] distinct_lines(N27_97_3, N27_97_3)
% 147.12/22.37 -> [3162] distinct_lines(N27_97_3, N27_97_3)
% 147.12/22.37
% 147.12/22.37 [3162] CLOSURE : distinct_lines(N27_97_3, N27_97_3)
% 147.12/22.37
% 147.12/22.37 [3161] CLOSURE : distinct_lines(N27_97_3, N27_97_3)
% 147.12/22.37
% 147.12/22.37 [3157] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.37 -> [3202] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [3202] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.37 -> [3308] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [3308] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 147.12/22.37 -> [3311] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [3312] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [3311] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [3312] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 147.12/22.37 -> [8468] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37 -> [8469] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [8468] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [8469] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.37 -> [10766] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.37
% 147.12/22.37 [10766] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.37 -> [10767] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [10768] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [10767] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [10810] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37 -> [10811] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [10811] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [10810] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37
% 147.12/22.37 [10768] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [12160] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [12161] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [12160] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [12168] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [12168] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [12161] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [12166] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [12166] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.37 -> [12184] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [12184] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [12187] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.37 -> [12188] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [12188] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [12191] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37 -> [12192] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [12191] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [12192] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [12387] ((unequally_directed_lines(skolem_N7979, M38_516_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_516_8))) => (left_convergent_lines(skolem_N7979, M38_516_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_516_8))))
% 147.12/22.37
% 147.12/22.37 [12387] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_516_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_516_8))) => (left_convergent_lines(skolem_N7979, M38_516_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_516_8))))
% 147.12/22.37 -> [12389] ~(unequally_directed_lines(skolem_N7979, M38_516_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_516_8)))
% 147.12/22.37 -> [12390] (left_convergent_lines(skolem_N7979, M38_516_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_516_8)))
% 147.12/22.37
% 147.12/22.37 [12390] BETA_OR : (left_convergent_lines(skolem_N7979, M38_516_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_516_8)))
% 147.12/22.37 -> [12393] left_convergent_lines(skolem_N7979, M38_516_8)
% 147.12/22.37 -> [12394] left_convergent_lines(skolem_N7979, reverse_line(M38_516_8))
% 147.12/22.37
% 147.12/22.37 [12394] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12429] ~(left_apart_point(A39_1012_9, L40_1012_9) | left_apart_point(A39_1012_9, reverse_line(L40_1012_9)))
% 147.12/22.37
% 147.12/22.37 [12429] ALPHA_NOT_OR : ~(left_apart_point(A39_1012_9, L40_1012_9) | left_apart_point(A39_1012_9, reverse_line(L40_1012_9)))
% 147.12/22.37 -> [12430] ~left_apart_point(A39_1012_9, L40_1012_9), ~left_apart_point(A39_1012_9, reverse_line(L40_1012_9))
% 147.12/22.37
% 147.12/22.37 [12430] CLOSURE : ~left_apart_point(A39_1012_9, L40_1012_9)
% 147.12/22.37
% 147.12/22.37 [12393] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12433] ~(left_apart_point(A39_1014_9, L40_1014_9) | left_apart_point(A39_1014_9, reverse_line(L40_1014_9)))
% 147.12/22.37
% 147.12/22.37 [12433] ALPHA_NOT_OR : ~(left_apart_point(A39_1014_9, L40_1014_9) | left_apart_point(A39_1014_9, reverse_line(L40_1014_9)))
% 147.12/22.37 -> [12437] ~left_apart_point(A39_1014_9, L40_1014_9), ~left_apart_point(A39_1014_9, reverse_line(L40_1014_9))
% 147.12/22.37
% 147.12/22.37 [12437] CLOSURE : ~left_apart_point(A39_1014_9, L40_1014_9)
% 147.12/22.37
% 147.12/22.37 [12389] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_516_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_516_8)))
% 147.12/22.37 -> [12414] ~unequally_directed_lines(skolem_N7979, M38_516_8)
% 147.12/22.37 -> [12415] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_516_8))
% 147.12/22.37
% 147.12/22.37 [12415] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_516_8))
% 147.12/22.37
% 147.12/22.37 [12414] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_516_8)
% 147.12/22.37
% 147.12/22.37 [12187] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.37 -> [12194] ~line(skolem_M7878)
% 147.12/22.37 -> [12195] ~line(skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [12194] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [12217] ((unequally_directed_lines(skolem_N7979, M38_504_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_504_8))) => (left_convergent_lines(skolem_N7979, M38_504_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_504_8))))
% 147.12/22.37
% 147.12/22.37 [12217] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_504_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_504_8))) => (left_convergent_lines(skolem_N7979, M38_504_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_504_8))))
% 147.12/22.37 -> [12218] ~(unequally_directed_lines(skolem_N7979, M38_504_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_504_8)))
% 147.12/22.37 -> [12219] (left_convergent_lines(skolem_N7979, M38_504_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_504_8)))
% 147.12/22.37
% 147.12/22.37 [12219] BETA_OR : (left_convergent_lines(skolem_N7979, M38_504_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_504_8)))
% 147.12/22.37 -> [12221] left_convergent_lines(skolem_N7979, M38_504_8)
% 147.12/22.37 -> [12222] left_convergent_lines(skolem_N7979, reverse_line(M38_504_8))
% 147.12/22.37
% 147.12/22.37 [12222] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12349] ~(left_apart_point(A39_1000_9, L40_1000_9) | left_apart_point(A39_1000_9, reverse_line(L40_1000_9)))
% 147.12/22.37
% 147.12/22.37 [12349] ALPHA_NOT_OR : ~(left_apart_point(A39_1000_9, L40_1000_9) | left_apart_point(A39_1000_9, reverse_line(L40_1000_9)))
% 147.12/22.37 -> [12354] ~left_apart_point(A39_1000_9, L40_1000_9), ~left_apart_point(A39_1000_9, reverse_line(L40_1000_9))
% 147.12/22.37
% 147.12/22.37 [12354] CLOSURE : ~left_apart_point(A39_1000_9, L40_1000_9)
% 147.12/22.37
% 147.12/22.37 [12221] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12355] ~(left_apart_point(A39_1001_9, L40_1001_9) | left_apart_point(A39_1001_9, reverse_line(L40_1001_9)))
% 147.12/22.37
% 147.12/22.37 [12355] ALPHA_NOT_OR : ~(left_apart_point(A39_1001_9, L40_1001_9) | left_apart_point(A39_1001_9, reverse_line(L40_1001_9)))
% 147.12/22.37 -> [12358] ~left_apart_point(A39_1001_9, L40_1001_9), ~left_apart_point(A39_1001_9, reverse_line(L40_1001_9))
% 147.12/22.37
% 147.12/22.37 [12358] CLOSURE : ~left_apart_point(A39_1001_9, L40_1001_9)
% 147.12/22.37
% 147.12/22.37 [12218] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_504_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_504_8)))
% 147.12/22.37 -> [12406] ~unequally_directed_lines(skolem_N7979, M38_504_8)
% 147.12/22.37 -> [12407] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_504_8))
% 147.12/22.37
% 147.12/22.37 [12407] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_504_8))
% 147.12/22.37
% 147.12/22.37 [12406] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_504_8)
% 147.12/22.37
% 147.12/22.37 [12195] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [12207] ((unequally_directed_lines(skolem_N7979, M38_502_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_502_8))) => (left_convergent_lines(skolem_N7979, M38_502_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_502_8))))
% 147.12/22.37
% 147.12/22.37 [12207] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_502_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_502_8))) => (left_convergent_lines(skolem_N7979, M38_502_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_502_8))))
% 147.12/22.37 -> [12208] ~(unequally_directed_lines(skolem_N7979, M38_502_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_502_8)))
% 147.12/22.37 -> [12209] (left_convergent_lines(skolem_N7979, M38_502_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_502_8)))
% 147.12/22.37
% 147.12/22.37 [12208] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_502_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_502_8)))
% 147.12/22.37 -> [12391] ~unequally_directed_lines(skolem_N7979, M38_502_8)
% 147.12/22.37 -> [12392] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_502_8))
% 147.12/22.37
% 147.12/22.37 [12392] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_502_8))
% 147.12/22.37
% 147.12/22.37 [12391] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_502_8)
% 147.12/22.37
% 147.12/22.37 [12209] BETA_OR : (left_convergent_lines(skolem_N7979, M38_502_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_502_8)))
% 147.12/22.37 -> [12210] left_convergent_lines(skolem_N7979, M38_502_8)
% 147.12/22.37 -> [12211] left_convergent_lines(skolem_N7979, reverse_line(M38_502_8))
% 147.12/22.37
% 147.12/22.37 [12211] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12424] ~(left_apart_point(A39_1011_9, L40_1011_9) | left_apart_point(A39_1011_9, reverse_line(L40_1011_9)))
% 147.12/22.37
% 147.12/22.37 [12424] ALPHA_NOT_OR : ~(left_apart_point(A39_1011_9, L40_1011_9) | left_apart_point(A39_1011_9, reverse_line(L40_1011_9)))
% 147.12/22.37 -> [12425] ~left_apart_point(A39_1011_9, L40_1011_9), ~left_apart_point(A39_1011_9, reverse_line(L40_1011_9))
% 147.12/22.37
% 147.12/22.37 [12425] CLOSURE : ~left_apart_point(A39_1011_9, L40_1011_9)
% 147.12/22.37
% 147.12/22.37 [12210] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12465] ~(left_apart_point(A39_1019_9, L40_1019_9) | left_apart_point(A39_1019_9, reverse_line(L40_1019_9)))
% 147.12/22.37
% 147.12/22.37 [12465] ALPHA_NOT_OR : ~(left_apart_point(A39_1019_9, L40_1019_9) | left_apart_point(A39_1019_9, reverse_line(L40_1019_9)))
% 147.12/22.37 -> [12469] ~left_apart_point(A39_1019_9, L40_1019_9), ~left_apart_point(A39_1019_9, reverse_line(L40_1019_9))
% 147.12/22.37
% 147.12/22.37 [12469] CLOSURE : ~left_apart_point(A39_1019_9, L40_1019_9)
% 147.12/22.37
% 147.12/22.37 [1066] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.37 -> [1472] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.37
% 147.12/22.37 [1472] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.37 -> [1524] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.12/22.37
% 147.12/22.37 [1524] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.12/22.37 -> [1525] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.37 -> [1526] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.12/22.37
% 147.12/22.37 [1525] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.37
% 147.12/22.37 [1526] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.12/22.37 -> [2227] distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.37 -> [2228] distinct_points(skolem_A8080, skolem_B8181)
% 147.12/22.37
% 147.12/22.37 [2227] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.37
% 147.12/22.37 [2228] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.37 -> [3368] ~distinct_lines(N27_112_3, N27_112_3)
% 147.12/22.37
% 147.12/22.37 [3368] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.37 -> [3470] (distinct_lines(N27_112_3, N27_112_3) => (distinct_lines(N27_112_3, N27_112_3) | distinct_lines(N27_112_3, N27_112_3)))
% 147.12/22.37
% 147.12/22.37 [3470] BETA_IMPLY : (distinct_lines(N27_112_3, N27_112_3) => (distinct_lines(N27_112_3, N27_112_3) | distinct_lines(N27_112_3, N27_112_3)))
% 147.12/22.37 -> [3471] ~distinct_lines(N27_112_3, N27_112_3)
% 147.12/22.37 -> [3472] (distinct_lines(N27_112_3, N27_112_3) | distinct_lines(N27_112_3, N27_112_3))
% 147.12/22.37
% 147.12/22.37 [3472] BETA_OR : (distinct_lines(N27_112_3, N27_112_3) | distinct_lines(N27_112_3, N27_112_3))
% 147.12/22.37 -> [3475] distinct_lines(N27_112_3, N27_112_3)
% 147.12/22.37 -> [3476] distinct_lines(N27_112_3, N27_112_3)
% 147.12/22.37
% 147.12/22.37 [3476] CLOSURE : distinct_lines(N27_112_3, N27_112_3)
% 147.12/22.37
% 147.12/22.37 [3475] CLOSURE : distinct_lines(N27_112_3, N27_112_3)
% 147.12/22.37
% 147.12/22.37 [3471] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.37 -> [3504] ~unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [3504] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.37 -> [3540] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37
% 147.12/22.37 [3540] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37 -> [3541] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [3542] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37
% 147.12/22.37 [3541] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [3542] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [4774] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [4775] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [4775] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [4774] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.37 -> [8133] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))))
% 147.12/22.37
% 147.12/22.37 [8133] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))))
% 147.12/22.37 -> [8137] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [8138] ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.12/22.37
% 147.12/22.37 [8137] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [8152] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [8153] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [8152] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [8153] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [8138] BETA_OR : ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.12/22.37 -> [11126] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.12/22.37 -> [11127] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [11126] ALPHA_AND : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.12/22.37 -> [11154] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.12/22.37
% 147.12/22.37 [11154] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.12/22.37
% 147.12/22.37 [11127] ALPHA_AND : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.12/22.37 -> [11129] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)), unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.12/22.37
% 147.12/22.37 [11129] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.37 -> [11482] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.12/22.37
% 147.12/22.37 [11482] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.12/22.37 -> [11485] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [11486] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37
% 147.12/22.37 [11485] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [11523] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [11524] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [11524] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11751] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [11751] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [11755] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11756] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [11756] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11764] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11765] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11765] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11960] ~(left_apart_point(A39_931_9, L40_931_9) | left_apart_point(A39_931_9, reverse_line(L40_931_9)))
% 147.12/22.37
% 147.12/22.37 [11960] ALPHA_NOT_OR : ~(left_apart_point(A39_931_9, L40_931_9) | left_apart_point(A39_931_9, reverse_line(L40_931_9)))
% 147.12/22.37 -> [11962] ~left_apart_point(A39_931_9, L40_931_9), ~left_apart_point(A39_931_9, reverse_line(L40_931_9))
% 147.12/22.37
% 147.12/22.37 [11962] CLOSURE : ~left_apart_point(A39_931_9, L40_931_9)
% 147.12/22.37
% 147.12/22.37 [11764] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11982] ~(left_apart_point(A39_935_9, L40_935_9) | left_apart_point(A39_935_9, reverse_line(L40_935_9)))
% 147.12/22.37
% 147.12/22.37 [11982] ALPHA_NOT_OR : ~(left_apart_point(A39_935_9, L40_935_9) | left_apart_point(A39_935_9, reverse_line(L40_935_9)))
% 147.12/22.37 -> [11983] ~left_apart_point(A39_935_9, L40_935_9), ~left_apart_point(A39_935_9, reverse_line(L40_935_9))
% 147.12/22.37
% 147.12/22.37 [11983] CLOSURE : ~left_apart_point(A39_935_9, L40_935_9)
% 147.12/22.37
% 147.12/22.37 [11755] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11840] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11841] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11840] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [11841] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11523] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11813] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [11813] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [11817] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11818] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [11817] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11893] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11894] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11894] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11893] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [11818] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11829] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11830] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11830] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12153] ~(left_apart_point(A39_967_9, L40_967_9) | left_apart_point(A39_967_9, reverse_line(L40_967_9)))
% 147.12/22.37
% 147.12/22.37 [12153] ALPHA_NOT_OR : ~(left_apart_point(A39_967_9, L40_967_9) | left_apart_point(A39_967_9, reverse_line(L40_967_9)))
% 147.12/22.37 -> [12154] ~left_apart_point(A39_967_9, L40_967_9), ~left_apart_point(A39_967_9, reverse_line(L40_967_9))
% 147.12/22.37
% 147.12/22.37 [12154] CLOSURE : ~left_apart_point(A39_967_9, L40_967_9)
% 147.12/22.37
% 147.12/22.37 [11829] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12361] ~(left_apart_point(A39_1002_9, L40_1002_9) | left_apart_point(A39_1002_9, reverse_line(L40_1002_9)))
% 147.12/22.37
% 147.12/22.37 [12361] ALPHA_NOT_OR : ~(left_apart_point(A39_1002_9, L40_1002_9) | left_apart_point(A39_1002_9, reverse_line(L40_1002_9)))
% 147.12/22.37 -> [12362] ~left_apart_point(A39_1002_9, L40_1002_9), ~left_apart_point(A39_1002_9, reverse_line(L40_1002_9))
% 147.12/22.37
% 147.12/22.37 [12362] CLOSURE : ~left_apart_point(A39_1002_9, L40_1002_9)
% 147.12/22.37
% 147.12/22.37 [11486] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.12/22.37 -> [11488] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [11489] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37
% 147.12/22.37 [11488] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [11489] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [12179] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [12179] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [12180] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [12181] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [12181] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [12185] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [12186] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [12185] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12229] ~(left_apart_point(A39_983_9, L40_983_9) | left_apart_point(A39_983_9, reverse_line(L40_983_9)))
% 147.12/22.37
% 147.12/22.37 [12229] ALPHA_NOT_OR : ~(left_apart_point(A39_983_9, L40_983_9) | left_apart_point(A39_983_9, reverse_line(L40_983_9)))
% 147.12/22.37 -> [12253] ~left_apart_point(A39_983_9, L40_983_9), ~left_apart_point(A39_983_9, reverse_line(L40_983_9))
% 147.12/22.37
% 147.12/22.37 [12253] CLOSURE : ~left_apart_point(A39_983_9, L40_983_9)
% 147.12/22.37
% 147.12/22.37 [12186] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12366] ~(left_apart_point(A39_1003_9, L40_1003_9) | left_apart_point(A39_1003_9, reverse_line(L40_1003_9)))
% 147.12/22.37
% 147.12/22.37 [12366] ALPHA_NOT_OR : ~(left_apart_point(A39_1003_9, L40_1003_9) | left_apart_point(A39_1003_9, reverse_line(L40_1003_9)))
% 147.12/22.37 -> [12369] ~left_apart_point(A39_1003_9, L40_1003_9), ~left_apart_point(A39_1003_9, reverse_line(L40_1003_9))
% 147.12/22.37
% 147.12/22.37 [12369] CLOSURE : ~left_apart_point(A39_1003_9, L40_1003_9)
% 147.12/22.37
% 147.12/22.37 [12180] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [12199] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [12200] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [12199] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [12200] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [234] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.12/22.37 -> [270] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [271] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [270] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.12/22.37 -> [312] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [313] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [312] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [353] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.37 -> [354] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [354] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [359] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [359] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [361] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.37 -> [362] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [361] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [465] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.37 -> [466] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [465] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [466] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [362] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [1070] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [1070] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [1073] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.37 -> [1074] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [1073] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [1074] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [353] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [591] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.37 -> [592] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [592] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [595] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [595] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [621] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.37 -> [622] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [621] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [622] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [591] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.37 -> [616] ~distinct_points(A20_20_0, A20_20_0)
% 147.12/22.37
% 147.12/22.37 [616] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.37 -> [630] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37
% 147.12/22.37 [630] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.37 -> [634] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.37 -> [635] (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37
% 147.12/22.37 [634] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.37
% 147.12/22.37 [635] BETA_OR : (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.37 -> [1559] distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.37 -> [1560] distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.37
% 147.12/22.37 [1559] CLOSURE : distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.37
% 147.12/22.37 [1560] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.37 -> [2040] ~distinct_lines(L25_54_3, L25_54_3)
% 147.12/22.37
% 147.12/22.37 [2040] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.37 -> [2242] (distinct_lines(L25_54_3, L25_54_3) => (distinct_lines(L25_54_3, L25_54_3) | distinct_lines(L25_54_3, L25_54_3)))
% 147.12/22.37
% 147.12/22.37 [2242] BETA_IMPLY : (distinct_lines(L25_54_3, L25_54_3) => (distinct_lines(L25_54_3, L25_54_3) | distinct_lines(L25_54_3, L25_54_3)))
% 147.12/22.37 -> [2243] ~distinct_lines(L25_54_3, L25_54_3)
% 147.12/22.37 -> [2244] (distinct_lines(L25_54_3, L25_54_3) | distinct_lines(L25_54_3, L25_54_3))
% 147.12/22.37
% 147.12/22.37 [2244] BETA_OR : (distinct_lines(L25_54_3, L25_54_3) | distinct_lines(L25_54_3, L25_54_3))
% 147.12/22.37 -> [2250] distinct_lines(L25_54_3, L25_54_3)
% 147.12/22.37 -> [2251] distinct_lines(L25_54_3, L25_54_3)
% 147.12/22.37
% 147.12/22.37 [2251] CLOSURE : distinct_lines(L25_54_3, L25_54_3)
% 147.12/22.37
% 147.12/22.37 [2250] CLOSURE : distinct_lines(L25_54_3, L25_54_3)
% 147.12/22.37
% 147.12/22.37 [2243] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.37 -> [2312] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [2312] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.37 -> [2379] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.37
% 147.12/22.37 [2379] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.37 -> [2380] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37 -> [2381] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.37
% 147.12/22.37 [2380] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [2381] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.37 -> [4617] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37 -> [4618] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [4618] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [4617] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.37 -> [6443] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_88_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_88_6))) | (unequally_directed_lines(skolem_N7979, N34_88_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_88_6)))))
% 147.12/22.37
% 147.12/22.37 [6443] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_88_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_88_6))) | (unequally_directed_lines(skolem_N7979, N34_88_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_88_6)))))
% 147.12/22.37 -> [6449] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [6450] ((unequally_directed_lines(skolem_M7878, N34_88_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_88_6))) | (unequally_directed_lines(skolem_N7979, N34_88_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_88_6))))
% 147.12/22.37
% 147.12/22.37 [6449] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [6465] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37 -> [6466] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [6466] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [6465] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37
% 147.12/22.37 [6450] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_88_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_88_6))) | (unequally_directed_lines(skolem_N7979, N34_88_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_88_6))))
% 147.12/22.37 -> [6527] (unequally_directed_lines(skolem_M7878, N34_88_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_88_6)))
% 147.12/22.37 -> [6528] (unequally_directed_lines(skolem_N7979, N34_88_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_88_6)))
% 147.12/22.37
% 147.12/22.37 [6528] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_88_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_88_6)))
% 147.12/22.37 -> [6532] unequally_directed_lines(skolem_N7979, N34_88_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_88_6))
% 147.12/22.37
% 147.12/22.37 [6532] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.37 -> [6560] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.12/22.37
% 147.12/22.37 [6560] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.12/22.37 -> [6564] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.37 -> [6565] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.12/22.37
% 147.12/22.37 [6564] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.37 -> [6586] ~line(skolem_L7777)
% 147.12/22.37 -> [6587] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.37
% 147.12/22.37 [6586] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [6648] ((unequally_directed_lines(skolem_N7979, M38_161_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_161_8))) => (left_convergent_lines(skolem_N7979, M38_161_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_161_8))))
% 147.12/22.37
% 147.12/22.37 [6648] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_161_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_161_8))) => (left_convergent_lines(skolem_N7979, M38_161_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_161_8))))
% 147.12/22.37 -> [6654] ~(unequally_directed_lines(skolem_N7979, M38_161_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_161_8)))
% 147.12/22.37 -> [6655] (left_convergent_lines(skolem_N7979, M38_161_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_161_8)))
% 147.12/22.37
% 147.12/22.37 [6654] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_161_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_161_8)))
% 147.12/22.37 -> [6730] ~unequally_directed_lines(skolem_N7979, M38_161_8)
% 147.12/22.37 -> [6731] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_161_8))
% 147.12/22.37
% 147.12/22.37 [6731] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_161_8))
% 147.12/22.37
% 147.12/22.37 [6730] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_161_8)
% 147.12/22.37
% 147.12/22.37 [6655] BETA_OR : (left_convergent_lines(skolem_N7979, M38_161_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_161_8)))
% 147.12/22.37 -> [6666] left_convergent_lines(skolem_N7979, M38_161_8)
% 147.12/22.37 -> [6667] left_convergent_lines(skolem_N7979, reverse_line(M38_161_8))
% 147.12/22.37
% 147.12/22.37 [6666] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [6827] ~(left_apart_point(A39_284_9, L40_284_9) | left_apart_point(A39_284_9, reverse_line(L40_284_9)))
% 147.12/22.37
% 147.12/22.37 [6827] ALPHA_NOT_OR : ~(left_apart_point(A39_284_9, L40_284_9) | left_apart_point(A39_284_9, reverse_line(L40_284_9)))
% 147.12/22.37 -> [6829] ~left_apart_point(A39_284_9, L40_284_9), ~left_apart_point(A39_284_9, reverse_line(L40_284_9))
% 147.12/22.37
% 147.12/22.37 [6829] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [7109] ~(left_convergent_lines(L41_74_10, M42_74_10) | left_convergent_lines(L41_74_10, reverse_line(M42_74_10)))
% 147.12/22.37
% 147.12/22.37 [7109] ALPHA_NOT_OR : ~(left_convergent_lines(L41_74_10, M42_74_10) | left_convergent_lines(L41_74_10, reverse_line(M42_74_10)))
% 147.12/22.37 -> [7111] ~left_convergent_lines(L41_74_10, M42_74_10), ~left_convergent_lines(L41_74_10, reverse_line(M42_74_10))
% 147.12/22.37
% 147.12/22.37 [7111] CLOSURE : ~left_convergent_lines(L41_74_10, M42_74_10)
% 147.12/22.37
% 147.12/22.37 [6667] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [7002] ~(left_apart_point(A39_313_9, L40_313_9) | left_apart_point(A39_313_9, reverse_line(L40_313_9)))
% 147.12/22.37
% 147.12/22.37 [7002] ALPHA_NOT_OR : ~(left_apart_point(A39_313_9, L40_313_9) | left_apart_point(A39_313_9, reverse_line(L40_313_9)))
% 147.12/22.37 -> [7003] ~left_apart_point(A39_313_9, L40_313_9), ~left_apart_point(A39_313_9, reverse_line(L40_313_9))
% 147.12/22.37
% 147.12/22.37 [7003] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [7142] ~(left_convergent_lines(L41_79_10, M42_79_10) | left_convergent_lines(L41_79_10, reverse_line(M42_79_10)))
% 147.12/22.37
% 147.12/22.37 [7142] ALPHA_NOT_OR : ~(left_convergent_lines(L41_79_10, M42_79_10) | left_convergent_lines(L41_79_10, reverse_line(M42_79_10)))
% 147.12/22.37 -> [7146] ~left_convergent_lines(L41_79_10, M42_79_10), ~left_convergent_lines(L41_79_10, reverse_line(M42_79_10))
% 147.12/22.37
% 147.12/22.37 [7146] CLOSURE : ~left_convergent_lines(L41_79_10, M42_79_10)
% 147.12/22.37
% 147.12/22.37 [6587] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [6619] ((unequally_directed_lines(skolem_N7979, M38_156_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_156_8))) => (left_convergent_lines(skolem_N7979, M38_156_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_156_8))))
% 147.12/22.37
% 147.12/22.37 [6619] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_156_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_156_8))) => (left_convergent_lines(skolem_N7979, M38_156_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_156_8))))
% 147.12/22.37 -> [6620] ~(unequally_directed_lines(skolem_N7979, M38_156_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_156_8)))
% 147.12/22.37 -> [6621] (left_convergent_lines(skolem_N7979, M38_156_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_156_8)))
% 147.12/22.37
% 147.12/22.37 [6621] BETA_OR : (left_convergent_lines(skolem_N7979, M38_156_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_156_8)))
% 147.12/22.37 -> [6623] left_convergent_lines(skolem_N7979, M38_156_8)
% 147.12/22.37 -> [6624] left_convergent_lines(skolem_N7979, reverse_line(M38_156_8))
% 147.12/22.37
% 147.12/22.37 [6623] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [6802] ~(left_apart_point(A39_275_9, L40_275_9) | left_apart_point(A39_275_9, reverse_line(L40_275_9)))
% 147.12/22.37
% 147.12/22.37 [6802] ALPHA_NOT_OR : ~(left_apart_point(A39_275_9, L40_275_9) | left_apart_point(A39_275_9, reverse_line(L40_275_9)))
% 147.12/22.37 -> [6804] ~left_apart_point(A39_275_9, L40_275_9), ~left_apart_point(A39_275_9, reverse_line(L40_275_9))
% 147.12/22.37
% 147.12/22.37 [6804] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [6902] ~(left_convergent_lines(L41_59_10, M42_59_10) | left_convergent_lines(L41_59_10, reverse_line(M42_59_10)))
% 147.12/22.37
% 147.12/22.37 [6902] ALPHA_NOT_OR : ~(left_convergent_lines(L41_59_10, M42_59_10) | left_convergent_lines(L41_59_10, reverse_line(M42_59_10)))
% 147.12/22.37 -> [6904] ~left_convergent_lines(L41_59_10, M42_59_10), ~left_convergent_lines(L41_59_10, reverse_line(M42_59_10))
% 147.12/22.37
% 147.12/22.37 [6904] CLOSURE : ~left_convergent_lines(L41_59_10, M42_59_10)
% 147.12/22.37
% 147.12/22.37 [6624] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [6805] ~(left_apart_point(A39_276_9, L40_276_9) | left_apart_point(A39_276_9, reverse_line(L40_276_9)))
% 147.12/22.37
% 147.12/22.37 [6805] ALPHA_NOT_OR : ~(left_apart_point(A39_276_9, L40_276_9) | left_apart_point(A39_276_9, reverse_line(L40_276_9)))
% 147.12/22.37 -> [6808] ~left_apart_point(A39_276_9, L40_276_9), ~left_apart_point(A39_276_9, reverse_line(L40_276_9))
% 147.12/22.37
% 147.12/22.37 [6808] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [6908] ~(left_convergent_lines(L41_60_10, M42_60_10) | left_convergent_lines(L41_60_10, reverse_line(M42_60_10)))
% 147.12/22.37
% 147.12/22.37 [6908] ALPHA_NOT_OR : ~(left_convergent_lines(L41_60_10, M42_60_10) | left_convergent_lines(L41_60_10, reverse_line(M42_60_10)))
% 147.12/22.37 -> [6911] ~left_convergent_lines(L41_60_10, M42_60_10), ~left_convergent_lines(L41_60_10, reverse_line(M42_60_10))
% 147.12/22.37
% 147.12/22.37 [6911] CLOSURE : ~left_convergent_lines(L41_60_10, M42_60_10)
% 147.12/22.37
% 147.12/22.37 [6620] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_156_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_156_8)))
% 147.12/22.37 -> [6675] ~unequally_directed_lines(skolem_N7979, M38_156_8)
% 147.12/22.37 -> [6676] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_156_8))
% 147.12/22.37
% 147.12/22.37 [6675] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_156_8)
% 147.12/22.37
% 147.12/22.37 [6676] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_156_8))
% 147.12/22.37
% 147.12/22.37 [6565] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.12/22.37 -> [6568] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.37 -> [6569] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.37
% 147.12/22.37 [6568] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.37
% 147.12/22.37 [6569] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [7957] ((unequally_directed_lines(skolem_N7979, M38_240_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_240_8))) => (left_convergent_lines(skolem_N7979, M38_240_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_240_8))))
% 147.12/22.37
% 147.12/22.37 [7957] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_240_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_240_8))) => (left_convergent_lines(skolem_N7979, M38_240_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_240_8))))
% 147.12/22.37 -> [7959] ~(unequally_directed_lines(skolem_N7979, M38_240_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_240_8)))
% 147.12/22.37 -> [7960] (left_convergent_lines(skolem_N7979, M38_240_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_240_8)))
% 147.12/22.37
% 147.12/22.37 [7959] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_240_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_240_8)))
% 147.12/22.37 -> [7974] ~unequally_directed_lines(skolem_N7979, M38_240_8)
% 147.12/22.37 -> [7975] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_240_8))
% 147.12/22.37
% 147.12/22.37 [7975] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_240_8))
% 147.12/22.37
% 147.12/22.37 [7974] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_240_8)
% 147.12/22.37
% 147.12/22.37 [7960] BETA_OR : (left_convergent_lines(skolem_N7979, M38_240_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_240_8)))
% 147.12/22.37 -> [7963] left_convergent_lines(skolem_N7979, M38_240_8)
% 147.12/22.37 -> [7964] left_convergent_lines(skolem_N7979, reverse_line(M38_240_8))
% 147.12/22.37
% 147.12/22.37 [7964] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [7992] ~(left_apart_point(A39_431_9, L40_431_9) | left_apart_point(A39_431_9, reverse_line(L40_431_9)))
% 147.12/22.37
% 147.12/22.37 [7992] ALPHA_NOT_OR : ~(left_apart_point(A39_431_9, L40_431_9) | left_apart_point(A39_431_9, reverse_line(L40_431_9)))
% 147.12/22.37 -> [7995] ~left_apart_point(A39_431_9, L40_431_9), ~left_apart_point(A39_431_9, reverse_line(L40_431_9))
% 147.12/22.37
% 147.12/22.37 [7995] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [8056] ~(left_convergent_lines(L41_105_10, M42_105_10) | left_convergent_lines(L41_105_10, reverse_line(M42_105_10)))
% 147.12/22.37
% 147.12/22.37 [8056] ALPHA_NOT_OR : ~(left_convergent_lines(L41_105_10, M42_105_10) | left_convergent_lines(L41_105_10, reverse_line(M42_105_10)))
% 147.12/22.37 -> [8060] ~left_convergent_lines(L41_105_10, M42_105_10), ~left_convergent_lines(L41_105_10, reverse_line(M42_105_10))
% 147.12/22.37
% 147.12/22.37 [8060] CLOSURE : ~left_convergent_lines(L41_105_10, M42_105_10)
% 147.12/22.37
% 147.12/22.37 [7963] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [8011] ~(left_apart_point(A39_432_9, L40_432_9) | left_apart_point(A39_432_9, reverse_line(L40_432_9)))
% 147.12/22.37
% 147.12/22.37 [8011] ALPHA_NOT_OR : ~(left_apart_point(A39_432_9, L40_432_9) | left_apart_point(A39_432_9, reverse_line(L40_432_9)))
% 147.12/22.37 -> [8014] ~left_apart_point(A39_432_9, L40_432_9), ~left_apart_point(A39_432_9, reverse_line(L40_432_9))
% 147.12/22.37
% 147.12/22.37 [8014] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [8069] ~(left_convergent_lines(L41_106_10, M42_106_10) | left_convergent_lines(L41_106_10, reverse_line(M42_106_10)))
% 147.12/22.37
% 147.12/22.37 [8069] ALPHA_NOT_OR : ~(left_convergent_lines(L41_106_10, M42_106_10) | left_convergent_lines(L41_106_10, reverse_line(M42_106_10)))
% 147.12/22.37 -> [8070] ~left_convergent_lines(L41_106_10, M42_106_10), ~left_convergent_lines(L41_106_10, reverse_line(M42_106_10))
% 147.12/22.37
% 147.12/22.37 [8070] CLOSURE : ~left_convergent_lines(L41_106_10, M42_106_10)
% 147.12/22.37
% 147.12/22.37 [6527] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_88_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_88_6)))
% 147.12/22.37 -> [6545] unequally_directed_lines(skolem_M7878, N34_88_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_88_6))
% 147.12/22.37
% 147.12/22.37 [6545] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.37 -> [6572] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.37
% 147.12/22.37 [6572] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.37 -> [6573] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.37 -> [6574] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.37
% 147.12/22.37 [6573] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.37 -> [6591] ~line(reverse_line(skolem_N7979))
% 147.12/22.37 -> [6592] ~line(skolem_N7979)
% 147.12/22.37
% 147.12/22.37 [6591] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [6689] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [6689] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [6692] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [6693] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [6692] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [6755] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [6756] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [6755] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [6756] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [6693] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [6698] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [6699] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [6698] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [6834] ~(left_apart_point(A39_286_9, L40_286_9) | left_apart_point(A39_286_9, reverse_line(L40_286_9)))
% 147.12/22.37
% 147.12/22.37 [6834] ALPHA_NOT_OR : ~(left_apart_point(A39_286_9, L40_286_9) | left_apart_point(A39_286_9, reverse_line(L40_286_9)))
% 147.12/22.37 -> [6835] ~left_apart_point(A39_286_9, L40_286_9), ~left_apart_point(A39_286_9, reverse_line(L40_286_9))
% 147.12/22.37
% 147.12/22.37 [6835] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [6916] ~(left_convergent_lines(L41_61_10, M42_61_10) | left_convergent_lines(L41_61_10, reverse_line(M42_61_10)))
% 147.12/22.37
% 147.12/22.37 [6916] ALPHA_NOT_OR : ~(left_convergent_lines(L41_61_10, M42_61_10) | left_convergent_lines(L41_61_10, reverse_line(M42_61_10)))
% 147.12/22.37 -> [6918] ~left_convergent_lines(L41_61_10, M42_61_10), ~left_convergent_lines(L41_61_10, reverse_line(M42_61_10))
% 147.12/22.37
% 147.12/22.37 [6918] CLOSURE : ~left_convergent_lines(L41_61_10, M42_61_10)
% 147.12/22.37
% 147.12/22.37 [6699] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [6817] ~(left_apart_point(A39_280_9, L40_280_9) | left_apart_point(A39_280_9, reverse_line(L40_280_9)))
% 147.12/22.37
% 147.12/22.37 [6817] ALPHA_NOT_OR : ~(left_apart_point(A39_280_9, L40_280_9) | left_apart_point(A39_280_9, reverse_line(L40_280_9)))
% 147.12/22.37 -> [6820] ~left_apart_point(A39_280_9, L40_280_9), ~left_apart_point(A39_280_9, reverse_line(L40_280_9))
% 147.12/22.37
% 147.12/22.37 [6820] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [6925] ~(left_convergent_lines(L41_62_10, M42_62_10) | left_convergent_lines(L41_62_10, reverse_line(M42_62_10)))
% 147.12/22.37
% 147.12/22.37 [6925] ALPHA_NOT_OR : ~(left_convergent_lines(L41_62_10, M42_62_10) | left_convergent_lines(L41_62_10, reverse_line(M42_62_10)))
% 147.12/22.37 -> [6926] ~left_convergent_lines(L41_62_10, M42_62_10), ~left_convergent_lines(L41_62_10, reverse_line(M42_62_10))
% 147.12/22.37
% 147.12/22.37 [6926] CLOSURE : ~left_convergent_lines(L41_62_10, M42_62_10)
% 147.12/22.37
% 147.12/22.37 [6592] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [6633] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [6633] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [6634] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [6635] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [6634] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [6708] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [6709] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [6709] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [6708] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [6635] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [6638] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [6639] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [6638] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [6823] ~(left_apart_point(A39_282_9, L40_282_9) | left_apart_point(A39_282_9, reverse_line(L40_282_9)))
% 147.12/22.37
% 147.12/22.37 [6823] ALPHA_NOT_OR : ~(left_apart_point(A39_282_9, L40_282_9) | left_apart_point(A39_282_9, reverse_line(L40_282_9)))
% 147.12/22.37 -> [6825] ~left_apart_point(A39_282_9, L40_282_9), ~left_apart_point(A39_282_9, reverse_line(L40_282_9))
% 147.12/22.37
% 147.12/22.37 [6825] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [6932] ~(left_convergent_lines(L41_63_10, M42_63_10) | left_convergent_lines(L41_63_10, reverse_line(M42_63_10)))
% 147.12/22.37
% 147.12/22.37 [6932] ALPHA_NOT_OR : ~(left_convergent_lines(L41_63_10, M42_63_10) | left_convergent_lines(L41_63_10, reverse_line(M42_63_10)))
% 147.12/22.37 -> [6933] ~left_convergent_lines(L41_63_10, M42_63_10), ~left_convergent_lines(L41_63_10, reverse_line(M42_63_10))
% 147.12/22.37
% 147.12/22.37 [6933] CLOSURE : ~left_convergent_lines(L41_63_10, M42_63_10)
% 147.12/22.37
% 147.12/22.37 [6639] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [6787] ~(left_apart_point(A39_271_9, L40_271_9) | left_apart_point(A39_271_9, reverse_line(L40_271_9)))
% 147.12/22.37
% 147.12/22.37 [6787] ALPHA_NOT_OR : ~(left_apart_point(A39_271_9, L40_271_9) | left_apart_point(A39_271_9, reverse_line(L40_271_9)))
% 147.12/22.37 -> [6791] ~left_apart_point(A39_271_9, L40_271_9), ~left_apart_point(A39_271_9, reverse_line(L40_271_9))
% 147.12/22.37
% 147.12/22.37 [6791] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [6894] ~(left_convergent_lines(L41_58_10, M42_58_10) | left_convergent_lines(L41_58_10, reverse_line(M42_58_10)))
% 147.12/22.37
% 147.12/22.37 [6894] ALPHA_NOT_OR : ~(left_convergent_lines(L41_58_10, M42_58_10) | left_convergent_lines(L41_58_10, reverse_line(M42_58_10)))
% 147.12/22.37 -> [6898] ~left_convergent_lines(L41_58_10, M42_58_10), ~left_convergent_lines(L41_58_10, reverse_line(M42_58_10))
% 147.12/22.37
% 147.12/22.37 [6898] CLOSURE : ~left_convergent_lines(L41_58_10, M42_58_10)
% 147.12/22.37
% 147.12/22.37 [6574] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.37 -> [6577] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.12/22.37 -> [6578] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [6578] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [6577] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [8675] ((unequally_directed_lines(skolem_M7878, M38_274_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_274_8))) => (left_convergent_lines(skolem_M7878, M38_274_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_274_8))))
% 147.12/22.37
% 147.12/22.37 [8675] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_274_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_274_8))) => (left_convergent_lines(skolem_M7878, M38_274_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_274_8))))
% 147.12/22.37 -> [8677] ~(unequally_directed_lines(skolem_M7878, M38_274_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_274_8)))
% 147.12/22.37 -> [8678] (left_convergent_lines(skolem_M7878, M38_274_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_274_8)))
% 147.12/22.37
% 147.12/22.37 [8677] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_274_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_274_8)))
% 147.12/22.37 -> [8710] ~unequally_directed_lines(skolem_M7878, M38_274_8)
% 147.12/22.37 -> [8711] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_274_8))
% 147.12/22.37
% 147.12/22.37 [8711] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_274_8))
% 147.12/22.37
% 147.12/22.37 [8710] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_274_8)
% 147.12/22.37
% 147.12/22.37 [8678] BETA_OR : (left_convergent_lines(skolem_M7878, M38_274_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_274_8)))
% 147.12/22.37 -> [8681] left_convergent_lines(skolem_M7878, M38_274_8)
% 147.12/22.37 -> [8682] left_convergent_lines(skolem_M7878, reverse_line(M38_274_8))
% 147.12/22.37
% 147.12/22.37 [8681] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [8912] ~(left_apart_point(A39_550_9, L40_550_9) | left_apart_point(A39_550_9, reverse_line(L40_550_9)))
% 147.12/22.37
% 147.12/22.37 [8912] ALPHA_NOT_OR : ~(left_apart_point(A39_550_9, L40_550_9) | left_apart_point(A39_550_9, reverse_line(L40_550_9)))
% 147.12/22.37 -> [8913] ~left_apart_point(A39_550_9, L40_550_9), ~left_apart_point(A39_550_9, reverse_line(L40_550_9))
% 147.12/22.37
% 147.12/22.37 [8913] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [9281] ~(left_convergent_lines(L41_177_10, M42_177_10) | left_convergent_lines(L41_177_10, reverse_line(M42_177_10)))
% 147.12/22.37
% 147.12/22.37 [9281] ALPHA_NOT_OR : ~(left_convergent_lines(L41_177_10, M42_177_10) | left_convergent_lines(L41_177_10, reverse_line(M42_177_10)))
% 147.12/22.37 -> [9285] ~left_convergent_lines(L41_177_10, M42_177_10), ~left_convergent_lines(L41_177_10, reverse_line(M42_177_10))
% 147.12/22.37
% 147.12/22.37 [9285] CLOSURE : ~left_convergent_lines(L41_177_10, M42_177_10)
% 147.12/22.37
% 147.12/22.37 [8682] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [8914] ~(left_apart_point(A39_551_9, L40_551_9) | left_apart_point(A39_551_9, reverse_line(L40_551_9)))
% 147.12/22.37
% 147.12/22.37 [8914] ALPHA_NOT_OR : ~(left_apart_point(A39_551_9, L40_551_9) | left_apart_point(A39_551_9, reverse_line(L40_551_9)))
% 147.12/22.37 -> [8918] ~left_apart_point(A39_551_9, L40_551_9), ~left_apart_point(A39_551_9, reverse_line(L40_551_9))
% 147.12/22.37
% 147.12/22.37 [8918] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.37 -> [9291] ~(left_convergent_lines(L41_178_10, M42_178_10) | left_convergent_lines(L41_178_10, reverse_line(M42_178_10)))
% 147.12/22.37
% 147.12/22.37 [9291] ALPHA_NOT_OR : ~(left_convergent_lines(L41_178_10, M42_178_10) | left_convergent_lines(L41_178_10, reverse_line(M42_178_10)))
% 147.12/22.37 -> [9295] ~left_convergent_lines(L41_178_10, M42_178_10), ~left_convergent_lines(L41_178_10, reverse_line(M42_178_10))
% 147.12/22.37
% 147.12/22.37 [9295] CLOSURE : ~left_convergent_lines(L41_178_10, M42_178_10)
% 147.12/22.37
% 147.12/22.37 [313] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.37 -> [326] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [326] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [333] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.37 -> [334] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [334] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [341] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [341] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.37 -> [344] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.12/22.37 -> [345] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [345] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [379] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.37 -> [380] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [379] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [380] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [344] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [808] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.37 -> [809] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [809] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [808] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [333] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.37 -> [878] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.12/22.37 -> [879] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [879] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.37 -> [944] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.37
% 147.12/22.37 [944] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.37 -> [1367] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.12/22.37
% 147.12/22.37 [1367] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.12/22.37 -> [1370] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.37 -> [1371] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.12/22.37
% 147.12/22.37 [1370] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.37
% 147.12/22.37 [1371] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.12/22.37 -> [1781] distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.37 -> [1782] distinct_points(skolem_A8080, skolem_B8181)
% 147.12/22.37
% 147.12/22.37 [1781] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.37
% 147.12/22.37 [1782] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.37 -> [2448] ~distinct_lines(N27_64_3, N27_64_3)
% 147.12/22.37
% 147.12/22.37 [2448] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.37 -> [2465] (distinct_lines(N27_64_3, N27_64_3) => (distinct_lines(N27_64_3, N27_64_3) | distinct_lines(N27_64_3, N27_64_3)))
% 147.12/22.37
% 147.12/22.37 [2465] BETA_IMPLY : (distinct_lines(N27_64_3, N27_64_3) => (distinct_lines(N27_64_3, N27_64_3) | distinct_lines(N27_64_3, N27_64_3)))
% 147.12/22.37 -> [2466] ~distinct_lines(N27_64_3, N27_64_3)
% 147.12/22.37 -> [2467] (distinct_lines(N27_64_3, N27_64_3) | distinct_lines(N27_64_3, N27_64_3))
% 147.12/22.37
% 147.12/22.37 [2467] BETA_OR : (distinct_lines(N27_64_3, N27_64_3) | distinct_lines(N27_64_3, N27_64_3))
% 147.12/22.37 -> [2468] distinct_lines(N27_64_3, N27_64_3)
% 147.12/22.37 -> [2469] distinct_lines(N27_64_3, N27_64_3)
% 147.12/22.37
% 147.12/22.37 [2468] CLOSURE : distinct_lines(N27_64_3, N27_64_3)
% 147.12/22.37
% 147.12/22.37 [2469] CLOSURE : distinct_lines(N27_64_3, N27_64_3)
% 147.12/22.37
% 147.12/22.37 [2466] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.37 -> [2510] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [2510] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.37 -> [2574] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [2574] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.12/22.37 -> [2575] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37 -> [2576] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [2575] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [2576] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.12/22.37 -> [3660] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37 -> [3661] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [3660] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [3661] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.37 -> [3951] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.37
% 147.12/22.37 [3951] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.37 -> [3953] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [3954] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [3953] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [3970] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37 -> [3971] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [3971] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [3970] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37
% 147.12/22.37 [3954] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [4176] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [4177] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [4176] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [4181] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [4181] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [4177] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [4180] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [4180] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.37 -> [4190] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [4190] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [4191] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.37 -> [4192] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [4192] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [4193] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37 -> [4194] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [4193] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [4194] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [4224] ((unequally_directed_lines(skolem_N7979, M38_38_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_38_8))) => (left_convergent_lines(skolem_N7979, M38_38_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_38_8))))
% 147.12/22.37
% 147.12/22.37 [4224] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_38_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_38_8))) => (left_convergent_lines(skolem_N7979, M38_38_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_38_8))))
% 147.12/22.37 -> [4228] ~(unequally_directed_lines(skolem_N7979, M38_38_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_38_8)))
% 147.12/22.37 -> [4229] (left_convergent_lines(skolem_N7979, M38_38_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_38_8)))
% 147.12/22.37
% 147.12/22.37 [4229] BETA_OR : (left_convergent_lines(skolem_N7979, M38_38_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_38_8)))
% 147.12/22.37 -> [4263] left_convergent_lines(skolem_N7979, M38_38_8)
% 147.12/22.37 -> [4264] left_convergent_lines(skolem_N7979, reverse_line(M38_38_8))
% 147.12/22.37
% 147.12/22.37 [4264] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [4364] ~(left_apart_point(A39_73_9, L40_73_9) | left_apart_point(A39_73_9, reverse_line(L40_73_9)))
% 147.12/22.37
% 147.12/22.37 [4364] ALPHA_NOT_OR : ~(left_apart_point(A39_73_9, L40_73_9) | left_apart_point(A39_73_9, reverse_line(L40_73_9)))
% 147.12/22.37 -> [4365] ~left_apart_point(A39_73_9, L40_73_9), ~left_apart_point(A39_73_9, reverse_line(L40_73_9))
% 147.12/22.37
% 147.12/22.37 [4365] CLOSURE : ~left_apart_point(A39_73_9, L40_73_9)
% 147.12/22.37
% 147.12/22.37 [4263] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [4378] ~(left_apart_point(A39_75_9, L40_75_9) | left_apart_point(A39_75_9, reverse_line(L40_75_9)))
% 147.12/22.37
% 147.12/22.37 [4378] ALPHA_NOT_OR : ~(left_apart_point(A39_75_9, L40_75_9) | left_apart_point(A39_75_9, reverse_line(L40_75_9)))
% 147.12/22.37 -> [4379] ~left_apart_point(A39_75_9, L40_75_9), ~left_apart_point(A39_75_9, reverse_line(L40_75_9))
% 147.12/22.37
% 147.12/22.37 [4379] CLOSURE : ~left_apart_point(A39_75_9, L40_75_9)
% 147.12/22.37
% 147.12/22.37 [4228] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_38_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_38_8)))
% 147.12/22.37 -> [4290] ~unequally_directed_lines(skolem_N7979, M38_38_8)
% 147.12/22.37 -> [4291] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_38_8))
% 147.12/22.37
% 147.12/22.37 [4291] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_38_8))
% 147.12/22.37
% 147.12/22.37 [4290] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_38_8)
% 147.12/22.37
% 147.12/22.37 [4191] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.37 -> [4195] ~line(skolem_M7878)
% 147.12/22.37 -> [4196] ~line(skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [4195] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [4301] ((unequally_directed_lines(skolem_N7979, M38_40_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_40_8))) => (left_convergent_lines(skolem_N7979, M38_40_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_40_8))))
% 147.12/22.37
% 147.12/22.37 [4301] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_40_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_40_8))) => (left_convergent_lines(skolem_N7979, M38_40_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_40_8))))
% 147.12/22.37 -> [4302] ~(unequally_directed_lines(skolem_N7979, M38_40_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_40_8)))
% 147.12/22.37 -> [4303] (left_convergent_lines(skolem_N7979, M38_40_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_40_8)))
% 147.12/22.37
% 147.12/22.37 [4302] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_40_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_40_8)))
% 147.12/22.37 -> [4325] ~unequally_directed_lines(skolem_N7979, M38_40_8)
% 147.12/22.37 -> [4326] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_40_8))
% 147.12/22.37
% 147.12/22.37 [4326] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_40_8))
% 147.12/22.37
% 147.12/22.37 [4325] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_40_8)
% 147.12/22.37
% 147.12/22.37 [4303] BETA_OR : (left_convergent_lines(skolem_N7979, M38_40_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_40_8)))
% 147.12/22.37 -> [4306] left_convergent_lines(skolem_N7979, M38_40_8)
% 147.12/22.37 -> [4307] left_convergent_lines(skolem_N7979, reverse_line(M38_40_8))
% 147.12/22.37
% 147.12/22.37 [4307] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [4387] ~(left_apart_point(A39_76_9, L40_76_9) | left_apart_point(A39_76_9, reverse_line(L40_76_9)))
% 147.12/22.37
% 147.12/22.37 [4387] ALPHA_NOT_OR : ~(left_apart_point(A39_76_9, L40_76_9) | left_apart_point(A39_76_9, reverse_line(L40_76_9)))
% 147.12/22.37 -> [4389] ~left_apart_point(A39_76_9, L40_76_9), ~left_apart_point(A39_76_9, reverse_line(L40_76_9))
% 147.12/22.37
% 147.12/22.37 [4389] CLOSURE : ~left_apart_point(A39_76_9, L40_76_9)
% 147.12/22.37
% 147.12/22.37 [4306] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [4425] ~(left_apart_point(A39_78_9, L40_78_9) | left_apart_point(A39_78_9, reverse_line(L40_78_9)))
% 147.12/22.37
% 147.12/22.37 [4425] ALPHA_NOT_OR : ~(left_apart_point(A39_78_9, L40_78_9) | left_apart_point(A39_78_9, reverse_line(L40_78_9)))
% 147.12/22.37 -> [4426] ~left_apart_point(A39_78_9, L40_78_9), ~left_apart_point(A39_78_9, reverse_line(L40_78_9))
% 147.12/22.37
% 147.12/22.37 [4426] CLOSURE : ~left_apart_point(A39_78_9, L40_78_9)
% 147.12/22.37
% 147.12/22.37 [4196] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [4209] ((unequally_directed_lines(skolem_N7979, M38_37_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_37_8))) => (left_convergent_lines(skolem_N7979, M38_37_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_37_8))))
% 147.12/22.37
% 147.12/22.37 [4209] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_37_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_37_8))) => (left_convergent_lines(skolem_N7979, M38_37_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_37_8))))
% 147.12/22.37 -> [4210] ~(unequally_directed_lines(skolem_N7979, M38_37_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_37_8)))
% 147.12/22.37 -> [4211] (left_convergent_lines(skolem_N7979, M38_37_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_37_8)))
% 147.12/22.37
% 147.12/22.37 [4210] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_37_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_37_8)))
% 147.12/22.37 -> [4662] ~unequally_directed_lines(skolem_N7979, M38_37_8)
% 147.12/22.37 -> [4663] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_37_8))
% 147.12/22.37
% 147.12/22.37 [4663] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_37_8))
% 147.12/22.37
% 147.12/22.37 [4662] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_37_8)
% 147.12/22.37
% 147.12/22.37 [4211] BETA_OR : (left_convergent_lines(skolem_N7979, M38_37_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_37_8)))
% 147.12/22.37 -> [4216] left_convergent_lines(skolem_N7979, M38_37_8)
% 147.12/22.37 -> [4217] left_convergent_lines(skolem_N7979, reverse_line(M38_37_8))
% 147.12/22.37
% 147.12/22.37 [4217] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [4792] ~(left_apart_point(A39_105_9, L40_105_9) | left_apart_point(A39_105_9, reverse_line(L40_105_9)))
% 147.12/22.37
% 147.12/22.37 [4792] ALPHA_NOT_OR : ~(left_apart_point(A39_105_9, L40_105_9) | left_apart_point(A39_105_9, reverse_line(L40_105_9)))
% 147.12/22.37 -> [4794] ~left_apart_point(A39_105_9, L40_105_9), ~left_apart_point(A39_105_9, reverse_line(L40_105_9))
% 147.12/22.37
% 147.12/22.37 [4794] CLOSURE : ~left_apart_point(A39_105_9, L40_105_9)
% 147.12/22.37
% 147.12/22.37 [4216] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [4844] ~(left_apart_point(A39_107_9, L40_107_9) | left_apart_point(A39_107_9, reverse_line(L40_107_9)))
% 147.12/22.37
% 147.12/22.37 [4844] ALPHA_NOT_OR : ~(left_apart_point(A39_107_9, L40_107_9) | left_apart_point(A39_107_9, reverse_line(L40_107_9)))
% 147.12/22.37 -> [4845] ~left_apart_point(A39_107_9, L40_107_9), ~left_apart_point(A39_107_9, reverse_line(L40_107_9))
% 147.12/22.37
% 147.12/22.37 [4845] CLOSURE : ~left_apart_point(A39_107_9, L40_107_9)
% 147.12/22.37
% 147.12/22.37 [878] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.37 -> [999] ~distinct_points(A20_66_0, A20_66_0)
% 147.12/22.37
% 147.12/22.37 [999] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.37 -> [1505] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.37
% 147.12/22.37 [1505] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.37 -> [1506] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.37 -> [1507] (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.37
% 147.12/22.37 [1506] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.37
% 147.12/22.37 [1507] BETA_OR : (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.37 -> [2225] distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.37 -> [2226] distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.37
% 147.12/22.37 [2225] CLOSURE : distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.37
% 147.12/22.37 [2226] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.37 -> [3441] ~distinct_lines(N27_113_3, N27_113_3)
% 147.12/22.37
% 147.12/22.37 [3441] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.37 -> [3517] (distinct_lines(N27_113_3, N27_113_3) => (distinct_lines(N27_113_3, N27_113_3) | distinct_lines(N27_113_3, N27_113_3)))
% 147.12/22.37
% 147.12/22.37 [3517] BETA_IMPLY : (distinct_lines(N27_113_3, N27_113_3) => (distinct_lines(N27_113_3, N27_113_3) | distinct_lines(N27_113_3, N27_113_3)))
% 147.12/22.37 -> [3518] ~distinct_lines(N27_113_3, N27_113_3)
% 147.12/22.37 -> [3519] (distinct_lines(N27_113_3, N27_113_3) | distinct_lines(N27_113_3, N27_113_3))
% 147.12/22.37
% 147.12/22.37 [3519] BETA_OR : (distinct_lines(N27_113_3, N27_113_3) | distinct_lines(N27_113_3, N27_113_3))
% 147.12/22.37 -> [3520] distinct_lines(N27_113_3, N27_113_3)
% 147.12/22.37 -> [3521] distinct_lines(N27_113_3, N27_113_3)
% 147.12/22.37
% 147.12/22.37 [3521] CLOSURE : distinct_lines(N27_113_3, N27_113_3)
% 147.12/22.37
% 147.12/22.37 [3520] CLOSURE : distinct_lines(N27_113_3, N27_113_3)
% 147.12/22.37
% 147.12/22.37 [3518] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.37 -> [3614] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [3614] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.37 -> [3665] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.37
% 147.12/22.37 [3665] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.37 -> [3670] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37 -> [3671] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.37
% 147.12/22.37 [3670] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [3671] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.37 -> [5343] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37 -> [5344] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [5344] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [5343] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.37 -> [8344] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_108_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_108_6))) | (unequally_directed_lines(skolem_N7979, N34_108_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_108_6)))))
% 147.12/22.37
% 147.12/22.37 [8344] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_108_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_108_6))) | (unequally_directed_lines(skolem_N7979, N34_108_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_108_6)))))
% 147.12/22.37 -> [8350] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [8351] ((unequally_directed_lines(skolem_M7878, N34_108_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_108_6))) | (unequally_directed_lines(skolem_N7979, N34_108_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_108_6))))
% 147.12/22.37
% 147.12/22.37 [8350] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.37 -> [8408] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37 -> [8409] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [8409] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.37
% 147.12/22.37 [8408] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.37
% 147.12/22.37 [8351] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_108_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_108_6))) | (unequally_directed_lines(skolem_N7979, N34_108_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_108_6))))
% 147.12/22.37 -> [10749] (unequally_directed_lines(skolem_M7878, N34_108_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_108_6)))
% 147.12/22.37 -> [10750] (unequally_directed_lines(skolem_N7979, N34_108_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_108_6)))
% 147.12/22.37
% 147.12/22.37 [10750] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_108_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_108_6)))
% 147.12/22.37 -> [10755] unequally_directed_lines(skolem_N7979, N34_108_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_108_6))
% 147.12/22.37
% 147.12/22.37 [10755] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.37 -> [10807] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.12/22.37
% 147.12/22.37 [10807] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.12/22.37 -> [10812] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.37 -> [10813] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.12/22.37
% 147.12/22.37 [10813] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.12/22.37 -> [10818] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.37 -> [10819] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.37
% 147.12/22.37 [10818] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.37
% 147.12/22.37 [10819] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11064] ((unequally_directed_lines(skolem_N7979, M38_422_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_422_8))) => (left_convergent_lines(skolem_N7979, M38_422_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_422_8))))
% 147.12/22.37
% 147.12/22.37 [11064] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_422_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_422_8))) => (left_convergent_lines(skolem_N7979, M38_422_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_422_8))))
% 147.12/22.37 -> [11068] ~(unequally_directed_lines(skolem_N7979, M38_422_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_422_8)))
% 147.12/22.37 -> [11069] (left_convergent_lines(skolem_N7979, M38_422_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_422_8)))
% 147.12/22.37
% 147.12/22.37 [11068] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_422_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_422_8)))
% 147.12/22.37 -> [11082] ~unequally_directed_lines(skolem_N7979, M38_422_8)
% 147.12/22.37 -> [11083] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_422_8))
% 147.12/22.37
% 147.12/22.37 [11083] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_422_8))
% 147.12/22.37
% 147.12/22.37 [11082] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_422_8)
% 147.12/22.37
% 147.12/22.37 [11069] BETA_OR : (left_convergent_lines(skolem_N7979, M38_422_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_422_8)))
% 147.12/22.37 -> [11073] left_convergent_lines(skolem_N7979, M38_422_8)
% 147.12/22.37 -> [11074] left_convergent_lines(skolem_N7979, reverse_line(M38_422_8))
% 147.12/22.37
% 147.12/22.37 [11074] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11354] ~(left_apart_point(A39_853_9, L40_853_9) | left_apart_point(A39_853_9, reverse_line(L40_853_9)))
% 147.12/22.37
% 147.12/22.37 [11354] ALPHA_NOT_OR : ~(left_apart_point(A39_853_9, L40_853_9) | left_apart_point(A39_853_9, reverse_line(L40_853_9)))
% 147.12/22.37 -> [11355] ~left_apart_point(A39_853_9, L40_853_9), ~left_apart_point(A39_853_9, reverse_line(L40_853_9))
% 147.12/22.37
% 147.12/22.37 [11355] CLOSURE : ~left_apart_point(A39_853_9, L40_853_9)
% 147.12/22.37
% 147.12/22.37 [11073] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11104] ~(left_apart_point(A39_836_9, L40_836_9) | left_apart_point(A39_836_9, reverse_line(L40_836_9)))
% 147.12/22.37
% 147.12/22.37 [11104] ALPHA_NOT_OR : ~(left_apart_point(A39_836_9, L40_836_9) | left_apart_point(A39_836_9, reverse_line(L40_836_9)))
% 147.12/22.37 -> [11105] ~left_apart_point(A39_836_9, L40_836_9), ~left_apart_point(A39_836_9, reverse_line(L40_836_9))
% 147.12/22.37
% 147.12/22.37 [11105] CLOSURE : ~left_apart_point(A39_836_9, L40_836_9)
% 147.12/22.37
% 147.12/22.37 [10812] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.37 -> [10831] ~line(skolem_L7777)
% 147.12/22.37 -> [10832] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.37
% 147.12/22.37 [10831] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [10873] ((unequally_directed_lines(skolem_N7979, M38_415_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_415_8))) => (left_convergent_lines(skolem_N7979, M38_415_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_415_8))))
% 147.12/22.37
% 147.12/22.37 [10873] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_415_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_415_8))) => (left_convergent_lines(skolem_N7979, M38_415_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_415_8))))
% 147.12/22.37 -> [10876] ~(unequally_directed_lines(skolem_N7979, M38_415_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_415_8)))
% 147.12/22.37 -> [10877] (left_convergent_lines(skolem_N7979, M38_415_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_415_8)))
% 147.12/22.37
% 147.12/22.37 [10876] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_415_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_415_8)))
% 147.12/22.37 -> [10894] ~unequally_directed_lines(skolem_N7979, M38_415_8)
% 147.12/22.37 -> [10895] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_415_8))
% 147.12/22.37
% 147.12/22.37 [10895] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_415_8))
% 147.12/22.37
% 147.12/22.37 [10894] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_415_8)
% 147.12/22.37
% 147.12/22.37 [10877] BETA_OR : (left_convergent_lines(skolem_N7979, M38_415_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_415_8)))
% 147.12/22.37 -> [10883] left_convergent_lines(skolem_N7979, M38_415_8)
% 147.12/22.37 -> [10884] left_convergent_lines(skolem_N7979, reverse_line(M38_415_8))
% 147.12/22.37
% 147.12/22.37 [10884] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [10915] ~(left_apart_point(A39_802_9, L40_802_9) | left_apart_point(A39_802_9, reverse_line(L40_802_9)))
% 147.12/22.37
% 147.12/22.37 [10915] ALPHA_NOT_OR : ~(left_apart_point(A39_802_9, L40_802_9) | left_apart_point(A39_802_9, reverse_line(L40_802_9)))
% 147.12/22.37 -> [10916] ~left_apart_point(A39_802_9, L40_802_9), ~left_apart_point(A39_802_9, reverse_line(L40_802_9))
% 147.12/22.37
% 147.12/22.37 [10916] CLOSURE : ~left_apart_point(A39_802_9, L40_802_9)
% 147.12/22.37
% 147.12/22.37 [10883] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [10927] ~(left_apart_point(A39_804_9, L40_804_9) | left_apart_point(A39_804_9, reverse_line(L40_804_9)))
% 147.12/22.37
% 147.12/22.37 [10927] ALPHA_NOT_OR : ~(left_apart_point(A39_804_9, L40_804_9) | left_apart_point(A39_804_9, reverse_line(L40_804_9)))
% 147.12/22.37 -> [10932] ~left_apart_point(A39_804_9, L40_804_9), ~left_apart_point(A39_804_9, reverse_line(L40_804_9))
% 147.12/22.37
% 147.12/22.37 [10932] CLOSURE : ~left_apart_point(A39_804_9, L40_804_9)
% 147.12/22.37
% 147.12/22.37 [10832] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [10843] ((unequally_directed_lines(skolem_N7979, M38_412_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_412_8))) => (left_convergent_lines(skolem_N7979, M38_412_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_412_8))))
% 147.12/22.37
% 147.12/22.37 [10843] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_412_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_412_8))) => (left_convergent_lines(skolem_N7979, M38_412_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_412_8))))
% 147.12/22.37 -> [10848] ~(unequally_directed_lines(skolem_N7979, M38_412_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_412_8)))
% 147.12/22.37 -> [10849] (left_convergent_lines(skolem_N7979, M38_412_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_412_8)))
% 147.12/22.37
% 147.12/22.37 [10849] BETA_OR : (left_convergent_lines(skolem_N7979, M38_412_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_412_8)))
% 147.12/22.37 -> [10854] left_convergent_lines(skolem_N7979, M38_412_8)
% 147.12/22.37 -> [10855] left_convergent_lines(skolem_N7979, reverse_line(M38_412_8))
% 147.12/22.37
% 147.12/22.37 [10855] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11042] ~(left_apart_point(A39_822_9, L40_822_9) | left_apart_point(A39_822_9, reverse_line(L40_822_9)))
% 147.12/22.37
% 147.12/22.37 [11042] ALPHA_NOT_OR : ~(left_apart_point(A39_822_9, L40_822_9) | left_apart_point(A39_822_9, reverse_line(L40_822_9)))
% 147.12/22.37 -> [11043] ~left_apart_point(A39_822_9, L40_822_9), ~left_apart_point(A39_822_9, reverse_line(L40_822_9))
% 147.12/22.37
% 147.12/22.37 [11043] CLOSURE : ~left_apart_point(A39_822_9, L40_822_9)
% 147.12/22.37
% 147.12/22.37 [10854] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11065] ~(left_apart_point(A39_827_9, L40_827_9) | left_apart_point(A39_827_9, reverse_line(L40_827_9)))
% 147.12/22.37
% 147.12/22.37 [11065] ALPHA_NOT_OR : ~(left_apart_point(A39_827_9, L40_827_9) | left_apart_point(A39_827_9, reverse_line(L40_827_9)))
% 147.12/22.37 -> [11070] ~left_apart_point(A39_827_9, L40_827_9), ~left_apart_point(A39_827_9, reverse_line(L40_827_9))
% 147.12/22.37
% 147.12/22.37 [11070] CLOSURE : ~left_apart_point(A39_827_9, L40_827_9)
% 147.12/22.37
% 147.12/22.37 [10848] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_412_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_412_8)))
% 147.12/22.37 -> [10865] ~unequally_directed_lines(skolem_N7979, M38_412_8)
% 147.12/22.37 -> [10866] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_412_8))
% 147.12/22.37
% 147.12/22.37 [10865] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_412_8)
% 147.12/22.37
% 147.12/22.37 [10866] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_412_8))
% 147.12/22.37
% 147.12/22.37 [10749] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_108_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_108_6)))
% 147.12/22.37 -> [10757] unequally_directed_lines(skolem_M7878, N34_108_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_108_6))
% 147.12/22.37
% 147.12/22.37 [10757] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.37 -> [10993] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.12/22.37
% 147.12/22.37 [10993] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.12/22.37 -> [10995] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.37 -> [10996] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.12/22.37
% 147.12/22.37 [10995] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.37 -> [11053] ~line(skolem_L7777)
% 147.12/22.37 -> [11054] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.37
% 147.12/22.37 [11053] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11291] ((unequally_directed_lines(skolem_M7878, M38_438_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_438_8))) => (left_convergent_lines(skolem_M7878, M38_438_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_438_8))))
% 147.12/22.37
% 147.12/22.37 [11291] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_438_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_438_8))) => (left_convergent_lines(skolem_M7878, M38_438_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_438_8))))
% 147.12/22.37 -> [11294] ~(unequally_directed_lines(skolem_M7878, M38_438_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_438_8)))
% 147.12/22.37 -> [11295] (left_convergent_lines(skolem_M7878, M38_438_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_438_8)))
% 147.12/22.37
% 147.12/22.37 [11295] BETA_OR : (left_convergent_lines(skolem_M7878, M38_438_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_438_8)))
% 147.12/22.37 -> [11297] left_convergent_lines(skolem_M7878, M38_438_8)
% 147.12/22.37 -> [11298] left_convergent_lines(skolem_M7878, reverse_line(M38_438_8))
% 147.12/22.37
% 147.12/22.37 [11298] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11395] ~(left_apart_point(A39_864_9, L40_864_9) | left_apart_point(A39_864_9, reverse_line(L40_864_9)))
% 147.12/22.37
% 147.12/22.37 [11395] ALPHA_NOT_OR : ~(left_apart_point(A39_864_9, L40_864_9) | left_apart_point(A39_864_9, reverse_line(L40_864_9)))
% 147.12/22.37 -> [11396] ~left_apart_point(A39_864_9, L40_864_9), ~left_apart_point(A39_864_9, reverse_line(L40_864_9))
% 147.12/22.37
% 147.12/22.37 [11396] CLOSURE : ~left_apart_point(A39_864_9, L40_864_9)
% 147.12/22.37
% 147.12/22.37 [11297] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11407] ~(left_apart_point(A39_865_9, L40_865_9) | left_apart_point(A39_865_9, reverse_line(L40_865_9)))
% 147.12/22.37
% 147.12/22.37 [11407] ALPHA_NOT_OR : ~(left_apart_point(A39_865_9, L40_865_9) | left_apart_point(A39_865_9, reverse_line(L40_865_9)))
% 147.12/22.37 -> [11410] ~left_apart_point(A39_865_9, L40_865_9), ~left_apart_point(A39_865_9, reverse_line(L40_865_9))
% 147.12/22.37
% 147.12/22.37 [11410] CLOSURE : ~left_apart_point(A39_865_9, L40_865_9)
% 147.12/22.37
% 147.12/22.37 [11294] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_438_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_438_8)))
% 147.12/22.37 -> [11323] ~unequally_directed_lines(skolem_M7878, M38_438_8)
% 147.12/22.37 -> [11324] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_438_8))
% 147.12/22.37
% 147.12/22.37 [11324] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_438_8))
% 147.12/22.37
% 147.12/22.37 [11323] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_438_8)
% 147.12/22.37
% 147.12/22.37 [11054] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11334] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [11334] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [11338] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11339] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [11339] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11343] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11344] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11344] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11525] ~(left_apart_point(A39_884_9, L40_884_9) | left_apart_point(A39_884_9, reverse_line(L40_884_9)))
% 147.12/22.37
% 147.12/22.37 [11525] ALPHA_NOT_OR : ~(left_apart_point(A39_884_9, L40_884_9) | left_apart_point(A39_884_9, reverse_line(L40_884_9)))
% 147.12/22.37 -> [11526] ~left_apart_point(A39_884_9, L40_884_9), ~left_apart_point(A39_884_9, reverse_line(L40_884_9))
% 147.12/22.37
% 147.12/22.37 [11526] CLOSURE : ~left_apart_point(A39_884_9, L40_884_9)
% 147.12/22.37
% 147.12/22.37 [11343] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [11776] ~(left_apart_point(A39_899_9, L40_899_9) | left_apart_point(A39_899_9, reverse_line(L40_899_9)))
% 147.12/22.37
% 147.12/22.37 [11776] ALPHA_NOT_OR : ~(left_apart_point(A39_899_9, L40_899_9) | left_apart_point(A39_899_9, reverse_line(L40_899_9)))
% 147.12/22.37 -> [11781] ~left_apart_point(A39_899_9, L40_899_9), ~left_apart_point(A39_899_9, reverse_line(L40_899_9))
% 147.12/22.37
% 147.12/22.37 [11781] CLOSURE : ~left_apart_point(A39_899_9, L40_899_9)
% 147.12/22.37
% 147.12/22.37 [11338] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11476] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11477] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11477] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11476] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [10996] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.12/22.37 -> [11001] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.37 -> [11002] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.37
% 147.12/22.37 [11001] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.37
% 147.12/22.37 [11002] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.37 -> [11875] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37
% 147.12/22.37 [11875] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [11876] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11877] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [11876] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11939] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11940] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11940] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11939] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [11877] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [11883] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.37 -> [11884] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [11884] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12114] ~(left_apart_point(A39_957_9, L40_957_9) | left_apart_point(A39_957_9, reverse_line(L40_957_9)))
% 147.12/22.37
% 147.12/22.37 [12114] ALPHA_NOT_OR : ~(left_apart_point(A39_957_9, L40_957_9) | left_apart_point(A39_957_9, reverse_line(L40_957_9)))
% 147.12/22.37 -> [12115] ~left_apart_point(A39_957_9, L40_957_9), ~left_apart_point(A39_957_9, reverse_line(L40_957_9))
% 147.12/22.37
% 147.12/22.37 [12115] CLOSURE : ~left_apart_point(A39_957_9, L40_957_9)
% 147.12/22.37
% 147.12/22.37 [11883] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.37 -> [12177] ~(left_apart_point(A39_977_9, L40_977_9) | left_apart_point(A39_977_9, reverse_line(L40_977_9)))
% 147.12/22.37
% 147.12/22.37 [12177] ALPHA_NOT_OR : ~(left_apart_point(A39_977_9, L40_977_9) | left_apart_point(A39_977_9, reverse_line(L40_977_9)))
% 147.12/22.37 -> [12178] ~left_apart_point(A39_977_9, L40_977_9), ~left_apart_point(A39_977_9, reverse_line(L40_977_9))
% 147.12/22.37
% 147.12/22.37 [12178] CLOSURE : ~left_apart_point(A39_977_9, L40_977_9)
% 147.12/22.37
% 147.12/22.37 [271] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.37 -> [280] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [280] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.12/22.37 -> [286] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [287] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [286] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.37 -> [321] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.12/22.37 -> [322] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [322] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.37 -> [482] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.37 -> [483] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [483] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [1147] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37
% 147.12/22.37 [1147] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.37 -> [1149] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.37 -> [1150] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [1149] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.37
% 147.12/22.37 [1150] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.37
% 147.12/22.37 [482] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.37 -> [1202] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.37
% 147.12/22.37 [1202] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.37 -> [1227] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.12/22.37
% 147.12/22.37 [1227] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.12/22.37 -> [1228] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.37 -> [1229] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.12/22.37
% 147.12/22.37 [1228] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.37
% 147.12/22.37 [1229] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.12/22.37 -> [1920] distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.37 -> [1921] distinct_points(skolem_A8080, skolem_B8181)
% 147.12/22.37
% 147.12/22.37 [1920] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.37
% 147.12/22.37 [1921] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.37 -> [2529] ~distinct_lines(N27_72_3, N27_72_3)
% 147.12/22.37
% 147.12/22.37 [2529] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.37 -> [2602] (distinct_lines(N27_72_3, N27_72_3) => (distinct_lines(N27_72_3, N27_72_3) | distinct_lines(N27_72_3, N27_72_3)))
% 147.12/22.37
% 147.12/22.37 [2602] BETA_IMPLY : (distinct_lines(N27_72_3, N27_72_3) => (distinct_lines(N27_72_3, N27_72_3) | distinct_lines(N27_72_3, N27_72_3)))
% 147.12/22.37 -> [2605] ~distinct_lines(N27_72_3, N27_72_3)
% 147.12/22.37 -> [2606] (distinct_lines(N27_72_3, N27_72_3) | distinct_lines(N27_72_3, N27_72_3))
% 147.12/22.37
% 147.12/22.37 [2606] BETA_OR : (distinct_lines(N27_72_3, N27_72_3) | distinct_lines(N27_72_3, N27_72_3))
% 147.12/22.37 -> [2607] distinct_lines(N27_72_3, N27_72_3)
% 147.12/22.37 -> [2608] distinct_lines(N27_72_3, N27_72_3)
% 147.12/22.37
% 147.12/22.37 [2608] CLOSURE : distinct_lines(N27_72_3, N27_72_3)
% 147.12/22.37
% 147.12/22.37 [2607] CLOSURE : distinct_lines(N27_72_3, N27_72_3)
% 147.12/22.38
% 147.12/22.38 [2605] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.38 -> [2689] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [2689] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.38 -> [2757] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [2757] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38 -> [2758] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38 -> [2759] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [2758] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [2759] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38 -> [2965] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38 -> [2966] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [2966] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [2965] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.38 -> [3225] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_13_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_13_6))) | (unequally_directed_lines(skolem_N7979, N34_13_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_13_6)))))
% 147.12/22.38
% 147.12/22.38 [3225] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_13_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_13_6))) | (unequally_directed_lines(skolem_N7979, N34_13_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_13_6)))))
% 147.12/22.38 -> [3226] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [3227] ((unequally_directed_lines(skolem_M7878, N34_13_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_13_6))) | (unequally_directed_lines(skolem_N7979, N34_13_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_13_6))))
% 147.12/22.38
% 147.12/22.38 [3226] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [3233] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [3234] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [3234] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [3233] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [3227] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_13_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_13_6))) | (unequally_directed_lines(skolem_N7979, N34_13_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_13_6))))
% 147.12/22.38 -> [4186] (unequally_directed_lines(skolem_M7878, N34_13_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_13_6)))
% 147.12/22.38 -> [4187] (unequally_directed_lines(skolem_N7979, N34_13_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_13_6)))
% 147.12/22.38
% 147.12/22.38 [4187] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_13_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_13_6)))
% 147.12/22.38 -> [4189] unequally_directed_lines(skolem_N7979, N34_13_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_13_6))
% 147.12/22.38
% 147.12/22.38 [4189] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.38 -> [4308] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [4308] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38 -> [4310] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.38 -> [4311] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [4310] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.38 -> [4342] ~line(reverse_line(skolem_N7979))
% 147.12/22.38 -> [4343] ~line(skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [4342] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [4420] ((unequally_directed_lines(skolem_N7979, M38_45_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_45_8))) => (left_convergent_lines(skolem_N7979, M38_45_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_45_8))))
% 147.12/22.38
% 147.12/22.38 [4420] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_45_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_45_8))) => (left_convergent_lines(skolem_N7979, M38_45_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_45_8))))
% 147.12/22.38 -> [4421] ~(unequally_directed_lines(skolem_N7979, M38_45_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_45_8)))
% 147.12/22.38 -> [4422] (left_convergent_lines(skolem_N7979, M38_45_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_45_8)))
% 147.12/22.38
% 147.12/22.38 [4422] BETA_OR : (left_convergent_lines(skolem_N7979, M38_45_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_45_8)))
% 147.12/22.38 -> [4427] left_convergent_lines(skolem_N7979, M38_45_8)
% 147.12/22.38 -> [4428] left_convergent_lines(skolem_N7979, reverse_line(M38_45_8))
% 147.12/22.38
% 147.12/22.38 [4428] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [4513] ~(left_apart_point(A39_84_9, L40_84_9) | left_apart_point(A39_84_9, reverse_line(L40_84_9)))
% 147.12/22.38
% 147.12/22.38 [4513] ALPHA_NOT_OR : ~(left_apart_point(A39_84_9, L40_84_9) | left_apart_point(A39_84_9, reverse_line(L40_84_9)))
% 147.12/22.38 -> [4514] ~left_apart_point(A39_84_9, L40_84_9), ~left_apart_point(A39_84_9, reverse_line(L40_84_9))
% 147.12/22.38
% 147.12/22.38 [4514] CLOSURE : ~left_apart_point(A39_84_9, L40_84_9)
% 147.12/22.38
% 147.12/22.38 [4427] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [4531] ~(left_apart_point(A39_86_9, L40_86_9) | left_apart_point(A39_86_9, reverse_line(L40_86_9)))
% 147.12/22.38
% 147.12/22.38 [4531] ALPHA_NOT_OR : ~(left_apart_point(A39_86_9, L40_86_9) | left_apart_point(A39_86_9, reverse_line(L40_86_9)))
% 147.12/22.38 -> [4532] ~left_apart_point(A39_86_9, L40_86_9), ~left_apart_point(A39_86_9, reverse_line(L40_86_9))
% 147.12/22.38
% 147.12/22.38 [4532] CLOSURE : ~left_apart_point(A39_86_9, L40_86_9)
% 147.12/22.38
% 147.12/22.38 [4421] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_45_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_45_8)))
% 147.12/22.38 -> [4475] ~unequally_directed_lines(skolem_N7979, M38_45_8)
% 147.12/22.38 -> [4476] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_45_8))
% 147.12/22.38
% 147.12/22.38 [4476] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_45_8))
% 147.12/22.38
% 147.12/22.38 [4475] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_45_8)
% 147.12/22.38
% 147.12/22.38 [4343] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [4390] ((unequally_directed_lines(skolem_N7979, M38_41_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_41_8))) => (left_convergent_lines(skolem_N7979, M38_41_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_41_8))))
% 147.12/22.38
% 147.12/22.38 [4390] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_41_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_41_8))) => (left_convergent_lines(skolem_N7979, M38_41_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_41_8))))
% 147.12/22.38 -> [4391] ~(unequally_directed_lines(skolem_N7979, M38_41_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_41_8)))
% 147.12/22.38 -> [4392] (left_convergent_lines(skolem_N7979, M38_41_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_41_8)))
% 147.12/22.38
% 147.12/22.38 [4391] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_41_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_41_8)))
% 147.12/22.38 -> [4435] ~unequally_directed_lines(skolem_N7979, M38_41_8)
% 147.12/22.38 -> [4436] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_41_8))
% 147.12/22.38
% 147.12/22.38 [4436] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_41_8))
% 147.12/22.38
% 147.12/22.38 [4435] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_41_8)
% 147.12/22.38
% 147.12/22.38 [4392] BETA_OR : (left_convergent_lines(skolem_N7979, M38_41_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_41_8)))
% 147.12/22.38 -> [4393] left_convergent_lines(skolem_N7979, M38_41_8)
% 147.12/22.38 -> [4394] left_convergent_lines(skolem_N7979, reverse_line(M38_41_8))
% 147.12/22.38
% 147.12/22.38 [4393] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [4515] ~(left_apart_point(A39_85_9, L40_85_9) | left_apart_point(A39_85_9, reverse_line(L40_85_9)))
% 147.12/22.38
% 147.12/22.38 [4515] ALPHA_NOT_OR : ~(left_apart_point(A39_85_9, L40_85_9) | left_apart_point(A39_85_9, reverse_line(L40_85_9)))
% 147.12/22.38 -> [4517] ~left_apart_point(A39_85_9, L40_85_9), ~left_apart_point(A39_85_9, reverse_line(L40_85_9))
% 147.12/22.38
% 147.12/22.38 [4517] CLOSURE : ~left_apart_point(A39_85_9, L40_85_9)
% 147.12/22.38
% 147.12/22.38 [4394] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [4602] ~(left_apart_point(A39_97_9, L40_97_9) | left_apart_point(A39_97_9, reverse_line(L40_97_9)))
% 147.12/22.38
% 147.12/22.38 [4602] ALPHA_NOT_OR : ~(left_apart_point(A39_97_9, L40_97_9) | left_apart_point(A39_97_9, reverse_line(L40_97_9)))
% 147.12/22.38 -> [4603] ~left_apart_point(A39_97_9, L40_97_9), ~left_apart_point(A39_97_9, reverse_line(L40_97_9))
% 147.12/22.38
% 147.12/22.38 [4603] CLOSURE : ~left_apart_point(A39_97_9, L40_97_9)
% 147.12/22.38
% 147.12/22.38 [4311] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38 -> [4316] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.12/22.38 -> [4317] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [4317] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [4316] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [5397] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [5397] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.38 -> [5398] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [5399] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [5399] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [5400] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [5401] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [5401] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [5422] ~(left_apart_point(A39_166_9, L40_166_9) | left_apart_point(A39_166_9, reverse_line(L40_166_9)))
% 147.12/22.38
% 147.12/22.38 [5422] ALPHA_NOT_OR : ~(left_apart_point(A39_166_9, L40_166_9) | left_apart_point(A39_166_9, reverse_line(L40_166_9)))
% 147.12/22.38 -> [5427] ~left_apart_point(A39_166_9, L40_166_9), ~left_apart_point(A39_166_9, reverse_line(L40_166_9))
% 147.12/22.38
% 147.12/22.38 [5427] CLOSURE : ~left_apart_point(A39_166_9, L40_166_9)
% 147.12/22.38
% 147.12/22.38 [5400] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [5434] ~(left_apart_point(A39_167_9, L40_167_9) | left_apart_point(A39_167_9, reverse_line(L40_167_9)))
% 147.12/22.38
% 147.12/22.38 [5434] ALPHA_NOT_OR : ~(left_apart_point(A39_167_9, L40_167_9) | left_apart_point(A39_167_9, reverse_line(L40_167_9)))
% 147.12/22.38 -> [5435] ~left_apart_point(A39_167_9, L40_167_9), ~left_apart_point(A39_167_9, reverse_line(L40_167_9))
% 147.12/22.38
% 147.12/22.38 [5435] CLOSURE : ~left_apart_point(A39_167_9, L40_167_9)
% 147.12/22.38
% 147.12/22.38 [5398] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [5404] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [5405] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [5405] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [5404] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [4186] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_13_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_13_6)))
% 147.12/22.38 -> [4197] unequally_directed_lines(skolem_M7878, N34_13_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_13_6))
% 147.12/22.38
% 147.12/22.38 [4197] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.38 -> [4329] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [4329] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38 -> [4330] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.38 -> [4331] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [4330] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.38 -> [4359] ~line(reverse_line(skolem_N7979))
% 147.12/22.38 -> [4360] ~line(skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [4360] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [4468] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [4468] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [4469] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [4470] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [4469] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [4491] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [4492] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [4492] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [4491] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [4470] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [4473] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [4474] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [4474] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [4562] ~(left_apart_point(A39_92_9, L40_92_9) | left_apart_point(A39_92_9, reverse_line(L40_92_9)))
% 147.12/22.38
% 147.12/22.38 [4562] ALPHA_NOT_OR : ~(left_apart_point(A39_92_9, L40_92_9) | left_apart_point(A39_92_9, reverse_line(L40_92_9)))
% 147.12/22.38 -> [4563] ~left_apart_point(A39_92_9, L40_92_9), ~left_apart_point(A39_92_9, reverse_line(L40_92_9))
% 147.12/22.38
% 147.12/22.38 [4563] CLOSURE : ~left_apart_point(A39_92_9, L40_92_9)
% 147.12/22.38
% 147.12/22.38 [4473] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [4560] ~(left_apart_point(A39_91_9, L40_91_9) | left_apart_point(A39_91_9, reverse_line(L40_91_9)))
% 147.12/22.38
% 147.12/22.38 [4560] ALPHA_NOT_OR : ~(left_apart_point(A39_91_9, L40_91_9) | left_apart_point(A39_91_9, reverse_line(L40_91_9)))
% 147.12/22.38 -> [4561] ~left_apart_point(A39_91_9, L40_91_9), ~left_apart_point(A39_91_9, reverse_line(L40_91_9))
% 147.12/22.38
% 147.12/22.38 [4561] CLOSURE : ~left_apart_point(A39_91_9, L40_91_9)
% 147.12/22.38
% 147.12/22.38 [4359] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [4456] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [4456] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [4458] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [4459] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [4459] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [4462] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [4463] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [4462] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [4548] ~(left_apart_point(A39_89_9, L40_89_9) | left_apart_point(A39_89_9, reverse_line(L40_89_9)))
% 147.12/22.38
% 147.12/22.38 [4548] ALPHA_NOT_OR : ~(left_apart_point(A39_89_9, L40_89_9) | left_apart_point(A39_89_9, reverse_line(L40_89_9)))
% 147.12/22.38 -> [4551] ~left_apart_point(A39_89_9, L40_89_9), ~left_apart_point(A39_89_9, reverse_line(L40_89_9))
% 147.12/22.38
% 147.12/22.38 [4551] CLOSURE : ~left_apart_point(A39_89_9, L40_89_9)
% 147.12/22.38
% 147.12/22.38 [4463] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [4557] ~(left_apart_point(A39_90_9, L40_90_9) | left_apart_point(A39_90_9, reverse_line(L40_90_9)))
% 147.12/22.38
% 147.12/22.38 [4557] ALPHA_NOT_OR : ~(left_apart_point(A39_90_9, L40_90_9) | left_apart_point(A39_90_9, reverse_line(L40_90_9)))
% 147.12/22.38 -> [4558] ~left_apart_point(A39_90_9, L40_90_9), ~left_apart_point(A39_90_9, reverse_line(L40_90_9))
% 147.12/22.38
% 147.12/22.38 [4558] CLOSURE : ~left_apart_point(A39_90_9, L40_90_9)
% 147.12/22.38
% 147.12/22.38 [4458] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [4484] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [4485] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [4484] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [4485] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [4331] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38 -> [4338] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.12/22.38 -> [4339] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [4339] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [4338] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [5702] ((unequally_directed_lines(skolem_M7878, M38_107_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_107_8))) => (left_convergent_lines(skolem_M7878, M38_107_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_107_8))))
% 147.12/22.38
% 147.12/22.38 [5702] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_107_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_107_8))) => (left_convergent_lines(skolem_M7878, M38_107_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_107_8))))
% 147.12/22.38 -> [5703] ~(unequally_directed_lines(skolem_M7878, M38_107_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_107_8)))
% 147.12/22.38 -> [5704] (left_convergent_lines(skolem_M7878, M38_107_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_107_8)))
% 147.12/22.38
% 147.12/22.38 [5704] BETA_OR : (left_convergent_lines(skolem_M7878, M38_107_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_107_8)))
% 147.12/22.38 -> [5705] left_convergent_lines(skolem_M7878, M38_107_8)
% 147.12/22.38 -> [5706] left_convergent_lines(skolem_M7878, reverse_line(M38_107_8))
% 147.12/22.38
% 147.12/22.38 [5705] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [5887] ~(left_apart_point(A39_208_9, L40_208_9) | left_apart_point(A39_208_9, reverse_line(L40_208_9)))
% 147.12/22.38
% 147.12/22.38 [5887] ALPHA_NOT_OR : ~(left_apart_point(A39_208_9, L40_208_9) | left_apart_point(A39_208_9, reverse_line(L40_208_9)))
% 147.12/22.38 -> [5888] ~left_apart_point(A39_208_9, L40_208_9), ~left_apart_point(A39_208_9, reverse_line(L40_208_9))
% 147.12/22.38
% 147.12/22.38 [5888] CLOSURE : ~left_apart_point(A39_208_9, L40_208_9)
% 147.12/22.38
% 147.12/22.38 [5706] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [5983] ~(left_apart_point(A39_220_9, L40_220_9) | left_apart_point(A39_220_9, reverse_line(L40_220_9)))
% 147.12/22.38
% 147.12/22.38 [5983] ALPHA_NOT_OR : ~(left_apart_point(A39_220_9, L40_220_9) | left_apart_point(A39_220_9, reverse_line(L40_220_9)))
% 147.12/22.38 -> [5987] ~left_apart_point(A39_220_9, L40_220_9), ~left_apart_point(A39_220_9, reverse_line(L40_220_9))
% 147.12/22.38
% 147.12/22.38 [5987] CLOSURE : ~left_apart_point(A39_220_9, L40_220_9)
% 147.12/22.38
% 147.12/22.38 [5703] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_107_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_107_8)))
% 147.12/22.38 -> [5750] ~unequally_directed_lines(skolem_M7878, M38_107_8)
% 147.12/22.38 -> [5751] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_107_8))
% 147.12/22.38
% 147.12/22.38 [5751] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_107_8))
% 147.12/22.38
% 147.12/22.38 [5750] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_107_8)
% 147.12/22.38
% 147.12/22.38 [321] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [1086] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.38 -> [1087] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [1087] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [1094] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [1094] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [1095] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.38 -> [1096] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [1095] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [1096] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [1086] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.38 -> [1175] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1175] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.38 -> [1199] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38
% 147.12/22.38 [1199] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38 -> [1200] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [1201] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38
% 147.12/22.38 [1200] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1201] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38 -> [2842] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [2843] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [2843] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [2842] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.38 -> [4005] ~distinct_lines(N27_122_3, N27_122_3)
% 147.12/22.38
% 147.12/22.38 [4005] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.38 -> [4125] (distinct_lines(N27_122_3, N27_122_3) => (distinct_lines(N27_122_3, N27_122_3) | distinct_lines(N27_122_3, N27_122_3)))
% 147.12/22.38
% 147.12/22.38 [4125] BETA_IMPLY : (distinct_lines(N27_122_3, N27_122_3) => (distinct_lines(N27_122_3, N27_122_3) | distinct_lines(N27_122_3, N27_122_3)))
% 147.12/22.38 -> [4128] ~distinct_lines(N27_122_3, N27_122_3)
% 147.12/22.38 -> [4129] (distinct_lines(N27_122_3, N27_122_3) | distinct_lines(N27_122_3, N27_122_3))
% 147.12/22.38
% 147.12/22.38 [4129] BETA_OR : (distinct_lines(N27_122_3, N27_122_3) | distinct_lines(N27_122_3, N27_122_3))
% 147.12/22.38 -> [4132] distinct_lines(N27_122_3, N27_122_3)
% 147.12/22.38 -> [4133] distinct_lines(N27_122_3, N27_122_3)
% 147.12/22.38
% 147.12/22.38 [4133] CLOSURE : distinct_lines(N27_122_3, N27_122_3)
% 147.12/22.38
% 147.12/22.38 [4132] CLOSURE : distinct_lines(N27_122_3, N27_122_3)
% 147.12/22.38
% 147.12/22.38 [4128] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.38 -> [4232] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [4232] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.38 -> [4281] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [4281] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38 -> [4282] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38 -> [4283] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [4282] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [4283] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38 -> [4537] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38 -> [4538] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [4538] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [4537] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.38 -> [5778] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_78_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_78_6))) | (unequally_directed_lines(skolem_N7979, N34_78_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_78_6)))))
% 147.12/22.38
% 147.12/22.38 [5778] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_78_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_78_6))) | (unequally_directed_lines(skolem_N7979, N34_78_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_78_6)))))
% 147.12/22.38 -> [5781] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [5782] ((unequally_directed_lines(skolem_M7878, N34_78_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_78_6))) | (unequally_directed_lines(skolem_N7979, N34_78_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_78_6))))
% 147.12/22.38
% 147.12/22.38 [5781] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [5800] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [5801] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [5801] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [5800] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [5782] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_78_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_78_6))) | (unequally_directed_lines(skolem_N7979, N34_78_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_78_6))))
% 147.12/22.38 -> [10846] (unequally_directed_lines(skolem_M7878, N34_78_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_78_6)))
% 147.12/22.38 -> [10847] (unequally_directed_lines(skolem_N7979, N34_78_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_78_6)))
% 147.12/22.38
% 147.12/22.38 [10847] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_78_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_78_6)))
% 147.12/22.38 -> [10850] unequally_directed_lines(skolem_N7979, N34_78_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_78_6))
% 147.12/22.38
% 147.12/22.38 [10850] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.38 -> [11113] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [11113] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38 -> [11116] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.38 -> [11117] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [11116] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.38 -> [11134] ~line(reverse_line(skolem_N7979))
% 147.12/22.38 -> [11135] ~line(skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [11134] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [11195] ((unequally_directed_lines(skolem_N7979, M38_428_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_428_8))) => (left_convergent_lines(skolem_N7979, M38_428_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_428_8))))
% 147.12/22.38
% 147.12/22.38 [11195] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_428_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_428_8))) => (left_convergent_lines(skolem_N7979, M38_428_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_428_8))))
% 147.12/22.38 -> [11200] ~(unequally_directed_lines(skolem_N7979, M38_428_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_428_8)))
% 147.12/22.38 -> [11201] (left_convergent_lines(skolem_N7979, M38_428_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_428_8)))
% 147.12/22.38
% 147.12/22.38 [11201] BETA_OR : (left_convergent_lines(skolem_N7979, M38_428_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_428_8)))
% 147.12/22.38 -> [11208] left_convergent_lines(skolem_N7979, M38_428_8)
% 147.12/22.38 -> [11209] left_convergent_lines(skolem_N7979, reverse_line(M38_428_8))
% 147.12/22.38
% 147.12/22.38 [11208] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11288] ~(left_apart_point(A39_846_9, L40_846_9) | left_apart_point(A39_846_9, reverse_line(L40_846_9)))
% 147.12/22.38
% 147.12/22.38 [11288] ALPHA_NOT_OR : ~(left_apart_point(A39_846_9, L40_846_9) | left_apart_point(A39_846_9, reverse_line(L40_846_9)))
% 147.12/22.38 -> [11289] ~left_apart_point(A39_846_9, L40_846_9), ~left_apart_point(A39_846_9, reverse_line(L40_846_9))
% 147.12/22.38
% 147.12/22.38 [11289] CLOSURE : ~left_apart_point(A39_846_9, L40_846_9)
% 147.12/22.38
% 147.12/22.38 [11209] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11271] ~(left_apart_point(A39_844_9, L40_844_9) | left_apart_point(A39_844_9, reverse_line(L40_844_9)))
% 147.12/22.38
% 147.12/22.38 [11271] ALPHA_NOT_OR : ~(left_apart_point(A39_844_9, L40_844_9) | left_apart_point(A39_844_9, reverse_line(L40_844_9)))
% 147.12/22.38 -> [11272] ~left_apart_point(A39_844_9, L40_844_9), ~left_apart_point(A39_844_9, reverse_line(L40_844_9))
% 147.12/22.38
% 147.12/22.38 [11272] CLOSURE : ~left_apart_point(A39_844_9, L40_844_9)
% 147.12/22.38
% 147.12/22.38 [11200] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_428_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_428_8)))
% 147.12/22.38 -> [11215] ~unequally_directed_lines(skolem_N7979, M38_428_8)
% 147.12/22.38 -> [11216] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_428_8))
% 147.12/22.38
% 147.12/22.38 [11216] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_428_8))
% 147.12/22.38
% 147.12/22.38 [11215] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_428_8)
% 147.12/22.38
% 147.12/22.38 [11135] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [11190] ((unequally_directed_lines(skolem_N7979, M38_426_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_426_8))) => (left_convergent_lines(skolem_N7979, M38_426_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_426_8))))
% 147.12/22.38
% 147.12/22.38 [11190] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_426_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_426_8))) => (left_convergent_lines(skolem_N7979, M38_426_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_426_8))))
% 147.12/22.38 -> [11191] ~(unequally_directed_lines(skolem_N7979, M38_426_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_426_8)))
% 147.12/22.38 -> [11192] (left_convergent_lines(skolem_N7979, M38_426_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_426_8)))
% 147.12/22.38
% 147.12/22.38 [11191] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_426_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_426_8)))
% 147.12/22.38 -> [11426] ~unequally_directed_lines(skolem_N7979, M38_426_8)
% 147.12/22.38 -> [11427] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_426_8))
% 147.12/22.38
% 147.12/22.38 [11427] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_426_8))
% 147.12/22.38
% 147.12/22.38 [11426] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_426_8)
% 147.12/22.38
% 147.12/22.38 [11192] BETA_OR : (left_convergent_lines(skolem_N7979, M38_426_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_426_8)))
% 147.12/22.38 -> [11400] left_convergent_lines(skolem_N7979, M38_426_8)
% 147.12/22.38 -> [11401] left_convergent_lines(skolem_N7979, reverse_line(M38_426_8))
% 147.12/22.38
% 147.12/22.38 [11400] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11483] ~(left_apart_point(A39_880_9, L40_880_9) | left_apart_point(A39_880_9, reverse_line(L40_880_9)))
% 147.12/22.38
% 147.12/22.38 [11483] ALPHA_NOT_OR : ~(left_apart_point(A39_880_9, L40_880_9) | left_apart_point(A39_880_9, reverse_line(L40_880_9)))
% 147.12/22.38 -> [11487] ~left_apart_point(A39_880_9, L40_880_9), ~left_apart_point(A39_880_9, reverse_line(L40_880_9))
% 147.12/22.38
% 147.12/22.38 [11487] CLOSURE : ~left_apart_point(A39_880_9, L40_880_9)
% 147.12/22.38
% 147.12/22.38 [11401] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11470] ~(left_apart_point(A39_877_9, L40_877_9) | left_apart_point(A39_877_9, reverse_line(L40_877_9)))
% 147.12/22.38
% 147.12/22.38 [11470] ALPHA_NOT_OR : ~(left_apart_point(A39_877_9, L40_877_9) | left_apart_point(A39_877_9, reverse_line(L40_877_9)))
% 147.12/22.38 -> [11503] ~left_apart_point(A39_877_9, L40_877_9), ~left_apart_point(A39_877_9, reverse_line(L40_877_9))
% 147.12/22.38
% 147.12/22.38 [11503] CLOSURE : ~left_apart_point(A39_877_9, L40_877_9)
% 147.12/22.38
% 147.12/22.38 [11117] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38 -> [11123] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.12/22.38 -> [11124] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [11124] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [11123] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [11693] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [11693] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.38 -> [11696] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [11697] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [11697] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [11701] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [11702] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [11702] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11768] ~(left_apart_point(A39_898_9, L40_898_9) | left_apart_point(A39_898_9, reverse_line(L40_898_9)))
% 147.12/22.38
% 147.12/22.38 [11768] ALPHA_NOT_OR : ~(left_apart_point(A39_898_9, L40_898_9) | left_apart_point(A39_898_9, reverse_line(L40_898_9)))
% 147.12/22.38 -> [11771] ~left_apart_point(A39_898_9, L40_898_9), ~left_apart_point(A39_898_9, reverse_line(L40_898_9))
% 147.12/22.38
% 147.12/22.38 [11771] CLOSURE : ~left_apart_point(A39_898_9, L40_898_9)
% 147.12/22.38
% 147.12/22.38 [11701] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11782] ~(left_apart_point(A39_900_9, L40_900_9) | left_apart_point(A39_900_9, reverse_line(L40_900_9)))
% 147.12/22.38
% 147.12/22.38 [11782] ALPHA_NOT_OR : ~(left_apart_point(A39_900_9, L40_900_9) | left_apart_point(A39_900_9, reverse_line(L40_900_9)))
% 147.12/22.38 -> [11784] ~left_apart_point(A39_900_9, L40_900_9), ~left_apart_point(A39_900_9, reverse_line(L40_900_9))
% 147.12/22.38
% 147.12/22.38 [11784] CLOSURE : ~left_apart_point(A39_900_9, L40_900_9)
% 147.12/22.38
% 147.12/22.38 [11696] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [11717] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [11718] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [11718] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [11717] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [10846] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_78_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_78_6)))
% 147.12/22.38 -> [10863] unequally_directed_lines(skolem_M7878, N34_78_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_78_6))
% 147.12/22.38
% 147.12/22.38 [10863] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.38 -> [11079] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [11079] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38 -> [11080] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.38 -> [11081] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [11080] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.38 -> [11391] ~line(reverse_line(skolem_N7979))
% 147.12/22.38 -> [11392] ~line(skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [11391] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [11505] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [11505] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [11506] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [11507] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [11506] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [11559] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [11560] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [11559] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [11560] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [11507] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [11510] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [11511] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [11511] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11862] ~(left_apart_point(A39_910_9, L40_910_9) | left_apart_point(A39_910_9, reverse_line(L40_910_9)))
% 147.12/22.38
% 147.12/22.38 [11862] ALPHA_NOT_OR : ~(left_apart_point(A39_910_9, L40_910_9) | left_apart_point(A39_910_9, reverse_line(L40_910_9)))
% 147.12/22.38 -> [11865] ~left_apart_point(A39_910_9, L40_910_9), ~left_apart_point(A39_910_9, reverse_line(L40_910_9))
% 147.12/22.38
% 147.12/22.38 [11865] CLOSURE : ~left_apart_point(A39_910_9, L40_910_9)
% 147.12/22.38
% 147.12/22.38 [11510] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11913] ~(left_apart_point(A39_919_9, L40_919_9) | left_apart_point(A39_919_9, reverse_line(L40_919_9)))
% 147.12/22.38
% 147.12/22.38 [11913] ALPHA_NOT_OR : ~(left_apart_point(A39_919_9, L40_919_9) | left_apart_point(A39_919_9, reverse_line(L40_919_9)))
% 147.12/22.38 -> [11914] ~left_apart_point(A39_919_9, L40_919_9), ~left_apart_point(A39_919_9, reverse_line(L40_919_9))
% 147.12/22.38
% 147.12/22.38 [11914] CLOSURE : ~left_apart_point(A39_919_9, L40_919_9)
% 147.12/22.38
% 147.12/22.38 [11392] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [11514] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [11514] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [11516] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [11517] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [11516] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [11570] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [11571] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [11571] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [11570] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [11517] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [11521] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [11522] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [11521] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11881] ~(left_apart_point(A39_915_9, L40_915_9) | left_apart_point(A39_915_9, reverse_line(L40_915_9)))
% 147.12/22.38
% 147.12/22.38 [11881] ALPHA_NOT_OR : ~(left_apart_point(A39_915_9, L40_915_9) | left_apart_point(A39_915_9, reverse_line(L40_915_9)))
% 147.12/22.38 -> [11886] ~left_apart_point(A39_915_9, L40_915_9), ~left_apart_point(A39_915_9, reverse_line(L40_915_9))
% 147.12/22.38
% 147.12/22.38 [11886] CLOSURE : ~left_apart_point(A39_915_9, L40_915_9)
% 147.12/22.38
% 147.12/22.38 [11522] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [12382] ~(left_apart_point(A39_1004_9, L40_1004_9) | left_apart_point(A39_1004_9, reverse_line(L40_1004_9)))
% 147.12/22.38
% 147.12/22.38 [12382] ALPHA_NOT_OR : ~(left_apart_point(A39_1004_9, L40_1004_9) | left_apart_point(A39_1004_9, reverse_line(L40_1004_9)))
% 147.12/22.38 -> [12386] ~left_apart_point(A39_1004_9, L40_1004_9), ~left_apart_point(A39_1004_9, reverse_line(L40_1004_9))
% 147.12/22.38
% 147.12/22.38 [12386] CLOSURE : ~left_apart_point(A39_1004_9, L40_1004_9)
% 147.12/22.38
% 147.12/22.38 [11081] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38 -> [11088] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.12/22.38 -> [11089] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [11089] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [11088] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [12455] ((unequally_directed_lines(skolem_M7878, M38_520_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_520_8))) => (left_convergent_lines(skolem_M7878, M38_520_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_520_8))))
% 147.12/22.38
% 147.12/22.38 [12455] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_520_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_520_8))) => (left_convergent_lines(skolem_M7878, M38_520_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_520_8))))
% 147.12/22.38 -> [12456] ~(unequally_directed_lines(skolem_M7878, M38_520_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_520_8)))
% 147.12/22.38 -> [12457] (left_convergent_lines(skolem_M7878, M38_520_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_520_8)))
% 147.12/22.38
% 147.12/22.38 [12456] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_520_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_520_8)))
% 147.12/22.38 -> [12471] ~unequally_directed_lines(skolem_M7878, M38_520_8)
% 147.12/22.38 -> [12472] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_520_8))
% 147.12/22.38
% 147.12/22.38 [12472] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_520_8))
% 147.12/22.38
% 147.12/22.38 [12471] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_520_8)
% 147.12/22.38
% 147.12/22.38 [12457] BETA_OR : (left_convergent_lines(skolem_M7878, M38_520_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_520_8)))
% 147.12/22.38 -> [12458] left_convergent_lines(skolem_M7878, M38_520_8)
% 147.12/22.38 -> [12459] left_convergent_lines(skolem_M7878, reverse_line(M38_520_8))
% 147.12/22.38
% 147.12/22.38 [12458] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [12477] ~(left_apart_point(A39_1021_9, L40_1021_9) | left_apart_point(A39_1021_9, reverse_line(L40_1021_9)))
% 147.12/22.38
% 147.12/22.38 [12477] ALPHA_NOT_OR : ~(left_apart_point(A39_1021_9, L40_1021_9) | left_apart_point(A39_1021_9, reverse_line(L40_1021_9)))
% 147.12/22.38 -> [12480] ~left_apart_point(A39_1021_9, L40_1021_9), ~left_apart_point(A39_1021_9, reverse_line(L40_1021_9))
% 147.12/22.38
% 147.12/22.38 [12480] CLOSURE : ~left_apart_point(A39_1021_9, L40_1021_9)
% 147.12/22.38
% 147.12/22.38 [12459] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [12484] ~(left_apart_point(A39_1023_9, L40_1023_9) | left_apart_point(A39_1023_9, reverse_line(L40_1023_9)))
% 147.12/22.38
% 147.12/22.38 [12484] ALPHA_NOT_OR : ~(left_apart_point(A39_1023_9, L40_1023_9) | left_apart_point(A39_1023_9, reverse_line(L40_1023_9)))
% 147.12/22.38 -> [12486] ~left_apart_point(A39_1023_9, L40_1023_9), ~left_apart_point(A39_1023_9, reverse_line(L40_1023_9))
% 147.12/22.38
% 147.12/22.38 [12486] CLOSURE : ~left_apart_point(A39_1023_9, L40_1023_9)
% 147.12/22.38
% 147.12/22.38 [287] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.38 -> [880] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [880] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.38 -> [882] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.12/22.38 -> [883] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [883] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.38 -> [968] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.12/22.38 -> [969] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [969] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.38 -> [1003] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1003] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.38 -> [1024] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38
% 147.12/22.38 [1024] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38 -> [1120] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [1121] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38
% 147.12/22.38 [1120] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1121] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38 -> [2144] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [2145] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [2145] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [2144] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.38 -> [2823] ~distinct_lines(N27_80_3, N27_80_3)
% 147.12/22.38
% 147.12/22.38 [2823] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.38 -> [2861] (distinct_lines(N27_80_3, N27_80_3) => (distinct_lines(N27_80_3, N27_80_3) | distinct_lines(N27_80_3, N27_80_3)))
% 147.12/22.38
% 147.12/22.38 [2861] BETA_IMPLY : (distinct_lines(N27_80_3, N27_80_3) => (distinct_lines(N27_80_3, N27_80_3) | distinct_lines(N27_80_3, N27_80_3)))
% 147.12/22.38 -> [2862] ~distinct_lines(N27_80_3, N27_80_3)
% 147.12/22.38 -> [2863] (distinct_lines(N27_80_3, N27_80_3) | distinct_lines(N27_80_3, N27_80_3))
% 147.12/22.38
% 147.12/22.38 [2863] BETA_OR : (distinct_lines(N27_80_3, N27_80_3) | distinct_lines(N27_80_3, N27_80_3))
% 147.12/22.38 -> [2864] distinct_lines(N27_80_3, N27_80_3)
% 147.12/22.38 -> [2865] distinct_lines(N27_80_3, N27_80_3)
% 147.12/22.38
% 147.12/22.38 [2865] CLOSURE : distinct_lines(N27_80_3, N27_80_3)
% 147.12/22.38
% 147.12/22.38 [2864] CLOSURE : distinct_lines(N27_80_3, N27_80_3)
% 147.12/22.38
% 147.12/22.38 [2862] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.38 -> [2917] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [2917] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.38 -> [2994] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [2994] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38 -> [2995] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38 -> [2996] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [2995] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [2996] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38 -> [3246] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38 -> [3247] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [3247] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [3246] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.38 -> [4648] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_54_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_54_6))) | (unequally_directed_lines(skolem_N7979, N34_54_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_54_6)))))
% 147.12/22.38
% 147.12/22.38 [4648] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_54_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_54_6))) | (unequally_directed_lines(skolem_N7979, N34_54_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_54_6)))))
% 147.12/22.38 -> [4649] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [4650] ((unequally_directed_lines(skolem_M7878, N34_54_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_54_6))) | (unequally_directed_lines(skolem_N7979, N34_54_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_54_6))))
% 147.12/22.38
% 147.12/22.38 [4649] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [4658] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [4659] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [4659] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [4658] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [4650] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_54_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_54_6))) | (unequally_directed_lines(skolem_N7979, N34_54_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_54_6))))
% 147.12/22.38 -> [9695] (unequally_directed_lines(skolem_M7878, N34_54_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_54_6)))
% 147.12/22.38 -> [9696] (unequally_directed_lines(skolem_N7979, N34_54_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_54_6)))
% 147.12/22.38
% 147.12/22.38 [9695] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_54_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_54_6)))
% 147.12/22.38 -> [9724] unequally_directed_lines(skolem_M7878, N34_54_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_54_6))
% 147.12/22.38
% 147.12/22.38 [9724] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.38 -> [9906] ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.12/22.38
% 147.12/22.38 [9906] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.12/22.38 -> [9908] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.12/22.38 -> [9909] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.12/22.38
% 147.12/22.38 [9908] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.12/22.38 -> [9928] ~line(skolem_L7777)
% 147.12/22.38 -> [9929] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 147.12/22.38
% 147.12/22.38 [9928] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [10087] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [10087] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [10090] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10091] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [10090] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10157] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [10158] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10158] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10157] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [10091] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10096] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [10097] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10097] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10398] ~(left_apart_point(A39_737_9, L40_737_9) | left_apart_point(A39_737_9, reverse_line(L40_737_9)))
% 147.12/22.38
% 147.12/22.38 [10398] ALPHA_NOT_OR : ~(left_apart_point(A39_737_9, L40_737_9) | left_apart_point(A39_737_9, reverse_line(L40_737_9)))
% 147.12/22.38 -> [10402] ~left_apart_point(A39_737_9, L40_737_9), ~left_apart_point(A39_737_9, reverse_line(L40_737_9))
% 147.12/22.38
% 147.12/22.38 [10402] CLOSURE : ~left_apart_point(A39_737_9, L40_737_9)
% 147.12/22.38
% 147.12/22.38 [10096] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10451] ~(left_apart_point(A39_744_9, L40_744_9) | left_apart_point(A39_744_9, reverse_line(L40_744_9)))
% 147.12/22.38
% 147.12/22.38 [10451] ALPHA_NOT_OR : ~(left_apart_point(A39_744_9, L40_744_9) | left_apart_point(A39_744_9, reverse_line(L40_744_9)))
% 147.12/22.38 -> [10453] ~left_apart_point(A39_744_9, L40_744_9), ~left_apart_point(A39_744_9, reverse_line(L40_744_9))
% 147.12/22.38
% 147.12/22.38 [10453] CLOSURE : ~left_apart_point(A39_744_9, L40_744_9)
% 147.12/22.38
% 147.12/22.38 [9929] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [10007] ((unequally_directed_lines(skolem_M7878, M38_361_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_361_8))) => (left_convergent_lines(skolem_M7878, M38_361_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_361_8))))
% 147.12/22.38
% 147.12/22.38 [10007] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_361_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_361_8))) => (left_convergent_lines(skolem_M7878, M38_361_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_361_8))))
% 147.12/22.38 -> [10010] ~(unequally_directed_lines(skolem_M7878, M38_361_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_361_8)))
% 147.12/22.38 -> [10011] (left_convergent_lines(skolem_M7878, M38_361_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_361_8)))
% 147.12/22.38
% 147.12/22.38 [10011] BETA_OR : (left_convergent_lines(skolem_M7878, M38_361_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_361_8)))
% 147.12/22.38 -> [10018] left_convergent_lines(skolem_M7878, M38_361_8)
% 147.12/22.38 -> [10019] left_convergent_lines(skolem_M7878, reverse_line(M38_361_8))
% 147.12/22.38
% 147.12/22.38 [10019] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10355] ~(left_apart_point(A39_723_9, L40_723_9) | left_apart_point(A39_723_9, reverse_line(L40_723_9)))
% 147.12/22.38
% 147.12/22.38 [10355] ALPHA_NOT_OR : ~(left_apart_point(A39_723_9, L40_723_9) | left_apart_point(A39_723_9, reverse_line(L40_723_9)))
% 147.12/22.38 -> [10443] ~left_apart_point(A39_723_9, L40_723_9), ~left_apart_point(A39_723_9, reverse_line(L40_723_9))
% 147.12/22.38
% 147.12/22.38 [10443] CLOSURE : ~left_apart_point(A39_723_9, L40_723_9)
% 147.12/22.38
% 147.12/22.38 [10018] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10538] ~(left_apart_point(A39_756_9, L40_756_9) | left_apart_point(A39_756_9, reverse_line(L40_756_9)))
% 147.12/22.38
% 147.12/22.38 [10538] ALPHA_NOT_OR : ~(left_apart_point(A39_756_9, L40_756_9) | left_apart_point(A39_756_9, reverse_line(L40_756_9)))
% 147.12/22.38 -> [10539] ~left_apart_point(A39_756_9, L40_756_9), ~left_apart_point(A39_756_9, reverse_line(L40_756_9))
% 147.12/22.38
% 147.12/22.38 [10539] CLOSURE : ~left_apart_point(A39_756_9, L40_756_9)
% 147.12/22.38
% 147.12/22.38 [10010] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_361_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_361_8)))
% 147.12/22.38 -> [10115] ~unequally_directed_lines(skolem_M7878, M38_361_8)
% 147.12/22.38 -> [10116] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_361_8))
% 147.12/22.38
% 147.12/22.38 [10116] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_361_8))
% 147.12/22.38
% 147.12/22.38 [10115] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_361_8)
% 147.12/22.38
% 147.12/22.38 [9909] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.12/22.38 -> [9910] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.12/22.38 -> [9911] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.12/22.38
% 147.12/22.38 [9910] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.12/22.38
% 147.12/22.38 [9911] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [11276] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [11276] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [11278] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [11279] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [11278] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [11315] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [11316] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [11316] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [11315] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [11279] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [11286] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [11287] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [11287] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11393] ~(left_apart_point(A39_863_9, L40_863_9) | left_apart_point(A39_863_9, reverse_line(L40_863_9)))
% 147.12/22.38
% 147.12/22.38 [11393] ALPHA_NOT_OR : ~(left_apart_point(A39_863_9, L40_863_9) | left_apart_point(A39_863_9, reverse_line(L40_863_9)))
% 147.12/22.38 -> [11394] ~left_apart_point(A39_863_9, L40_863_9), ~left_apart_point(A39_863_9, reverse_line(L40_863_9))
% 147.12/22.38
% 147.12/22.38 [11394] CLOSURE : ~left_apart_point(A39_863_9, L40_863_9)
% 147.12/22.38
% 147.12/22.38 [11286] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11421] ~(left_apart_point(A39_869_9, L40_869_9) | left_apart_point(A39_869_9, reverse_line(L40_869_9)))
% 147.12/22.38
% 147.12/22.38 [11421] ALPHA_NOT_OR : ~(left_apart_point(A39_869_9, L40_869_9) | left_apart_point(A39_869_9, reverse_line(L40_869_9)))
% 147.12/22.38 -> [11423] ~left_apart_point(A39_869_9, L40_869_9), ~left_apart_point(A39_869_9, reverse_line(L40_869_9))
% 147.12/22.38
% 147.12/22.38 [11423] CLOSURE : ~left_apart_point(A39_869_9, L40_869_9)
% 147.12/22.38
% 147.12/22.38 [9696] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_54_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_54_6)))
% 147.12/22.38 -> [9700] unequally_directed_lines(skolem_N7979, N34_54_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_54_6))
% 147.12/22.38
% 147.12/22.38 [9700] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.38 -> [9873] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.12/22.38
% 147.12/22.38 [9873] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.12/22.38 -> [9874] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.38 -> [9875] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.12/22.38
% 147.12/22.38 [9874] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.38 -> [9895] ~line(skolem_L7777)
% 147.12/22.38 -> [9896] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.38
% 147.12/22.38 [9895] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [9978] ((unequally_directed_lines(skolem_N7979, M38_357_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_357_8))) => (left_convergent_lines(skolem_N7979, M38_357_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_357_8))))
% 147.12/22.38
% 147.12/22.38 [9978] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_357_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_357_8))) => (left_convergent_lines(skolem_N7979, M38_357_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_357_8))))
% 147.12/22.38 -> [9981] ~(unequally_directed_lines(skolem_N7979, M38_357_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_357_8)))
% 147.12/22.38 -> [9982] (left_convergent_lines(skolem_N7979, M38_357_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_357_8)))
% 147.12/22.38
% 147.12/22.38 [9981] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_357_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_357_8)))
% 147.12/22.38 -> [10034] ~unequally_directed_lines(skolem_N7979, M38_357_8)
% 147.12/22.38 -> [10035] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_357_8))
% 147.12/22.38
% 147.12/22.38 [10034] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_357_8)
% 147.12/22.38
% 147.12/22.38 [10035] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_357_8))
% 147.12/22.38
% 147.12/22.38 [9982] BETA_OR : (left_convergent_lines(skolem_N7979, M38_357_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_357_8)))
% 147.12/22.38 -> [9985] left_convergent_lines(skolem_N7979, M38_357_8)
% 147.12/22.38 -> [9986] left_convergent_lines(skolem_N7979, reverse_line(M38_357_8))
% 147.12/22.38
% 147.12/22.38 [9986] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10240] ~(left_apart_point(A39_708_9, L40_708_9) | left_apart_point(A39_708_9, reverse_line(L40_708_9)))
% 147.12/22.38
% 147.12/22.38 [10240] ALPHA_NOT_OR : ~(left_apart_point(A39_708_9, L40_708_9) | left_apart_point(A39_708_9, reverse_line(L40_708_9)))
% 147.12/22.38 -> [10241] ~left_apart_point(A39_708_9, L40_708_9), ~left_apart_point(A39_708_9, reverse_line(L40_708_9))
% 147.12/22.38
% 147.12/22.38 [10241] CLOSURE : ~left_apart_point(A39_708_9, L40_708_9)
% 147.12/22.38
% 147.12/22.38 [9985] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10656] ~(left_apart_point(A39_772_9, L40_772_9) | left_apart_point(A39_772_9, reverse_line(L40_772_9)))
% 147.12/22.38
% 147.12/22.38 [10656] ALPHA_NOT_OR : ~(left_apart_point(A39_772_9, L40_772_9) | left_apart_point(A39_772_9, reverse_line(L40_772_9)))
% 147.12/22.38 -> [10658] ~left_apart_point(A39_772_9, L40_772_9), ~left_apart_point(A39_772_9, reverse_line(L40_772_9))
% 147.12/22.38
% 147.12/22.38 [10658] CLOSURE : ~left_apart_point(A39_772_9, L40_772_9)
% 147.12/22.38
% 147.12/22.38 [9896] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [9956] ((unequally_directed_lines(skolem_N7979, M38_356_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_356_8))) => (left_convergent_lines(skolem_N7979, M38_356_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_356_8))))
% 147.12/22.38
% 147.12/22.38 [9956] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_356_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_356_8))) => (left_convergent_lines(skolem_N7979, M38_356_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_356_8))))
% 147.12/22.38 -> [9959] ~(unequally_directed_lines(skolem_N7979, M38_356_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_356_8)))
% 147.12/22.38 -> [9960] (left_convergent_lines(skolem_N7979, M38_356_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_356_8)))
% 147.12/22.38
% 147.12/22.38 [9959] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_356_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_356_8)))
% 147.12/22.38 -> [9993] ~unequally_directed_lines(skolem_N7979, M38_356_8)
% 147.12/22.38 -> [9994] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_356_8))
% 147.12/22.38
% 147.12/22.38 [9994] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_356_8))
% 147.12/22.38
% 147.12/22.38 [9993] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_356_8)
% 147.12/22.38
% 147.12/22.38 [9960] BETA_OR : (left_convergent_lines(skolem_N7979, M38_356_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_356_8)))
% 147.12/22.38 -> [9966] left_convergent_lines(skolem_N7979, M38_356_8)
% 147.12/22.38 -> [9967] left_convergent_lines(skolem_N7979, reverse_line(M38_356_8))
% 147.12/22.38
% 147.12/22.38 [9966] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10047] ~(left_apart_point(A39_691_9, L40_691_9) | left_apart_point(A39_691_9, reverse_line(L40_691_9)))
% 147.12/22.38
% 147.12/22.38 [10047] ALPHA_NOT_OR : ~(left_apart_point(A39_691_9, L40_691_9) | left_apart_point(A39_691_9, reverse_line(L40_691_9)))
% 147.12/22.38 -> [10050] ~left_apart_point(A39_691_9, L40_691_9), ~left_apart_point(A39_691_9, reverse_line(L40_691_9))
% 147.12/22.38
% 147.12/22.38 [10050] CLOSURE : ~left_apart_point(A39_691_9, L40_691_9)
% 147.12/22.38
% 147.12/22.38 [9967] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11173] ~(left_apart_point(A39_840_9, L40_840_9) | left_apart_point(A39_840_9, reverse_line(L40_840_9)))
% 147.12/22.38
% 147.12/22.38 [11173] ALPHA_NOT_OR : ~(left_apart_point(A39_840_9, L40_840_9) | left_apart_point(A39_840_9, reverse_line(L40_840_9)))
% 147.12/22.38 -> [11174] ~left_apart_point(A39_840_9, L40_840_9), ~left_apart_point(A39_840_9, reverse_line(L40_840_9))
% 147.12/22.38
% 147.12/22.38 [11174] CLOSURE : ~left_apart_point(A39_840_9, L40_840_9)
% 147.12/22.38
% 147.12/22.38 [9875] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.12/22.38 -> [9877] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.38 -> [9878] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.38
% 147.12/22.38 [9877] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.38
% 147.12/22.38 [9878] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [11564] ((unequally_directed_lines(skolem_N7979, M38_455_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_455_8))) => (left_convergent_lines(skolem_N7979, M38_455_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_455_8))))
% 147.12/22.38
% 147.12/22.38 [11564] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_455_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_455_8))) => (left_convergent_lines(skolem_N7979, M38_455_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_455_8))))
% 147.12/22.38 -> [11566] ~(unequally_directed_lines(skolem_N7979, M38_455_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_455_8)))
% 147.12/22.38 -> [11567] (left_convergent_lines(skolem_N7979, M38_455_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_455_8)))
% 147.12/22.38
% 147.12/22.38 [11566] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_455_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_455_8)))
% 147.12/22.38 -> [11575] ~unequally_directed_lines(skolem_N7979, M38_455_8)
% 147.12/22.38 -> [11576] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_455_8))
% 147.12/22.38
% 147.12/22.38 [11576] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_455_8))
% 147.12/22.38
% 147.12/22.38 [11575] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_455_8)
% 147.12/22.38
% 147.12/22.38 [11567] BETA_OR : (left_convergent_lines(skolem_N7979, M38_455_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_455_8)))
% 147.12/22.38 -> [11568] left_convergent_lines(skolem_N7979, M38_455_8)
% 147.12/22.38 -> [11569] left_convergent_lines(skolem_N7979, reverse_line(M38_455_8))
% 147.12/22.38
% 147.12/22.38 [11569] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11595] ~(left_apart_point(A39_890_9, L40_890_9) | left_apart_point(A39_890_9, reverse_line(L40_890_9)))
% 147.12/22.38
% 147.12/22.38 [11595] ALPHA_NOT_OR : ~(left_apart_point(A39_890_9, L40_890_9) | left_apart_point(A39_890_9, reverse_line(L40_890_9)))
% 147.12/22.38 -> [11596] ~left_apart_point(A39_890_9, L40_890_9), ~left_apart_point(A39_890_9, reverse_line(L40_890_9))
% 147.12/22.38
% 147.12/22.38 [11596] CLOSURE : ~left_apart_point(A39_890_9, L40_890_9)
% 147.12/22.38
% 147.12/22.38 [11568] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11608] ~(left_apart_point(A39_892_9, L40_892_9) | left_apart_point(A39_892_9, reverse_line(L40_892_9)))
% 147.12/22.38
% 147.12/22.38 [11608] ALPHA_NOT_OR : ~(left_apart_point(A39_892_9, L40_892_9) | left_apart_point(A39_892_9, reverse_line(L40_892_9)))
% 147.12/22.38 -> [11610] ~left_apart_point(A39_892_9, L40_892_9), ~left_apart_point(A39_892_9, reverse_line(L40_892_9))
% 147.12/22.38
% 147.12/22.38 [11610] CLOSURE : ~left_apart_point(A39_892_9, L40_892_9)
% 147.12/22.38
% 147.12/22.38 [968] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.38 -> [1013] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1013] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.38 -> [1051] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38
% 147.12/22.38 [1051] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38 -> [1054] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [1055] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38
% 147.12/22.38 [1054] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1055] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38 -> [1669] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [1670] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1670] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1669] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.38 -> [1685] ~distinct_lines(N27_15_3, N27_15_3)
% 147.12/22.38
% 147.12/22.38 [1685] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.38 -> [1694] (distinct_lines(N27_15_3, N27_15_3) => (distinct_lines(N27_15_3, N27_15_3) | distinct_lines(N27_15_3, N27_15_3)))
% 147.12/22.38
% 147.12/22.38 [1694] BETA_IMPLY : (distinct_lines(N27_15_3, N27_15_3) => (distinct_lines(N27_15_3, N27_15_3) | distinct_lines(N27_15_3, N27_15_3)))
% 147.12/22.38 -> [1696] ~distinct_lines(N27_15_3, N27_15_3)
% 147.12/22.38 -> [1697] (distinct_lines(N27_15_3, N27_15_3) | distinct_lines(N27_15_3, N27_15_3))
% 147.12/22.38
% 147.12/22.38 [1697] BETA_OR : (distinct_lines(N27_15_3, N27_15_3) | distinct_lines(N27_15_3, N27_15_3))
% 147.12/22.38 -> [1699] distinct_lines(N27_15_3, N27_15_3)
% 147.12/22.38 -> [1700] distinct_lines(N27_15_3, N27_15_3)
% 147.12/22.38
% 147.12/22.38 [1699] CLOSURE : distinct_lines(N27_15_3, N27_15_3)
% 147.12/22.38
% 147.12/22.38 [1700] CLOSURE : distinct_lines(N27_15_3, N27_15_3)
% 147.12/22.38
% 147.12/22.38 [1696] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.38 -> [1712] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [1712] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.38 -> [1725] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [1725] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38 -> [1726] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38 -> [1727] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [1726] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [1727] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38 -> [3989] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38 -> [3990] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [3990] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [3989] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.38 -> [5903] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_80_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_80_6))) | (unequally_directed_lines(skolem_N7979, N34_80_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_80_6)))))
% 147.12/22.38
% 147.12/22.38 [5903] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_80_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_80_6))) | (unequally_directed_lines(skolem_N7979, N34_80_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_80_6)))))
% 147.12/22.38 -> [5906] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [5907] ((unequally_directed_lines(skolem_M7878, N34_80_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_80_6))) | (unequally_directed_lines(skolem_N7979, N34_80_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_80_6))))
% 147.12/22.38
% 147.12/22.38 [5906] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [5968] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [5969] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [5969] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [5968] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [5907] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_80_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_80_6))) | (unequally_directed_lines(skolem_N7979, N34_80_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_80_6))))
% 147.12/22.38 -> [10083] (unequally_directed_lines(skolem_M7878, N34_80_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_80_6)))
% 147.12/22.38 -> [10084] (unequally_directed_lines(skolem_N7979, N34_80_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_80_6)))
% 147.12/22.38
% 147.12/22.38 [10084] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_80_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_80_6)))
% 147.12/22.38 -> [10089] unequally_directed_lines(skolem_N7979, N34_80_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_80_6))
% 147.12/22.38
% 147.12/22.38 [10089] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.38 -> [10175] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [10175] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38 -> [10179] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.38 -> [10180] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [10179] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.38 -> [10213] ~line(reverse_line(skolem_N7979))
% 147.12/22.38 -> [10214] ~line(skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [10213] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [10601] ((unequally_directed_lines(skolem_N7979, M38_396_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_396_8))) => (left_convergent_lines(skolem_N7979, M38_396_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_396_8))))
% 147.12/22.38
% 147.12/22.38 [10601] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_396_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_396_8))) => (left_convergent_lines(skolem_N7979, M38_396_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_396_8))))
% 147.12/22.38 -> [10604] ~(unequally_directed_lines(skolem_N7979, M38_396_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_396_8)))
% 147.12/22.38 -> [10605] (left_convergent_lines(skolem_N7979, M38_396_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_396_8)))
% 147.12/22.38
% 147.12/22.38 [10604] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_396_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_396_8)))
% 147.12/22.38 -> [10674] ~unequally_directed_lines(skolem_N7979, M38_396_8)
% 147.12/22.38 -> [10675] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_396_8))
% 147.12/22.38
% 147.12/22.38 [10675] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_396_8))
% 147.12/22.38
% 147.12/22.38 [10674] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_396_8)
% 147.12/22.38
% 147.12/22.38 [10605] BETA_OR : (left_convergent_lines(skolem_N7979, M38_396_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_396_8)))
% 147.12/22.38 -> [10610] left_convergent_lines(skolem_N7979, M38_396_8)
% 147.12/22.38 -> [10611] left_convergent_lines(skolem_N7979, reverse_line(M38_396_8))
% 147.12/22.38
% 147.12/22.38 [10611] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10820] ~(left_apart_point(A39_789_9, L40_789_9) | left_apart_point(A39_789_9, reverse_line(L40_789_9)))
% 147.12/22.38
% 147.12/22.38 [10820] ALPHA_NOT_OR : ~(left_apart_point(A39_789_9, L40_789_9) | left_apart_point(A39_789_9, reverse_line(L40_789_9)))
% 147.12/22.38 -> [10822] ~left_apart_point(A39_789_9, L40_789_9), ~left_apart_point(A39_789_9, reverse_line(L40_789_9))
% 147.12/22.38
% 147.12/22.38 [10822] CLOSURE : ~left_apart_point(A39_789_9, L40_789_9)
% 147.12/22.38
% 147.12/22.38 [10610] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10827] ~(left_apart_point(A39_791_9, L40_791_9) | left_apart_point(A39_791_9, reverse_line(L40_791_9)))
% 147.12/22.38
% 147.12/22.38 [10827] ALPHA_NOT_OR : ~(left_apart_point(A39_791_9, L40_791_9) | left_apart_point(A39_791_9, reverse_line(L40_791_9)))
% 147.12/22.38 -> [10833] ~left_apart_point(A39_791_9, L40_791_9), ~left_apart_point(A39_791_9, reverse_line(L40_791_9))
% 147.12/22.38
% 147.12/22.38 [10833] CLOSURE : ~left_apart_point(A39_791_9, L40_791_9)
% 147.12/22.38
% 147.12/22.38 [10214] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [10248] ((unequally_directed_lines(skolem_N7979, M38_375_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_375_8))) => (left_convergent_lines(skolem_N7979, M38_375_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_375_8))))
% 147.12/22.38
% 147.12/22.38 [10248] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_375_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_375_8))) => (left_convergent_lines(skolem_N7979, M38_375_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_375_8))))
% 147.12/22.38 -> [10249] ~(unequally_directed_lines(skolem_N7979, M38_375_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_375_8)))
% 147.12/22.38 -> [10250] (left_convergent_lines(skolem_N7979, M38_375_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_375_8)))
% 147.12/22.38
% 147.12/22.38 [10250] BETA_OR : (left_convergent_lines(skolem_N7979, M38_375_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_375_8)))
% 147.12/22.38 -> [10251] left_convergent_lines(skolem_N7979, M38_375_8)
% 147.12/22.38 -> [10252] left_convergent_lines(skolem_N7979, reverse_line(M38_375_8))
% 147.12/22.38
% 147.12/22.38 [10252] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10365] ~(left_apart_point(A39_727_9, L40_727_9) | left_apart_point(A39_727_9, reverse_line(L40_727_9)))
% 147.12/22.38
% 147.12/22.38 [10365] ALPHA_NOT_OR : ~(left_apart_point(A39_727_9, L40_727_9) | left_apart_point(A39_727_9, reverse_line(L40_727_9)))
% 147.12/22.38 -> [10366] ~left_apart_point(A39_727_9, L40_727_9), ~left_apart_point(A39_727_9, reverse_line(L40_727_9))
% 147.12/22.38
% 147.12/22.38 [10366] CLOSURE : ~left_apart_point(A39_727_9, L40_727_9)
% 147.12/22.38
% 147.12/22.38 [10251] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10500] ~(left_apart_point(A39_754_9, L40_754_9) | left_apart_point(A39_754_9, reverse_line(L40_754_9)))
% 147.12/22.38
% 147.12/22.38 [10500] ALPHA_NOT_OR : ~(left_apart_point(A39_754_9, L40_754_9) | left_apart_point(A39_754_9, reverse_line(L40_754_9)))
% 147.12/22.38 -> [10501] ~left_apart_point(A39_754_9, L40_754_9), ~left_apart_point(A39_754_9, reverse_line(L40_754_9))
% 147.12/22.38
% 147.12/22.38 [10501] CLOSURE : ~left_apart_point(A39_754_9, L40_754_9)
% 147.12/22.38
% 147.12/22.38 [10249] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_375_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_375_8)))
% 147.12/22.38 -> [10602] ~unequally_directed_lines(skolem_N7979, M38_375_8)
% 147.12/22.38 -> [10603] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_375_8))
% 147.12/22.38
% 147.12/22.38 [10603] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_375_8))
% 147.12/22.38
% 147.12/22.38 [10602] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_375_8)
% 147.12/22.38
% 147.12/22.38 [10180] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38 -> [10186] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.12/22.38 -> [10187] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [10187] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [10186] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [11688] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [11688] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.38 -> [11689] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [11690] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [11689] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [11759] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [11760] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [11760] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [11759] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [11690] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [11698] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [11699] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [11699] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11897] ~(left_apart_point(A39_916_9, L40_916_9) | left_apart_point(A39_916_9, reverse_line(L40_916_9)))
% 147.12/22.38
% 147.12/22.38 [11897] ALPHA_NOT_OR : ~(left_apart_point(A39_916_9, L40_916_9) | left_apart_point(A39_916_9, reverse_line(L40_916_9)))
% 147.12/22.38 -> [11900] ~left_apart_point(A39_916_9, L40_916_9), ~left_apart_point(A39_916_9, reverse_line(L40_916_9))
% 147.12/22.38
% 147.12/22.38 [11900] CLOSURE : ~left_apart_point(A39_916_9, L40_916_9)
% 147.12/22.38
% 147.12/22.38 [11698] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11916] ~(left_apart_point(A39_921_9, L40_921_9) | left_apart_point(A39_921_9, reverse_line(L40_921_9)))
% 147.12/22.38
% 147.12/22.38 [11916] ALPHA_NOT_OR : ~(left_apart_point(A39_921_9, L40_921_9) | left_apart_point(A39_921_9, reverse_line(L40_921_9)))
% 147.12/22.38 -> [11920] ~left_apart_point(A39_921_9, L40_921_9), ~left_apart_point(A39_921_9, reverse_line(L40_921_9))
% 147.12/22.38
% 147.12/22.38 [11920] CLOSURE : ~left_apart_point(A39_921_9, L40_921_9)
% 147.12/22.38
% 147.12/22.38 [10083] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_80_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_80_6)))
% 147.12/22.38 -> [10117] unequally_directed_lines(skolem_M7878, N34_80_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_80_6))
% 147.12/22.38
% 147.12/22.38 [10117] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.38 -> [10197] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.12/22.38
% 147.12/22.38 [10197] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.12/22.38 -> [10202] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.38 -> [10203] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.12/22.38
% 147.12/22.38 [10202] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.38 -> [10224] ~line(skolem_L7777)
% 147.12/22.38 -> [10225] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.38
% 147.12/22.38 [10224] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [10485] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [10485] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [10486] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10487] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [10487] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10488] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [10489] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10489] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10643] ~(left_apart_point(A39_770_9, L40_770_9) | left_apart_point(A39_770_9, reverse_line(L40_770_9)))
% 147.12/22.38
% 147.12/22.38 [10643] ALPHA_NOT_OR : ~(left_apart_point(A39_770_9, L40_770_9) | left_apart_point(A39_770_9, reverse_line(L40_770_9)))
% 147.12/22.38 -> [10646] ~left_apart_point(A39_770_9, L40_770_9), ~left_apart_point(A39_770_9, reverse_line(L40_770_9))
% 147.12/22.38
% 147.12/22.38 [10646] CLOSURE : ~left_apart_point(A39_770_9, L40_770_9)
% 147.12/22.38
% 147.12/22.38 [10488] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10955] ~(left_apart_point(A39_811_9, L40_811_9) | left_apart_point(A39_811_9, reverse_line(L40_811_9)))
% 147.12/22.38
% 147.12/22.38 [10955] ALPHA_NOT_OR : ~(left_apart_point(A39_811_9, L40_811_9) | left_apart_point(A39_811_9, reverse_line(L40_811_9)))
% 147.12/22.38 -> [10956] ~left_apart_point(A39_811_9, L40_811_9), ~left_apart_point(A39_811_9, reverse_line(L40_811_9))
% 147.12/22.38
% 147.12/22.38 [10956] CLOSURE : ~left_apart_point(A39_811_9, L40_811_9)
% 147.12/22.38
% 147.12/22.38 [10486] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10546] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [10547] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10546] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [10547] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10225] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [10549] ((unequally_directed_lines(skolem_M7878, M38_394_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_394_8))) => (left_convergent_lines(skolem_M7878, M38_394_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_394_8))))
% 147.12/22.38
% 147.12/22.38 [10549] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_394_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_394_8))) => (left_convergent_lines(skolem_M7878, M38_394_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_394_8))))
% 147.12/22.38 -> [10551] ~(unequally_directed_lines(skolem_M7878, M38_394_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_394_8)))
% 147.12/22.38 -> [10552] (left_convergent_lines(skolem_M7878, M38_394_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_394_8)))
% 147.12/22.38
% 147.12/22.38 [10552] BETA_OR : (left_convergent_lines(skolem_M7878, M38_394_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_394_8)))
% 147.12/22.38 -> [10553] left_convergent_lines(skolem_M7878, M38_394_8)
% 147.12/22.38 -> [10554] left_convergent_lines(skolem_M7878, reverse_line(M38_394_8))
% 147.12/22.38
% 147.12/22.38 [10554] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10676] ~(left_apart_point(A39_774_9, L40_774_9) | left_apart_point(A39_774_9, reverse_line(L40_774_9)))
% 147.12/22.38
% 147.12/22.38 [10676] ALPHA_NOT_OR : ~(left_apart_point(A39_774_9, L40_774_9) | left_apart_point(A39_774_9, reverse_line(L40_774_9)))
% 147.12/22.38 -> [10678] ~left_apart_point(A39_774_9, L40_774_9), ~left_apart_point(A39_774_9, reverse_line(L40_774_9))
% 147.12/22.38
% 147.12/22.38 [10678] CLOSURE : ~left_apart_point(A39_774_9, L40_774_9)
% 147.12/22.38
% 147.12/22.38 [10553] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10690] ~(left_apart_point(A39_778_9, L40_778_9) | left_apart_point(A39_778_9, reverse_line(L40_778_9)))
% 147.12/22.38
% 147.12/22.38 [10690] ALPHA_NOT_OR : ~(left_apart_point(A39_778_9, L40_778_9) | left_apart_point(A39_778_9, reverse_line(L40_778_9)))
% 147.12/22.38 -> [10692] ~left_apart_point(A39_778_9, L40_778_9), ~left_apart_point(A39_778_9, reverse_line(L40_778_9))
% 147.12/22.38
% 147.12/22.38 [10692] CLOSURE : ~left_apart_point(A39_778_9, L40_778_9)
% 147.12/22.38
% 147.12/22.38 [10551] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_394_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_394_8)))
% 147.12/22.38 -> [10561] ~unequally_directed_lines(skolem_M7878, M38_394_8)
% 147.12/22.38 -> [10562] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_394_8))
% 147.12/22.38
% 147.12/22.38 [10561] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_394_8)
% 147.12/22.38
% 147.12/22.38 [10562] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_394_8))
% 147.12/22.38
% 147.12/22.38 [10203] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.12/22.38 -> [10208] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.38 -> [10209] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.38
% 147.12/22.38 [10208] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.38
% 147.12/22.38 [10209] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [12299] ((unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [12299] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))))
% 147.12/22.38 -> [12301] ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [12302] (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [12302] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [12309] left_convergent_lines(skolem_L7777, skolem_N7979)
% 147.12/22.38 -> [12310] left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [12310] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [12528] ~(left_apart_point(A39_1038_9, L40_1038_9) | left_apart_point(A39_1038_9, reverse_line(L40_1038_9)))
% 147.12/22.38
% 147.12/22.38 [12528] ALPHA_NOT_OR : ~(left_apart_point(A39_1038_9, L40_1038_9) | left_apart_point(A39_1038_9, reverse_line(L40_1038_9)))
% 147.12/22.38 -> [12529] ~left_apart_point(A39_1038_9, L40_1038_9), ~left_apart_point(A39_1038_9, reverse_line(L40_1038_9))
% 147.12/22.38
% 147.12/22.38 [12529] CLOSURE : ~left_apart_point(A39_1038_9, L40_1038_9)
% 147.12/22.38
% 147.12/22.38 [12309] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [12530] ~(left_apart_point(A39_1039_9, L40_1039_9) | left_apart_point(A39_1039_9, reverse_line(L40_1039_9)))
% 147.12/22.38
% 147.12/22.38 [12530] ALPHA_NOT_OR : ~(left_apart_point(A39_1039_9, L40_1039_9) | left_apart_point(A39_1039_9, reverse_line(L40_1039_9)))
% 147.12/22.38 -> [12531] ~left_apart_point(A39_1039_9, L40_1039_9), ~left_apart_point(A39_1039_9, reverse_line(L40_1039_9))
% 147.12/22.38
% 147.12/22.38 [12531] CLOSURE : ~left_apart_point(A39_1039_9, L40_1039_9)
% 147.12/22.38
% 147.12/22.38 [12301] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [12324] ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 147.12/22.38 -> [12325] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [12324] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [12325] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [882] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.38 -> [978] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.12/22.38 -> [979] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [979] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.38 -> [1007] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1007] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.38 -> [1027] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38
% 147.12/22.38 [1027] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38 -> [1028] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [1029] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38
% 147.12/22.38 [1028] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1029] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38 -> [1870] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [1871] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1871] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1870] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.38 -> [2389] ~distinct_lines(N27_88_3, N27_88_3)
% 147.12/22.38
% 147.12/22.38 [2389] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.38 -> [2944] (distinct_lines(N27_88_3, N27_88_3) => (distinct_lines(N27_88_3, N27_88_3) | distinct_lines(N27_88_3, N27_88_3)))
% 147.12/22.38
% 147.12/22.38 [2944] BETA_IMPLY : (distinct_lines(N27_88_3, N27_88_3) => (distinct_lines(N27_88_3, N27_88_3) | distinct_lines(N27_88_3, N27_88_3)))
% 147.12/22.38 -> [2945] ~distinct_lines(N27_88_3, N27_88_3)
% 147.12/22.38 -> [2946] (distinct_lines(N27_88_3, N27_88_3) | distinct_lines(N27_88_3, N27_88_3))
% 147.12/22.38
% 147.12/22.38 [2946] BETA_OR : (distinct_lines(N27_88_3, N27_88_3) | distinct_lines(N27_88_3, N27_88_3))
% 147.12/22.38 -> [2950] distinct_lines(N27_88_3, N27_88_3)
% 147.12/22.38 -> [2951] distinct_lines(N27_88_3, N27_88_3)
% 147.12/22.38
% 147.12/22.38 [2950] CLOSURE : distinct_lines(N27_88_3, N27_88_3)
% 147.12/22.38
% 147.12/22.38 [2951] CLOSURE : distinct_lines(N27_88_3, N27_88_3)
% 147.12/22.38
% 147.12/22.38 [2945] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.38 -> [3026] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [3026] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.38 -> [3098] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [3098] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.12/22.38 -> [3099] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38 -> [3100] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [3099] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [3100] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.12/22.38 -> [5468] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38 -> [5469] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [5468] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [5469] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.38 -> [6842] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.38
% 147.12/22.38 [6842] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.38 -> [6844] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [6845] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [6844] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [6869] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [6870] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [6869] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [6870] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [6845] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [10073] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10074] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [10073] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10082] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10082] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [10074] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10075] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10075] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.38 -> [10120] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [10120] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [10121] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.38 -> [10122] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [10122] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10133] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38 -> [10134] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10133] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [10134] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [10194] ((unequally_directed_lines(skolem_N7979, M38_372_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_372_8))) => (left_convergent_lines(skolem_N7979, M38_372_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_372_8))))
% 147.12/22.38
% 147.12/22.38 [10194] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_372_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_372_8))) => (left_convergent_lines(skolem_N7979, M38_372_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_372_8))))
% 147.12/22.38 -> [10198] ~(unequally_directed_lines(skolem_N7979, M38_372_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_372_8)))
% 147.12/22.38 -> [10199] (left_convergent_lines(skolem_N7979, M38_372_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_372_8)))
% 147.12/22.38
% 147.12/22.38 [10199] BETA_OR : (left_convergent_lines(skolem_N7979, M38_372_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_372_8)))
% 147.12/22.38 -> [10206] left_convergent_lines(skolem_N7979, M38_372_8)
% 147.12/22.38 -> [10207] left_convergent_lines(skolem_N7979, reverse_line(M38_372_8))
% 147.12/22.38
% 147.12/22.38 [10207] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10264] ~(left_apart_point(A39_715_9, L40_715_9) | left_apart_point(A39_715_9, reverse_line(L40_715_9)))
% 147.12/22.38
% 147.12/22.38 [10264] ALPHA_NOT_OR : ~(left_apart_point(A39_715_9, L40_715_9) | left_apart_point(A39_715_9, reverse_line(L40_715_9)))
% 147.12/22.38 -> [10269] ~left_apart_point(A39_715_9, L40_715_9), ~left_apart_point(A39_715_9, reverse_line(L40_715_9))
% 147.12/22.38
% 147.12/22.38 [10269] CLOSURE : ~left_apart_point(A39_715_9, L40_715_9)
% 147.12/22.38
% 147.12/22.38 [10206] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10281] ~(left_apart_point(A39_717_9, L40_717_9) | left_apart_point(A39_717_9, reverse_line(L40_717_9)))
% 147.12/22.38
% 147.12/22.38 [10281] ALPHA_NOT_OR : ~(left_apart_point(A39_717_9, L40_717_9) | left_apart_point(A39_717_9, reverse_line(L40_717_9)))
% 147.12/22.38 -> [10284] ~left_apart_point(A39_717_9, L40_717_9), ~left_apart_point(A39_717_9, reverse_line(L40_717_9))
% 147.12/22.38
% 147.12/22.38 [10284] CLOSURE : ~left_apart_point(A39_717_9, L40_717_9)
% 147.12/22.38
% 147.12/22.38 [10198] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_372_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_372_8)))
% 147.12/22.38 -> [10236] ~unequally_directed_lines(skolem_N7979, M38_372_8)
% 147.12/22.38 -> [10237] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_372_8))
% 147.12/22.38
% 147.12/22.38 [10237] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_372_8))
% 147.12/22.38
% 147.12/22.38 [10236] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_372_8)
% 147.12/22.38
% 147.12/22.38 [10121] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.38 -> [10140] ~line(skolem_M7878)
% 147.12/22.38 -> [10141] ~line(skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [10140] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [10212] ((unequally_directed_lines(skolem_N7979, M38_374_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_374_8))) => (left_convergent_lines(skolem_N7979, M38_374_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_374_8))))
% 147.12/22.38
% 147.12/22.38 [10212] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_374_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_374_8))) => (left_convergent_lines(skolem_N7979, M38_374_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_374_8))))
% 147.12/22.38 -> [10215] ~(unequally_directed_lines(skolem_N7979, M38_374_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_374_8)))
% 147.12/22.38 -> [10216] (left_convergent_lines(skolem_N7979, M38_374_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_374_8)))
% 147.12/22.38
% 147.12/22.38 [10215] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_374_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_374_8)))
% 147.12/22.38 -> [10242] ~unequally_directed_lines(skolem_N7979, M38_374_8)
% 147.12/22.38 -> [10243] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_374_8))
% 147.12/22.38
% 147.12/22.38 [10243] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_374_8))
% 147.12/22.38
% 147.12/22.38 [10242] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_374_8)
% 147.12/22.38
% 147.12/22.38 [10216] BETA_OR : (left_convergent_lines(skolem_N7979, M38_374_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_374_8)))
% 147.12/22.38 -> [10222] left_convergent_lines(skolem_N7979, M38_374_8)
% 147.12/22.38 -> [10223] left_convergent_lines(skolem_N7979, reverse_line(M38_374_8))
% 147.12/22.38
% 147.12/22.38 [10222] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10498] ~(left_apart_point(A39_753_9, L40_753_9) | left_apart_point(A39_753_9, reverse_line(L40_753_9)))
% 147.12/22.38
% 147.12/22.38 [10498] ALPHA_NOT_OR : ~(left_apart_point(A39_753_9, L40_753_9) | left_apart_point(A39_753_9, reverse_line(L40_753_9)))
% 147.12/22.38 -> [10499] ~left_apart_point(A39_753_9, L40_753_9), ~left_apart_point(A39_753_9, reverse_line(L40_753_9))
% 147.12/22.38
% 147.12/22.38 [10499] CLOSURE : ~left_apart_point(A39_753_9, L40_753_9)
% 147.12/22.38
% 147.12/22.38 [10223] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10590] ~(left_apart_point(A39_765_9, L40_765_9) | left_apart_point(A39_765_9, reverse_line(L40_765_9)))
% 147.12/22.38
% 147.12/22.38 [10590] ALPHA_NOT_OR : ~(left_apart_point(A39_765_9, L40_765_9) | left_apart_point(A39_765_9, reverse_line(L40_765_9)))
% 147.12/22.38 -> [10591] ~left_apart_point(A39_765_9, L40_765_9), ~left_apart_point(A39_765_9, reverse_line(L40_765_9))
% 147.12/22.38
% 147.12/22.38 [10591] CLOSURE : ~left_apart_point(A39_765_9, L40_765_9)
% 147.12/22.38
% 147.12/22.38 [10141] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [10171] ((unequally_directed_lines(skolem_N7979, M38_369_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_369_8))) => (left_convergent_lines(skolem_N7979, M38_369_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_369_8))))
% 147.12/22.38
% 147.12/22.38 [10171] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_369_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_369_8))) => (left_convergent_lines(skolem_N7979, M38_369_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_369_8))))
% 147.12/22.38 -> [10173] ~(unequally_directed_lines(skolem_N7979, M38_369_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_369_8)))
% 147.12/22.38 -> [10174] (left_convergent_lines(skolem_N7979, M38_369_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_369_8)))
% 147.12/22.38
% 147.12/22.38 [10174] BETA_OR : (left_convergent_lines(skolem_N7979, M38_369_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_369_8)))
% 147.12/22.38 -> [10182] left_convergent_lines(skolem_N7979, M38_369_8)
% 147.12/22.38 -> [10183] left_convergent_lines(skolem_N7979, reverse_line(M38_369_8))
% 147.12/22.38
% 147.12/22.38 [10182] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10275] ~(left_apart_point(A39_716_9, L40_716_9) | left_apart_point(A39_716_9, reverse_line(L40_716_9)))
% 147.12/22.38
% 147.12/22.38 [10275] ALPHA_NOT_OR : ~(left_apart_point(A39_716_9, L40_716_9) | left_apart_point(A39_716_9, reverse_line(L40_716_9)))
% 147.12/22.38 -> [10278] ~left_apart_point(A39_716_9, L40_716_9), ~left_apart_point(A39_716_9, reverse_line(L40_716_9))
% 147.12/22.38
% 147.12/22.38 [10278] CLOSURE : ~left_apart_point(A39_716_9, L40_716_9)
% 147.12/22.38
% 147.12/22.38 [10183] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10257] ~(left_apart_point(A39_712_9, L40_712_9) | left_apart_point(A39_712_9, reverse_line(L40_712_9)))
% 147.12/22.38
% 147.12/22.38 [10257] ALPHA_NOT_OR : ~(left_apart_point(A39_712_9, L40_712_9) | left_apart_point(A39_712_9, reverse_line(L40_712_9)))
% 147.12/22.38 -> [10356] ~left_apart_point(A39_712_9, L40_712_9), ~left_apart_point(A39_712_9, reverse_line(L40_712_9))
% 147.12/22.38
% 147.12/22.38 [10356] CLOSURE : ~left_apart_point(A39_712_9, L40_712_9)
% 147.12/22.38
% 147.12/22.38 [10173] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_369_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_369_8)))
% 147.12/22.38 -> [10228] ~unequally_directed_lines(skolem_N7979, M38_369_8)
% 147.12/22.38 -> [10229] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_369_8))
% 147.12/22.38
% 147.12/22.38 [10229] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_369_8))
% 147.12/22.38
% 147.12/22.38 [10228] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_369_8)
% 147.12/22.38
% 147.12/22.38 [978] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.38 -> [1019] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1019] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.38 -> [1106] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38
% 147.12/22.38 [1106] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38 -> [1107] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [1108] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38
% 147.12/22.38 [1107] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1108] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38 -> [1807] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [1808] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1808] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1807] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.38 -> [2178] ~distinct_lines(N27_92_3, N27_92_3)
% 147.12/22.38
% 147.12/22.38 [2178] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.38 -> [3038] (distinct_lines(N27_92_3, N27_92_3) => (distinct_lines(N27_92_3, N27_92_3) | distinct_lines(N27_92_3, N27_92_3)))
% 147.12/22.38
% 147.12/22.38 [3038] BETA_IMPLY : (distinct_lines(N27_92_3, N27_92_3) => (distinct_lines(N27_92_3, N27_92_3) | distinct_lines(N27_92_3, N27_92_3)))
% 147.12/22.38 -> [3039] ~distinct_lines(N27_92_3, N27_92_3)
% 147.12/22.38 -> [3040] (distinct_lines(N27_92_3, N27_92_3) | distinct_lines(N27_92_3, N27_92_3))
% 147.12/22.38
% 147.12/22.38 [3040] BETA_OR : (distinct_lines(N27_92_3, N27_92_3) | distinct_lines(N27_92_3, N27_92_3))
% 147.12/22.38 -> [3042] distinct_lines(N27_92_3, N27_92_3)
% 147.12/22.38 -> [3043] distinct_lines(N27_92_3, N27_92_3)
% 147.12/22.38
% 147.12/22.38 [3043] CLOSURE : distinct_lines(N27_92_3, N27_92_3)
% 147.12/22.38
% 147.12/22.38 [3042] CLOSURE : distinct_lines(N27_92_3, N27_92_3)
% 147.12/22.38
% 147.12/22.38 [3039] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.38 -> [3146] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [3146] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.38 -> [3392] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [3392] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38 -> [3418] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38 -> [3419] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [3418] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [3419] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38 -> [4529] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38 -> [4530] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [4530] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [4529] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.38 -> [8607] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_111_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_111_6))) | (unequally_directed_lines(skolem_N7979, N34_111_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_111_6)))))
% 147.12/22.38
% 147.12/22.38 [8607] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_111_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_111_6))) | (unequally_directed_lines(skolem_N7979, N34_111_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_111_6)))))
% 147.12/22.38 -> [8608] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [8609] ((unequally_directed_lines(skolem_M7878, N34_111_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_111_6))) | (unequally_directed_lines(skolem_N7979, N34_111_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_111_6))))
% 147.12/22.38
% 147.12/22.38 [8608] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [8638] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [8639] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [8639] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [8638] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [8609] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_111_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_111_6))) | (unequally_directed_lines(skolem_N7979, N34_111_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_111_6))))
% 147.12/22.38 -> [9888] (unequally_directed_lines(skolem_M7878, N34_111_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_111_6)))
% 147.12/22.38 -> [9889] (unequally_directed_lines(skolem_N7979, N34_111_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_111_6)))
% 147.12/22.38
% 147.12/22.38 [9889] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_111_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_111_6)))
% 147.12/22.38 -> [9892] unequally_directed_lines(skolem_N7979, N34_111_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_111_6))
% 147.12/22.38
% 147.12/22.38 [9892] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.38 -> [9932] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [9932] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.38 -> [9934] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.38 -> [9935] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [9935] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.38 -> [9940] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.12/22.38 -> [9941] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [9941] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [9940] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [10648] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [10648] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.38 -> [10649] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [10650] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [10649] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [10664] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [10665] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [10665] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [10664] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [10650] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [10653] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [10654] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [10654] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10684] ~(left_apart_point(A39_776_9, L40_776_9) | left_apart_point(A39_776_9, reverse_line(L40_776_9)))
% 147.12/22.38
% 147.12/22.38 [10684] ALPHA_NOT_OR : ~(left_apart_point(A39_776_9, L40_776_9) | left_apart_point(A39_776_9, reverse_line(L40_776_9)))
% 147.12/22.38 -> [10687] ~left_apart_point(A39_776_9, L40_776_9), ~left_apart_point(A39_776_9, reverse_line(L40_776_9))
% 147.12/22.38
% 147.12/22.38 [10687] CLOSURE : ~left_apart_point(A39_776_9, L40_776_9)
% 147.12/22.38
% 147.12/22.38 [10653] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10702] ~(left_apart_point(A39_779_9, L40_779_9) | left_apart_point(A39_779_9, reverse_line(L40_779_9)))
% 147.12/22.38
% 147.12/22.38 [10702] ALPHA_NOT_OR : ~(left_apart_point(A39_779_9, L40_779_9) | left_apart_point(A39_779_9, reverse_line(L40_779_9)))
% 147.12/22.38 -> [10703] ~left_apart_point(A39_779_9, L40_779_9), ~left_apart_point(A39_779_9, reverse_line(L40_779_9))
% 147.12/22.38
% 147.12/22.38 [10703] CLOSURE : ~left_apart_point(A39_779_9, L40_779_9)
% 147.12/22.38
% 147.12/22.38 [9934] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.38 -> [9974] ~line(reverse_line(skolem_N7979))
% 147.12/22.38 -> [9975] ~line(skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [9975] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [10189] ((unequally_directed_lines(skolem_N7979, M38_371_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_371_8))) => (left_convergent_lines(skolem_N7979, M38_371_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_371_8))))
% 147.12/22.38
% 147.12/22.38 [10189] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_371_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_371_8))) => (left_convergent_lines(skolem_N7979, M38_371_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_371_8))))
% 147.12/22.38 -> [10192] ~(unequally_directed_lines(skolem_N7979, M38_371_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_371_8)))
% 147.12/22.38 -> [10193] (left_convergent_lines(skolem_N7979, M38_371_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_371_8)))
% 147.12/22.38
% 147.12/22.38 [10192] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_371_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_371_8)))
% 147.12/22.38 -> [10246] ~unequally_directed_lines(skolem_N7979, M38_371_8)
% 147.12/22.38 -> [10247] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_371_8))
% 147.12/22.38
% 147.12/22.38 [10247] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_371_8))
% 147.12/22.38
% 147.12/22.38 [10246] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_371_8)
% 147.12/22.38
% 147.12/22.38 [10193] BETA_OR : (left_convergent_lines(skolem_N7979, M38_371_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_371_8)))
% 147.12/22.38 -> [10204] left_convergent_lines(skolem_N7979, M38_371_8)
% 147.12/22.38 -> [10205] left_convergent_lines(skolem_N7979, reverse_line(M38_371_8))
% 147.12/22.38
% 147.12/22.38 [10205] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10300] ~(left_apart_point(A39_720_9, L40_720_9) | left_apart_point(A39_720_9, reverse_line(L40_720_9)))
% 147.12/22.38
% 147.12/22.38 [10300] ALPHA_NOT_OR : ~(left_apart_point(A39_720_9, L40_720_9) | left_apart_point(A39_720_9, reverse_line(L40_720_9)))
% 147.12/22.38 -> [10302] ~left_apart_point(A39_720_9, L40_720_9), ~left_apart_point(A39_720_9, reverse_line(L40_720_9))
% 147.12/22.38
% 147.12/22.38 [10302] CLOSURE : ~left_apart_point(A39_720_9, L40_720_9)
% 147.12/22.38
% 147.12/22.38 [10204] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10339] ~(left_apart_point(A39_722_9, L40_722_9) | left_apart_point(A39_722_9, reverse_line(L40_722_9)))
% 147.12/22.38
% 147.12/22.38 [10339] ALPHA_NOT_OR : ~(left_apart_point(A39_722_9, L40_722_9) | left_apart_point(A39_722_9, reverse_line(L40_722_9)))
% 147.12/22.38 -> [10344] ~left_apart_point(A39_722_9, L40_722_9), ~left_apart_point(A39_722_9, reverse_line(L40_722_9))
% 147.12/22.38
% 147.12/22.38 [10344] CLOSURE : ~left_apart_point(A39_722_9, L40_722_9)
% 147.12/22.38
% 147.12/22.38 [9974] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [10586] ((unequally_directed_lines(skolem_N7979, M38_395_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_395_8))) => (left_convergent_lines(skolem_N7979, M38_395_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_395_8))))
% 147.12/22.38
% 147.12/22.38 [10586] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_395_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_395_8))) => (left_convergent_lines(skolem_N7979, M38_395_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_395_8))))
% 147.12/22.38 -> [10587] ~(unequally_directed_lines(skolem_N7979, M38_395_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_395_8)))
% 147.12/22.38 -> [10588] (left_convergent_lines(skolem_N7979, M38_395_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_395_8)))
% 147.12/22.38
% 147.12/22.38 [10588] BETA_OR : (left_convergent_lines(skolem_N7979, M38_395_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_395_8)))
% 147.12/22.38 -> [10593] left_convergent_lines(skolem_N7979, M38_395_8)
% 147.12/22.38 -> [10594] left_convergent_lines(skolem_N7979, reverse_line(M38_395_8))
% 147.12/22.38
% 147.12/22.38 [10593] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10741] ~(left_apart_point(A39_783_9, L40_783_9) | left_apart_point(A39_783_9, reverse_line(L40_783_9)))
% 147.12/22.38
% 147.12/22.38 [10741] ALPHA_NOT_OR : ~(left_apart_point(A39_783_9, L40_783_9) | left_apart_point(A39_783_9, reverse_line(L40_783_9)))
% 147.12/22.38 -> [10744] ~left_apart_point(A39_783_9, L40_783_9), ~left_apart_point(A39_783_9, reverse_line(L40_783_9))
% 147.12/22.38
% 147.12/22.38 [10744] CLOSURE : ~left_apart_point(A39_783_9, L40_783_9)
% 147.12/22.38
% 147.12/22.38 [10594] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10720] ~(left_apart_point(A39_781_9, L40_781_9) | left_apart_point(A39_781_9, reverse_line(L40_781_9)))
% 147.12/22.38
% 147.12/22.38 [10720] ALPHA_NOT_OR : ~(left_apart_point(A39_781_9, L40_781_9) | left_apart_point(A39_781_9, reverse_line(L40_781_9)))
% 147.12/22.38 -> [10722] ~left_apart_point(A39_781_9, L40_781_9), ~left_apart_point(A39_781_9, reverse_line(L40_781_9))
% 147.12/22.38
% 147.12/22.38 [10722] CLOSURE : ~left_apart_point(A39_781_9, L40_781_9)
% 147.12/22.38
% 147.12/22.38 [10587] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_395_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_395_8)))
% 147.12/22.38 -> [10629] ~unequally_directed_lines(skolem_N7979, M38_395_8)
% 147.12/22.38 -> [10630] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_395_8))
% 147.12/22.38
% 147.12/22.38 [10629] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_395_8)
% 147.12/22.38
% 147.12/22.38 [10630] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_395_8))
% 147.12/22.38
% 147.12/22.38 [9888] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_111_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_111_6)))
% 147.12/22.38 -> [9897] unequally_directed_lines(skolem_M7878, N34_111_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_111_6))
% 147.12/22.38
% 147.12/22.38 [9897] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.38 -> [9958] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.12/22.38
% 147.12/22.38 [9958] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.12/22.38 -> [9962] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.38 -> [9963] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.12/22.38
% 147.12/22.38 [9962] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.38 -> [9979] ~line(skolem_L7777)
% 147.12/22.38 -> [9980] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.38
% 147.12/22.38 [9980] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [10041] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [10041] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [10042] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10043] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [10042] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10057] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [10058] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10058] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10057] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [10043] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10051] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [10052] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10052] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10077] ~(left_apart_point(A39_698_9, L40_698_9) | left_apart_point(A39_698_9, reverse_line(L40_698_9)))
% 147.12/22.38
% 147.12/22.38 [10077] ALPHA_NOT_OR : ~(left_apart_point(A39_698_9, L40_698_9) | left_apart_point(A39_698_9, reverse_line(L40_698_9)))
% 147.12/22.38 -> [10078] ~left_apart_point(A39_698_9, L40_698_9), ~left_apart_point(A39_698_9, reverse_line(L40_698_9))
% 147.12/22.38
% 147.12/22.38 [10078] CLOSURE : ~left_apart_point(A39_698_9, L40_698_9)
% 147.12/22.38
% 147.12/22.38 [10051] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10104] ~(left_apart_point(A39_699_9, L40_699_9) | left_apart_point(A39_699_9, reverse_line(L40_699_9)))
% 147.12/22.38
% 147.12/22.38 [10104] ALPHA_NOT_OR : ~(left_apart_point(A39_699_9, L40_699_9) | left_apart_point(A39_699_9, reverse_line(L40_699_9)))
% 147.12/22.38 -> [10106] ~left_apart_point(A39_699_9, L40_699_9), ~left_apart_point(A39_699_9, reverse_line(L40_699_9))
% 147.12/22.38
% 147.12/22.38 [10106] CLOSURE : ~left_apart_point(A39_699_9, L40_699_9)
% 147.12/22.38
% 147.12/22.38 [9979] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [10036] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [10036] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [10037] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10038] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [10037] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10063] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [10064] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10063] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [10064] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10038] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10039] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [10040] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10040] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10105] ~(left_apart_point(A39_700_9, L40_700_9) | left_apart_point(A39_700_9, reverse_line(L40_700_9)))
% 147.12/22.38
% 147.12/22.38 [10105] ALPHA_NOT_OR : ~(left_apart_point(A39_700_9, L40_700_9) | left_apart_point(A39_700_9, reverse_line(L40_700_9)))
% 147.12/22.38 -> [10108] ~left_apart_point(A39_700_9, L40_700_9), ~left_apart_point(A39_700_9, reverse_line(L40_700_9))
% 147.12/22.38
% 147.12/22.38 [10108] CLOSURE : ~left_apart_point(A39_700_9, L40_700_9)
% 147.12/22.38
% 147.12/22.38 [10039] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [10127] ~(left_apart_point(A39_701_9, L40_701_9) | left_apart_point(A39_701_9, reverse_line(L40_701_9)))
% 147.12/22.38
% 147.12/22.38 [10127] ALPHA_NOT_OR : ~(left_apart_point(A39_701_9, L40_701_9) | left_apart_point(A39_701_9, reverse_line(L40_701_9)))
% 147.12/22.38 -> [10132] ~left_apart_point(A39_701_9, L40_701_9), ~left_apart_point(A39_701_9, reverse_line(L40_701_9))
% 147.12/22.38
% 147.12/22.38 [10132] CLOSURE : ~left_apart_point(A39_701_9, L40_701_9)
% 147.12/22.38
% 147.12/22.38 [9963] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.12/22.38 -> [9969] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.38 -> [9970] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.38
% 147.12/22.38 [9969] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.38
% 147.12/22.38 [9970] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [12403] ((unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [12403] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))))
% 147.12/22.38 -> [12404] ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [12405] (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [12404] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [12426] ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 147.12/22.38 -> [12427] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [12426] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [12427] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [12405] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [12408] left_convergent_lines(skolem_L7777, skolem_N7979)
% 147.12/22.38 -> [12409] left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [12408] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [12451] ~(left_apart_point(A39_1017_9, L40_1017_9) | left_apart_point(A39_1017_9, reverse_line(L40_1017_9)))
% 147.12/22.38
% 147.12/22.38 [12451] ALPHA_NOT_OR : ~(left_apart_point(A39_1017_9, L40_1017_9) | left_apart_point(A39_1017_9, reverse_line(L40_1017_9)))
% 147.12/22.38 -> [12452] ~left_apart_point(A39_1017_9, L40_1017_9), ~left_apart_point(A39_1017_9, reverse_line(L40_1017_9))
% 147.12/22.38
% 147.12/22.38 [12452] CLOSURE : ~left_apart_point(A39_1017_9, L40_1017_9)
% 147.12/22.38
% 147.12/22.38 [12409] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [12559] ~(left_apart_point(A39_1042_9, L40_1042_9) | left_apart_point(A39_1042_9, reverse_line(L40_1042_9)))
% 147.12/22.38
% 147.12/22.38 [12559] ALPHA_NOT_OR : ~(left_apart_point(A39_1042_9, L40_1042_9) | left_apart_point(A39_1042_9, reverse_line(L40_1042_9)))
% 147.12/22.38 -> [12560] ~left_apart_point(A39_1042_9, L40_1042_9), ~left_apart_point(A39_1042_9, reverse_line(L40_1042_9))
% 147.12/22.38
% 147.12/22.38 [12560] CLOSURE : ~left_apart_point(A39_1042_9, L40_1042_9)
% 147.12/22.38
% 147.12/22.38 [181] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38 -> [197] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38
% 147.12/22.38 [197] BETA_NOT_AND : ~(((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.12/22.38 -> [455] ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.12/22.38 -> [456] ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.38
% 147.12/22.38 [456] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.38 -> [462] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.12/22.38
% 147.12/22.38 [462] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.38 -> [960] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [960] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.38 -> [992] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38
% 147.12/22.38 [992] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38 -> [993] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [994] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38
% 147.12/22.38 [993] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [994] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38 -> [2005] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [2006] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [2006] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [2005] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.38 -> [2722] ~distinct_lines(N27_76_3, N27_76_3)
% 147.12/22.38
% 147.12/22.38 [2722] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.38 -> [2734] (distinct_lines(N27_76_3, N27_76_3) => (distinct_lines(N27_76_3, N27_76_3) | distinct_lines(N27_76_3, N27_76_3)))
% 147.12/22.38
% 147.12/22.38 [2734] BETA_IMPLY : (distinct_lines(N27_76_3, N27_76_3) => (distinct_lines(N27_76_3, N27_76_3) | distinct_lines(N27_76_3, N27_76_3)))
% 147.12/22.38 -> [2735] ~distinct_lines(N27_76_3, N27_76_3)
% 147.12/22.38 -> [2736] (distinct_lines(N27_76_3, N27_76_3) | distinct_lines(N27_76_3, N27_76_3))
% 147.12/22.38
% 147.12/22.38 [2736] BETA_OR : (distinct_lines(N27_76_3, N27_76_3) | distinct_lines(N27_76_3, N27_76_3))
% 147.12/22.38 -> [2737] distinct_lines(N27_76_3, N27_76_3)
% 147.12/22.38 -> [2738] distinct_lines(N27_76_3, N27_76_3)
% 147.12/22.38
% 147.12/22.38 [2737] CLOSURE : distinct_lines(N27_76_3, N27_76_3)
% 147.12/22.38
% 147.12/22.38 [2738] CLOSURE : distinct_lines(N27_76_3, N27_76_3)
% 147.12/22.38
% 147.12/22.38 [2735] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.38 -> [2754] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [2754] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.38 -> [2767] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [2767] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 147.12/22.38 -> [2768] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [2769] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [2768] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [2769] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 147.12/22.38 -> [3771] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38 -> [3772] unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [3771] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [3772] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.38 -> [4147] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.38
% 147.12/22.38 [4147] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.38 -> [4148] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [4149] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [4148] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [4167] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [4168] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [4168] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [4167] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [4149] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [7517] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [7518] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [7517] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [7524] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [7524] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [7518] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [7521] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [7521] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.38 -> [7600] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [7600] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [7602] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.38 -> [7603] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [7603] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [7609] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38 -> [7610] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [7609] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [7610] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [7687] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [7687] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.38 -> [7692] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [7693] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [7692] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [7731] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [7732] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [7732] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [7731] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [7693] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [7697] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [7698] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [7697] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [7852] ~(left_apart_point(A39_404_9, L40_404_9) | left_apart_point(A39_404_9, reverse_line(L40_404_9)))
% 147.12/22.38
% 147.12/22.38 [7852] ALPHA_NOT_OR : ~(left_apart_point(A39_404_9, L40_404_9) | left_apart_point(A39_404_9, reverse_line(L40_404_9)))
% 147.12/22.38 -> [7853] ~left_apart_point(A39_404_9, L40_404_9), ~left_apart_point(A39_404_9, reverse_line(L40_404_9))
% 147.12/22.38
% 147.12/22.38 [7853] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.38 -> [8612] ~(left_convergent_lines(L41_141_10, M42_141_10) | left_convergent_lines(L41_141_10, reverse_line(M42_141_10)))
% 147.12/22.38
% 147.12/22.38 [8612] ALPHA_NOT_OR : ~(left_convergent_lines(L41_141_10, M42_141_10) | left_convergent_lines(L41_141_10, reverse_line(M42_141_10)))
% 147.12/22.38 -> [8614] ~left_convergent_lines(L41_141_10, M42_141_10), ~left_convergent_lines(L41_141_10, reverse_line(M42_141_10))
% 147.12/22.38
% 147.12/22.38 [8614] CLOSURE : ~left_convergent_lines(L41_141_10, M42_141_10)
% 147.12/22.38
% 147.12/22.38 [7698] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [7823] ~(left_apart_point(A39_397_9, L40_397_9) | left_apart_point(A39_397_9, reverse_line(L40_397_9)))
% 147.12/22.38
% 147.12/22.38 [7823] ALPHA_NOT_OR : ~(left_apart_point(A39_397_9, L40_397_9) | left_apart_point(A39_397_9, reverse_line(L40_397_9)))
% 147.12/22.38 -> [7826] ~left_apart_point(A39_397_9, L40_397_9), ~left_apart_point(A39_397_9, reverse_line(L40_397_9))
% 147.12/22.38
% 147.12/22.38 [7826] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.38 -> [8703] ~(left_convergent_lines(L41_152_10, M42_152_10) | left_convergent_lines(L41_152_10, reverse_line(M42_152_10)))
% 147.12/22.38
% 147.12/22.38 [8703] ALPHA_NOT_OR : ~(left_convergent_lines(L41_152_10, M42_152_10) | left_convergent_lines(L41_152_10, reverse_line(M42_152_10)))
% 147.12/22.38 -> [8706] ~left_convergent_lines(L41_152_10, M42_152_10), ~left_convergent_lines(L41_152_10, reverse_line(M42_152_10))
% 147.12/22.38
% 147.12/22.38 [8706] CLOSURE : ~left_convergent_lines(L41_152_10, M42_152_10)
% 147.12/22.38
% 147.12/22.38 [7602] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.38 -> [7614] ~line(skolem_M7878)
% 147.12/22.38 -> [7615] ~line(skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [7614] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [7658] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [7658] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.38 -> [7661] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [7662] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [7661] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [7719] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [7720] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [7720] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [7719] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [7662] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [7670] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [7671] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [7671] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [7796] ~(left_apart_point(A39_393_9, L40_393_9) | left_apart_point(A39_393_9, reverse_line(L40_393_9)))
% 147.12/22.38
% 147.12/22.38 [7796] ALPHA_NOT_OR : ~(left_apart_point(A39_393_9, L40_393_9) | left_apart_point(A39_393_9, reverse_line(L40_393_9)))
% 147.12/22.38 -> [7798] ~left_apart_point(A39_393_9, L40_393_9), ~left_apart_point(A39_393_9, reverse_line(L40_393_9))
% 147.12/22.38
% 147.12/22.38 [7798] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.38 -> [8146] ~(left_convergent_lines(L41_111_10, M42_111_10) | left_convergent_lines(L41_111_10, reverse_line(M42_111_10)))
% 147.12/22.38
% 147.12/22.38 [8146] ALPHA_NOT_OR : ~(left_convergent_lines(L41_111_10, M42_111_10) | left_convergent_lines(L41_111_10, reverse_line(M42_111_10)))
% 147.12/22.38 -> [8154] ~left_convergent_lines(L41_111_10, M42_111_10), ~left_convergent_lines(L41_111_10, reverse_line(M42_111_10))
% 147.12/22.38
% 147.12/22.38 [8154] CLOSURE : ~left_convergent_lines(L41_111_10, M42_111_10)
% 147.12/22.38
% 147.12/22.38 [7670] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [7839] ~(left_apart_point(A39_401_9, L40_401_9) | left_apart_point(A39_401_9, reverse_line(L40_401_9)))
% 147.12/22.38
% 147.12/22.38 [7839] ALPHA_NOT_OR : ~(left_apart_point(A39_401_9, L40_401_9) | left_apart_point(A39_401_9, reverse_line(L40_401_9)))
% 147.12/22.38 -> [7840] ~left_apart_point(A39_401_9, L40_401_9), ~left_apart_point(A39_401_9, reverse_line(L40_401_9))
% 147.12/22.38
% 147.12/22.38 [7840] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.38 -> [8433] ~(left_convergent_lines(L41_128_10, M42_128_10) | left_convergent_lines(L41_128_10, reverse_line(M42_128_10)))
% 147.12/22.38
% 147.12/22.38 [8433] ALPHA_NOT_OR : ~(left_convergent_lines(L41_128_10, M42_128_10) | left_convergent_lines(L41_128_10, reverse_line(M42_128_10)))
% 147.12/22.38 -> [8434] ~left_convergent_lines(L41_128_10, M42_128_10), ~left_convergent_lines(L41_128_10, reverse_line(M42_128_10))
% 147.12/22.38
% 147.12/22.38 [8434] CLOSURE : ~left_convergent_lines(L41_128_10, M42_128_10)
% 147.12/22.38
% 147.12/22.38 [7615] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [7648] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.38
% 147.12/22.38 [7648] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.38 -> [7649] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [7650] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38
% 147.12/22.38 [7649] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [7678] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [7679] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [7679] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [7678] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [7650] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [7651] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [7652] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [7652] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [7778] ~(left_apart_point(A39_390_9, L40_390_9) | left_apart_point(A39_390_9, reverse_line(L40_390_9)))
% 147.12/22.38
% 147.12/22.38 [7778] ALPHA_NOT_OR : ~(left_apart_point(A39_390_9, L40_390_9) | left_apart_point(A39_390_9, reverse_line(L40_390_9)))
% 147.12/22.38 -> [7781] ~left_apart_point(A39_390_9, L40_390_9), ~left_apart_point(A39_390_9, reverse_line(L40_390_9))
% 147.12/22.38
% 147.12/22.38 [7781] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.38 -> [8365] ~(left_convergent_lines(L41_126_10, M42_126_10) | left_convergent_lines(L41_126_10, reverse_line(M42_126_10)))
% 147.12/22.38
% 147.12/22.38 [8365] ALPHA_NOT_OR : ~(left_convergent_lines(L41_126_10, M42_126_10) | left_convergent_lines(L41_126_10, reverse_line(M42_126_10)))
% 147.12/22.38 -> [8366] ~left_convergent_lines(L41_126_10, M42_126_10), ~left_convergent_lines(L41_126_10, reverse_line(M42_126_10))
% 147.12/22.38
% 147.12/22.38 [8366] CLOSURE : ~left_convergent_lines(L41_126_10, M42_126_10)
% 147.12/22.38
% 147.12/22.38 [7651] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [7816] ~(left_apart_point(A39_396_9, L40_396_9) | left_apart_point(A39_396_9, reverse_line(L40_396_9)))
% 147.12/22.38
% 147.12/22.38 [7816] ALPHA_NOT_OR : ~(left_apart_point(A39_396_9, L40_396_9) | left_apart_point(A39_396_9, reverse_line(L40_396_9)))
% 147.12/22.38 -> [7819] ~left_apart_point(A39_396_9, L40_396_9), ~left_apart_point(A39_396_9, reverse_line(L40_396_9))
% 147.12/22.38
% 147.12/22.38 [7819] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.38 -> [8741] ~(left_convergent_lines(L41_155_10, M42_155_10) | left_convergent_lines(L41_155_10, reverse_line(M42_155_10)))
% 147.12/22.38
% 147.12/22.38 [8741] ALPHA_NOT_OR : ~(left_convergent_lines(L41_155_10, M42_155_10) | left_convergent_lines(L41_155_10, reverse_line(M42_155_10)))
% 147.12/22.38 -> [8743] ~left_convergent_lines(L41_155_10, M42_155_10), ~left_convergent_lines(L41_155_10, reverse_line(M42_155_10))
% 147.12/22.38
% 147.12/22.38 [8743] CLOSURE : ~left_convergent_lines(L41_155_10, M42_155_10)
% 147.12/22.38
% 147.12/22.38 [455] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.12/22.38 -> [471] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [472] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [471] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [857] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.12/22.38 -> [858] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [858] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [861] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [861] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [863] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.38 -> [864] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [863] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [864] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [857] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.38 -> [917] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [917] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.38 -> [1530] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38
% 147.12/22.38 [1530] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38 -> [1531] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [1532] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38
% 147.12/22.38 [1531] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1532] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38 -> [2064] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [2065] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [2065] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [2064] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.38 -> [3358] ~distinct_lines(N27_114_3, N27_114_3)
% 147.12/22.38
% 147.12/22.38 [3358] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.38 -> [3553] (distinct_lines(N27_114_3, N27_114_3) => (distinct_lines(N27_114_3, N27_114_3) | distinct_lines(N27_114_3, N27_114_3)))
% 147.12/22.38
% 147.12/22.38 [3553] BETA_IMPLY : (distinct_lines(N27_114_3, N27_114_3) => (distinct_lines(N27_114_3, N27_114_3) | distinct_lines(N27_114_3, N27_114_3)))
% 147.12/22.38 -> [3554] ~distinct_lines(N27_114_3, N27_114_3)
% 147.12/22.38 -> [3555] (distinct_lines(N27_114_3, N27_114_3) | distinct_lines(N27_114_3, N27_114_3))
% 147.12/22.38
% 147.12/22.38 [3555] BETA_OR : (distinct_lines(N27_114_3, N27_114_3) | distinct_lines(N27_114_3, N27_114_3))
% 147.12/22.38 -> [3556] distinct_lines(N27_114_3, N27_114_3)
% 147.12/22.38 -> [3557] distinct_lines(N27_114_3, N27_114_3)
% 147.12/22.38
% 147.12/22.38 [3556] CLOSURE : distinct_lines(N27_114_3, N27_114_3)
% 147.12/22.38
% 147.12/22.38 [3557] CLOSURE : distinct_lines(N27_114_3, N27_114_3)
% 147.12/22.38
% 147.12/22.38 [3554] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.38 -> [3747] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [3747] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.38 -> [3779] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [3779] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 147.12/22.38 -> [3782] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38 -> [3783] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [3782] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38
% 147.12/22.38 [3783] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 147.12/22.38 -> [5256] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38 -> [5257] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [5256] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [5257] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.38 -> [8264] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.38
% 147.12/22.38 [8264] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.38 -> [8265] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [8266] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [8265] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [8295] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [8296] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [8296] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [8295] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [8266] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [10597] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10598] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [10597] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10626] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10626] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [10598] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10600] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10600] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.38 -> [10695] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [10695] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [10696] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.38 -> [10697] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [10696] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.38 -> [10713] ~line(skolem_M7878)
% 147.12/22.38 -> [10714] ~line(skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [10713] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [11273] ((unequally_directed_lines(skolem_N7979, M38_435_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_435_8))) => (left_convergent_lines(skolem_N7979, M38_435_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_435_8))))
% 147.12/22.38
% 147.12/22.38 [11273] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_435_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_435_8))) => (left_convergent_lines(skolem_N7979, M38_435_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_435_8))))
% 147.12/22.38 -> [11274] ~(unequally_directed_lines(skolem_N7979, M38_435_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_435_8)))
% 147.12/22.38 -> [11275] (left_convergent_lines(skolem_N7979, M38_435_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_435_8)))
% 147.12/22.38
% 147.12/22.38 [11274] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_435_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_435_8)))
% 147.12/22.38 -> [11319] ~unequally_directed_lines(skolem_N7979, M38_435_8)
% 147.12/22.38 -> [11320] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_435_8))
% 147.12/22.38
% 147.12/22.38 [11319] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_435_8)
% 147.12/22.38
% 147.12/22.38 [11320] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_435_8))
% 147.12/22.38
% 147.12/22.38 [11275] BETA_OR : (left_convergent_lines(skolem_N7979, M38_435_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_435_8)))
% 147.12/22.38 -> [11283] left_convergent_lines(skolem_N7979, M38_435_8)
% 147.12/22.38 -> [11284] left_convergent_lines(skolem_N7979, reverse_line(M38_435_8))
% 147.12/22.38
% 147.12/22.38 [11284] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11515] ~(left_apart_point(A39_883_9, L40_883_9) | left_apart_point(A39_883_9, reverse_line(L40_883_9)))
% 147.12/22.38
% 147.12/22.38 [11515] ALPHA_NOT_OR : ~(left_apart_point(A39_883_9, L40_883_9) | left_apart_point(A39_883_9, reverse_line(L40_883_9)))
% 147.12/22.38 -> [11518] ~left_apart_point(A39_883_9, L40_883_9), ~left_apart_point(A39_883_9, reverse_line(L40_883_9))
% 147.12/22.38
% 147.12/22.38 [11518] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.38 -> [11536] ~(left_convergent_lines(L41_231_10, M42_231_10) | left_convergent_lines(L41_231_10, reverse_line(M42_231_10)))
% 147.12/22.38
% 147.12/22.38 [11536] ALPHA_NOT_OR : ~(left_convergent_lines(L41_231_10, M42_231_10) | left_convergent_lines(L41_231_10, reverse_line(M42_231_10)))
% 147.12/22.38 -> [11537] ~left_convergent_lines(L41_231_10, M42_231_10), ~left_convergent_lines(L41_231_10, reverse_line(M42_231_10))
% 147.12/22.38
% 147.12/22.38 [11537] CLOSURE : ~left_convergent_lines(L41_231_10, M42_231_10)
% 147.12/22.38
% 147.12/22.38 [11283] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11582] ~(left_apart_point(A39_889_9, L40_889_9) | left_apart_point(A39_889_9, reverse_line(L40_889_9)))
% 147.12/22.38
% 147.12/22.38 [11582] ALPHA_NOT_OR : ~(left_apart_point(A39_889_9, L40_889_9) | left_apart_point(A39_889_9, reverse_line(L40_889_9)))
% 147.12/22.38 -> [11583] ~left_apart_point(A39_889_9, L40_889_9), ~left_apart_point(A39_889_9, reverse_line(L40_889_9))
% 147.12/22.38
% 147.12/22.38 [11583] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.38 -> [11589] ~(left_convergent_lines(L41_237_10, M42_237_10) | left_convergent_lines(L41_237_10, reverse_line(M42_237_10)))
% 147.12/22.38
% 147.12/22.38 [11589] ALPHA_NOT_OR : ~(left_convergent_lines(L41_237_10, M42_237_10) | left_convergent_lines(L41_237_10, reverse_line(M42_237_10)))
% 147.12/22.38 -> [11592] ~left_convergent_lines(L41_237_10, M42_237_10), ~left_convergent_lines(L41_237_10, reverse_line(M42_237_10))
% 147.12/22.38
% 147.12/22.38 [11592] CLOSURE : ~left_convergent_lines(L41_237_10, M42_237_10)
% 147.12/22.38
% 147.12/22.38 [10714] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [11305] ((unequally_directed_lines(skolem_N7979, M38_440_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_440_8))) => (left_convergent_lines(skolem_N7979, M38_440_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_440_8))))
% 147.12/22.38
% 147.12/22.38 [11305] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_440_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_440_8))) => (left_convergent_lines(skolem_N7979, M38_440_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_440_8))))
% 147.12/22.38 -> [11306] ~(unequally_directed_lines(skolem_N7979, M38_440_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_440_8)))
% 147.12/22.38 -> [11307] (left_convergent_lines(skolem_N7979, M38_440_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_440_8)))
% 147.12/22.38
% 147.12/22.38 [11307] BETA_OR : (left_convergent_lines(skolem_N7979, M38_440_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_440_8)))
% 147.12/22.38 -> [11313] left_convergent_lines(skolem_N7979, M38_440_8)
% 147.12/22.38 -> [11314] left_convergent_lines(skolem_N7979, reverse_line(M38_440_8))
% 147.12/22.38
% 147.12/22.38 [11314] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11547] ~(left_apart_point(A39_887_9, L40_887_9) | left_apart_point(A39_887_9, reverse_line(L40_887_9)))
% 147.12/22.38
% 147.12/22.38 [11547] ALPHA_NOT_OR : ~(left_apart_point(A39_887_9, L40_887_9) | left_apart_point(A39_887_9, reverse_line(L40_887_9)))
% 147.12/22.38 -> [11551] ~left_apart_point(A39_887_9, L40_887_9), ~left_apart_point(A39_887_9, reverse_line(L40_887_9))
% 147.12/22.38
% 147.12/22.38 [11551] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.38 -> [11572] ~(left_convergent_lines(L41_234_10, M42_234_10) | left_convergent_lines(L41_234_10, reverse_line(M42_234_10)))
% 147.12/22.38
% 147.12/22.38 [11572] ALPHA_NOT_OR : ~(left_convergent_lines(L41_234_10, M42_234_10) | left_convergent_lines(L41_234_10, reverse_line(M42_234_10)))
% 147.12/22.38 -> [11574] ~left_convergent_lines(L41_234_10, M42_234_10), ~left_convergent_lines(L41_234_10, reverse_line(M42_234_10))
% 147.12/22.38
% 147.12/22.38 [11574] CLOSURE : ~left_convergent_lines(L41_234_10, M42_234_10)
% 147.12/22.38
% 147.12/22.38 [11313] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11546] ~(left_apart_point(A39_886_9, L40_886_9) | left_apart_point(A39_886_9, reverse_line(L40_886_9)))
% 147.12/22.38
% 147.12/22.38 [11546] ALPHA_NOT_OR : ~(left_apart_point(A39_886_9, L40_886_9) | left_apart_point(A39_886_9, reverse_line(L40_886_9)))
% 147.12/22.38 -> [11549] ~left_apart_point(A39_886_9, L40_886_9), ~left_apart_point(A39_886_9, reverse_line(L40_886_9))
% 147.12/22.38
% 147.12/22.38 [11549] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.38 -> [11573] ~(left_convergent_lines(L41_235_10, M42_235_10) | left_convergent_lines(L41_235_10, reverse_line(M42_235_10)))
% 147.12/22.38
% 147.12/22.38 [11573] ALPHA_NOT_OR : ~(left_convergent_lines(L41_235_10, M42_235_10) | left_convergent_lines(L41_235_10, reverse_line(M42_235_10)))
% 147.12/22.38 -> [11577] ~left_convergent_lines(L41_235_10, M42_235_10), ~left_convergent_lines(L41_235_10, reverse_line(M42_235_10))
% 147.12/22.38
% 147.12/22.38 [11577] CLOSURE : ~left_convergent_lines(L41_235_10, M42_235_10)
% 147.12/22.38
% 147.12/22.38 [11306] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_440_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_440_8)))
% 147.12/22.38 -> [11350] ~unequally_directed_lines(skolem_N7979, M38_440_8)
% 147.12/22.38 -> [11351] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_440_8))
% 147.12/22.38
% 147.12/22.38 [11351] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_440_8))
% 147.12/22.38
% 147.12/22.38 [11350] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_440_8)
% 147.12/22.38
% 147.12/22.38 [10697] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [10700] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38 -> [10701] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [10700] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [10701] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [11341] ((unequally_directed_lines(skolem_N7979, M38_443_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_443_8))) => (left_convergent_lines(skolem_N7979, M38_443_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_443_8))))
% 147.12/22.38
% 147.12/22.38 [11341] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_443_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_443_8))) => (left_convergent_lines(skolem_N7979, M38_443_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_443_8))))
% 147.12/22.38 -> [11345] ~(unequally_directed_lines(skolem_N7979, M38_443_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_443_8)))
% 147.12/22.38 -> [11346] (left_convergent_lines(skolem_N7979, M38_443_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_443_8)))
% 147.12/22.38
% 147.12/22.38 [11345] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_443_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_443_8)))
% 147.12/22.38 -> [11408] ~unequally_directed_lines(skolem_N7979, M38_443_8)
% 147.12/22.38 -> [11409] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_443_8))
% 147.12/22.38
% 147.12/22.38 [11409] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_443_8))
% 147.12/22.38
% 147.12/22.38 [11408] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_443_8)
% 147.12/22.38
% 147.12/22.38 [11346] BETA_OR : (left_convergent_lines(skolem_N7979, M38_443_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_443_8)))
% 147.12/22.38 -> [11352] left_convergent_lines(skolem_N7979, M38_443_8)
% 147.12/22.38 -> [11353] left_convergent_lines(skolem_N7979, reverse_line(M38_443_8))
% 147.12/22.38
% 147.12/22.38 [11353] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11561] ~(left_apart_point(A39_888_9, L40_888_9) | left_apart_point(A39_888_9, reverse_line(L40_888_9)))
% 147.12/22.38
% 147.12/22.38 [11561] ALPHA_NOT_OR : ~(left_apart_point(A39_888_9, L40_888_9) | left_apart_point(A39_888_9, reverse_line(L40_888_9)))
% 147.12/22.38 -> [11563] ~left_apart_point(A39_888_9, L40_888_9), ~left_apart_point(A39_888_9, reverse_line(L40_888_9))
% 147.12/22.38
% 147.12/22.38 [11563] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.38 -> [11732] ~(left_convergent_lines(L41_241_10, M42_241_10) | left_convergent_lines(L41_241_10, reverse_line(M42_241_10)))
% 147.12/22.38
% 147.12/22.38 [11732] ALPHA_NOT_OR : ~(left_convergent_lines(L41_241_10, M42_241_10) | left_convergent_lines(L41_241_10, reverse_line(M42_241_10)))
% 147.12/22.38 -> [11735] ~left_convergent_lines(L41_241_10, M42_241_10), ~left_convergent_lines(L41_241_10, reverse_line(M42_241_10))
% 147.12/22.38
% 147.12/22.38 [11735] CLOSURE : ~left_convergent_lines(L41_241_10, M42_241_10)
% 147.12/22.38
% 147.12/22.38 [11352] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [11929] ~(left_apart_point(A39_922_9, L40_922_9) | left_apart_point(A39_922_9, reverse_line(L40_922_9)))
% 147.12/22.38
% 147.12/22.38 [11929] ALPHA_NOT_OR : ~(left_apart_point(A39_922_9, L40_922_9) | left_apart_point(A39_922_9, reverse_line(L40_922_9)))
% 147.12/22.38 -> [11930] ~left_apart_point(A39_922_9, L40_922_9), ~left_apart_point(A39_922_9, reverse_line(L40_922_9))
% 147.12/22.38
% 147.12/22.38 [11930] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.38 -> [12182] ~(left_convergent_lines(L41_250_10, M42_250_10) | left_convergent_lines(L41_250_10, reverse_line(M42_250_10)))
% 147.12/22.38
% 147.12/22.38 [12182] ALPHA_NOT_OR : ~(left_convergent_lines(L41_250_10, M42_250_10) | left_convergent_lines(L41_250_10, reverse_line(M42_250_10)))
% 147.12/22.38 -> [12183] ~left_convergent_lines(L41_250_10, M42_250_10), ~left_convergent_lines(L41_250_10, reverse_line(M42_250_10))
% 147.12/22.38
% 147.12/22.38 [12183] CLOSURE : ~left_convergent_lines(L41_250_10, M42_250_10)
% 147.12/22.38
% 147.12/22.38 [472] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.38 -> [478] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [478] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.12/22.38 -> [486] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.12/22.38 -> [487] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [487] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.38 -> [997] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [997] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.38 -> [1059] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38
% 147.12/22.38 [1059] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.38 -> [1061] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [1062] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38
% 147.12/22.38 [1061] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1062] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.38 -> [1909] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [1910] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1910] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [1909] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.38 -> [2400] ~distinct_lines(N27_61_3, N27_61_3)
% 147.12/22.38
% 147.12/22.38 [2400] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.38 -> [2402] (distinct_lines(N27_61_3, N27_61_3) => (distinct_lines(N27_61_3, N27_61_3) | distinct_lines(N27_61_3, N27_61_3)))
% 147.12/22.38
% 147.12/22.38 [2402] BETA_IMPLY : (distinct_lines(N27_61_3, N27_61_3) => (distinct_lines(N27_61_3, N27_61_3) | distinct_lines(N27_61_3, N27_61_3)))
% 147.12/22.38 -> [2403] ~distinct_lines(N27_61_3, N27_61_3)
% 147.12/22.38 -> [2404] (distinct_lines(N27_61_3, N27_61_3) | distinct_lines(N27_61_3, N27_61_3))
% 147.12/22.38
% 147.12/22.38 [2404] BETA_OR : (distinct_lines(N27_61_3, N27_61_3) | distinct_lines(N27_61_3, N27_61_3))
% 147.12/22.38 -> [2409] distinct_lines(N27_61_3, N27_61_3)
% 147.12/22.38 -> [2410] distinct_lines(N27_61_3, N27_61_3)
% 147.12/22.38
% 147.12/22.38 [2409] CLOSURE : distinct_lines(N27_61_3, N27_61_3)
% 147.12/22.38
% 147.12/22.38 [2410] CLOSURE : distinct_lines(N27_61_3, N27_61_3)
% 147.12/22.38
% 147.12/22.38 [2403] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.38 -> [2432] ~unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38
% 147.12/22.38 [2432] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.38 -> [2437] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.38
% 147.12/22.38 [2437] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.38 -> [2438] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38 -> [2439] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.38
% 147.12/22.38 [2438] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38
% 147.12/22.38 [2439] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.38 -> [2500] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38 -> [2501] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38
% 147.12/22.38 [2501] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38
% 147.12/22.38 [2500] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.38 -> [2557] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_3_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_3_6))) | (unequally_directed_lines(skolem_N7979, N34_3_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_3_6)))))
% 147.12/22.38
% 147.12/22.38 [2557] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_3_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_3_6))) | (unequally_directed_lines(skolem_N7979, N34_3_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_3_6)))))
% 147.12/22.38 -> [2558] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [2559] ((unequally_directed_lines(skolem_M7878, N34_3_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_3_6))) | (unequally_directed_lines(skolem_N7979, N34_3_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_3_6))))
% 147.12/22.38
% 147.12/22.38 [2558] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [2579] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [2580] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [2580] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [2579] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [2559] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_3_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_3_6))) | (unequally_directed_lines(skolem_N7979, N34_3_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_3_6))))
% 147.12/22.38 -> [3143] (unequally_directed_lines(skolem_M7878, N34_3_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_3_6)))
% 147.12/22.38 -> [3144] (unequally_directed_lines(skolem_N7979, N34_3_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_3_6)))
% 147.12/22.38
% 147.12/22.38 [3144] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_3_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_3_6)))
% 147.12/22.38 -> [3145] unequally_directed_lines(skolem_N7979, N34_3_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_3_6))
% 147.12/22.38
% 147.12/22.38 [3145] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.38 -> [3241] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.12/22.38
% 147.12/22.38 [3241] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.12/22.38 -> [3242] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.38 -> [3243] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.38
% 147.12/22.38 [3243] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.38 -> [3244] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38 -> [3245] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.38
% 147.12/22.38 [3244] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38
% 147.12/22.38 [3245] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [3382] ((unequally_directed_lines(skolem_N7979, M38_12_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_12_8))) => (left_convergent_lines(skolem_N7979, M38_12_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_12_8))))
% 147.12/22.38
% 147.12/22.38 [3382] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_12_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_12_8))) => (left_convergent_lines(skolem_N7979, M38_12_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_12_8))))
% 147.12/22.38 -> [3383] ~(unequally_directed_lines(skolem_N7979, M38_12_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_12_8)))
% 147.12/22.38 -> [3384] (left_convergent_lines(skolem_N7979, M38_12_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_12_8)))
% 147.12/22.38
% 147.12/22.38 [3384] BETA_OR : (left_convergent_lines(skolem_N7979, M38_12_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_12_8)))
% 147.12/22.38 -> [3387] left_convergent_lines(skolem_N7979, M38_12_8)
% 147.12/22.38 -> [3388] left_convergent_lines(skolem_N7979, reverse_line(M38_12_8))
% 147.12/22.38
% 147.12/22.38 [3387] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [3598] ~(left_apart_point(A39_23_9, L40_23_9) | left_apart_point(A39_23_9, reverse_line(L40_23_9)))
% 147.12/22.38
% 147.12/22.38 [3598] ALPHA_NOT_OR : ~(left_apart_point(A39_23_9, L40_23_9) | left_apart_point(A39_23_9, reverse_line(L40_23_9)))
% 147.12/22.38 -> [3600] ~left_apart_point(A39_23_9, L40_23_9), ~left_apart_point(A39_23_9, reverse_line(L40_23_9))
% 147.12/22.38
% 147.12/22.38 [3600] CLOSURE : ~left_apart_point(A39_23_9, L40_23_9)
% 147.12/22.38
% 147.12/22.38 [3388] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [3605] ~(left_apart_point(A39_25_9, L40_25_9) | left_apart_point(A39_25_9, reverse_line(L40_25_9)))
% 147.12/22.38
% 147.12/22.38 [3605] ALPHA_NOT_OR : ~(left_apart_point(A39_25_9, L40_25_9) | left_apart_point(A39_25_9, reverse_line(L40_25_9)))
% 147.12/22.38 -> [3609] ~left_apart_point(A39_25_9, L40_25_9), ~left_apart_point(A39_25_9, reverse_line(L40_25_9))
% 147.12/22.38
% 147.12/22.38 [3609] CLOSURE : ~left_apart_point(A39_25_9, L40_25_9)
% 147.12/22.38
% 147.12/22.38 [3383] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_12_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_12_8)))
% 147.12/22.38 -> [3424] ~unequally_directed_lines(skolem_N7979, M38_12_8)
% 147.12/22.38 -> [3425] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_12_8))
% 147.12/22.38
% 147.12/22.38 [3425] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_12_8))
% 147.12/22.38
% 147.12/22.38 [3424] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_12_8)
% 147.12/22.38
% 147.12/22.38 [3242] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.38 -> [3265] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38 -> [3266] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38
% 147.12/22.38 [3266] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [3371] ((unequally_directed_lines(skolem_N7979, M38_11_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_11_8))) => (left_convergent_lines(skolem_N7979, M38_11_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_11_8))))
% 147.12/22.38
% 147.12/22.38 [3371] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_11_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_11_8))) => (left_convergent_lines(skolem_N7979, M38_11_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_11_8))))
% 147.12/22.38 -> [3374] ~(unequally_directed_lines(skolem_N7979, M38_11_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_11_8)))
% 147.12/22.38 -> [3375] (left_convergent_lines(skolem_N7979, M38_11_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_11_8)))
% 147.12/22.38
% 147.12/22.38 [3375] BETA_OR : (left_convergent_lines(skolem_N7979, M38_11_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_11_8)))
% 147.12/22.38 -> [3377] left_convergent_lines(skolem_N7979, M38_11_8)
% 147.12/22.38 -> [3378] left_convergent_lines(skolem_N7979, reverse_line(M38_11_8))
% 147.12/22.38
% 147.12/22.38 [3378] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [3575] ~(left_apart_point(A39_20_9, L40_20_9) | left_apart_point(A39_20_9, reverse_line(L40_20_9)))
% 147.12/22.38
% 147.12/22.38 [3575] ALPHA_NOT_OR : ~(left_apart_point(A39_20_9, L40_20_9) | left_apart_point(A39_20_9, reverse_line(L40_20_9)))
% 147.12/22.38 -> [3576] ~left_apart_point(A39_20_9, L40_20_9), ~left_apart_point(A39_20_9, reverse_line(L40_20_9))
% 147.12/22.38
% 147.12/22.38 [3576] CLOSURE : ~left_apart_point(A39_20_9, L40_20_9)
% 147.12/22.38
% 147.12/22.38 [3377] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [3595] ~(left_apart_point(A39_22_9, L40_22_9) | left_apart_point(A39_22_9, reverse_line(L40_22_9)))
% 147.12/22.38
% 147.12/22.38 [3595] ALPHA_NOT_OR : ~(left_apart_point(A39_22_9, L40_22_9) | left_apart_point(A39_22_9, reverse_line(L40_22_9)))
% 147.12/22.38 -> [3596] ~left_apart_point(A39_22_9, L40_22_9), ~left_apart_point(A39_22_9, reverse_line(L40_22_9))
% 147.12/22.38
% 147.12/22.38 [3596] CLOSURE : ~left_apart_point(A39_22_9, L40_22_9)
% 147.12/22.38
% 147.12/22.38 [3374] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_11_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_11_8)))
% 147.12/22.38 -> [3413] ~unequally_directed_lines(skolem_N7979, M38_11_8)
% 147.12/22.38 -> [3414] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_11_8))
% 147.12/22.38
% 147.12/22.38 [3414] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_11_8))
% 147.12/22.38
% 147.12/22.38 [3413] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_11_8)
% 147.12/22.38
% 147.12/22.38 [3265] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [3478] ((unequally_directed_lines(skolem_N7979, M38_16_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_16_8))) => (left_convergent_lines(skolem_N7979, M38_16_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_16_8))))
% 147.12/22.38
% 147.12/22.38 [3478] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_16_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_16_8))) => (left_convergent_lines(skolem_N7979, M38_16_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_16_8))))
% 147.12/22.38 -> [3479] ~(unequally_directed_lines(skolem_N7979, M38_16_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_16_8)))
% 147.12/22.38 -> [3480] (left_convergent_lines(skolem_N7979, M38_16_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_16_8)))
% 147.12/22.38
% 147.12/22.38 [3479] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_16_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_16_8)))
% 147.12/22.38 -> [3534] ~unequally_directed_lines(skolem_N7979, M38_16_8)
% 147.12/22.38 -> [3535] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_16_8))
% 147.12/22.38
% 147.12/22.38 [3535] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_16_8))
% 147.12/22.38
% 147.12/22.38 [3534] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_16_8)
% 147.12/22.38
% 147.12/22.38 [3480] BETA_OR : (left_convergent_lines(skolem_N7979, M38_16_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_16_8)))
% 147.12/22.38 -> [3483] left_convergent_lines(skolem_N7979, M38_16_8)
% 147.12/22.38 -> [3484] left_convergent_lines(skolem_N7979, reverse_line(M38_16_8))
% 147.12/22.38
% 147.12/22.38 [3483] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [3643] ~(left_apart_point(A39_30_9, L40_30_9) | left_apart_point(A39_30_9, reverse_line(L40_30_9)))
% 147.12/22.38
% 147.12/22.38 [3643] ALPHA_NOT_OR : ~(left_apart_point(A39_30_9, L40_30_9) | left_apart_point(A39_30_9, reverse_line(L40_30_9)))
% 147.12/22.38 -> [3644] ~left_apart_point(A39_30_9, L40_30_9), ~left_apart_point(A39_30_9, reverse_line(L40_30_9))
% 147.12/22.38
% 147.12/22.38 [3644] CLOSURE : ~left_apart_point(A39_30_9, L40_30_9)
% 147.12/22.38
% 147.12/22.38 [3484] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [3916] ~(left_apart_point(A39_43_9, L40_43_9) | left_apart_point(A39_43_9, reverse_line(L40_43_9)))
% 147.12/22.38
% 147.12/22.38 [3916] ALPHA_NOT_OR : ~(left_apart_point(A39_43_9, L40_43_9) | left_apart_point(A39_43_9, reverse_line(L40_43_9)))
% 147.12/22.38 -> [3921] ~left_apart_point(A39_43_9, L40_43_9), ~left_apart_point(A39_43_9, reverse_line(L40_43_9))
% 147.12/22.38
% 147.12/22.38 [3921] CLOSURE : ~left_apart_point(A39_43_9, L40_43_9)
% 147.12/22.38
% 147.12/22.38 [3143] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_3_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_3_6)))
% 147.12/22.38 -> [3149] unequally_directed_lines(skolem_M7878, N34_3_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_3_6))
% 147.12/22.38
% 147.12/22.38 [3149] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.38 -> [3253] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.12/22.38
% 147.12/22.38 [3253] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.12/22.38 -> [3254] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.38 -> [3255] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.38
% 147.12/22.38 [3254] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.38 -> [3289] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38 -> [3290] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38
% 147.12/22.38 [3289] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [3460] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [3460] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [3461] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [3462] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [3462] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [3465] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [3466] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [3466] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [3601] ~(left_apart_point(A39_24_9, L40_24_9) | left_apart_point(A39_24_9, reverse_line(L40_24_9)))
% 147.12/22.38
% 147.12/22.38 [3601] ALPHA_NOT_OR : ~(left_apart_point(A39_24_9, L40_24_9) | left_apart_point(A39_24_9, reverse_line(L40_24_9)))
% 147.12/22.38 -> [3604] ~left_apart_point(A39_24_9, L40_24_9), ~left_apart_point(A39_24_9, reverse_line(L40_24_9))
% 147.12/22.38
% 147.12/22.38 [3604] CLOSURE : ~left_apart_point(A39_24_9, L40_24_9)
% 147.12/22.38
% 147.12/22.38 [3465] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [3634] ~(left_apart_point(A39_28_9, L40_28_9) | left_apart_point(A39_28_9, reverse_line(L40_28_9)))
% 147.12/22.38
% 147.12/22.38 [3634] ALPHA_NOT_OR : ~(left_apart_point(A39_28_9, L40_28_9) | left_apart_point(A39_28_9, reverse_line(L40_28_9)))
% 147.12/22.38 -> [3635] ~left_apart_point(A39_28_9, L40_28_9), ~left_apart_point(A39_28_9, reverse_line(L40_28_9))
% 147.12/22.38
% 147.12/22.38 [3635] CLOSURE : ~left_apart_point(A39_28_9, L40_28_9)
% 147.12/22.38
% 147.12/22.38 [3461] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [3515] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [3516] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [3515] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [3516] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [3290] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [3400] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [3400] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [3401] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [3402] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [3402] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [3403] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [3404] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [3404] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [3591] ~(left_apart_point(A39_21_9, L40_21_9) | left_apart_point(A39_21_9, reverse_line(L40_21_9)))
% 147.12/22.38
% 147.12/22.38 [3591] ALPHA_NOT_OR : ~(left_apart_point(A39_21_9, L40_21_9) | left_apart_point(A39_21_9, reverse_line(L40_21_9)))
% 147.12/22.38 -> [3594] ~left_apart_point(A39_21_9, L40_21_9), ~left_apart_point(A39_21_9, reverse_line(L40_21_9))
% 147.12/22.38
% 147.12/22.38 [3594] CLOSURE : ~left_apart_point(A39_21_9, L40_21_9)
% 147.12/22.38
% 147.12/22.38 [3403] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [3612] ~(left_apart_point(A39_27_9, L40_27_9) | left_apart_point(A39_27_9, reverse_line(L40_27_9)))
% 147.12/22.38
% 147.12/22.38 [3612] ALPHA_NOT_OR : ~(left_apart_point(A39_27_9, L40_27_9) | left_apart_point(A39_27_9, reverse_line(L40_27_9)))
% 147.12/22.38 -> [3615] ~left_apart_point(A39_27_9, L40_27_9), ~left_apart_point(A39_27_9, reverse_line(L40_27_9))
% 147.12/22.38
% 147.12/22.38 [3615] CLOSURE : ~left_apart_point(A39_27_9, L40_27_9)
% 147.12/22.38
% 147.12/22.38 [3401] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [3468] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [3469] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [3469] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [3468] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [3255] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.38 -> [3261] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38 -> [3262] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.38
% 147.12/22.38 [3261] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38
% 147.12/22.38 [3262] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.38 -> [3405] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38
% 147.12/22.38 [3405] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.38 -> [3406] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [3407] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38
% 147.12/22.38 [3407] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [3408] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [3409] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [3408] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [3639] ~(left_apart_point(A39_29_9, L40_29_9) | left_apart_point(A39_29_9, reverse_line(L40_29_9)))
% 147.12/22.38
% 147.12/22.38 [3639] ALPHA_NOT_OR : ~(left_apart_point(A39_29_9, L40_29_9) | left_apart_point(A39_29_9, reverse_line(L40_29_9)))
% 147.12/22.38 -> [3642] ~left_apart_point(A39_29_9, L40_29_9), ~left_apart_point(A39_29_9, reverse_line(L40_29_9))
% 147.12/22.38
% 147.12/22.38 [3642] CLOSURE : ~left_apart_point(A39_29_9, L40_29_9)
% 147.12/22.38
% 147.12/22.38 [3409] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.38 -> [3732] ~(left_apart_point(A39_36_9, L40_36_9) | left_apart_point(A39_36_9, reverse_line(L40_36_9)))
% 147.12/22.38
% 147.12/22.38 [3732] ALPHA_NOT_OR : ~(left_apart_point(A39_36_9, L40_36_9) | left_apart_point(A39_36_9, reverse_line(L40_36_9)))
% 147.12/22.38 -> [3733] ~left_apart_point(A39_36_9, L40_36_9), ~left_apart_point(A39_36_9, reverse_line(L40_36_9))
% 147.12/22.38
% 147.12/22.38 [3733] CLOSURE : ~left_apart_point(A39_36_9, L40_36_9)
% 147.12/22.38
% 147.12/22.38 [3406] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.38 -> [3473] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38 -> [3474] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [3473] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.38
% 147.12/22.38 [3474] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.38
% 147.12/22.38 [486] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.38 -> [539] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.38
% 147.12/22.38 [539] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.38 -> [980] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.12/22.38
% 147.12/22.38 [980] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.12/22.38 -> [983] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38 -> [984] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.12/22.38
% 147.12/22.38 [983] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.38
% 147.12/22.38 [984] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.12/22.38 -> [2356] distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.38 -> [2357] distinct_points(skolem_A8080, skolem_B8181)
% 147.12/22.38
% 147.12/22.38 [2356] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.38
% 147.12/22.38 [2357] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.38 -> [3056] ~distinct_lines(N27_95_3, N27_95_3)
% 147.12/22.38
% 147.12/22.38 [3056] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.38 -> [3131] (distinct_lines(N27_95_3, N27_95_3) => (distinct_lines(N27_95_3, N27_95_3) | distinct_lines(N27_95_3, N27_95_3)))
% 147.12/22.38
% 147.12/22.38 [3131] BETA_IMPLY : (distinct_lines(N27_95_3, N27_95_3) => (distinct_lines(N27_95_3, N27_95_3) | distinct_lines(N27_95_3, N27_95_3)))
% 147.12/22.38 -> [3132] ~distinct_lines(N27_95_3, N27_95_3)
% 147.12/22.38 -> [3133] (distinct_lines(N27_95_3, N27_95_3) | distinct_lines(N27_95_3, N27_95_3))
% 147.12/22.38
% 147.12/22.38 [3133] BETA_OR : (distinct_lines(N27_95_3, N27_95_3) | distinct_lines(N27_95_3, N27_95_3))
% 147.12/22.38 -> [3137] distinct_lines(N27_95_3, N27_95_3)
% 147.12/22.38 -> [3138] distinct_lines(N27_95_3, N27_95_3)
% 147.12/22.38
% 147.12/22.38 [3138] CLOSURE : distinct_lines(N27_95_3, N27_95_3)
% 147.12/22.38
% 147.12/22.38 [3137] CLOSURE : distinct_lines(N27_95_3, N27_95_3)
% 147.12/22.38
% 147.12/22.38 [3132] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.38 -> [3188] ~unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38
% 147.12/22.38 [3188] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.38 -> [3324] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.38
% 147.12/22.38 [3324] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.38 -> [3328] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38 -> [3329] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.38
% 147.12/22.38 [3328] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38
% 147.12/22.38 [3329] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.38 -> [7494] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38 -> [7495] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38
% 147.12/22.38 [7495] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.38
% 147.12/22.38 [7494] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.38 -> [9229] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_115_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_115_6))) | (unequally_directed_lines(skolem_N7979, N34_115_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_115_6)))))
% 147.12/22.38
% 147.12/22.38 [9229] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_115_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_115_6))) | (unequally_directed_lines(skolem_N7979, N34_115_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_115_6)))))
% 147.12/22.38 -> [9234] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [9235] ((unequally_directed_lines(skolem_M7878, N34_115_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_115_6))) | (unequally_directed_lines(skolem_N7979, N34_115_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_115_6))))
% 147.12/22.38
% 147.12/22.38 [9234] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.38 -> [9289] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38 -> [9290] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [9289] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.38
% 147.12/22.38 [9290] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.38
% 147.12/22.38 [9235] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_115_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_115_6))) | (unequally_directed_lines(skolem_N7979, N34_115_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_115_6))))
% 147.12/22.38 -> [12536] (unequally_directed_lines(skolem_M7878, N34_115_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_115_6)))
% 147.12/22.38 -> [12537] (unequally_directed_lines(skolem_N7979, N34_115_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_115_6)))
% 147.12/22.38
% 147.12/22.38 [12537] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_115_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_115_6)))
% 147.12/22.38 -> [12538] unequally_directed_lines(skolem_N7979, N34_115_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_115_6))
% 147.12/22.38
% 147.12/22.38 [12538] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.39 -> [12590] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.12/22.39
% 147.12/22.39 [12590] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.12/22.39 -> [12591] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.39 -> [12592] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.39
% 147.12/22.39 [12591] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.39 -> [12604] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.39 -> [12605] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.39
% 147.12/22.39 [12604] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [12730] ((unequally_directed_lines(skolem_N7979, M38_537_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_537_8))) => (left_convergent_lines(skolem_N7979, M38_537_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_537_8))))
% 147.12/22.39
% 147.12/22.39 [12730] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_537_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_537_8))) => (left_convergent_lines(skolem_N7979, M38_537_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_537_8))))
% 147.12/22.39 -> [12735] ~(unequally_directed_lines(skolem_N7979, M38_537_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_537_8)))
% 147.12/22.39 -> [12736] (left_convergent_lines(skolem_N7979, M38_537_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_537_8)))
% 147.12/22.39
% 147.12/22.39 [12735] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_537_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_537_8)))
% 147.12/22.39 -> [12752] ~unequally_directed_lines(skolem_N7979, M38_537_8)
% 147.12/22.39 -> [12753] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_537_8))
% 147.12/22.39
% 147.12/22.39 [12753] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_537_8))
% 147.12/22.39
% 147.12/22.39 [12752] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_537_8)
% 147.12/22.39
% 147.12/22.39 [12736] BETA_OR : (left_convergent_lines(skolem_N7979, M38_537_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_537_8)))
% 147.12/22.39 -> [12740] left_convergent_lines(skolem_N7979, M38_537_8)
% 147.12/22.39 -> [12741] left_convergent_lines(skolem_N7979, reverse_line(M38_537_8))
% 147.12/22.39
% 147.12/22.39 [12740] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [12759] ~(left_apart_point(A39_1066_9, L40_1066_9) | left_apart_point(A39_1066_9, reverse_line(L40_1066_9)))
% 147.12/22.39
% 147.12/22.39 [12759] ALPHA_NOT_OR : ~(left_apart_point(A39_1066_9, L40_1066_9) | left_apart_point(A39_1066_9, reverse_line(L40_1066_9)))
% 147.12/22.39 -> [12760] ~left_apart_point(A39_1066_9, L40_1066_9), ~left_apart_point(A39_1066_9, reverse_line(L40_1066_9))
% 147.12/22.39
% 147.12/22.39 [12760] CLOSURE : ~left_apart_point(A39_1066_9, L40_1066_9)
% 147.12/22.39
% 147.12/22.39 [12741] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [12763] ~(left_apart_point(A39_1067_9, L40_1067_9) | left_apart_point(A39_1067_9, reverse_line(L40_1067_9)))
% 147.12/22.39
% 147.12/22.39 [12763] ALPHA_NOT_OR : ~(left_apart_point(A39_1067_9, L40_1067_9) | left_apart_point(A39_1067_9, reverse_line(L40_1067_9)))
% 147.12/22.39 -> [12764] ~left_apart_point(A39_1067_9, L40_1067_9), ~left_apart_point(A39_1067_9, reverse_line(L40_1067_9))
% 147.12/22.39
% 147.12/22.39 [12764] CLOSURE : ~left_apart_point(A39_1067_9, L40_1067_9)
% 147.12/22.39
% 147.12/22.39 [12605] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [12783] ((unequally_directed_lines(skolem_N7979, M38_540_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_540_8))) => (left_convergent_lines(skolem_N7979, M38_540_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_540_8))))
% 147.12/22.39
% 147.12/22.39 [12783] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_540_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_540_8))) => (left_convergent_lines(skolem_N7979, M38_540_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_540_8))))
% 147.12/22.39 -> [12784] ~(unequally_directed_lines(skolem_N7979, M38_540_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_540_8)))
% 147.12/22.39 -> [12785] (left_convergent_lines(skolem_N7979, M38_540_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_540_8)))
% 147.12/22.39
% 147.12/22.39 [12784] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_540_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_540_8)))
% 147.12/22.39 -> [12795] ~unequally_directed_lines(skolem_N7979, M38_540_8)
% 147.12/22.39 -> [12796] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_540_8))
% 147.12/22.39
% 147.12/22.39 [12796] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_540_8))
% 147.12/22.39
% 147.12/22.39 [12795] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_540_8)
% 147.12/22.39
% 147.12/22.39 [12785] BETA_OR : (left_convergent_lines(skolem_N7979, M38_540_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_540_8)))
% 147.12/22.39 -> [12787] left_convergent_lines(skolem_N7979, M38_540_8)
% 147.12/22.39 -> [12788] left_convergent_lines(skolem_N7979, reverse_line(M38_540_8))
% 147.12/22.39
% 147.12/22.39 [12787] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [12804] ~(left_apart_point(A39_1079_9, L40_1079_9) | left_apart_point(A39_1079_9, reverse_line(L40_1079_9)))
% 147.12/22.39
% 147.12/22.39 [12804] ALPHA_NOT_OR : ~(left_apart_point(A39_1079_9, L40_1079_9) | left_apart_point(A39_1079_9, reverse_line(L40_1079_9)))
% 147.12/22.39 -> [12805] ~left_apart_point(A39_1079_9, L40_1079_9), ~left_apart_point(A39_1079_9, reverse_line(L40_1079_9))
% 147.12/22.39
% 147.12/22.39 [12805] CLOSURE : ~left_apart_point(A39_1079_9, L40_1079_9)
% 147.12/22.39
% 147.12/22.39 [12788] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [12820] ~(left_apart_point(A39_1081_9, L40_1081_9) | left_apart_point(A39_1081_9, reverse_line(L40_1081_9)))
% 147.12/22.39
% 147.12/22.39 [12820] ALPHA_NOT_OR : ~(left_apart_point(A39_1081_9, L40_1081_9) | left_apart_point(A39_1081_9, reverse_line(L40_1081_9)))
% 147.12/22.39 -> [12823] ~left_apart_point(A39_1081_9, L40_1081_9), ~left_apart_point(A39_1081_9, reverse_line(L40_1081_9))
% 147.12/22.39
% 147.12/22.39 [12823] CLOSURE : ~left_apart_point(A39_1081_9, L40_1081_9)
% 147.12/22.39
% 147.12/22.39 [12592] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.39 -> [12596] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.39 -> [12597] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.39
% 147.12/22.39 [12596] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.39
% 147.12/22.39 [12597] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [12790] ((unequally_directed_lines(skolem_N7979, M38_541_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_541_8))) => (left_convergent_lines(skolem_N7979, M38_541_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_541_8))))
% 147.12/22.39
% 147.12/22.39 [12790] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_541_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_541_8))) => (left_convergent_lines(skolem_N7979, M38_541_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_541_8))))
% 147.12/22.39 -> [12792] ~(unequally_directed_lines(skolem_N7979, M38_541_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_541_8)))
% 147.12/22.39 -> [12793] (left_convergent_lines(skolem_N7979, M38_541_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_541_8)))
% 147.12/22.39
% 147.12/22.39 [12793] BETA_OR : (left_convergent_lines(skolem_N7979, M38_541_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_541_8)))
% 147.12/22.39 -> [12799] left_convergent_lines(skolem_N7979, M38_541_8)
% 147.12/22.39 -> [12800] left_convergent_lines(skolem_N7979, reverse_line(M38_541_8))
% 147.12/22.39
% 147.12/22.39 [12800] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [12803] ~(left_apart_point(A39_1078_9, L40_1078_9) | left_apart_point(A39_1078_9, reverse_line(L40_1078_9)))
% 147.12/22.39
% 147.12/22.39 [12803] ALPHA_NOT_OR : ~(left_apart_point(A39_1078_9, L40_1078_9) | left_apart_point(A39_1078_9, reverse_line(L40_1078_9)))
% 147.12/22.39 -> [12806] ~left_apart_point(A39_1078_9, L40_1078_9), ~left_apart_point(A39_1078_9, reverse_line(L40_1078_9))
% 147.12/22.39
% 147.12/22.39 [12806] CLOSURE : ~left_apart_point(A39_1078_9, L40_1078_9)
% 147.12/22.39
% 147.12/22.39 [12799] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [12808] ~(left_apart_point(A39_1080_9, L40_1080_9) | left_apart_point(A39_1080_9, reverse_line(L40_1080_9)))
% 147.12/22.39
% 147.12/22.39 [12808] ALPHA_NOT_OR : ~(left_apart_point(A39_1080_9, L40_1080_9) | left_apart_point(A39_1080_9, reverse_line(L40_1080_9)))
% 147.12/22.39 -> [12813] ~left_apart_point(A39_1080_9, L40_1080_9), ~left_apart_point(A39_1080_9, reverse_line(L40_1080_9))
% 147.12/22.39
% 147.12/22.39 [12813] CLOSURE : ~left_apart_point(A39_1080_9, L40_1080_9)
% 147.12/22.39
% 147.12/22.39 [12792] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_541_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_541_8)))
% 147.12/22.39 -> [12809] ~unequally_directed_lines(skolem_N7979, M38_541_8)
% 147.12/22.39 -> [12810] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_541_8))
% 147.12/22.39
% 147.12/22.39 [12809] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_541_8)
% 147.12/22.39
% 147.12/22.39 [12810] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_541_8))
% 147.12/22.39
% 147.12/22.39 [12536] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_115_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_115_6)))
% 147.12/22.39 -> [12558] unequally_directed_lines(skolem_M7878, N34_115_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_115_6))
% 147.12/22.39
% 147.12/22.39 [12558] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.39 -> [12695] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.12/22.39
% 147.12/22.39 [12695] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.12/22.39 -> [12696] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.39 -> [12697] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.39
% 147.12/22.39 [12696] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.39 -> [12781] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.39 -> [12782] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.39
% 147.12/22.39 [12782] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [12819] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [12819] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [12827] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [12828] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [12828] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [12833] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [12834] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [12834] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [12845] ~(left_apart_point(A39_1084_9, L40_1084_9) | left_apart_point(A39_1084_9, reverse_line(L40_1084_9)))
% 147.12/22.39
% 147.12/22.39 [12845] ALPHA_NOT_OR : ~(left_apart_point(A39_1084_9, L40_1084_9) | left_apart_point(A39_1084_9, reverse_line(L40_1084_9)))
% 147.12/22.39 -> [12848] ~left_apart_point(A39_1084_9, L40_1084_9), ~left_apart_point(A39_1084_9, reverse_line(L40_1084_9))
% 147.12/22.39
% 147.12/22.39 [12848] CLOSURE : ~left_apart_point(A39_1084_9, L40_1084_9)
% 147.12/22.39
% 147.12/22.39 [12833] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [12844] ~(left_apart_point(A39_1083_9, L40_1083_9) | left_apart_point(A39_1083_9, reverse_line(L40_1083_9)))
% 147.12/22.39
% 147.12/22.39 [12844] ALPHA_NOT_OR : ~(left_apart_point(A39_1083_9, L40_1083_9) | left_apart_point(A39_1083_9, reverse_line(L40_1083_9)))
% 147.12/22.39 -> [12846] ~left_apart_point(A39_1083_9, L40_1083_9), ~left_apart_point(A39_1083_9, reverse_line(L40_1083_9))
% 147.12/22.39
% 147.12/22.39 [12846] CLOSURE : ~left_apart_point(A39_1083_9, L40_1083_9)
% 147.12/22.39
% 147.12/22.39 [12827] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [12838] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [12839] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [12838] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [12839] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [12781] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [12807] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [12807] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [12811] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [12812] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [12811] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [12817] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [12818] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [12818] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [12817] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [12812] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [12814] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [12815] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [12815] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [12870] ~(left_apart_point(A39_1091_9, L40_1091_9) | left_apart_point(A39_1091_9, reverse_line(L40_1091_9)))
% 147.12/22.39
% 147.12/22.39 [12870] ALPHA_NOT_OR : ~(left_apart_point(A39_1091_9, L40_1091_9) | left_apart_point(A39_1091_9, reverse_line(L40_1091_9)))
% 147.12/22.39 -> [12871] ~left_apart_point(A39_1091_9, L40_1091_9), ~left_apart_point(A39_1091_9, reverse_line(L40_1091_9))
% 147.12/22.39
% 147.12/22.39 [12871] CLOSURE : ~left_apart_point(A39_1091_9, L40_1091_9)
% 147.12/22.39
% 147.12/22.39 [12814] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [12865] ~(left_apart_point(A39_1089_9, L40_1089_9) | left_apart_point(A39_1089_9, reverse_line(L40_1089_9)))
% 147.12/22.39
% 147.12/22.39 [12865] ALPHA_NOT_OR : ~(left_apart_point(A39_1089_9, L40_1089_9) | left_apart_point(A39_1089_9, reverse_line(L40_1089_9)))
% 147.12/22.39 -> [12867] ~left_apart_point(A39_1089_9, L40_1089_9), ~left_apart_point(A39_1089_9, reverse_line(L40_1089_9))
% 147.12/22.39
% 147.12/22.39 [12867] CLOSURE : ~left_apart_point(A39_1089_9, L40_1089_9)
% 147.12/22.39
% 147.12/22.39 [12697] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.12/22.39 -> [12704] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.39 -> [12705] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.39
% 147.12/22.39 [12704] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.39
% 147.12/22.39 [12705] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [12850] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [12850] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [12852] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [12853] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [12852] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [12861] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [12862] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [12861] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [12862] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [12853] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [12857] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [12858] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [12858] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [12866] ~(left_apart_point(A39_1090_9, L40_1090_9) | left_apart_point(A39_1090_9, reverse_line(L40_1090_9)))
% 147.12/22.39
% 147.12/22.39 [12866] ALPHA_NOT_OR : ~(left_apart_point(A39_1090_9, L40_1090_9) | left_apart_point(A39_1090_9, reverse_line(L40_1090_9)))
% 147.12/22.39 -> [12868] ~left_apart_point(A39_1090_9, L40_1090_9), ~left_apart_point(A39_1090_9, reverse_line(L40_1090_9))
% 147.12/22.39
% 147.12/22.39 [12868] CLOSURE : ~left_apart_point(A39_1090_9, L40_1090_9)
% 147.12/22.39
% 147.12/22.39 [12857] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [12880] ~(left_apart_point(A39_1093_9, L40_1093_9) | left_apart_point(A39_1093_9, reverse_line(L40_1093_9)))
% 147.12/22.39
% 147.12/22.39 [12880] ALPHA_NOT_OR : ~(left_apart_point(A39_1093_9, L40_1093_9) | left_apart_point(A39_1093_9, reverse_line(L40_1093_9)))
% 147.12/22.39 -> [12882] ~left_apart_point(A39_1093_9, L40_1093_9), ~left_apart_point(A39_1093_9, reverse_line(L40_1093_9))
% 147.12/22.39
% 147.12/22.39 [12882] CLOSURE : ~left_apart_point(A39_1093_9, L40_1093_9)
% 147.12/22.39
% 147.12/22.39 [29] Rewrite : ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.12/22.39 -> [33] ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39
% 147.12/22.39 [33] BETA_OR : ((before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)) | (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)))
% 147.12/22.39 -> [39] (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 147.12/22.39 -> [40] (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 147.12/22.39
% 147.12/22.39 [40] ALPHA_AND : (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 147.12/22.39 -> [49] before_on_line(skolem_L7777, skolem_C8282, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [49] Rewrite : before_on_line(skolem_L7777, skolem_C8282, skolem_B8181)
% 147.12/22.39 -> [57] (((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.39
% 147.12/22.39 [57] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [68] (((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)))
% 147.12/22.39
% 147.12/22.39 [68] ALPHA_AND : (((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)))
% 147.12/22.39 -> [71] ((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [71] ALPHA_AND : (((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)))
% 147.12/22.39 -> [79] ((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.12/22.39
% 147.12/22.39 [79] ALPHA_AND : ((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.12/22.39 -> [89] (distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.12/22.39
% 147.12/22.39 [89] ALPHA_AND : ((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777))))
% 147.12/22.39 -> [95] (distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.12/22.39
% 147.12/22.39 [95] ALPHA_AND : (distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777))))
% 147.12/22.39 -> [100] distinct_points(skolem_C8282, skolem_B8181), ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.12/22.39
% 147.12/22.39 [100] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.12/22.39 -> [110] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.12/22.39
% 147.12/22.39 [110] ALPHA_AND : (distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.12/22.39 -> [118] distinct_points(skolem_B8181, skolem_A8080), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.12/22.39
% 147.12/22.39 [118] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.12/22.39 -> [126] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 147.12/22.39
% 147.12/22.39 [126] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.12/22.39 -> [134] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 147.12/22.39
% 147.12/22.39 [134] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.12/22.39 -> [143] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.12/22.39
% 147.12/22.39 [143] BETA_NOT_AND : ~(((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.12/22.39 -> [154] ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.12/22.39 -> [155] ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.39
% 147.12/22.39 [155] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.39 -> [168] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.39
% 147.12/22.39 [168] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39 -> [201] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [202] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [202] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39 -> [209] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [209] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.39 -> [242] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [242] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.39 -> [259] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39
% 147.12/22.39 [259] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39 -> [593] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [594] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39
% 147.12/22.39 [593] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [594] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39 -> [1407] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [1408] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1408] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1407] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.39 -> [1561] ~distinct_lines(N27_12_3, N27_12_3)
% 147.12/22.39
% 147.12/22.39 [1561] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.39 -> [1643] (distinct_lines(N27_12_3, N27_12_3) => (distinct_lines(N27_12_3, N27_12_3) | distinct_lines(N27_12_3, N27_12_3)))
% 147.12/22.39
% 147.12/22.39 [1643] BETA_IMPLY : (distinct_lines(N27_12_3, N27_12_3) => (distinct_lines(N27_12_3, N27_12_3) | distinct_lines(N27_12_3, N27_12_3)))
% 147.12/22.39 -> [1644] ~distinct_lines(N27_12_3, N27_12_3)
% 147.12/22.39 -> [1645] (distinct_lines(N27_12_3, N27_12_3) | distinct_lines(N27_12_3, N27_12_3))
% 147.12/22.39
% 147.12/22.39 [1645] BETA_OR : (distinct_lines(N27_12_3, N27_12_3) | distinct_lines(N27_12_3, N27_12_3))
% 147.12/22.39 -> [1647] distinct_lines(N27_12_3, N27_12_3)
% 147.12/22.39 -> [1648] distinct_lines(N27_12_3, N27_12_3)
% 147.12/22.39
% 147.12/22.39 [1648] CLOSURE : distinct_lines(N27_12_3, N27_12_3)
% 147.12/22.39
% 147.12/22.39 [1647] CLOSURE : distinct_lines(N27_12_3, N27_12_3)
% 147.12/22.39
% 147.12/22.39 [1644] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.39 -> [1802] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [1802] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.39 -> [1861] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [1861] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 147.12/22.39 -> [1864] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [1865] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [1864] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39
% 147.12/22.39 [1865] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 147.12/22.39 -> [4169] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39 -> [4170] unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [4169] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [4170] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.39 -> [5263] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.39
% 147.12/22.39 [5263] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.39 -> [5266] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [5267] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [5266] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [5288] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [5289] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [5289] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [5288] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39
% 147.12/22.39 [5267] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [8813] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [8814] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [8813] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [8834] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [8834] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [8814] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [8821] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [8821] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.39 -> [8950] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [8950] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [8953] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.39 -> [8954] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [8954] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [8958] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39 -> [8959] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [8959] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [8994] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.39
% 147.12/22.39 [8994] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.39 -> [8995] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [8996] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39
% 147.12/22.39 [8995] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [9003] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [9004] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [9004] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [9003] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39
% 147.12/22.39 [8996] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [8997] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [8998] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [8998] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [9030] ~(left_apart_point(A39_567_9, L40_567_9) | left_apart_point(A39_567_9, reverse_line(L40_567_9)))
% 147.12/22.39
% 147.12/22.39 [9030] ALPHA_NOT_OR : ~(left_apart_point(A39_567_9, L40_567_9) | left_apart_point(A39_567_9, reverse_line(L40_567_9)))
% 147.12/22.39 -> [9032] ~left_apart_point(A39_567_9, L40_567_9), ~left_apart_point(A39_567_9, reverse_line(L40_567_9))
% 147.12/22.39
% 147.12/22.39 [9032] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [9145] ~(left_convergent_lines(L41_175_10, M42_175_10) | left_convergent_lines(L41_175_10, reverse_line(M42_175_10)))
% 147.12/22.39
% 147.12/22.39 [9145] ALPHA_NOT_OR : ~(left_convergent_lines(L41_175_10, M42_175_10) | left_convergent_lines(L41_175_10, reverse_line(M42_175_10)))
% 147.12/22.39 -> [9146] ~left_convergent_lines(L41_175_10, M42_175_10), ~left_convergent_lines(L41_175_10, reverse_line(M42_175_10))
% 147.12/22.39
% 147.12/22.39 [9146] CLOSURE : ~left_convergent_lines(L41_175_10, M42_175_10)
% 147.12/22.39
% 147.12/22.39 [8997] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [9042] ~(left_apart_point(A39_569_9, L40_569_9) | left_apart_point(A39_569_9, reverse_line(L40_569_9)))
% 147.12/22.39
% 147.12/22.39 [9042] ALPHA_NOT_OR : ~(left_apart_point(A39_569_9, L40_569_9) | left_apart_point(A39_569_9, reverse_line(L40_569_9)))
% 147.12/22.39 -> [9044] ~left_apart_point(A39_569_9, L40_569_9), ~left_apart_point(A39_569_9, reverse_line(L40_569_9))
% 147.12/22.39
% 147.12/22.39 [9044] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [9186] ~(left_convergent_lines(L41_176_10, M42_176_10) | left_convergent_lines(L41_176_10, reverse_line(M42_176_10)))
% 147.12/22.39
% 147.12/22.39 [9186] ALPHA_NOT_OR : ~(left_convergent_lines(L41_176_10, M42_176_10) | left_convergent_lines(L41_176_10, reverse_line(M42_176_10)))
% 147.12/22.39 -> [9188] ~left_convergent_lines(L41_176_10, M42_176_10), ~left_convergent_lines(L41_176_10, reverse_line(M42_176_10))
% 147.12/22.39
% 147.12/22.39 [9188] CLOSURE : ~left_convergent_lines(L41_176_10, M42_176_10)
% 147.12/22.39
% 147.12/22.39 [8958] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [8953] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.39 -> [8971] ~line(skolem_M7878)
% 147.12/22.39 -> [8972] ~line(skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [8971] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [9222] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.39
% 147.12/22.39 [9222] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.39 -> [9223] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [9224] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39
% 147.12/22.39 [9223] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [9242] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [9243] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [9243] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [9242] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39
% 147.12/22.39 [9224] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [9232] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [9233] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [9233] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [9902] ~(left_apart_point(A39_677_9, L40_677_9) | left_apart_point(A39_677_9, reverse_line(L40_677_9)))
% 147.12/22.39
% 147.12/22.39 [9902] ALPHA_NOT_OR : ~(left_apart_point(A39_677_9, L40_677_9) | left_apart_point(A39_677_9, reverse_line(L40_677_9)))
% 147.12/22.39 -> [9903] ~left_apart_point(A39_677_9, L40_677_9), ~left_apart_point(A39_677_9, reverse_line(L40_677_9))
% 147.12/22.39
% 147.12/22.39 [9903] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [10031] ~(left_convergent_lines(L41_187_10, M42_187_10) | left_convergent_lines(L41_187_10, reverse_line(M42_187_10)))
% 147.12/22.39
% 147.12/22.39 [10031] ALPHA_NOT_OR : ~(left_convergent_lines(L41_187_10, M42_187_10) | left_convergent_lines(L41_187_10, reverse_line(M42_187_10)))
% 147.12/22.39 -> [10033] ~left_convergent_lines(L41_187_10, M42_187_10), ~left_convergent_lines(L41_187_10, reverse_line(M42_187_10))
% 147.12/22.39
% 147.12/22.39 [10033] CLOSURE : ~left_convergent_lines(L41_187_10, M42_187_10)
% 147.12/22.39
% 147.12/22.39 [9232] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [10012] ~(left_apart_point(A39_684_9, L40_684_9) | left_apart_point(A39_684_9, reverse_line(L40_684_9)))
% 147.12/22.39
% 147.12/22.39 [10012] ALPHA_NOT_OR : ~(left_apart_point(A39_684_9, L40_684_9) | left_apart_point(A39_684_9, reverse_line(L40_684_9)))
% 147.12/22.39 -> [10014] ~left_apart_point(A39_684_9, L40_684_9), ~left_apart_point(A39_684_9, reverse_line(L40_684_9))
% 147.12/22.39
% 147.12/22.39 [10014] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [10188] ~(left_convergent_lines(L41_188_10, M42_188_10) | left_convergent_lines(L41_188_10, reverse_line(M42_188_10)))
% 147.12/22.39
% 147.12/22.39 [10188] ALPHA_NOT_OR : ~(left_convergent_lines(L41_188_10, M42_188_10) | left_convergent_lines(L41_188_10, reverse_line(M42_188_10)))
% 147.12/22.39 -> [10190] ~left_convergent_lines(L41_188_10, M42_188_10), ~left_convergent_lines(L41_188_10, reverse_line(M42_188_10))
% 147.12/22.39
% 147.12/22.39 [10190] CLOSURE : ~left_convergent_lines(L41_188_10, M42_188_10)
% 147.12/22.39
% 147.12/22.39 [8972] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [9280] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.39
% 147.12/22.39 [9280] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.39 -> [9283] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [9284] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39
% 147.12/22.39 [9283] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [9316] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [9317] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [9317] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [9316] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39
% 147.12/22.39 [9284] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [9293] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [9294] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [9294] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [10296] ~(left_apart_point(A39_719_9, L40_719_9) | left_apart_point(A39_719_9, reverse_line(L40_719_9)))
% 147.12/22.39
% 147.12/22.39 [10296] ALPHA_NOT_OR : ~(left_apart_point(A39_719_9, L40_719_9) | left_apart_point(A39_719_9, reverse_line(L40_719_9)))
% 147.12/22.39 -> [10301] ~left_apart_point(A39_719_9, L40_719_9), ~left_apart_point(A39_719_9, reverse_line(L40_719_9))
% 147.12/22.39
% 147.12/22.39 [10301] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [10431] ~(left_convergent_lines(L41_194_10, M42_194_10) | left_convergent_lines(L41_194_10, reverse_line(M42_194_10)))
% 147.12/22.39
% 147.12/22.39 [10431] ALPHA_NOT_OR : ~(left_convergent_lines(L41_194_10, M42_194_10) | left_convergent_lines(L41_194_10, reverse_line(M42_194_10)))
% 147.12/22.39 -> [10432] ~left_convergent_lines(L41_194_10, M42_194_10), ~left_convergent_lines(L41_194_10, reverse_line(M42_194_10))
% 147.12/22.39
% 147.12/22.39 [10432] CLOSURE : ~left_convergent_lines(L41_194_10, M42_194_10)
% 147.12/22.39
% 147.12/22.39 [9293] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [10363] ~(left_apart_point(A39_726_9, L40_726_9) | left_apart_point(A39_726_9, reverse_line(L40_726_9)))
% 147.12/22.39
% 147.12/22.39 [10363] ALPHA_NOT_OR : ~(left_apart_point(A39_726_9, L40_726_9) | left_apart_point(A39_726_9, reverse_line(L40_726_9)))
% 147.12/22.39 -> [10364] ~left_apart_point(A39_726_9, L40_726_9), ~left_apart_point(A39_726_9, reverse_line(L40_726_9))
% 147.12/22.39
% 147.12/22.39 [10364] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [10570] ~(left_convergent_lines(L41_205_10, M42_205_10) | left_convergent_lines(L41_205_10, reverse_line(M42_205_10)))
% 147.12/22.39
% 147.12/22.39 [10570] ALPHA_NOT_OR : ~(left_convergent_lines(L41_205_10, M42_205_10) | left_convergent_lines(L41_205_10, reverse_line(M42_205_10)))
% 147.12/22.39 -> [10573] ~left_convergent_lines(L41_205_10, M42_205_10), ~left_convergent_lines(L41_205_10, reverse_line(M42_205_10))
% 147.12/22.39
% 147.12/22.39 [10573] CLOSURE : ~left_convergent_lines(L41_205_10, M42_205_10)
% 147.12/22.39
% 147.12/22.39 [201] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [218] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.12/22.39 -> [219] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [219] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [304] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [304] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [306] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.39 -> [307] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [307] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [306] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [218] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.12/22.39 -> [625] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.12/22.39 -> [626] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [625] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.39 -> [642] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [642] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.39 -> [654] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39
% 147.12/22.39 [654] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39 -> [657] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [658] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39
% 147.12/22.39 [657] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [658] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39 -> [1618] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [1619] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1619] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1618] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.39 -> [2028] ~distinct_lines(L25_38_3, L25_38_3)
% 147.12/22.39
% 147.12/22.39 [2028] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.39 -> [2047] (distinct_lines(L25_38_3, L25_38_3) => (distinct_lines(L25_38_3, L25_38_3) | distinct_lines(L25_38_3, L25_38_3)))
% 147.12/22.39
% 147.12/22.39 [2047] BETA_IMPLY : (distinct_lines(L25_38_3, L25_38_3) => (distinct_lines(L25_38_3, L25_38_3) | distinct_lines(L25_38_3, L25_38_3)))
% 147.12/22.39 -> [2049] ~distinct_lines(L25_38_3, L25_38_3)
% 147.12/22.39 -> [2050] (distinct_lines(L25_38_3, L25_38_3) | distinct_lines(L25_38_3, L25_38_3))
% 147.12/22.39
% 147.12/22.39 [2050] BETA_OR : (distinct_lines(L25_38_3, L25_38_3) | distinct_lines(L25_38_3, L25_38_3))
% 147.12/22.39 -> [2054] distinct_lines(L25_38_3, L25_38_3)
% 147.12/22.39 -> [2055] distinct_lines(L25_38_3, L25_38_3)
% 147.12/22.39
% 147.12/22.39 [2055] CLOSURE : distinct_lines(L25_38_3, L25_38_3)
% 147.12/22.39
% 147.12/22.39 [2054] CLOSURE : distinct_lines(L25_38_3, L25_38_3)
% 147.12/22.39
% 147.12/22.39 [2049] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.39 -> [2265] ~unequally_directed_lines(skolem_L7777, skolem_L7777)
% 147.12/22.39
% 147.12/22.39 [2265] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.39 -> [2341] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777)))
% 147.12/22.39
% 147.12/22.39 [2341] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777)))
% 147.12/22.39 -> [2342] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [2343] (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777))
% 147.12/22.39
% 147.12/22.39 [2342] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [2343] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_M7878, skolem_L7777))
% 147.12/22.39 -> [3248] unequally_directed_lines(skolem_L7777, skolem_L7777)
% 147.12/22.39 -> [3249] unequally_directed_lines(skolem_M7878, skolem_L7777)
% 147.12/22.39
% 147.12/22.39 [3248] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 147.12/22.39
% 147.12/22.39 [3249] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.39 -> [3896] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_26_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_26_6))) | (unequally_directed_lines(skolem_N7979, N34_26_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_26_6)))))
% 147.12/22.39
% 147.12/22.39 [3896] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_26_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_26_6))) | (unequally_directed_lines(skolem_N7979, N34_26_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_26_6)))))
% 147.12/22.39 -> [3898] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [3899] ((unequally_directed_lines(skolem_M7878, N34_26_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_26_6))) | (unequally_directed_lines(skolem_N7979, N34_26_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_26_6))))
% 147.12/22.39
% 147.12/22.39 [3898] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [3939] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [3940] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [3940] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [3939] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39
% 147.12/22.39 [3899] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_26_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_26_6))) | (unequally_directed_lines(skolem_N7979, N34_26_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_26_6))))
% 147.12/22.39 -> [4975] (unequally_directed_lines(skolem_M7878, N34_26_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_26_6)))
% 147.12/22.39 -> [4976] (unequally_directed_lines(skolem_N7979, N34_26_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_26_6)))
% 147.12/22.39
% 147.12/22.39 [4975] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_26_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_26_6)))
% 147.12/22.39 -> [5012] unequally_directed_lines(skolem_M7878, N34_26_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_26_6))
% 147.12/22.39
% 147.12/22.39 [5012] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.39 -> [5055] ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 147.12/22.39
% 147.12/22.39 [5055] BETA_IMPLY : ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 147.12/22.39 -> [5056] ~(line(skolem_L7777) & line(skolem_L7777))
% 147.12/22.39 -> [5057] (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 147.12/22.39
% 147.12/22.39 [5057] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 147.12/22.39 -> [5061] unequally_directed_lines(skolem_L7777, skolem_L7777)
% 147.12/22.39 -> [5062] unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 147.12/22.39
% 147.12/22.39 [5061] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 147.12/22.39
% 147.12/22.39 [5062] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [5127] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [5127] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [5128] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [5129] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [5129] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [5130] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [5131] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [5130] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5161] ~(left_apart_point(A39_143_9, L40_143_9) | left_apart_point(A39_143_9, reverse_line(L40_143_9)))
% 147.12/22.39
% 147.12/22.39 [5161] ALPHA_NOT_OR : ~(left_apart_point(A39_143_9, L40_143_9) | left_apart_point(A39_143_9, reverse_line(L40_143_9)))
% 147.12/22.39 -> [5163] ~left_apart_point(A39_143_9, L40_143_9), ~left_apart_point(A39_143_9, reverse_line(L40_143_9))
% 147.12/22.39
% 147.12/22.39 [5163] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [5173] ~(left_convergent_lines(L41_15_10, M42_15_10) | left_convergent_lines(L41_15_10, reverse_line(M42_15_10)))
% 147.12/22.39
% 147.12/22.39 [5173] ALPHA_NOT_OR : ~(left_convergent_lines(L41_15_10, M42_15_10) | left_convergent_lines(L41_15_10, reverse_line(M42_15_10)))
% 147.12/22.39 -> [5176] ~left_convergent_lines(L41_15_10, M42_15_10), ~left_convergent_lines(L41_15_10, reverse_line(M42_15_10))
% 147.12/22.39
% 147.12/22.39 [5176] CLOSURE : ~left_convergent_lines(L41_15_10, M42_15_10)
% 147.12/22.39
% 147.12/22.39 [5131] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5240] ~(left_apart_point(A39_154_9, L40_154_9) | left_apart_point(A39_154_9, reverse_line(L40_154_9)))
% 147.12/22.39
% 147.12/22.39 [5240] ALPHA_NOT_OR : ~(left_apart_point(A39_154_9, L40_154_9) | left_apart_point(A39_154_9, reverse_line(L40_154_9)))
% 147.12/22.39 -> [5244] ~left_apart_point(A39_154_9, L40_154_9), ~left_apart_point(A39_154_9, reverse_line(L40_154_9))
% 147.12/22.39
% 147.12/22.39 [5244] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [5353] ~(left_convergent_lines(L41_24_10, M42_24_10) | left_convergent_lines(L41_24_10, reverse_line(M42_24_10)))
% 147.12/22.39
% 147.12/22.39 [5353] ALPHA_NOT_OR : ~(left_convergent_lines(L41_24_10, M42_24_10) | left_convergent_lines(L41_24_10, reverse_line(M42_24_10)))
% 147.12/22.39 -> [5354] ~left_convergent_lines(L41_24_10, M42_24_10), ~left_convergent_lines(L41_24_10, reverse_line(M42_24_10))
% 147.12/22.39
% 147.12/22.39 [5354] CLOSURE : ~left_convergent_lines(L41_24_10, M42_24_10)
% 147.12/22.39
% 147.12/22.39 [5128] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [5154] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [5155] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [5155] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [5154] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [5056] BETA_NOT_AND : ~(line(skolem_L7777) & line(skolem_L7777))
% 147.12/22.39 -> [5080] ~line(skolem_L7777)
% 147.12/22.39 -> [5081] ~line(skolem_L7777)
% 147.12/22.39
% 147.12/22.39 [5081] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [5118] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [5118] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [5119] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [5120] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [5119] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [5533] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [5534] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [5534] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [5533] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [5120] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [5123] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [5124] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [5124] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5192] ~(left_apart_point(A39_149_9, L40_149_9) | left_apart_point(A39_149_9, reverse_line(L40_149_9)))
% 147.12/22.39
% 147.12/22.39 [5192] ALPHA_NOT_OR : ~(left_apart_point(A39_149_9, L40_149_9) | left_apart_point(A39_149_9, reverse_line(L40_149_9)))
% 147.12/22.39 -> [5195] ~left_apart_point(A39_149_9, L40_149_9), ~left_apart_point(A39_149_9, reverse_line(L40_149_9))
% 147.12/22.39
% 147.12/22.39 [5195] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [5395] ~(left_convergent_lines(L41_29_10, M42_29_10) | left_convergent_lines(L41_29_10, reverse_line(M42_29_10)))
% 147.12/22.39
% 147.12/22.39 [5395] ALPHA_NOT_OR : ~(left_convergent_lines(L41_29_10, M42_29_10) | left_convergent_lines(L41_29_10, reverse_line(M42_29_10)))
% 147.12/22.39 -> [5396] ~left_convergent_lines(L41_29_10, M42_29_10), ~left_convergent_lines(L41_29_10, reverse_line(M42_29_10))
% 147.12/22.39
% 147.12/22.39 [5396] CLOSURE : ~left_convergent_lines(L41_29_10, M42_29_10)
% 147.12/22.39
% 147.12/22.39 [5123] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5815] ~(left_apart_point(A39_198_9, L40_198_9) | left_apart_point(A39_198_9, reverse_line(L40_198_9)))
% 147.12/22.39
% 147.12/22.39 [5815] ALPHA_NOT_OR : ~(left_apart_point(A39_198_9, L40_198_9) | left_apart_point(A39_198_9, reverse_line(L40_198_9)))
% 147.12/22.39 -> [5818] ~left_apart_point(A39_198_9, L40_198_9), ~left_apart_point(A39_198_9, reverse_line(L40_198_9))
% 147.12/22.39
% 147.12/22.39 [5818] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [6316] ~(left_convergent_lines(L41_46_10, M42_46_10) | left_convergent_lines(L41_46_10, reverse_line(M42_46_10)))
% 147.12/22.39
% 147.12/22.39 [6316] ALPHA_NOT_OR : ~(left_convergent_lines(L41_46_10, M42_46_10) | left_convergent_lines(L41_46_10, reverse_line(M42_46_10)))
% 147.12/22.39 -> [6320] ~left_convergent_lines(L41_46_10, M42_46_10), ~left_convergent_lines(L41_46_10, reverse_line(M42_46_10))
% 147.12/22.39
% 147.12/22.39 [6320] CLOSURE : ~left_convergent_lines(L41_46_10, M42_46_10)
% 147.12/22.39
% 147.12/22.39 [5080] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [5535] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [5535] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [5539] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [5540] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [5539] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [5590] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [5591] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [5591] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [5590] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [5540] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [5543] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [5544] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [5544] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5770] ~(left_apart_point(A39_197_9, L40_197_9) | left_apart_point(A39_197_9, reverse_line(L40_197_9)))
% 147.12/22.39
% 147.12/22.39 [5770] ALPHA_NOT_OR : ~(left_apart_point(A39_197_9, L40_197_9) | left_apart_point(A39_197_9, reverse_line(L40_197_9)))
% 147.12/22.39 -> [5773] ~left_apart_point(A39_197_9, L40_197_9), ~left_apart_point(A39_197_9, reverse_line(L40_197_9))
% 147.12/22.39
% 147.12/22.39 [5773] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [6182] ~(left_convergent_lines(L41_44_10, M42_44_10) | left_convergent_lines(L41_44_10, reverse_line(M42_44_10)))
% 147.12/22.39
% 147.12/22.39 [6182] ALPHA_NOT_OR : ~(left_convergent_lines(L41_44_10, M42_44_10) | left_convergent_lines(L41_44_10, reverse_line(M42_44_10)))
% 147.12/22.39 -> [6184] ~left_convergent_lines(L41_44_10, M42_44_10), ~left_convergent_lines(L41_44_10, reverse_line(M42_44_10))
% 147.12/22.39
% 147.12/22.39 [6184] CLOSURE : ~left_convergent_lines(L41_44_10, M42_44_10)
% 147.12/22.39
% 147.12/22.39 [5543] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5822] ~(left_apart_point(A39_199_9, L40_199_9) | left_apart_point(A39_199_9, reverse_line(L40_199_9)))
% 147.12/22.39
% 147.12/22.39 [5822] ALPHA_NOT_OR : ~(left_apart_point(A39_199_9, L40_199_9) | left_apart_point(A39_199_9, reverse_line(L40_199_9)))
% 147.12/22.39 -> [5825] ~left_apart_point(A39_199_9, L40_199_9), ~left_apart_point(A39_199_9, reverse_line(L40_199_9))
% 147.12/22.39
% 147.12/22.39 [5825] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [6327] ~(left_convergent_lines(L41_47_10, M42_47_10) | left_convergent_lines(L41_47_10, reverse_line(M42_47_10)))
% 147.12/22.39
% 147.12/22.39 [6327] ALPHA_NOT_OR : ~(left_convergent_lines(L41_47_10, M42_47_10) | left_convergent_lines(L41_47_10, reverse_line(M42_47_10)))
% 147.12/22.39 -> [6330] ~left_convergent_lines(L41_47_10, M42_47_10), ~left_convergent_lines(L41_47_10, reverse_line(M42_47_10))
% 147.12/22.39
% 147.12/22.39 [6330] CLOSURE : ~left_convergent_lines(L41_47_10, M42_47_10)
% 147.12/22.39
% 147.12/22.39 [4976] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_26_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_26_6)))
% 147.12/22.39 -> [4979] unequally_directed_lines(skolem_N7979, N34_26_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_26_6))
% 147.12/22.39
% 147.12/22.39 [4979] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.39 -> [5067] ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 147.12/22.39
% 147.12/22.39 [5067] BETA_IMPLY : ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 147.12/22.39 -> [5068] ~(line(skolem_L7777) & line(skolem_L7777))
% 147.12/22.39 -> [5069] (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 147.12/22.39
% 147.12/22.39 [5068] BETA_NOT_AND : ~(line(skolem_L7777) & line(skolem_L7777))
% 147.12/22.39 -> [5085] ~line(skolem_L7777)
% 147.12/22.39 -> [5086] ~line(skolem_L7777)
% 147.12/22.39
% 147.12/22.39 [5085] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [5168] ((unequally_directed_lines(skolem_N7979, M38_82_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_82_8))) => (left_convergent_lines(skolem_N7979, M38_82_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_82_8))))
% 147.12/22.39
% 147.12/22.39 [5168] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_82_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_82_8))) => (left_convergent_lines(skolem_N7979, M38_82_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_82_8))))
% 147.12/22.39 -> [5169] ~(unequally_directed_lines(skolem_N7979, M38_82_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_82_8)))
% 147.12/22.39 -> [5170] (left_convergent_lines(skolem_N7979, M38_82_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_82_8)))
% 147.12/22.39
% 147.12/22.39 [5169] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_82_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_82_8)))
% 147.12/22.39 -> [5185] ~unequally_directed_lines(skolem_N7979, M38_82_8)
% 147.12/22.39 -> [5186] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_82_8))
% 147.12/22.39
% 147.12/22.39 [5185] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_82_8)
% 147.12/22.39
% 147.12/22.39 [5186] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_82_8))
% 147.12/22.39
% 147.12/22.39 [5170] BETA_OR : (left_convergent_lines(skolem_N7979, M38_82_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_82_8)))
% 147.12/22.39 -> [5174] left_convergent_lines(skolem_N7979, M38_82_8)
% 147.12/22.39 -> [5175] left_convergent_lines(skolem_N7979, reverse_line(M38_82_8))
% 147.12/22.39
% 147.12/22.39 [5174] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5408] ~(left_apart_point(A39_165_9, L40_165_9) | left_apart_point(A39_165_9, reverse_line(L40_165_9)))
% 147.12/22.39
% 147.12/22.39 [5408] ALPHA_NOT_OR : ~(left_apart_point(A39_165_9, L40_165_9) | left_apart_point(A39_165_9, reverse_line(L40_165_9)))
% 147.12/22.39 -> [5409] ~left_apart_point(A39_165_9, L40_165_9), ~left_apart_point(A39_165_9, reverse_line(L40_165_9))
% 147.12/22.39
% 147.12/22.39 [5409] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [5594] ~(left_convergent_lines(L41_32_10, M42_32_10) | left_convergent_lines(L41_32_10, reverse_line(M42_32_10)))
% 147.12/22.39
% 147.12/22.39 [5594] ALPHA_NOT_OR : ~(left_convergent_lines(L41_32_10, M42_32_10) | left_convergent_lines(L41_32_10, reverse_line(M42_32_10)))
% 147.12/22.39 -> [5595] ~left_convergent_lines(L41_32_10, M42_32_10), ~left_convergent_lines(L41_32_10, reverse_line(M42_32_10))
% 147.12/22.39
% 147.12/22.39 [5595] CLOSURE : ~left_convergent_lines(L41_32_10, M42_32_10)
% 147.12/22.39
% 147.12/22.39 [5175] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5402] ~(left_apart_point(A39_164_9, L40_164_9) | left_apart_point(A39_164_9, reverse_line(L40_164_9)))
% 147.12/22.39
% 147.12/22.39 [5402] ALPHA_NOT_OR : ~(left_apart_point(A39_164_9, L40_164_9) | left_apart_point(A39_164_9, reverse_line(L40_164_9)))
% 147.12/22.39 -> [5403] ~left_apart_point(A39_164_9, L40_164_9), ~left_apart_point(A39_164_9, reverse_line(L40_164_9))
% 147.12/22.39
% 147.12/22.39 [5403] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [5779] ~(left_convergent_lines(L41_34_10, M42_34_10) | left_convergent_lines(L41_34_10, reverse_line(M42_34_10)))
% 147.12/22.39
% 147.12/22.39 [5779] ALPHA_NOT_OR : ~(left_convergent_lines(L41_34_10, M42_34_10) | left_convergent_lines(L41_34_10, reverse_line(M42_34_10)))
% 147.12/22.39 -> [5780] ~left_convergent_lines(L41_34_10, M42_34_10), ~left_convergent_lines(L41_34_10, reverse_line(M42_34_10))
% 147.12/22.39
% 147.12/22.39 [5780] CLOSURE : ~left_convergent_lines(L41_34_10, M42_34_10)
% 147.12/22.39
% 147.12/22.39 [5086] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [5138] ((unequally_directed_lines(skolem_N7979, M38_80_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_80_8))) => (left_convergent_lines(skolem_N7979, M38_80_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_80_8))))
% 147.12/22.39
% 147.12/22.39 [5138] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_80_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_80_8))) => (left_convergent_lines(skolem_N7979, M38_80_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_80_8))))
% 147.12/22.39 -> [5139] ~(unequally_directed_lines(skolem_N7979, M38_80_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_80_8)))
% 147.12/22.39 -> [5140] (left_convergent_lines(skolem_N7979, M38_80_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_80_8)))
% 147.12/22.39
% 147.12/22.39 [5139] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_80_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_80_8)))
% 147.12/22.39 -> [5490] ~unequally_directed_lines(skolem_N7979, M38_80_8)
% 147.12/22.39 -> [5491] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_80_8))
% 147.12/22.39
% 147.12/22.39 [5491] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_80_8))
% 147.12/22.39
% 147.12/22.39 [5490] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_80_8)
% 147.12/22.39
% 147.12/22.39 [5140] BETA_OR : (left_convergent_lines(skolem_N7979, M38_80_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_80_8)))
% 147.12/22.39 -> [5457] left_convergent_lines(skolem_N7979, M38_80_8)
% 147.12/22.39 -> [5458] left_convergent_lines(skolem_N7979, reverse_line(M38_80_8))
% 147.12/22.39
% 147.12/22.39 [5458] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5647] ~(left_apart_point(A39_186_9, L40_186_9) | left_apart_point(A39_186_9, reverse_line(L40_186_9)))
% 147.12/22.39
% 147.12/22.39 [5647] ALPHA_NOT_OR : ~(left_apart_point(A39_186_9, L40_186_9) | left_apart_point(A39_186_9, reverse_line(L40_186_9)))
% 147.12/22.39 -> [5648] ~left_apart_point(A39_186_9, L40_186_9), ~left_apart_point(A39_186_9, reverse_line(L40_186_9))
% 147.12/22.39
% 147.12/22.39 [5648] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [5884] ~(left_convergent_lines(L41_37_10, M42_37_10) | left_convergent_lines(L41_37_10, reverse_line(M42_37_10)))
% 147.12/22.39
% 147.12/22.39 [5884] ALPHA_NOT_OR : ~(left_convergent_lines(L41_37_10, M42_37_10) | left_convergent_lines(L41_37_10, reverse_line(M42_37_10)))
% 147.12/22.39 -> [5886] ~left_convergent_lines(L41_37_10, M42_37_10), ~left_convergent_lines(L41_37_10, reverse_line(M42_37_10))
% 147.12/22.39
% 147.12/22.39 [5886] CLOSURE : ~left_convergent_lines(L41_37_10, M42_37_10)
% 147.12/22.39
% 147.12/22.39 [5457] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5700] ~(left_apart_point(A39_193_9, L40_193_9) | left_apart_point(A39_193_9, reverse_line(L40_193_9)))
% 147.12/22.39
% 147.12/22.39 [5700] ALPHA_NOT_OR : ~(left_apart_point(A39_193_9, L40_193_9) | left_apart_point(A39_193_9, reverse_line(L40_193_9)))
% 147.12/22.39 -> [5701] ~left_apart_point(A39_193_9, L40_193_9), ~left_apart_point(A39_193_9, reverse_line(L40_193_9))
% 147.12/22.39
% 147.12/22.39 [5701] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [6111] ~(left_convergent_lines(L41_42_10, M42_42_10) | left_convergent_lines(L41_42_10, reverse_line(M42_42_10)))
% 147.12/22.39
% 147.12/22.39 [6111] ALPHA_NOT_OR : ~(left_convergent_lines(L41_42_10, M42_42_10) | left_convergent_lines(L41_42_10, reverse_line(M42_42_10)))
% 147.12/22.39 -> [6112] ~left_convergent_lines(L41_42_10, M42_42_10), ~left_convergent_lines(L41_42_10, reverse_line(M42_42_10))
% 147.12/22.39
% 147.12/22.39 [6112] CLOSURE : ~left_convergent_lines(L41_42_10, M42_42_10)
% 147.12/22.39
% 147.12/22.39 [5069] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 147.12/22.39 -> [5071] unequally_directed_lines(skolem_L7777, skolem_L7777)
% 147.12/22.39 -> [5072] unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 147.12/22.39
% 147.12/22.39 [5071] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 147.12/22.39
% 147.12/22.39 [5072] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [5530] ((unequally_directed_lines(skolem_N7979, M38_99_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_99_8))) => (left_convergent_lines(skolem_N7979, M38_99_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_99_8))))
% 147.12/22.39
% 147.12/22.39 [5530] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_99_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_99_8))) => (left_convergent_lines(skolem_N7979, M38_99_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_99_8))))
% 147.12/22.39 -> [5537] ~(unequally_directed_lines(skolem_N7979, M38_99_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_99_8)))
% 147.12/22.39 -> [5538] (left_convergent_lines(skolem_N7979, M38_99_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_99_8)))
% 147.12/22.39
% 147.12/22.39 [5537] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_99_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_99_8)))
% 147.12/22.39 -> [5601] ~unequally_directed_lines(skolem_N7979, M38_99_8)
% 147.12/22.39 -> [5602] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_99_8))
% 147.12/22.39
% 147.12/22.39 [5602] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_99_8))
% 147.12/22.39
% 147.12/22.39 [5601] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_99_8)
% 147.12/22.39
% 147.12/22.39 [5538] BETA_OR : (left_convergent_lines(skolem_N7979, M38_99_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_99_8)))
% 147.12/22.39 -> [5541] left_convergent_lines(skolem_N7979, M38_99_8)
% 147.12/22.39 -> [5542] left_convergent_lines(skolem_N7979, reverse_line(M38_99_8))
% 147.12/22.39
% 147.12/22.39 [5541] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5978] ~(left_apart_point(A39_218_9, L40_218_9) | left_apart_point(A39_218_9, reverse_line(L40_218_9)))
% 147.12/22.39
% 147.12/22.39 [5978] ALPHA_NOT_OR : ~(left_apart_point(A39_218_9, L40_218_9) | left_apart_point(A39_218_9, reverse_line(L40_218_9)))
% 147.12/22.39 -> [5985] ~left_apart_point(A39_218_9, L40_218_9), ~left_apart_point(A39_218_9, reverse_line(L40_218_9))
% 147.12/22.39
% 147.12/22.39 [5985] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [6562] ~(left_convergent_lines(L41_52_10, M42_52_10) | left_convergent_lines(L41_52_10, reverse_line(M42_52_10)))
% 147.12/22.39
% 147.12/22.39 [6562] ALPHA_NOT_OR : ~(left_convergent_lines(L41_52_10, M42_52_10) | left_convergent_lines(L41_52_10, reverse_line(M42_52_10)))
% 147.12/22.39 -> [6567] ~left_convergent_lines(L41_52_10, M42_52_10), ~left_convergent_lines(L41_52_10, reverse_line(M42_52_10))
% 147.12/22.39
% 147.12/22.39 [6567] CLOSURE : ~left_convergent_lines(L41_52_10, M42_52_10)
% 147.12/22.39
% 147.12/22.39 [5542] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5758] ~(left_apart_point(A39_196_9, L40_196_9) | left_apart_point(A39_196_9, reverse_line(L40_196_9)))
% 147.12/22.39
% 147.12/22.39 [5758] ALPHA_NOT_OR : ~(left_apart_point(A39_196_9, L40_196_9) | left_apart_point(A39_196_9, reverse_line(L40_196_9)))
% 147.12/22.39 -> [5760] ~left_apart_point(A39_196_9, L40_196_9), ~left_apart_point(A39_196_9, reverse_line(L40_196_9))
% 147.12/22.39
% 147.12/22.39 [5760] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [6281] ~(left_convergent_lines(L41_45_10, M42_45_10) | left_convergent_lines(L41_45_10, reverse_line(M42_45_10)))
% 147.12/22.39
% 147.12/22.39 [6281] ALPHA_NOT_OR : ~(left_convergent_lines(L41_45_10, M42_45_10) | left_convergent_lines(L41_45_10, reverse_line(M42_45_10)))
% 147.12/22.39 -> [6283] ~left_convergent_lines(L41_45_10, M42_45_10), ~left_convergent_lines(L41_45_10, reverse_line(M42_45_10))
% 147.12/22.39
% 147.12/22.39 [6283] CLOSURE : ~left_convergent_lines(L41_45_10, M42_45_10)
% 147.12/22.39
% 147.12/22.39 [626] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39 -> [627] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [627] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39 -> [628] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.12/22.39 -> [629] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [629] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.39 -> [648] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [648] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.39 -> [666] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39
% 147.12/22.39 [666] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39 -> [671] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [672] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39
% 147.12/22.39 [671] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [672] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39 -> [1973] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [1974] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1974] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1973] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.39 -> [2015] ~distinct_lines(N27_35_3, N27_35_3)
% 147.12/22.39
% 147.12/22.39 [2015] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.39 -> [2021] (distinct_lines(N27_35_3, N27_35_3) => (distinct_lines(N27_35_3, N27_35_3) | distinct_lines(N27_35_3, N27_35_3)))
% 147.12/22.39
% 147.12/22.39 [2021] BETA_IMPLY : (distinct_lines(N27_35_3, N27_35_3) => (distinct_lines(N27_35_3, N27_35_3) | distinct_lines(N27_35_3, N27_35_3)))
% 147.12/22.39 -> [2022] ~distinct_lines(N27_35_3, N27_35_3)
% 147.12/22.39 -> [2023] (distinct_lines(N27_35_3, N27_35_3) | distinct_lines(N27_35_3, N27_35_3))
% 147.12/22.39
% 147.12/22.39 [2023] BETA_OR : (distinct_lines(N27_35_3, N27_35_3) | distinct_lines(N27_35_3, N27_35_3))
% 147.12/22.39 -> [2024] distinct_lines(N27_35_3, N27_35_3)
% 147.12/22.39 -> [2025] distinct_lines(N27_35_3, N27_35_3)
% 147.12/22.39
% 147.12/22.39 [2024] CLOSURE : distinct_lines(N27_35_3, N27_35_3)
% 147.12/22.39
% 147.12/22.39 [2025] CLOSURE : distinct_lines(N27_35_3, N27_35_3)
% 147.12/22.39
% 147.12/22.39 [2022] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.39 -> [2032] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [2032] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.39 -> [2087] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [2087] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 147.12/22.39 -> [2088] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.39 -> [2089] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [2088] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.39
% 147.12/22.39 [2089] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 147.12/22.39 -> [2784] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39 -> [2785] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [2784] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [2785] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.39 -> [2969] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.39
% 147.12/22.39 [2969] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.39 -> [2971] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [2972] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [2971] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [2981] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [2982] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [2982] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [2981] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39
% 147.12/22.39 [2972] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [4607] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [4608] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [4607] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [4633] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [4633] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [4608] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [4609] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [4609] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.39 -> [4671] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [4671] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [4674] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.39 -> [4675] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [4674] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.39 -> [4706] ~line(skolem_M7878)
% 147.12/22.39 -> [4707] ~line(skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [4707] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [4803] ((unequally_directed_lines(skolem_N7979, M38_59_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_59_8))) => (left_convergent_lines(skolem_N7979, M38_59_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_59_8))))
% 147.12/22.39
% 147.12/22.39 [4803] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_59_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_59_8))) => (left_convergent_lines(skolem_N7979, M38_59_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_59_8))))
% 147.12/22.39 -> [4804] ~(unequally_directed_lines(skolem_N7979, M38_59_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_59_8)))
% 147.12/22.39 -> [4805] (left_convergent_lines(skolem_N7979, M38_59_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_59_8)))
% 147.12/22.39
% 147.12/22.39 [4805] BETA_OR : (left_convergent_lines(skolem_N7979, M38_59_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_59_8)))
% 147.12/22.39 -> [4806] left_convergent_lines(skolem_N7979, M38_59_8)
% 147.12/22.39 -> [4807] left_convergent_lines(skolem_N7979, reverse_line(M38_59_8))
% 147.12/22.39
% 147.12/22.39 [4807] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5020] ~(left_apart_point(A39_120_9, L40_120_9) | left_apart_point(A39_120_9, reverse_line(L40_120_9)))
% 147.12/22.39
% 147.12/22.39 [5020] ALPHA_NOT_OR : ~(left_apart_point(A39_120_9, L40_120_9) | left_apart_point(A39_120_9, reverse_line(L40_120_9)))
% 147.12/22.39 -> [5021] ~left_apart_point(A39_120_9, L40_120_9), ~left_apart_point(A39_120_9, reverse_line(L40_120_9))
% 147.12/22.39
% 147.12/22.39 [5021] CLOSURE : ~left_apart_point(A39_120_9, L40_120_9)
% 147.12/22.39
% 147.12/22.39 [4806] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5077] ~(left_apart_point(A39_127_9, L40_127_9) | left_apart_point(A39_127_9, reverse_line(L40_127_9)))
% 147.12/22.39
% 147.12/22.39 [5077] ALPHA_NOT_OR : ~(left_apart_point(A39_127_9, L40_127_9) | left_apart_point(A39_127_9, reverse_line(L40_127_9)))
% 147.12/22.39 -> [5078] ~left_apart_point(A39_127_9, L40_127_9), ~left_apart_point(A39_127_9, reverse_line(L40_127_9))
% 147.12/22.39
% 147.12/22.39 [5078] CLOSURE : ~left_apart_point(A39_127_9, L40_127_9)
% 147.12/22.39
% 147.12/22.39 [4804] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_59_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_59_8)))
% 147.12/22.39 -> [4867] ~unequally_directed_lines(skolem_N7979, M38_59_8)
% 147.12/22.39 -> [4868] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_59_8))
% 147.12/22.39
% 147.12/22.39 [4868] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_59_8))
% 147.12/22.39
% 147.12/22.39 [4867] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_59_8)
% 147.12/22.39
% 147.12/22.39 [4706] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [4849] ((unequally_directed_lines(skolem_N7979, M38_62_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_62_8))) => (left_convergent_lines(skolem_N7979, M38_62_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_62_8))))
% 147.12/22.39
% 147.12/22.39 [4849] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_62_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_62_8))) => (left_convergent_lines(skolem_N7979, M38_62_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_62_8))))
% 147.12/22.39 -> [4852] ~(unequally_directed_lines(skolem_N7979, M38_62_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_62_8)))
% 147.12/22.39 -> [4853] (left_convergent_lines(skolem_N7979, M38_62_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_62_8)))
% 147.12/22.39
% 147.12/22.39 [4853] BETA_OR : (left_convergent_lines(skolem_N7979, M38_62_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_62_8)))
% 147.12/22.39 -> [4858] left_convergent_lines(skolem_N7979, M38_62_8)
% 147.12/22.39 -> [4859] left_convergent_lines(skolem_N7979, reverse_line(M38_62_8))
% 147.12/22.39
% 147.12/22.39 [4858] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5112] ~(left_apart_point(A39_132_9, L40_132_9) | left_apart_point(A39_132_9, reverse_line(L40_132_9)))
% 147.12/22.39
% 147.12/22.39 [5112] ALPHA_NOT_OR : ~(left_apart_point(A39_132_9, L40_132_9) | left_apart_point(A39_132_9, reverse_line(L40_132_9)))
% 147.12/22.39 -> [5115] ~left_apart_point(A39_132_9, L40_132_9), ~left_apart_point(A39_132_9, reverse_line(L40_132_9))
% 147.12/22.39
% 147.12/22.39 [5115] CLOSURE : ~left_apart_point(A39_132_9, L40_132_9)
% 147.12/22.39
% 147.12/22.39 [4859] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5121] ~(left_apart_point(A39_134_9, L40_134_9) | left_apart_point(A39_134_9, reverse_line(L40_134_9)))
% 147.12/22.39
% 147.12/22.39 [5121] ALPHA_NOT_OR : ~(left_apart_point(A39_134_9, L40_134_9) | left_apart_point(A39_134_9, reverse_line(L40_134_9)))
% 147.12/22.39 -> [5122] ~left_apart_point(A39_134_9, L40_134_9), ~left_apart_point(A39_134_9, reverse_line(L40_134_9))
% 147.12/22.39
% 147.12/22.39 [5122] CLOSURE : ~left_apart_point(A39_134_9, L40_134_9)
% 147.12/22.39
% 147.12/22.39 [4852] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_62_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_62_8)))
% 147.12/22.39 -> [4902] ~unequally_directed_lines(skolem_N7979, M38_62_8)
% 147.12/22.39 -> [4903] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_62_8))
% 147.12/22.39
% 147.12/22.39 [4903] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_62_8))
% 147.12/22.39
% 147.12/22.39 [4902] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_62_8)
% 147.12/22.39
% 147.12/22.39 [4675] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [4680] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39 -> [4681] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [4680] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [4681] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [4860] ((unequally_directed_lines(skolem_N7979, M38_64_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_64_8))) => (left_convergent_lines(skolem_N7979, M38_64_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_64_8))))
% 147.12/22.39
% 147.12/22.39 [4860] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_64_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_64_8))) => (left_convergent_lines(skolem_N7979, M38_64_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_64_8))))
% 147.12/22.39 -> [4865] ~(unequally_directed_lines(skolem_N7979, M38_64_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_64_8)))
% 147.12/22.39 -> [4866] (left_convergent_lines(skolem_N7979, M38_64_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_64_8)))
% 147.12/22.39
% 147.12/22.39 [4866] BETA_OR : (left_convergent_lines(skolem_N7979, M38_64_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_64_8)))
% 147.12/22.39 -> [4869] left_convergent_lines(skolem_N7979, M38_64_8)
% 147.12/22.39 -> [4870] left_convergent_lines(skolem_N7979, reverse_line(M38_64_8))
% 147.12/22.39
% 147.12/22.39 [4870] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5063] ~(left_apart_point(A39_125_9, L40_125_9) | left_apart_point(A39_125_9, reverse_line(L40_125_9)))
% 147.12/22.39
% 147.12/22.39 [5063] ALPHA_NOT_OR : ~(left_apart_point(A39_125_9, L40_125_9) | left_apart_point(A39_125_9, reverse_line(L40_125_9)))
% 147.12/22.39 -> [5064] ~left_apart_point(A39_125_9, L40_125_9), ~left_apart_point(A39_125_9, reverse_line(L40_125_9))
% 147.12/22.39
% 147.12/22.39 [5064] CLOSURE : ~left_apart_point(A39_125_9, L40_125_9)
% 147.12/22.39
% 147.12/22.39 [4869] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [5132] ~(left_apart_point(A39_135_9, L40_135_9) | left_apart_point(A39_135_9, reverse_line(L40_135_9)))
% 147.12/22.39
% 147.12/22.39 [5132] ALPHA_NOT_OR : ~(left_apart_point(A39_135_9, L40_135_9) | left_apart_point(A39_135_9, reverse_line(L40_135_9)))
% 147.12/22.39 -> [5133] ~left_apart_point(A39_135_9, L40_135_9), ~left_apart_point(A39_135_9, reverse_line(L40_135_9))
% 147.12/22.39
% 147.12/22.39 [5133] CLOSURE : ~left_apart_point(A39_135_9, L40_135_9)
% 147.12/22.39
% 147.12/22.39 [4865] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_64_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_64_8)))
% 147.12/22.39 -> [4912] ~unequally_directed_lines(skolem_N7979, M38_64_8)
% 147.12/22.39 -> [4913] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_64_8))
% 147.12/22.39
% 147.12/22.39 [4913] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_64_8))
% 147.12/22.39
% 147.12/22.39 [4912] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_64_8)
% 147.12/22.39
% 147.12/22.39 [628] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.39 -> [649] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [649] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.39 -> [668] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39
% 147.12/22.39 [668] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39 -> [673] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [674] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39
% 147.12/22.39 [673] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [674] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39 -> [1769] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [1770] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1770] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1769] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.39 -> [2973] ~distinct_lines(N27_91_3, N27_91_3)
% 147.12/22.39
% 147.12/22.39 [2973] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.39 -> [3027] (distinct_lines(N27_91_3, N27_91_3) => (distinct_lines(N27_91_3, N27_91_3) | distinct_lines(N27_91_3, N27_91_3)))
% 147.12/22.39
% 147.12/22.39 [3027] BETA_IMPLY : (distinct_lines(N27_91_3, N27_91_3) => (distinct_lines(N27_91_3, N27_91_3) | distinct_lines(N27_91_3, N27_91_3)))
% 147.12/22.39 -> [3057] ~distinct_lines(N27_91_3, N27_91_3)
% 147.12/22.39 -> [3058] (distinct_lines(N27_91_3, N27_91_3) | distinct_lines(N27_91_3, N27_91_3))
% 147.12/22.39
% 147.12/22.39 [3058] BETA_OR : (distinct_lines(N27_91_3, N27_91_3) | distinct_lines(N27_91_3, N27_91_3))
% 147.12/22.39 -> [3059] distinct_lines(N27_91_3, N27_91_3)
% 147.12/22.39 -> [3060] distinct_lines(N27_91_3, N27_91_3)
% 147.12/22.39
% 147.12/22.39 [3059] CLOSURE : distinct_lines(N27_91_3, N27_91_3)
% 147.12/22.39
% 147.12/22.39 [3060] CLOSURE : distinct_lines(N27_91_3, N27_91_3)
% 147.12/22.39
% 147.12/22.39 [3057] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.39 -> [3110] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [3110] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.39 -> [3303] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [3303] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 147.12/22.39 -> [3306] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.39 -> [3307] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [3306] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.12/22.39
% 147.12/22.39 [3307] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 147.12/22.39 -> [6861] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39 -> [6862] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [6861] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [6862] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.39 -> [8868] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.39
% 147.12/22.39 [8868] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.39 -> [9023] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [9024] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [9023] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [9036] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [9037] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [9037] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [9036] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39
% 147.12/22.39 [9024] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [11040] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [11041] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [11040] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [11076] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [11076] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [11041] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [11044] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [11044] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.39 -> [11397] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [11397] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [11398] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.39 -> [11399] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [11399] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [11402] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39 -> [11403] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [11402] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [11403] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [11658] ((unequally_directed_lines(skolem_N7979, M38_466_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_466_8))) => (left_convergent_lines(skolem_N7979, M38_466_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_466_8))))
% 147.12/22.39
% 147.12/22.39 [11658] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_466_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_466_8))) => (left_convergent_lines(skolem_N7979, M38_466_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_466_8))))
% 147.12/22.39 -> [11661] ~(unequally_directed_lines(skolem_N7979, M38_466_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_466_8)))
% 147.12/22.39 -> [11662] (left_convergent_lines(skolem_N7979, M38_466_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_466_8)))
% 147.12/22.39
% 147.12/22.39 [11662] BETA_OR : (left_convergent_lines(skolem_N7979, M38_466_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_466_8)))
% 147.12/22.39 -> [11668] left_convergent_lines(skolem_N7979, M38_466_8)
% 147.12/22.39 -> [11669] left_convergent_lines(skolem_N7979, reverse_line(M38_466_8))
% 147.12/22.39
% 147.12/22.39 [11668] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [11943] ~(left_apart_point(A39_925_9, L40_925_9) | left_apart_point(A39_925_9, reverse_line(L40_925_9)))
% 147.12/22.39
% 147.12/22.39 [11943] ALPHA_NOT_OR : ~(left_apart_point(A39_925_9, L40_925_9) | left_apart_point(A39_925_9, reverse_line(L40_925_9)))
% 147.12/22.39 -> [11945] ~left_apart_point(A39_925_9, L40_925_9), ~left_apart_point(A39_925_9, reverse_line(L40_925_9))
% 147.12/22.39
% 147.12/22.39 [11945] CLOSURE : ~left_apart_point(A39_925_9, L40_925_9)
% 147.12/22.39
% 147.12/22.39 [11669] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [11950] ~(left_apart_point(A39_927_9, L40_927_9) | left_apart_point(A39_927_9, reverse_line(L40_927_9)))
% 147.12/22.39
% 147.12/22.39 [11950] ALPHA_NOT_OR : ~(left_apart_point(A39_927_9, L40_927_9) | left_apart_point(A39_927_9, reverse_line(L40_927_9)))
% 147.12/22.39 -> [11953] ~left_apart_point(A39_927_9, L40_927_9), ~left_apart_point(A39_927_9, reverse_line(L40_927_9))
% 147.12/22.39
% 147.12/22.39 [11953] CLOSURE : ~left_apart_point(A39_927_9, L40_927_9)
% 147.12/22.39
% 147.12/22.39 [11661] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_466_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_466_8)))
% 147.12/22.39 -> [11733] ~unequally_directed_lines(skolem_N7979, M38_466_8)
% 147.12/22.39 -> [11734] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_466_8))
% 147.12/22.39
% 147.12/22.39 [11734] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_466_8))
% 147.12/22.39
% 147.12/22.39 [11733] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_466_8)
% 147.12/22.39
% 147.12/22.39 [11398] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.39 -> [11457] ~line(skolem_M7878)
% 147.12/22.39 -> [11458] ~line(skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [11457] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [11683] ((unequally_directed_lines(skolem_N7979, M38_469_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_469_8))) => (left_convergent_lines(skolem_N7979, M38_469_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_469_8))))
% 147.12/22.39
% 147.12/22.39 [11683] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_469_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_469_8))) => (left_convergent_lines(skolem_N7979, M38_469_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_469_8))))
% 147.12/22.39 -> [11686] ~(unequally_directed_lines(skolem_N7979, M38_469_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_469_8)))
% 147.12/22.39 -> [11687] (left_convergent_lines(skolem_N7979, M38_469_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_469_8)))
% 147.12/22.39
% 147.12/22.39 [11686] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_469_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_469_8)))
% 147.12/22.39 -> [11774] ~unequally_directed_lines(skolem_N7979, M38_469_8)
% 147.12/22.39 -> [11775] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_469_8))
% 147.12/22.39
% 147.12/22.39 [11775] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_469_8))
% 147.12/22.39
% 147.12/22.39 [11774] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_469_8)
% 147.12/22.39
% 147.12/22.39 [11687] BETA_OR : (left_convergent_lines(skolem_N7979, M38_469_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_469_8)))
% 147.12/22.39 -> [11691] left_convergent_lines(skolem_N7979, M38_469_8)
% 147.12/22.39 -> [11692] left_convergent_lines(skolem_N7979, reverse_line(M38_469_8))
% 147.12/22.39
% 147.12/22.39 [11691] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [11966] ~(left_apart_point(A39_932_9, L40_932_9) | left_apart_point(A39_932_9, reverse_line(L40_932_9)))
% 147.12/22.39
% 147.12/22.39 [11966] ALPHA_NOT_OR : ~(left_apart_point(A39_932_9, L40_932_9) | left_apart_point(A39_932_9, reverse_line(L40_932_9)))
% 147.12/22.39 -> [11970] ~left_apart_point(A39_932_9, L40_932_9), ~left_apart_point(A39_932_9, reverse_line(L40_932_9))
% 147.12/22.39
% 147.12/22.39 [11970] CLOSURE : ~left_apart_point(A39_932_9, L40_932_9)
% 147.12/22.39
% 147.12/22.39 [11692] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [11995] ~(left_apart_point(A39_936_9, L40_936_9) | left_apart_point(A39_936_9, reverse_line(L40_936_9)))
% 147.12/22.39
% 147.12/22.39 [11995] ALPHA_NOT_OR : ~(left_apart_point(A39_936_9, L40_936_9) | left_apart_point(A39_936_9, reverse_line(L40_936_9)))
% 147.12/22.39 -> [11996] ~left_apart_point(A39_936_9, L40_936_9), ~left_apart_point(A39_936_9, reverse_line(L40_936_9))
% 147.12/22.39
% 147.12/22.39 [11996] CLOSURE : ~left_apart_point(A39_936_9, L40_936_9)
% 147.12/22.39
% 147.12/22.39 [11458] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [11700] ((unequally_directed_lines(skolem_N7979, M38_472_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_472_8))) => (left_convergent_lines(skolem_N7979, M38_472_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_472_8))))
% 147.12/22.39
% 147.12/22.39 [11700] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_472_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_472_8))) => (left_convergent_lines(skolem_N7979, M38_472_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_472_8))))
% 147.12/22.39 -> [11703] ~(unequally_directed_lines(skolem_N7979, M38_472_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_472_8)))
% 147.12/22.39 -> [11704] (left_convergent_lines(skolem_N7979, M38_472_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_472_8)))
% 147.12/22.39
% 147.12/22.39 [11703] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_472_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_472_8)))
% 147.12/22.39 -> [11787] ~unequally_directed_lines(skolem_N7979, M38_472_8)
% 147.12/22.39 -> [11788] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_472_8))
% 147.12/22.39
% 147.12/22.39 [11787] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_472_8)
% 147.12/22.39
% 147.12/22.39 [11788] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_472_8))
% 147.12/22.39
% 147.12/22.39 [11704] BETA_OR : (left_convergent_lines(skolem_N7979, M38_472_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_472_8)))
% 147.12/22.39 -> [11712] left_convergent_lines(skolem_N7979, M38_472_8)
% 147.12/22.39 -> [11713] left_convergent_lines(skolem_N7979, reverse_line(M38_472_8))
% 147.12/22.39
% 147.12/22.39 [11713] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [11980] ~(left_apart_point(A39_934_9, L40_934_9) | left_apart_point(A39_934_9, reverse_line(L40_934_9)))
% 147.12/22.39
% 147.12/22.39 [11980] ALPHA_NOT_OR : ~(left_apart_point(A39_934_9, L40_934_9) | left_apart_point(A39_934_9, reverse_line(L40_934_9)))
% 147.12/22.39 -> [11981] ~left_apart_point(A39_934_9, L40_934_9), ~left_apart_point(A39_934_9, reverse_line(L40_934_9))
% 147.12/22.39
% 147.12/22.39 [11981] CLOSURE : ~left_apart_point(A39_934_9, L40_934_9)
% 147.12/22.39
% 147.12/22.39 [11712] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [12123] ~(left_apart_point(A39_959_9, L40_959_9) | left_apart_point(A39_959_9, reverse_line(L40_959_9)))
% 147.12/22.39
% 147.12/22.39 [12123] ALPHA_NOT_OR : ~(left_apart_point(A39_959_9, L40_959_9) | left_apart_point(A39_959_9, reverse_line(L40_959_9)))
% 147.12/22.39 -> [12125] ~left_apart_point(A39_959_9, L40_959_9), ~left_apart_point(A39_959_9, reverse_line(L40_959_9))
% 147.12/22.39
% 147.12/22.39 [12125] CLOSURE : ~left_apart_point(A39_959_9, L40_959_9)
% 147.12/22.39
% 147.12/22.39 [154] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39 -> [169] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [170] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [170] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39 -> [183] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [183] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.12/22.39 -> [950] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [951] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [950] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [957] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.12/22.39 -> [958] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [958] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [965] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [965] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [966] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.39 -> [967] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [966] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [967] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [957] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.39 -> [1138] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1138] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.39 -> [1542] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39
% 147.12/22.39 [1542] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39 -> [1545] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [1546] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39
% 147.12/22.39 [1545] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1546] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39 -> [2353] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [2354] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [2354] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [2353] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.39 -> [3075] ~distinct_lines(N27_96_3, N27_96_3)
% 147.12/22.39
% 147.12/22.39 [3075] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.39 -> [3150] (distinct_lines(N27_96_3, N27_96_3) => (distinct_lines(N27_96_3, N27_96_3) | distinct_lines(N27_96_3, N27_96_3)))
% 147.12/22.39
% 147.12/22.39 [3150] BETA_IMPLY : (distinct_lines(N27_96_3, N27_96_3) => (distinct_lines(N27_96_3, N27_96_3) | distinct_lines(N27_96_3, N27_96_3)))
% 147.12/22.39 -> [3151] ~distinct_lines(N27_96_3, N27_96_3)
% 147.12/22.39 -> [3152] (distinct_lines(N27_96_3, N27_96_3) | distinct_lines(N27_96_3, N27_96_3))
% 147.12/22.39
% 147.12/22.39 [3152] BETA_OR : (distinct_lines(N27_96_3, N27_96_3) | distinct_lines(N27_96_3, N27_96_3))
% 147.12/22.39 -> [3153] distinct_lines(N27_96_3, N27_96_3)
% 147.12/22.39 -> [3154] distinct_lines(N27_96_3, N27_96_3)
% 147.12/22.39
% 147.12/22.39 [3153] CLOSURE : distinct_lines(N27_96_3, N27_96_3)
% 147.12/22.39
% 147.12/22.39 [3154] CLOSURE : distinct_lines(N27_96_3, N27_96_3)
% 147.12/22.39
% 147.12/22.39 [3151] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.39 -> [3198] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [3198] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.39 -> [3292] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [3292] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878)))
% 147.12/22.39 -> [3293] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39 -> [3294] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [3293] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [3294] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878))
% 147.12/22.39 -> [5101] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39 -> [5102] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [5101] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [5102] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.39 -> [7468] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.39
% 147.12/22.39 [7468] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.39 -> [7471] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [7472] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [7471] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [7496] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [7497] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [7497] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [7496] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39
% 147.12/22.39 [7472] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [9454] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [9455] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [9454] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [9472] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [9472] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [9455] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [9463] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [9463] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.39 -> [9525] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [9525] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [9526] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.39 -> [9527] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [9526] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.39 -> [9531] ~line(skolem_M7878)
% 147.12/22.39 -> [9532] ~line(skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [9531] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [9658] ((unequally_directed_lines(skolem_N7979, M38_336_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_336_8))) => (left_convergent_lines(skolem_N7979, M38_336_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_336_8))))
% 147.12/22.39
% 147.12/22.39 [9658] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_336_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_336_8))) => (left_convergent_lines(skolem_N7979, M38_336_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_336_8))))
% 147.12/22.39 -> [9660] ~(unequally_directed_lines(skolem_N7979, M38_336_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_336_8)))
% 147.12/22.39 -> [9661] (left_convergent_lines(skolem_N7979, M38_336_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_336_8)))
% 147.12/22.39
% 147.12/22.39 [9660] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_336_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_336_8)))
% 147.12/22.39 -> [9681] ~unequally_directed_lines(skolem_N7979, M38_336_8)
% 147.12/22.39 -> [9682] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_336_8))
% 147.12/22.39
% 147.12/22.39 [9682] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_336_8))
% 147.12/22.39
% 147.12/22.39 [9681] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_336_8)
% 147.12/22.39
% 147.12/22.39 [9661] BETA_OR : (left_convergent_lines(skolem_N7979, M38_336_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_336_8)))
% 147.12/22.39 -> [9664] left_convergent_lines(skolem_N7979, M38_336_8)
% 147.12/22.39 -> [9665] left_convergent_lines(skolem_N7979, reverse_line(M38_336_8))
% 147.12/22.39
% 147.12/22.39 [9664] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [9808] ~(left_apart_point(A39_664_9, L40_664_9) | left_apart_point(A39_664_9, reverse_line(L40_664_9)))
% 147.12/22.39
% 147.12/22.39 [9808] ALPHA_NOT_OR : ~(left_apart_point(A39_664_9, L40_664_9) | left_apart_point(A39_664_9, reverse_line(L40_664_9)))
% 147.12/22.39 -> [9810] ~left_apart_point(A39_664_9, L40_664_9), ~left_apart_point(A39_664_9, reverse_line(L40_664_9))
% 147.12/22.39
% 147.12/22.39 [9810] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [9957] ~(left_convergent_lines(L41_185_10, M42_185_10) | left_convergent_lines(L41_185_10, reverse_line(M42_185_10)))
% 147.12/22.39
% 147.12/22.39 [9957] ALPHA_NOT_OR : ~(left_convergent_lines(L41_185_10, M42_185_10) | left_convergent_lines(L41_185_10, reverse_line(M42_185_10)))
% 147.12/22.39 -> [9961] ~left_convergent_lines(L41_185_10, M42_185_10), ~left_convergent_lines(L41_185_10, reverse_line(M42_185_10))
% 147.12/22.39
% 147.12/22.39 [9961] CLOSURE : ~left_convergent_lines(L41_185_10, M42_185_10)
% 147.12/22.39
% 147.12/22.39 [9665] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [9795] ~(left_apart_point(A39_661_9, L40_661_9) | left_apart_point(A39_661_9, reverse_line(L40_661_9)))
% 147.12/22.39
% 147.12/22.39 [9795] ALPHA_NOT_OR : ~(left_apart_point(A39_661_9, L40_661_9) | left_apart_point(A39_661_9, reverse_line(L40_661_9)))
% 147.12/22.39 -> [9797] ~left_apart_point(A39_661_9, L40_661_9), ~left_apart_point(A39_661_9, reverse_line(L40_661_9))
% 147.12/22.39
% 147.12/22.39 [9797] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [9984] ~(left_convergent_lines(L41_186_10, M42_186_10) | left_convergent_lines(L41_186_10, reverse_line(M42_186_10)))
% 147.12/22.39
% 147.12/22.39 [9984] ALPHA_NOT_OR : ~(left_convergent_lines(L41_186_10, M42_186_10) | left_convergent_lines(L41_186_10, reverse_line(M42_186_10)))
% 147.12/22.39 -> [9989] ~left_convergent_lines(L41_186_10, M42_186_10), ~left_convergent_lines(L41_186_10, reverse_line(M42_186_10))
% 147.12/22.39
% 147.12/22.39 [9989] CLOSURE : ~left_convergent_lines(L41_186_10, M42_186_10)
% 147.12/22.39
% 147.12/22.39 [9532] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [9708] ((unequally_directed_lines(skolem_N7979, M38_339_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_339_8))) => (left_convergent_lines(skolem_N7979, M38_339_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_339_8))))
% 147.12/22.39
% 147.12/22.39 [9708] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_339_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_339_8))) => (left_convergent_lines(skolem_N7979, M38_339_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_339_8))))
% 147.12/22.39 -> [9709] ~(unequally_directed_lines(skolem_N7979, M38_339_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_339_8)))
% 147.12/22.39 -> [9710] (left_convergent_lines(skolem_N7979, M38_339_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_339_8)))
% 147.12/22.39
% 147.12/22.39 [9709] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_339_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_339_8)))
% 147.12/22.39 -> [9761] ~unequally_directed_lines(skolem_N7979, M38_339_8)
% 147.12/22.39 -> [9762] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_339_8))
% 147.12/22.39
% 147.12/22.39 [9762] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_339_8))
% 147.12/22.39
% 147.12/22.39 [9761] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_339_8)
% 147.12/22.39
% 147.12/22.39 [9710] BETA_OR : (left_convergent_lines(skolem_N7979, M38_339_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_339_8)))
% 147.12/22.39 -> [9719] left_convergent_lines(skolem_N7979, M38_339_8)
% 147.12/22.39 -> [9720] left_convergent_lines(skolem_N7979, reverse_line(M38_339_8))
% 147.12/22.39
% 147.12/22.39 [9719] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [9813] ~(left_apart_point(A39_666_9, L40_666_9) | left_apart_point(A39_666_9, reverse_line(L40_666_9)))
% 147.12/22.39
% 147.12/22.39 [9813] ALPHA_NOT_OR : ~(left_apart_point(A39_666_9, L40_666_9) | left_apart_point(A39_666_9, reverse_line(L40_666_9)))
% 147.12/22.39 -> [9815] ~left_apart_point(A39_666_9, L40_666_9), ~left_apart_point(A39_666_9, reverse_line(L40_666_9))
% 147.12/22.39
% 147.12/22.39 [9815] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [9865] ~(left_convergent_lines(L41_184_10, M42_184_10) | left_convergent_lines(L41_184_10, reverse_line(M42_184_10)))
% 147.12/22.39
% 147.12/22.39 [9865] ALPHA_NOT_OR : ~(left_convergent_lines(L41_184_10, M42_184_10) | left_convergent_lines(L41_184_10, reverse_line(M42_184_10)))
% 147.12/22.39 -> [9867] ~left_convergent_lines(L41_184_10, M42_184_10), ~left_convergent_lines(L41_184_10, reverse_line(M42_184_10))
% 147.12/22.39
% 147.12/22.39 [9867] CLOSURE : ~left_convergent_lines(L41_184_10, M42_184_10)
% 147.12/22.39
% 147.12/22.39 [9720] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [9807] ~(left_apart_point(A39_663_9, L40_663_9) | left_apart_point(A39_663_9, reverse_line(L40_663_9)))
% 147.12/22.39
% 147.12/22.39 [9807] ALPHA_NOT_OR : ~(left_apart_point(A39_663_9, L40_663_9) | left_apart_point(A39_663_9, reverse_line(L40_663_9)))
% 147.12/22.39 -> [9809] ~left_apart_point(A39_663_9, L40_663_9), ~left_apart_point(A39_663_9, reverse_line(L40_663_9))
% 147.12/22.39
% 147.12/22.39 [9809] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [9856] ~(left_convergent_lines(L41_183_10, M42_183_10) | left_convergent_lines(L41_183_10, reverse_line(M42_183_10)))
% 147.12/22.39
% 147.12/22.39 [9856] ALPHA_NOT_OR : ~(left_convergent_lines(L41_183_10, M42_183_10) | left_convergent_lines(L41_183_10, reverse_line(M42_183_10)))
% 147.12/22.39 -> [9861] ~left_convergent_lines(L41_183_10, M42_183_10), ~left_convergent_lines(L41_183_10, reverse_line(M42_183_10))
% 147.12/22.39
% 147.12/22.39 [9861] CLOSURE : ~left_convergent_lines(L41_183_10, M42_183_10)
% 147.12/22.39
% 147.12/22.39 [9527] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [9528] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39 -> [9529] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [9528] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [9529] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [9588] ((unequally_directed_lines(skolem_N7979, M38_332_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_332_8))) => (left_convergent_lines(skolem_N7979, M38_332_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_332_8))))
% 147.12/22.39
% 147.12/22.39 [9588] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_332_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_332_8))) => (left_convergent_lines(skolem_N7979, M38_332_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_332_8))))
% 147.12/22.39 -> [9591] ~(unequally_directed_lines(skolem_N7979, M38_332_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_332_8)))
% 147.12/22.39 -> [9592] (left_convergent_lines(skolem_N7979, M38_332_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_332_8)))
% 147.12/22.39
% 147.12/22.39 [9591] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_332_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_332_8)))
% 147.12/22.39 -> [9598] ~unequally_directed_lines(skolem_N7979, M38_332_8)
% 147.12/22.39 -> [9599] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_332_8))
% 147.12/22.39
% 147.12/22.39 [9599] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_332_8))
% 147.12/22.39
% 147.12/22.39 [9598] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_332_8)
% 147.12/22.39
% 147.12/22.39 [9592] BETA_OR : (left_convergent_lines(skolem_N7979, M38_332_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_332_8)))
% 147.12/22.39 -> [9595] left_convergent_lines(skolem_N7979, M38_332_8)
% 147.12/22.39 -> [9596] left_convergent_lines(skolem_N7979, reverse_line(M38_332_8))
% 147.12/22.39
% 147.12/22.39 [9595] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [9666] ~(left_apart_point(A39_641_9, L40_641_9) | left_apart_point(A39_641_9, reverse_line(L40_641_9)))
% 147.12/22.39
% 147.12/22.39 [9666] ALPHA_NOT_OR : ~(left_apart_point(A39_641_9, L40_641_9) | left_apart_point(A39_641_9, reverse_line(L40_641_9)))
% 147.12/22.39 -> [9668] ~left_apart_point(A39_641_9, L40_641_9), ~left_apart_point(A39_641_9, reverse_line(L40_641_9))
% 147.12/22.39
% 147.12/22.39 [9668] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [9847] ~(left_convergent_lines(L41_181_10, M42_181_10) | left_convergent_lines(L41_181_10, reverse_line(M42_181_10)))
% 147.12/22.39
% 147.12/22.39 [9847] ALPHA_NOT_OR : ~(left_convergent_lines(L41_181_10, M42_181_10) | left_convergent_lines(L41_181_10, reverse_line(M42_181_10)))
% 147.12/22.39 -> [9850] ~left_convergent_lines(L41_181_10, M42_181_10), ~left_convergent_lines(L41_181_10, reverse_line(M42_181_10))
% 147.12/22.39
% 147.12/22.39 [9850] CLOSURE : ~left_convergent_lines(L41_181_10, M42_181_10)
% 147.12/22.39
% 147.12/22.39 [9596] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [9644] ~(left_apart_point(A39_636_9, L40_636_9) | left_apart_point(A39_636_9, reverse_line(L40_636_9)))
% 147.12/22.39
% 147.12/22.39 [9644] ALPHA_NOT_OR : ~(left_apart_point(A39_636_9, L40_636_9) | left_apart_point(A39_636_9, reverse_line(L40_636_9)))
% 147.12/22.39 -> [9646] ~left_apart_point(A39_636_9, L40_636_9), ~left_apart_point(A39_636_9, reverse_line(L40_636_9))
% 147.12/22.39
% 147.12/22.39 [9646] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.12/22.39 -> [9851] ~(left_convergent_lines(L41_182_10, M42_182_10) | left_convergent_lines(L41_182_10, reverse_line(M42_182_10)))
% 147.12/22.39
% 147.12/22.39 [9851] ALPHA_NOT_OR : ~(left_convergent_lines(L41_182_10, M42_182_10) | left_convergent_lines(L41_182_10, reverse_line(M42_182_10)))
% 147.12/22.39 -> [9853] ~left_convergent_lines(L41_182_10, M42_182_10), ~left_convergent_lines(L41_182_10, reverse_line(M42_182_10))
% 147.12/22.39
% 147.12/22.39 [9853] CLOSURE : ~left_convergent_lines(L41_182_10, M42_182_10)
% 147.12/22.39
% 147.12/22.39 [951] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39 -> [975] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [975] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39 -> [976] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.12/22.39 -> [977] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [976] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.39 -> [1146] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1146] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.39 -> [1160] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39
% 147.12/22.39 [1160] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39 -> [1165] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [1166] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39
% 147.12/22.39 [1165] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1166] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39 -> [1254] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [1255] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1255] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1254] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.39 -> [1280] ~distinct_lines(N27_1_3, N27_1_3)
% 147.12/22.39
% 147.12/22.39 [1280] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.39 -> [1285] (distinct_lines(N27_1_3, N27_1_3) => (distinct_lines(N27_1_3, N27_1_3) | distinct_lines(N27_1_3, N27_1_3)))
% 147.12/22.39
% 147.12/22.39 [1285] BETA_IMPLY : (distinct_lines(N27_1_3, N27_1_3) => (distinct_lines(N27_1_3, N27_1_3) | distinct_lines(N27_1_3, N27_1_3)))
% 147.12/22.39 -> [1286] ~distinct_lines(N27_1_3, N27_1_3)
% 147.12/22.39 -> [1287] (distinct_lines(N27_1_3, N27_1_3) | distinct_lines(N27_1_3, N27_1_3))
% 147.12/22.39
% 147.12/22.39 [1287] BETA_OR : (distinct_lines(N27_1_3, N27_1_3) | distinct_lines(N27_1_3, N27_1_3))
% 147.12/22.39 -> [1288] distinct_lines(N27_1_3, N27_1_3)
% 147.12/22.39 -> [1289] distinct_lines(N27_1_3, N27_1_3)
% 147.12/22.39
% 147.12/22.39 [1289] CLOSURE : distinct_lines(N27_1_3, N27_1_3)
% 147.12/22.39
% 147.12/22.39 [1288] CLOSURE : distinct_lines(N27_1_3, N27_1_3)
% 147.12/22.39
% 147.12/22.39 [1286] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.39 -> [1299] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [1299] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.39 -> [1364] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.12/22.39
% 147.12/22.39 [1364] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.12/22.39 -> [1365] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39 -> [1366] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39
% 147.12/22.39 [1365] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [1366] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39 -> [2325] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39 -> [2326] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [2326] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [2325] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.39 -> [2698] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_5_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_5_6))) | (unequally_directed_lines(skolem_N7979, N34_5_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_5_6)))))
% 147.12/22.39
% 147.12/22.39 [2698] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_5_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_5_6))) | (unequally_directed_lines(skolem_N7979, N34_5_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_5_6)))))
% 147.12/22.39 -> [2703] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [2704] ((unequally_directed_lines(skolem_M7878, N34_5_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_5_6))) | (unequally_directed_lines(skolem_N7979, N34_5_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_5_6))))
% 147.12/22.39
% 147.12/22.39 [2703] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [2728] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [2729] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [2729] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [2728] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39
% 147.12/22.39 [2704] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_5_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_5_6))) | (unequally_directed_lines(skolem_N7979, N34_5_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_5_6))))
% 147.12/22.39 -> [3507] (unequally_directed_lines(skolem_M7878, N34_5_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_5_6)))
% 147.12/22.39 -> [3508] (unequally_directed_lines(skolem_N7979, N34_5_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_5_6)))
% 147.12/22.39
% 147.12/22.39 [3507] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_5_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_5_6)))
% 147.12/22.39 -> [3512] unequally_directed_lines(skolem_M7878, N34_5_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_5_6))
% 147.12/22.39
% 147.12/22.39 [3512] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.39 -> [3582] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.12/22.39
% 147.12/22.39 [3582] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.12/22.39 -> [3585] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39 -> [3586] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.12/22.39
% 147.12/22.39 [3585] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39 -> [3606] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39 -> [3607] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [3606] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [3653] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [3653] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [3654] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [3655] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [3655] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [3656] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [3657] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [3657] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [3703] ~(left_apart_point(A39_32_9, L40_32_9) | left_apart_point(A39_32_9, reverse_line(L40_32_9)))
% 147.12/22.39
% 147.12/22.39 [3703] ALPHA_NOT_OR : ~(left_apart_point(A39_32_9, L40_32_9) | left_apart_point(A39_32_9, reverse_line(L40_32_9)))
% 147.12/22.39 -> [3705] ~left_apart_point(A39_32_9, L40_32_9), ~left_apart_point(A39_32_9, reverse_line(L40_32_9))
% 147.12/22.39
% 147.12/22.39 [3705] CLOSURE : ~left_apart_point(A39_32_9, L40_32_9)
% 147.12/22.39
% 147.12/22.39 [3656] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [3712] ~(left_apart_point(A39_34_9, L40_34_9) | left_apart_point(A39_34_9, reverse_line(L40_34_9)))
% 147.12/22.39
% 147.12/22.39 [3712] ALPHA_NOT_OR : ~(left_apart_point(A39_34_9, L40_34_9) | left_apart_point(A39_34_9, reverse_line(L40_34_9)))
% 147.12/22.39 -> [3713] ~left_apart_point(A39_34_9, L40_34_9), ~left_apart_point(A39_34_9, reverse_line(L40_34_9))
% 147.12/22.39
% 147.12/22.39 [3713] CLOSURE : ~left_apart_point(A39_34_9, L40_34_9)
% 147.12/22.39
% 147.12/22.39 [3654] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [3676] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [3677] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [3677] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [3676] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [3607] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [3662] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [3662] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [3663] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [3664] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [3664] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [3666] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [3667] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [3667] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [3710] ~(left_apart_point(A39_33_9, L40_33_9) | left_apart_point(A39_33_9, reverse_line(L40_33_9)))
% 147.12/22.39
% 147.12/22.39 [3710] ALPHA_NOT_OR : ~(left_apart_point(A39_33_9, L40_33_9) | left_apart_point(A39_33_9, reverse_line(L40_33_9)))
% 147.12/22.39 -> [3711] ~left_apart_point(A39_33_9, L40_33_9), ~left_apart_point(A39_33_9, reverse_line(L40_33_9))
% 147.12/22.39
% 147.12/22.39 [3711] CLOSURE : ~left_apart_point(A39_33_9, L40_33_9)
% 147.12/22.39
% 147.12/22.39 [3666] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [3721] ~(left_apart_point(A39_35_9, L40_35_9) | left_apart_point(A39_35_9, reverse_line(L40_35_9)))
% 147.12/22.39
% 147.12/22.39 [3721] ALPHA_NOT_OR : ~(left_apart_point(A39_35_9, L40_35_9) | left_apart_point(A39_35_9, reverse_line(L40_35_9)))
% 147.12/22.39 -> [3722] ~left_apart_point(A39_35_9, L40_35_9), ~left_apart_point(A39_35_9, reverse_line(L40_35_9))
% 147.12/22.39
% 147.12/22.39 [3722] CLOSURE : ~left_apart_point(A39_35_9, L40_35_9)
% 147.12/22.39
% 147.12/22.39 [3663] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [3684] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [3685] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [3685] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [3684] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [3586] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.12/22.39 -> [3589] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39 -> [3590] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39
% 147.12/22.39 [3589] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [3590] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [3723] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [3723] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [3726] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [3727] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [3727] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [3728] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [3729] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [3729] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [3876] ~(left_apart_point(A39_41_9, L40_41_9) | left_apart_point(A39_41_9, reverse_line(L40_41_9)))
% 147.12/22.39
% 147.12/22.39 [3876] ALPHA_NOT_OR : ~(left_apart_point(A39_41_9, L40_41_9) | left_apart_point(A39_41_9, reverse_line(L40_41_9)))
% 147.12/22.39 -> [3879] ~left_apart_point(A39_41_9, L40_41_9), ~left_apart_point(A39_41_9, reverse_line(L40_41_9))
% 147.12/22.39
% 147.12/22.39 [3879] CLOSURE : ~left_apart_point(A39_41_9, L40_41_9)
% 147.12/22.39
% 147.12/22.39 [3728] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [3869] ~(left_apart_point(A39_40_9, L40_40_9) | left_apart_point(A39_40_9, reverse_line(L40_40_9)))
% 147.12/22.39
% 147.12/22.39 [3869] ALPHA_NOT_OR : ~(left_apart_point(A39_40_9, L40_40_9) | left_apart_point(A39_40_9, reverse_line(L40_40_9)))
% 147.12/22.39 -> [3870] ~left_apart_point(A39_40_9, L40_40_9), ~left_apart_point(A39_40_9, reverse_line(L40_40_9))
% 147.12/22.39
% 147.12/22.39 [3870] CLOSURE : ~left_apart_point(A39_40_9, L40_40_9)
% 147.12/22.39
% 147.12/22.39 [3726] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [3741] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [3742] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [3742] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [3741] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [3508] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_5_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_5_6)))
% 147.12/22.39 -> [3511] unequally_directed_lines(skolem_N7979, N34_5_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_5_6))
% 147.12/22.39
% 147.12/22.39 [3511] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.39 -> [3572] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.12/22.39
% 147.12/22.39 [3572] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.12/22.39 -> [3573] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39 -> [3574] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.12/22.39
% 147.12/22.39 [3574] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.12/22.39 -> [3577] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39 -> [3578] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39
% 147.12/22.39 [3577] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [3578] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [3764] ((unequally_directed_lines(skolem_N7979, M38_22_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_22_8))) => (left_convergent_lines(skolem_N7979, M38_22_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_22_8))))
% 147.12/22.39
% 147.12/22.39 [3764] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_22_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_22_8))) => (left_convergent_lines(skolem_N7979, M38_22_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_22_8))))
% 147.12/22.39 -> [3765] ~(unequally_directed_lines(skolem_N7979, M38_22_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_22_8)))
% 147.12/22.39 -> [3766] (left_convergent_lines(skolem_N7979, M38_22_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_22_8)))
% 147.12/22.39
% 147.12/22.39 [3765] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_22_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_22_8)))
% 147.12/22.39 -> [3784] ~unequally_directed_lines(skolem_N7979, M38_22_8)
% 147.12/22.39 -> [3785] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_22_8))
% 147.12/22.39
% 147.12/22.39 [3785] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_22_8))
% 147.12/22.39
% 147.12/22.39 [3784] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_22_8)
% 147.12/22.39
% 147.12/22.39 [3766] BETA_OR : (left_convergent_lines(skolem_N7979, M38_22_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_22_8)))
% 147.12/22.39 -> [3767] left_convergent_lines(skolem_N7979, M38_22_8)
% 147.12/22.39 -> [3768] left_convergent_lines(skolem_N7979, reverse_line(M38_22_8))
% 147.12/22.39
% 147.12/22.39 [3768] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [3844] ~(left_apart_point(A39_39_9, L40_39_9) | left_apart_point(A39_39_9, reverse_line(L40_39_9)))
% 147.12/22.39
% 147.12/22.39 [3844] ALPHA_NOT_OR : ~(left_apart_point(A39_39_9, L40_39_9) | left_apart_point(A39_39_9, reverse_line(L40_39_9)))
% 147.12/22.39 -> [3845] ~left_apart_point(A39_39_9, L40_39_9), ~left_apart_point(A39_39_9, reverse_line(L40_39_9))
% 147.12/22.39
% 147.12/22.39 [3845] CLOSURE : ~left_apart_point(A39_39_9, L40_39_9)
% 147.12/22.39
% 147.12/22.39 [3767] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [3944] ~(left_apart_point(A39_46_9, L40_46_9) | left_apart_point(A39_46_9, reverse_line(L40_46_9)))
% 147.12/22.39
% 147.12/22.39 [3944] ALPHA_NOT_OR : ~(left_apart_point(A39_46_9, L40_46_9) | left_apart_point(A39_46_9, reverse_line(L40_46_9)))
% 147.12/22.39 -> [3945] ~left_apart_point(A39_46_9, L40_46_9), ~left_apart_point(A39_46_9, reverse_line(L40_46_9))
% 147.12/22.39
% 147.12/22.39 [3945] CLOSURE : ~left_apart_point(A39_46_9, L40_46_9)
% 147.12/22.39
% 147.12/22.39 [3573] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39 -> [3592] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39 -> [3593] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [3592] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [4044] ((unequally_directed_lines(skolem_N7979, M38_31_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_31_8))) => (left_convergent_lines(skolem_N7979, M38_31_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_31_8))))
% 147.12/22.39
% 147.12/22.39 [4044] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_31_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_31_8))) => (left_convergent_lines(skolem_N7979, M38_31_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_31_8))))
% 147.12/22.39 -> [4046] ~(unequally_directed_lines(skolem_N7979, M38_31_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_31_8)))
% 147.12/22.39 -> [4047] (left_convergent_lines(skolem_N7979, M38_31_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_31_8)))
% 147.12/22.39
% 147.12/22.39 [4047] BETA_OR : (left_convergent_lines(skolem_N7979, M38_31_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_31_8)))
% 147.12/22.39 -> [4055] left_convergent_lines(skolem_N7979, M38_31_8)
% 147.12/22.39 -> [4056] left_convergent_lines(skolem_N7979, reverse_line(M38_31_8))
% 147.12/22.39
% 147.12/22.39 [4056] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [4198] ~(left_apart_point(A39_61_9, L40_61_9) | left_apart_point(A39_61_9, reverse_line(L40_61_9)))
% 147.12/22.39
% 147.12/22.39 [4198] ALPHA_NOT_OR : ~(left_apart_point(A39_61_9, L40_61_9) | left_apart_point(A39_61_9, reverse_line(L40_61_9)))
% 147.12/22.39 -> [4199] ~left_apart_point(A39_61_9, L40_61_9), ~left_apart_point(A39_61_9, reverse_line(L40_61_9))
% 147.12/22.39
% 147.12/22.39 [4199] CLOSURE : ~left_apart_point(A39_61_9, L40_61_9)
% 147.12/22.39
% 147.12/22.39 [4055] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [4286] ~(left_apart_point(A39_65_9, L40_65_9) | left_apart_point(A39_65_9, reverse_line(L40_65_9)))
% 147.12/22.39
% 147.12/22.39 [4286] ALPHA_NOT_OR : ~(left_apart_point(A39_65_9, L40_65_9) | left_apart_point(A39_65_9, reverse_line(L40_65_9)))
% 147.12/22.39 -> [4289] ~left_apart_point(A39_65_9, L40_65_9), ~left_apart_point(A39_65_9, reverse_line(L40_65_9))
% 147.12/22.39
% 147.12/22.39 [4289] CLOSURE : ~left_apart_point(A39_65_9, L40_65_9)
% 147.12/22.39
% 147.12/22.39 [4046] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_31_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_31_8)))
% 147.12/22.39 -> [4099] ~unequally_directed_lines(skolem_N7979, M38_31_8)
% 147.12/22.39 -> [4100] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_31_8))
% 147.12/22.39
% 147.12/22.39 [4100] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_31_8))
% 147.12/22.39
% 147.12/22.39 [4099] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_31_8)
% 147.12/22.39
% 147.12/22.39 [3593] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [3645] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.39
% 147.12/22.39 [3645] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.39 -> [3646] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [3647] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39
% 147.12/22.39 [3646] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [4094] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [4095] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [4095] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [4094] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39
% 147.12/22.39 [3647] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [3650] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [3651] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [3650] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [4182] ~(left_apart_point(A39_60_9, L40_60_9) | left_apart_point(A39_60_9, reverse_line(L40_60_9)))
% 147.12/22.39
% 147.12/22.39 [4182] ALPHA_NOT_OR : ~(left_apart_point(A39_60_9, L40_60_9) | left_apart_point(A39_60_9, reverse_line(L40_60_9)))
% 147.12/22.39 -> [4183] ~left_apart_point(A39_60_9, L40_60_9), ~left_apart_point(A39_60_9, reverse_line(L40_60_9))
% 147.12/22.39
% 147.12/22.39 [4183] CLOSURE : ~left_apart_point(A39_60_9, L40_60_9)
% 147.12/22.39
% 147.12/22.39 [3651] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [4368] ~(left_apart_point(A39_74_9, L40_74_9) | left_apart_point(A39_74_9, reverse_line(L40_74_9)))
% 147.12/22.39
% 147.12/22.39 [4368] ALPHA_NOT_OR : ~(left_apart_point(A39_74_9, L40_74_9) | left_apart_point(A39_74_9, reverse_line(L40_74_9)))
% 147.12/22.39 -> [4369] ~left_apart_point(A39_74_9, L40_74_9), ~left_apart_point(A39_74_9, reverse_line(L40_74_9))
% 147.12/22.39
% 147.12/22.39 [4369] CLOSURE : ~left_apart_point(A39_74_9, L40_74_9)
% 147.12/22.39
% 147.12/22.39 [977] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.39 -> [1020] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1020] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.39 -> [1155] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39
% 147.12/22.39 [1155] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39 -> [1156] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [1157] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39
% 147.12/22.39 [1156] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1157] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39 -> [1216] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [1217] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1217] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1216] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.39 -> [1768] ~distinct_lines(M26_23_3, M26_23_3)
% 147.12/22.39
% 147.12/22.39 [1768] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.39 -> [1783] (distinct_lines(M26_23_3, M26_23_3) => (distinct_lines(M26_23_3, M26_23_3) | distinct_lines(M26_23_3, M26_23_3)))
% 147.12/22.39
% 147.12/22.39 [1783] BETA_IMPLY : (distinct_lines(M26_23_3, M26_23_3) => (distinct_lines(M26_23_3, M26_23_3) | distinct_lines(M26_23_3, M26_23_3)))
% 147.12/22.39 -> [1784] ~distinct_lines(M26_23_3, M26_23_3)
% 147.12/22.39 -> [1785] (distinct_lines(M26_23_3, M26_23_3) | distinct_lines(M26_23_3, M26_23_3))
% 147.12/22.39
% 147.12/22.39 [1785] BETA_OR : (distinct_lines(M26_23_3, M26_23_3) | distinct_lines(M26_23_3, M26_23_3))
% 147.12/22.39 -> [1786] distinct_lines(M26_23_3, M26_23_3)
% 147.12/22.39 -> [1787] distinct_lines(M26_23_3, M26_23_3)
% 147.12/22.39
% 147.12/22.39 [1786] CLOSURE : distinct_lines(M26_23_3, M26_23_3)
% 147.12/22.39
% 147.12/22.39 [1787] CLOSURE : distinct_lines(M26_23_3, M26_23_3)
% 147.12/22.39
% 147.12/22.39 [1784] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.39 -> [1812] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [1812] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.39 -> [1838] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.12/22.39
% 147.12/22.39 [1838] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.12/22.39 -> [1839] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39 -> [1840] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39
% 147.12/22.39 [1839] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [1840] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39 -> [4552] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39 -> [4553] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [4553] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [4552] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.39 -> [5727] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_76_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_76_6))) | (unequally_directed_lines(skolem_N7979, N34_76_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_76_6)))))
% 147.12/22.39
% 147.12/22.39 [5727] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_76_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_76_6))) | (unequally_directed_lines(skolem_N7979, N34_76_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_76_6)))))
% 147.12/22.39 -> [5728] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [5729] ((unequally_directed_lines(skolem_M7878, N34_76_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_76_6))) | (unequally_directed_lines(skolem_N7979, N34_76_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_76_6))))
% 147.12/22.39
% 147.12/22.39 [5728] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [5754] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [5755] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [5755] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [5754] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39
% 147.12/22.39 [5729] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_76_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_76_6))) | (unequally_directed_lines(skolem_N7979, N34_76_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_76_6))))
% 147.12/22.39 -> [9857] (unequally_directed_lines(skolem_M7878, N34_76_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_76_6)))
% 147.12/22.39 -> [9858] (unequally_directed_lines(skolem_N7979, N34_76_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_76_6)))
% 147.12/22.39
% 147.12/22.39 [9857] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_76_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_76_6)))
% 147.12/22.39 -> [10076] unequally_directed_lines(skolem_M7878, N34_76_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_76_6))
% 147.12/22.39
% 147.12/22.39 [10076] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.39 -> [10107] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.12/22.39
% 147.12/22.39 [10107] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.12/22.39 -> [10111] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39 -> [10112] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.12/22.39
% 147.12/22.39 [10111] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39 -> [10128] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39 -> [10129] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [10128] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [10172] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [10172] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [10176] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [10177] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [10177] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [10184] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [10185] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [10184] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [10592] ~(left_apart_point(A39_766_9, L40_766_9) | left_apart_point(A39_766_9, reverse_line(L40_766_9)))
% 147.12/22.39
% 147.12/22.39 [10592] ALPHA_NOT_OR : ~(left_apart_point(A39_766_9, L40_766_9) | left_apart_point(A39_766_9, reverse_line(L40_766_9)))
% 147.12/22.39 -> [10595] ~left_apart_point(A39_766_9, L40_766_9), ~left_apart_point(A39_766_9, reverse_line(L40_766_9))
% 147.12/22.39
% 147.12/22.39 [10595] CLOSURE : ~left_apart_point(A39_766_9, L40_766_9)
% 147.12/22.39
% 147.12/22.39 [10185] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [10632] ~(left_apart_point(A39_768_9, L40_768_9) | left_apart_point(A39_768_9, reverse_line(L40_768_9)))
% 147.12/22.39
% 147.12/22.39 [10632] ALPHA_NOT_OR : ~(left_apart_point(A39_768_9, L40_768_9) | left_apart_point(A39_768_9, reverse_line(L40_768_9)))
% 147.12/22.39 -> [10636] ~left_apart_point(A39_768_9, L40_768_9), ~left_apart_point(A39_768_9, reverse_line(L40_768_9))
% 147.12/22.39
% 147.12/22.39 [10636] CLOSURE : ~left_apart_point(A39_768_9, L40_768_9)
% 147.12/22.39
% 147.12/22.39 [10176] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [10230] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [10231] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [10231] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [10230] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [10129] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [10195] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [10195] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [10200] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [10201] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [10201] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [10210] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [10211] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [10210] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [10864] ~(left_apart_point(A39_792_9, L40_792_9) | left_apart_point(A39_792_9, reverse_line(L40_792_9)))
% 147.12/22.39
% 147.12/22.39 [10864] ALPHA_NOT_OR : ~(left_apart_point(A39_792_9, L40_792_9) | left_apart_point(A39_792_9, reverse_line(L40_792_9)))
% 147.12/22.39 -> [10869] ~left_apart_point(A39_792_9, L40_792_9), ~left_apart_point(A39_792_9, reverse_line(L40_792_9))
% 147.12/22.39
% 147.12/22.39 [10869] CLOSURE : ~left_apart_point(A39_792_9, L40_792_9)
% 147.12/22.39
% 147.12/22.39 [10211] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [10888] ~(left_apart_point(A39_795_9, L40_795_9) | left_apart_point(A39_795_9, reverse_line(L40_795_9)))
% 147.12/22.39
% 147.12/22.39 [10888] ALPHA_NOT_OR : ~(left_apart_point(A39_795_9, L40_795_9) | left_apart_point(A39_795_9, reverse_line(L40_795_9)))
% 147.12/22.39 -> [10890] ~left_apart_point(A39_795_9, L40_795_9), ~left_apart_point(A39_795_9, reverse_line(L40_795_9))
% 147.12/22.39
% 147.12/22.39 [10890] CLOSURE : ~left_apart_point(A39_795_9, L40_795_9)
% 147.12/22.39
% 147.12/22.39 [10200] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [10238] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [10239] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [10239] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [10238] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [10112] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.12/22.39 -> [10118] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39 -> [10119] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39
% 147.12/22.39 [10118] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [10119] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [10161] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [10161] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [10162] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [10163] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [10162] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [10218] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [10219] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [10219] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [10218] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [10163] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [10167] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.39 -> [10168] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [10168] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [10361] ~(left_apart_point(A39_725_9, L40_725_9) | left_apart_point(A39_725_9, reverse_line(L40_725_9)))
% 147.12/22.39
% 147.12/22.39 [10361] ALPHA_NOT_OR : ~(left_apart_point(A39_725_9, L40_725_9) | left_apart_point(A39_725_9, reverse_line(L40_725_9)))
% 147.12/22.39 -> [10362] ~left_apart_point(A39_725_9, L40_725_9), ~left_apart_point(A39_725_9, reverse_line(L40_725_9))
% 147.12/22.39
% 147.12/22.39 [10362] CLOSURE : ~left_apart_point(A39_725_9, L40_725_9)
% 147.12/22.39
% 147.12/22.39 [10167] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [10490] ~(left_apart_point(A39_749_9, L40_749_9) | left_apart_point(A39_749_9, reverse_line(L40_749_9)))
% 147.12/22.39
% 147.12/22.39 [10490] ALPHA_NOT_OR : ~(left_apart_point(A39_749_9, L40_749_9) | left_apart_point(A39_749_9, reverse_line(L40_749_9)))
% 147.12/22.39 -> [10491] ~left_apart_point(A39_749_9, L40_749_9), ~left_apart_point(A39_749_9, reverse_line(L40_749_9))
% 147.12/22.39
% 147.12/22.39 [10491] CLOSURE : ~left_apart_point(A39_749_9, L40_749_9)
% 147.12/22.39
% 147.12/22.39 [9858] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_76_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_76_6)))
% 147.12/22.39 -> [9862] unequally_directed_lines(skolem_N7979, N34_76_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_76_6))
% 147.12/22.39
% 147.12/22.39 [9862] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.39 -> [9884] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.12/22.39
% 147.12/22.39 [9884] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.12/22.39 -> [9890] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39 -> [9891] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.12/22.39
% 147.12/22.39 [9891] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.12/22.39 -> [9893] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39 -> [9894] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39
% 147.12/22.39 [9893] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [9894] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [10004] ((unequally_directed_lines(skolem_N7979, M38_360_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_360_8))) => (left_convergent_lines(skolem_N7979, M38_360_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_360_8))))
% 147.12/22.39
% 147.12/22.39 [10004] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_360_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_360_8))) => (left_convergent_lines(skolem_N7979, M38_360_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_360_8))))
% 147.12/22.39 -> [10005] ~(unequally_directed_lines(skolem_N7979, M38_360_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_360_8)))
% 147.12/22.39 -> [10006] (left_convergent_lines(skolem_N7979, M38_360_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_360_8)))
% 147.12/22.39
% 147.12/22.39 [10006] BETA_OR : (left_convergent_lines(skolem_N7979, M38_360_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_360_8)))
% 147.12/22.39 -> [10016] left_convergent_lines(skolem_N7979, M38_360_8)
% 147.12/22.39 -> [10017] left_convergent_lines(skolem_N7979, reverse_line(M38_360_8))
% 147.12/22.39
% 147.12/22.39 [10017] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [10056] ~(left_apart_point(A39_694_9, L40_694_9) | left_apart_point(A39_694_9, reverse_line(L40_694_9)))
% 147.12/22.39
% 147.12/22.39 [10056] ALPHA_NOT_OR : ~(left_apart_point(A39_694_9, L40_694_9) | left_apart_point(A39_694_9, reverse_line(L40_694_9)))
% 147.12/22.39 -> [10059] ~left_apart_point(A39_694_9, L40_694_9), ~left_apart_point(A39_694_9, reverse_line(L40_694_9))
% 147.12/22.39
% 147.12/22.39 [10059] CLOSURE : ~left_apart_point(A39_694_9, L40_694_9)
% 147.12/22.39
% 147.12/22.39 [10016] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [10066] ~(left_apart_point(A39_696_9, L40_696_9) | left_apart_point(A39_696_9, reverse_line(L40_696_9)))
% 147.12/22.39
% 147.12/22.39 [10066] ALPHA_NOT_OR : ~(left_apart_point(A39_696_9, L40_696_9) | left_apart_point(A39_696_9, reverse_line(L40_696_9)))
% 147.12/22.39 -> [10069] ~left_apart_point(A39_696_9, L40_696_9), ~left_apart_point(A39_696_9, reverse_line(L40_696_9))
% 147.12/22.39
% 147.12/22.39 [10069] CLOSURE : ~left_apart_point(A39_696_9, L40_696_9)
% 147.12/22.39
% 147.12/22.39 [10005] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_360_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_360_8)))
% 147.12/22.39 -> [10024] ~unequally_directed_lines(skolem_N7979, M38_360_8)
% 147.12/22.39 -> [10025] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_360_8))
% 147.12/22.39
% 147.12/22.39 [10025] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_360_8))
% 147.12/22.39
% 147.12/22.39 [10024] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_360_8)
% 147.12/22.39
% 147.12/22.39 [9890] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.12/22.39 -> [9898] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39 -> [9899] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.12/22.39
% 147.12/22.39 [9899] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [9918] ((unequally_directed_lines(skolem_N7979, M38_354_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_354_8))) => (left_convergent_lines(skolem_N7979, M38_354_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_354_8))))
% 147.12/22.39
% 147.12/22.39 [9918] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_354_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_354_8))) => (left_convergent_lines(skolem_N7979, M38_354_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_354_8))))
% 147.12/22.39 -> [9919] ~(unequally_directed_lines(skolem_N7979, M38_354_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_354_8)))
% 147.12/22.39 -> [9920] (left_convergent_lines(skolem_N7979, M38_354_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_354_8)))
% 147.12/22.39
% 147.12/22.39 [9919] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_354_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_354_8)))
% 147.12/22.39 -> [9950] ~unequally_directed_lines(skolem_N7979, M38_354_8)
% 147.12/22.39 -> [9951] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_354_8))
% 147.12/22.39
% 147.12/22.39 [9951] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_354_8))
% 147.12/22.39
% 147.12/22.39 [9950] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_354_8)
% 147.12/22.39
% 147.12/22.39 [9920] BETA_OR : (left_convergent_lines(skolem_N7979, M38_354_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_354_8)))
% 147.12/22.39 -> [9925] left_convergent_lines(skolem_N7979, M38_354_8)
% 147.12/22.39 -> [9926] left_convergent_lines(skolem_N7979, reverse_line(M38_354_8))
% 147.12/22.39
% 147.12/22.39 [9925] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [9990] ~(left_apart_point(A39_681_9, L40_681_9) | left_apart_point(A39_681_9, reverse_line(L40_681_9)))
% 147.12/22.39
% 147.12/22.39 [9990] ALPHA_NOT_OR : ~(left_apart_point(A39_681_9, L40_681_9) | left_apart_point(A39_681_9, reverse_line(L40_681_9)))
% 147.12/22.39 -> [9995] ~left_apart_point(A39_681_9, L40_681_9), ~left_apart_point(A39_681_9, reverse_line(L40_681_9))
% 147.12/22.39
% 147.12/22.39 [9995] CLOSURE : ~left_apart_point(A39_681_9, L40_681_9)
% 147.12/22.39
% 147.12/22.39 [9926] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [9998] ~(left_apart_point(A39_682_9, L40_682_9) | left_apart_point(A39_682_9, reverse_line(L40_682_9)))
% 147.12/22.39
% 147.12/22.39 [9998] ALPHA_NOT_OR : ~(left_apart_point(A39_682_9, L40_682_9) | left_apart_point(A39_682_9, reverse_line(L40_682_9)))
% 147.12/22.39 -> [10000] ~left_apart_point(A39_682_9, L40_682_9), ~left_apart_point(A39_682_9, reverse_line(L40_682_9))
% 147.12/22.39
% 147.12/22.39 [10000] CLOSURE : ~left_apart_point(A39_682_9, L40_682_9)
% 147.12/22.39
% 147.12/22.39 [9898] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [9933] ((unequally_directed_lines(skolem_N7979, M38_355_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_355_8))) => (left_convergent_lines(skolem_N7979, M38_355_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_355_8))))
% 147.12/22.39
% 147.12/22.39 [9933] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_355_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_355_8))) => (left_convergent_lines(skolem_N7979, M38_355_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_355_8))))
% 147.12/22.39 -> [9938] ~(unequally_directed_lines(skolem_N7979, M38_355_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_355_8)))
% 147.12/22.39 -> [9939] (left_convergent_lines(skolem_N7979, M38_355_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_355_8)))
% 147.12/22.39
% 147.12/22.39 [9939] BETA_OR : (left_convergent_lines(skolem_N7979, M38_355_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_355_8)))
% 147.12/22.39 -> [9944] left_convergent_lines(skolem_N7979, M38_355_8)
% 147.12/22.39 -> [9945] left_convergent_lines(skolem_N7979, reverse_line(M38_355_8))
% 147.12/22.39
% 147.12/22.39 [9945] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [9999] ~(left_apart_point(A39_683_9, L40_683_9) | left_apart_point(A39_683_9, reverse_line(L40_683_9)))
% 147.12/22.39
% 147.12/22.39 [9999] ALPHA_NOT_OR : ~(left_apart_point(A39_683_9, L40_683_9) | left_apart_point(A39_683_9, reverse_line(L40_683_9)))
% 147.12/22.39 -> [10144] ~left_apart_point(A39_683_9, L40_683_9), ~left_apart_point(A39_683_9, reverse_line(L40_683_9))
% 147.12/22.39
% 147.12/22.39 [10144] CLOSURE : ~left_apart_point(A39_683_9, L40_683_9)
% 147.12/22.39
% 147.12/22.39 [9944] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [10913] ~(left_apart_point(A39_801_9, L40_801_9) | left_apart_point(A39_801_9, reverse_line(L40_801_9)))
% 147.12/22.39
% 147.12/22.39 [10913] ALPHA_NOT_OR : ~(left_apart_point(A39_801_9, L40_801_9) | left_apart_point(A39_801_9, reverse_line(L40_801_9)))
% 147.12/22.39 -> [10914] ~left_apart_point(A39_801_9, L40_801_9), ~left_apart_point(A39_801_9, reverse_line(L40_801_9))
% 147.12/22.39
% 147.12/22.39 [10914] CLOSURE : ~left_apart_point(A39_801_9, L40_801_9)
% 147.12/22.39
% 147.12/22.39 [9938] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_355_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_355_8)))
% 147.12/22.39 -> [9964] ~unequally_directed_lines(skolem_N7979, M38_355_8)
% 147.12/22.39 -> [9965] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_355_8))
% 147.12/22.39
% 147.12/22.39 [9965] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_355_8))
% 147.12/22.39
% 147.12/22.39 [9964] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_355_8)
% 147.12/22.39
% 147.12/22.39 [169] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.12/22.39 -> [194] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [195] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [195] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39 -> [198] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [198] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [205] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.12/22.39 -> [206] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [206] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [212] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [212] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39 -> [215] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.12/22.39 -> [216] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [215] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [349] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.39 -> [350] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [349] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [350] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [216] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [623] left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.39 -> [624] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [624] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [623] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [205] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39 -> [226] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.12/22.39 -> [227] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [226] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.12/22.39 -> [368] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.12/22.39 -> [369] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [369] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39 -> [378] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [378] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.39 -> [384] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.12/22.39 -> [385] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [385] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.39 -> [415] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [415] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.39 -> [1099] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39
% 147.12/22.39 [1099] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.39 -> [1100] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [1101] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39
% 147.12/22.39 [1100] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [1101] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.39 -> [2271] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.39 -> [2272] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [2272] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.39
% 147.12/22.39 [2271] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.39 -> [2401] ~distinct_lines(N27_62_3, N27_62_3)
% 147.12/22.39
% 147.12/22.39 [2401] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.39 -> [2405] (distinct_lines(N27_62_3, N27_62_3) => (distinct_lines(N27_62_3, N27_62_3) | distinct_lines(N27_62_3, N27_62_3)))
% 147.12/22.39
% 147.12/22.39 [2405] BETA_IMPLY : (distinct_lines(N27_62_3, N27_62_3) => (distinct_lines(N27_62_3, N27_62_3) | distinct_lines(N27_62_3, N27_62_3)))
% 147.12/22.39 -> [2407] ~distinct_lines(N27_62_3, N27_62_3)
% 147.12/22.39 -> [2408] (distinct_lines(N27_62_3, N27_62_3) | distinct_lines(N27_62_3, N27_62_3))
% 147.12/22.39
% 147.12/22.39 [2408] BETA_OR : (distinct_lines(N27_62_3, N27_62_3) | distinct_lines(N27_62_3, N27_62_3))
% 147.12/22.39 -> [2411] distinct_lines(N27_62_3, N27_62_3)
% 147.12/22.39 -> [2412] distinct_lines(N27_62_3, N27_62_3)
% 147.12/22.39
% 147.12/22.39 [2412] CLOSURE : distinct_lines(N27_62_3, N27_62_3)
% 147.12/22.39
% 147.12/22.39 [2411] CLOSURE : distinct_lines(N27_62_3, N27_62_3)
% 147.12/22.39
% 147.12/22.39 [2407] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.39 -> [2433] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [2433] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.39 -> [2441] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [2441] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.12/22.39 -> [2442] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39 -> [2443] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [2442] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [2443] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.12/22.39 -> [2502] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39 -> [2503] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [2502] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [2503] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.39 -> [2620] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.39
% 147.12/22.39 [2620] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.12/22.39 -> [2623] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [2624] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [2623] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.39 -> [2672] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39 -> [2673] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [2673] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.39
% 147.12/22.39 [2672] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.39
% 147.12/22.39 [2624] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [3797] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [3798] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [3797] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [3822] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [3822] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [3798] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [3801] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [3801] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.39 -> [3856] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.39
% 147.12/22.39 [3856] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.12/22.39 -> [3857] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.39 -> [3858] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39
% 147.12/22.39 [3858] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.12/22.39 -> [3862] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39 -> [3863] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.12/22.39
% 147.12/22.39 [3862] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [3863] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [3897] ((unequally_directed_lines(skolem_N7979, M38_29_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_29_8))) => (left_convergent_lines(skolem_N7979, M38_29_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_29_8))))
% 147.12/22.39
% 147.12/22.39 [3897] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_29_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_29_8))) => (left_convergent_lines(skolem_N7979, M38_29_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_29_8))))
% 147.12/22.39 -> [3900] ~(unequally_directed_lines(skolem_N7979, M38_29_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_29_8)))
% 147.12/22.39 -> [3901] (left_convergent_lines(skolem_N7979, M38_29_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_29_8)))
% 147.12/22.39
% 147.12/22.39 [3901] BETA_OR : (left_convergent_lines(skolem_N7979, M38_29_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_29_8)))
% 147.12/22.39 -> [3909] left_convergent_lines(skolem_N7979, M38_29_8)
% 147.12/22.39 -> [3910] left_convergent_lines(skolem_N7979, reverse_line(M38_29_8))
% 147.12/22.39
% 147.12/22.39 [3910] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [3948] ~(left_apart_point(A39_47_9, L40_47_9) | left_apart_point(A39_47_9, reverse_line(L40_47_9)))
% 147.12/22.39
% 147.12/22.39 [3948] ALPHA_NOT_OR : ~(left_apart_point(A39_47_9, L40_47_9) | left_apart_point(A39_47_9, reverse_line(L40_47_9)))
% 147.12/22.39 -> [3949] ~left_apart_point(A39_47_9, L40_47_9), ~left_apart_point(A39_47_9, reverse_line(L40_47_9))
% 147.12/22.39
% 147.12/22.39 [3949] CLOSURE : ~left_apart_point(A39_47_9, L40_47_9)
% 147.12/22.39
% 147.12/22.39 [3909] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [3955] ~(left_apart_point(A39_48_9, L40_48_9) | left_apart_point(A39_48_9, reverse_line(L40_48_9)))
% 147.12/22.39
% 147.12/22.39 [3955] ALPHA_NOT_OR : ~(left_apart_point(A39_48_9, L40_48_9) | left_apart_point(A39_48_9, reverse_line(L40_48_9)))
% 147.12/22.39 -> [3957] ~left_apart_point(A39_48_9, L40_48_9), ~left_apart_point(A39_48_9, reverse_line(L40_48_9))
% 147.12/22.39
% 147.12/22.39 [3957] CLOSURE : ~left_apart_point(A39_48_9, L40_48_9)
% 147.12/22.39
% 147.12/22.39 [3900] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_29_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_29_8)))
% 147.12/22.39 -> [3923] ~unequally_directed_lines(skolem_N7979, M38_29_8)
% 147.12/22.39 -> [3924] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_29_8))
% 147.12/22.39
% 147.12/22.39 [3924] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_29_8))
% 147.12/22.39
% 147.12/22.39 [3923] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_29_8)
% 147.12/22.39
% 147.12/22.39 [3857] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.12/22.39 -> [3872] ~line(skolem_M7878)
% 147.12/22.39 -> [3873] ~line(skolem_M7878)
% 147.12/22.39
% 147.12/22.39 [3872] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [4019] ((unequally_directed_lines(skolem_N7979, M38_30_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_30_8))) => (left_convergent_lines(skolem_N7979, M38_30_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_30_8))))
% 147.12/22.39
% 147.12/22.39 [4019] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_30_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_30_8))) => (left_convergent_lines(skolem_N7979, M38_30_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_30_8))))
% 147.12/22.39 -> [4022] ~(unequally_directed_lines(skolem_N7979, M38_30_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_30_8)))
% 147.12/22.39 -> [4023] (left_convergent_lines(skolem_N7979, M38_30_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_30_8)))
% 147.12/22.39
% 147.12/22.39 [4023] BETA_OR : (left_convergent_lines(skolem_N7979, M38_30_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_30_8)))
% 147.12/22.39 -> [4024] left_convergent_lines(skolem_N7979, M38_30_8)
% 147.12/22.39 -> [4025] left_convergent_lines(skolem_N7979, reverse_line(M38_30_8))
% 147.12/22.39
% 147.12/22.39 [4025] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [4178] ~(left_apart_point(A39_59_9, L40_59_9) | left_apart_point(A39_59_9, reverse_line(L40_59_9)))
% 147.12/22.39
% 147.12/22.39 [4178] ALPHA_NOT_OR : ~(left_apart_point(A39_59_9, L40_59_9) | left_apart_point(A39_59_9, reverse_line(L40_59_9)))
% 147.12/22.39 -> [4179] ~left_apart_point(A39_59_9, L40_59_9), ~left_apart_point(A39_59_9, reverse_line(L40_59_9))
% 147.12/22.39
% 147.12/22.39 [4179] CLOSURE : ~left_apart_point(A39_59_9, L40_59_9)
% 147.12/22.39
% 147.12/22.39 [4024] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [4227] ~(left_apart_point(A39_63_9, L40_63_9) | left_apart_point(A39_63_9, reverse_line(L40_63_9)))
% 147.12/22.39
% 147.12/22.39 [4227] ALPHA_NOT_OR : ~(left_apart_point(A39_63_9, L40_63_9) | left_apart_point(A39_63_9, reverse_line(L40_63_9)))
% 147.12/22.39 -> [4249] ~left_apart_point(A39_63_9, L40_63_9), ~left_apart_point(A39_63_9, reverse_line(L40_63_9))
% 147.12/22.39
% 147.12/22.39 [4249] CLOSURE : ~left_apart_point(A39_63_9, L40_63_9)
% 147.12/22.39
% 147.12/22.39 [4022] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_30_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_30_8)))
% 147.12/22.39 -> [4075] ~unequally_directed_lines(skolem_N7979, M38_30_8)
% 147.12/22.39 -> [4076] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_30_8))
% 147.12/22.39
% 147.12/22.39 [4076] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_30_8))
% 147.12/22.39
% 147.12/22.39 [4075] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_30_8)
% 147.12/22.39
% 147.12/22.39 [3873] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.39 -> [3888] ((unequally_directed_lines(skolem_N7979, M38_28_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_28_8))) => (left_convergent_lines(skolem_N7979, M38_28_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_28_8))))
% 147.12/22.39
% 147.12/22.39 [3888] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_28_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_28_8))) => (left_convergent_lines(skolem_N7979, M38_28_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_28_8))))
% 147.12/22.39 -> [3890] ~(unequally_directed_lines(skolem_N7979, M38_28_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_28_8)))
% 147.12/22.39 -> [3891] (left_convergent_lines(skolem_N7979, M38_28_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_28_8)))
% 147.12/22.39
% 147.12/22.39 [3890] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_28_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_28_8)))
% 147.12/22.39 -> [3917] ~unequally_directed_lines(skolem_N7979, M38_28_8)
% 147.12/22.39 -> [3918] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_28_8))
% 147.12/22.39
% 147.12/22.39 [3918] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_28_8))
% 147.12/22.39
% 147.12/22.39 [3917] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_28_8)
% 147.12/22.39
% 147.12/22.39 [3891] BETA_OR : (left_convergent_lines(skolem_N7979, M38_28_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_28_8)))
% 147.12/22.39 -> [3892] left_convergent_lines(skolem_N7979, M38_28_8)
% 147.12/22.39 -> [3893] left_convergent_lines(skolem_N7979, reverse_line(M38_28_8))
% 147.12/22.39
% 147.12/22.39 [3892] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [4108] ~(left_apart_point(A39_54_9, L40_54_9) | left_apart_point(A39_54_9, reverse_line(L40_54_9)))
% 147.12/22.39
% 147.12/22.39 [4108] ALPHA_NOT_OR : ~(left_apart_point(A39_54_9, L40_54_9) | left_apart_point(A39_54_9, reverse_line(L40_54_9)))
% 147.12/22.39 -> [4109] ~left_apart_point(A39_54_9, L40_54_9), ~left_apart_point(A39_54_9, reverse_line(L40_54_9))
% 147.12/22.39
% 147.12/22.39 [4109] CLOSURE : ~left_apart_point(A39_54_9, L40_54_9)
% 147.12/22.39
% 147.12/22.39 [3893] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.39 -> [4137] ~(left_apart_point(A39_56_9, L40_56_9) | left_apart_point(A39_56_9, reverse_line(L40_56_9)))
% 147.12/22.39
% 147.12/22.39 [4137] ALPHA_NOT_OR : ~(left_apart_point(A39_56_9, L40_56_9) | left_apart_point(A39_56_9, reverse_line(L40_56_9)))
% 147.12/22.39 -> [4140] ~left_apart_point(A39_56_9, L40_56_9), ~left_apart_point(A39_56_9, reverse_line(L40_56_9))
% 147.12/22.39
% 147.12/22.39 [4140] CLOSURE : ~left_apart_point(A39_56_9, L40_56_9)
% 147.12/22.40
% 147.12/22.40 [384] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.40 -> [411] ~distinct_points(C23_3_1, C23_3_1)
% 147.12/22.40
% 147.12/22.40 [411] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.40 -> [425] (distinct_points(C23_3_1, C23_3_1) => (distinct_points(C23_3_1, C23_3_1) | distinct_points(C23_3_1, C23_3_1)))
% 147.12/22.40
% 147.12/22.40 [425] BETA_IMPLY : (distinct_points(C23_3_1, C23_3_1) => (distinct_points(C23_3_1, C23_3_1) | distinct_points(C23_3_1, C23_3_1)))
% 147.12/22.40 -> [467] ~distinct_points(C23_3_1, C23_3_1)
% 147.12/22.40 -> [468] (distinct_points(C23_3_1, C23_3_1) | distinct_points(C23_3_1, C23_3_1))
% 147.12/22.40
% 147.12/22.40 [468] BETA_OR : (distinct_points(C23_3_1, C23_3_1) | distinct_points(C23_3_1, C23_3_1))
% 147.12/22.40 -> [473] distinct_points(C23_3_1, C23_3_1)
% 147.12/22.40 -> [474] distinct_points(C23_3_1, C23_3_1)
% 147.12/22.40
% 147.12/22.40 [473] CLOSURE : distinct_points(C23_3_1, C23_3_1)
% 147.12/22.40
% 147.12/22.40 [474] CLOSURE : distinct_points(C23_3_1, C23_3_1)
% 147.12/22.40
% 147.12/22.40 [467] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.40 -> [1899] ~distinct_lines(M26_29_3, M26_29_3)
% 147.12/22.40
% 147.12/22.40 [1899] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.40 -> [1922] (distinct_lines(M26_29_3, M26_29_3) => (distinct_lines(M26_29_3, M26_29_3) | distinct_lines(M26_29_3, M26_29_3)))
% 147.12/22.40
% 147.12/22.40 [1922] BETA_IMPLY : (distinct_lines(M26_29_3, M26_29_3) => (distinct_lines(M26_29_3, M26_29_3) | distinct_lines(M26_29_3, M26_29_3)))
% 147.12/22.40 -> [1923] ~distinct_lines(M26_29_3, M26_29_3)
% 147.12/22.40 -> [1924] (distinct_lines(M26_29_3, M26_29_3) | distinct_lines(M26_29_3, M26_29_3))
% 147.12/22.40
% 147.12/22.40 [1924] BETA_OR : (distinct_lines(M26_29_3, M26_29_3) | distinct_lines(M26_29_3, M26_29_3))
% 147.12/22.40 -> [1925] distinct_lines(M26_29_3, M26_29_3)
% 147.12/22.40 -> [1926] distinct_lines(M26_29_3, M26_29_3)
% 147.12/22.40
% 147.12/22.40 [1925] CLOSURE : distinct_lines(M26_29_3, M26_29_3)
% 147.12/22.40
% 147.12/22.40 [1926] CLOSURE : distinct_lines(M26_29_3, M26_29_3)
% 147.12/22.40
% 147.12/22.40 [1923] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.40 -> [1945] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [1945] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.40 -> [1965] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.40
% 147.12/22.40 [1965] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.40 -> [1966] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40 -> [1967] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.40
% 147.12/22.40 [1966] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [1967] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.40 -> [3724] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40 -> [3725] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [3725] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [3724] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.40 -> [3962] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_29_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_29_6))) | (unequally_directed_lines(skolem_N7979, N34_29_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_29_6)))))
% 147.12/22.40
% 147.12/22.40 [3962] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_29_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_29_6))) | (unequally_directed_lines(skolem_N7979, N34_29_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_29_6)))))
% 147.12/22.40 -> [3964] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [3965] ((unequally_directed_lines(skolem_M7878, N34_29_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_29_6))) | (unequally_directed_lines(skolem_N7979, N34_29_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_29_6))))
% 147.12/22.40
% 147.12/22.40 [3964] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [3981] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40 -> [3982] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [3982] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [3981] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40
% 147.12/22.40 [3965] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_29_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_29_6))) | (unequally_directed_lines(skolem_N7979, N34_29_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_29_6))))
% 147.12/22.40 -> [4776] (unequally_directed_lines(skolem_M7878, N34_29_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_29_6)))
% 147.12/22.40 -> [4777] (unequally_directed_lines(skolem_N7979, N34_29_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_29_6)))
% 147.12/22.40
% 147.12/22.40 [4777] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_29_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_29_6)))
% 147.12/22.40 -> [4779] unequally_directed_lines(skolem_N7979, N34_29_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_29_6))
% 147.12/22.40
% 147.12/22.40 [4779] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.40 -> [4808] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.40
% 147.12/22.40 [4808] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.40 -> [4809] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.40 -> [4810] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.40
% 147.12/22.40 [4809] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.40 -> [4823] ~line(reverse_line(skolem_N7979))
% 147.12/22.40 -> [4824] ~line(skolem_N7979)
% 147.12/22.40
% 147.12/22.40 [4823] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [4878] ((unequally_directed_lines(skolem_N7979, M38_65_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_65_8))) => (left_convergent_lines(skolem_N7979, M38_65_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_65_8))))
% 147.12/22.40
% 147.12/22.40 [4878] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_65_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_65_8))) => (left_convergent_lines(skolem_N7979, M38_65_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_65_8))))
% 147.12/22.40 -> [4881] ~(unequally_directed_lines(skolem_N7979, M38_65_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_65_8)))
% 147.12/22.40 -> [4882] (left_convergent_lines(skolem_N7979, M38_65_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_65_8)))
% 147.12/22.40
% 147.12/22.40 [4882] BETA_OR : (left_convergent_lines(skolem_N7979, M38_65_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_65_8)))
% 147.12/22.40 -> [4945] left_convergent_lines(skolem_N7979, M38_65_8)
% 147.12/22.40 -> [4946] left_convergent_lines(skolem_N7979, reverse_line(M38_65_8))
% 147.12/22.40
% 147.12/22.40 [4946] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [5005] ~(left_apart_point(A39_116_9, L40_116_9) | left_apart_point(A39_116_9, reverse_line(L40_116_9)))
% 147.12/22.40
% 147.12/22.40 [5005] ALPHA_NOT_OR : ~(left_apart_point(A39_116_9, L40_116_9) | left_apart_point(A39_116_9, reverse_line(L40_116_9)))
% 147.12/22.40 -> [5006] ~left_apart_point(A39_116_9, L40_116_9), ~left_apart_point(A39_116_9, reverse_line(L40_116_9))
% 147.12/22.40
% 147.12/22.40 [5006] CLOSURE : ~left_apart_point(A39_116_9, L40_116_9)
% 147.12/22.40
% 147.12/22.40 [4945] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [5017] ~(left_apart_point(A39_119_9, L40_119_9) | left_apart_point(A39_119_9, reverse_line(L40_119_9)))
% 147.12/22.40
% 147.12/22.40 [5017] ALPHA_NOT_OR : ~(left_apart_point(A39_119_9, L40_119_9) | left_apart_point(A39_119_9, reverse_line(L40_119_9)))
% 147.12/22.40 -> [5018] ~left_apart_point(A39_119_9, L40_119_9), ~left_apart_point(A39_119_9, reverse_line(L40_119_9))
% 147.12/22.40
% 147.12/22.40 [5018] CLOSURE : ~left_apart_point(A39_119_9, L40_119_9)
% 147.12/22.40
% 147.12/22.40 [4881] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_65_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_65_8)))
% 147.12/22.40 -> [4955] ~unequally_directed_lines(skolem_N7979, M38_65_8)
% 147.12/22.40 -> [4956] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_65_8))
% 147.12/22.40
% 147.12/22.40 [4956] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_65_8))
% 147.12/22.40
% 147.12/22.40 [4955] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_65_8)
% 147.12/22.40
% 147.12/22.40 [4824] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [4851] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.40
% 147.12/22.40 [4851] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.40 -> [4856] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [4857] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40
% 147.12/22.40 [4856] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [4891] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40 -> [4892] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [4892] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [4891] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40
% 147.12/22.40 [4857] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [4861] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40 -> [4862] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [4861] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [4939] ~(left_apart_point(A39_112_9, L40_112_9) | left_apart_point(A39_112_9, reverse_line(L40_112_9)))
% 147.12/22.40
% 147.12/22.40 [4939] ALPHA_NOT_OR : ~(left_apart_point(A39_112_9, L40_112_9) | left_apart_point(A39_112_9, reverse_line(L40_112_9)))
% 147.12/22.40 -> [4941] ~left_apart_point(A39_112_9, L40_112_9), ~left_apart_point(A39_112_9, reverse_line(L40_112_9))
% 147.12/22.40
% 147.12/22.40 [4941] CLOSURE : ~left_apart_point(A39_112_9, L40_112_9)
% 147.12/22.40
% 147.12/22.40 [4862] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [5114] ~(left_apart_point(A39_133_9, L40_133_9) | left_apart_point(A39_133_9, reverse_line(L40_133_9)))
% 147.12/22.40
% 147.12/22.40 [5114] ALPHA_NOT_OR : ~(left_apart_point(A39_133_9, L40_133_9) | left_apart_point(A39_133_9, reverse_line(L40_133_9)))
% 147.12/22.40 -> [5116] ~left_apart_point(A39_133_9, L40_133_9), ~left_apart_point(A39_133_9, reverse_line(L40_133_9))
% 147.12/22.40
% 147.12/22.40 [5116] CLOSURE : ~left_apart_point(A39_133_9, L40_133_9)
% 147.12/22.40
% 147.12/22.40 [4810] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.40 -> [4811] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.12/22.40 -> [4812] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [4812] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [4811] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [6047] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.40
% 147.12/22.40 [6047] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.40 -> [6050] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [6051] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40
% 147.12/22.40 [6051] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [6053] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40 -> [6054] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [6053] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [6115] ~(left_apart_point(A39_231_9, L40_231_9) | left_apart_point(A39_231_9, reverse_line(L40_231_9)))
% 147.12/22.40
% 147.12/22.40 [6115] ALPHA_NOT_OR : ~(left_apart_point(A39_231_9, L40_231_9) | left_apart_point(A39_231_9, reverse_line(L40_231_9)))
% 147.12/22.40 -> [6118] ~left_apart_point(A39_231_9, L40_231_9), ~left_apart_point(A39_231_9, reverse_line(L40_231_9))
% 147.12/22.40
% 147.12/22.40 [6118] CLOSURE : ~left_apart_point(A39_231_9, L40_231_9)
% 147.12/22.40
% 147.12/22.40 [6054] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [6119] ~(left_apart_point(A39_232_9, L40_232_9) | left_apart_point(A39_232_9, reverse_line(L40_232_9)))
% 147.12/22.40
% 147.12/22.40 [6119] ALPHA_NOT_OR : ~(left_apart_point(A39_232_9, L40_232_9) | left_apart_point(A39_232_9, reverse_line(L40_232_9)))
% 147.12/22.40 -> [6120] ~left_apart_point(A39_232_9, L40_232_9), ~left_apart_point(A39_232_9, reverse_line(L40_232_9))
% 147.12/22.40
% 147.12/22.40 [6120] CLOSURE : ~left_apart_point(A39_232_9, L40_232_9)
% 147.12/22.40
% 147.12/22.40 [6050] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [6063] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40 -> [6064] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [6064] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [6063] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40
% 147.12/22.40 [4776] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_29_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_29_6)))
% 147.12/22.40 -> [4885] unequally_directed_lines(skolem_M7878, N34_29_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_29_6))
% 147.12/22.40
% 147.12/22.40 [4885] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.40 -> [5201] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.40
% 147.12/22.40 [5201] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.40 -> [5202] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.40 -> [5203] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.40
% 147.12/22.40 [5202] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.12/22.40 -> [5224] ~line(reverse_line(skolem_N7979))
% 147.12/22.40 -> [5225] ~line(skolem_N7979)
% 147.12/22.40
% 147.12/22.40 [5224] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [5336] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.40
% 147.12/22.40 [5336] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.40 -> [5337] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [5338] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40
% 147.12/22.40 [5338] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [5339] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40 -> [5340] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [5340] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [5439] ~(left_apart_point(A39_168_9, L40_168_9) | left_apart_point(A39_168_9, reverse_line(L40_168_9)))
% 147.12/22.40
% 147.12/22.40 [5439] ALPHA_NOT_OR : ~(left_apart_point(A39_168_9, L40_168_9) | left_apart_point(A39_168_9, reverse_line(L40_168_9)))
% 147.12/22.40 -> [5440] ~left_apart_point(A39_168_9, L40_168_9), ~left_apart_point(A39_168_9, reverse_line(L40_168_9))
% 147.12/22.40
% 147.12/22.40 [5440] CLOSURE : ~left_apart_point(A39_168_9, L40_168_9)
% 147.12/22.40
% 147.12/22.40 [5339] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [5481] ~(left_apart_point(A39_172_9, L40_172_9) | left_apart_point(A39_172_9, reverse_line(L40_172_9)))
% 147.12/22.40
% 147.12/22.40 [5481] ALPHA_NOT_OR : ~(left_apart_point(A39_172_9, L40_172_9) | left_apart_point(A39_172_9, reverse_line(L40_172_9)))
% 147.12/22.40 -> [5484] ~left_apart_point(A39_172_9, L40_172_9), ~left_apart_point(A39_172_9, reverse_line(L40_172_9))
% 147.12/22.40
% 147.12/22.40 [5484] CLOSURE : ~left_apart_point(A39_172_9, L40_172_9)
% 147.12/22.40
% 147.12/22.40 [5337] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [5378] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40 -> [5379] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [5379] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [5378] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40
% 147.12/22.40 [5225] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [5309] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.40
% 147.12/22.40 [5309] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.40 -> [5313] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [5314] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40
% 147.12/22.40 [5314] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [5319] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40 -> [5320] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [5319] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [5446] ~(left_apart_point(A39_169_9, L40_169_9) | left_apart_point(A39_169_9, reverse_line(L40_169_9)))
% 147.12/22.40
% 147.12/22.40 [5446] ALPHA_NOT_OR : ~(left_apart_point(A39_169_9, L40_169_9) | left_apart_point(A39_169_9, reverse_line(L40_169_9)))
% 147.12/22.40 -> [5447] ~left_apart_point(A39_169_9, L40_169_9), ~left_apart_point(A39_169_9, reverse_line(L40_169_9))
% 147.12/22.40
% 147.12/22.40 [5447] CLOSURE : ~left_apart_point(A39_169_9, L40_169_9)
% 147.12/22.40
% 147.12/22.40 [5320] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [5451] ~(left_apart_point(A39_170_9, L40_170_9) | left_apart_point(A39_170_9, reverse_line(L40_170_9)))
% 147.12/22.40
% 147.12/22.40 [5451] ALPHA_NOT_OR : ~(left_apart_point(A39_170_9, L40_170_9) | left_apart_point(A39_170_9, reverse_line(L40_170_9)))
% 147.12/22.40 -> [5452] ~left_apart_point(A39_170_9, L40_170_9), ~left_apart_point(A39_170_9, reverse_line(L40_170_9))
% 147.12/22.40
% 147.12/22.40 [5452] CLOSURE : ~left_apart_point(A39_170_9, L40_170_9)
% 147.12/22.40
% 147.12/22.40 [5313] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [5341] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40 -> [5342] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [5342] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [5341] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40
% 147.12/22.40 [5203] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.40 -> [5207] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.12/22.40 -> [5208] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [5208] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [5207] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [7749] ((unequally_directed_lines(skolem_M7878, M38_224_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_224_8))) => (left_convergent_lines(skolem_M7878, M38_224_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_224_8))))
% 147.12/22.40
% 147.12/22.40 [7749] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_224_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_224_8))) => (left_convergent_lines(skolem_M7878, M38_224_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_224_8))))
% 147.12/22.40 -> [7750] ~(unequally_directed_lines(skolem_M7878, M38_224_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_224_8)))
% 147.12/22.40 -> [7751] (left_convergent_lines(skolem_M7878, M38_224_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_224_8)))
% 147.12/22.40
% 147.12/22.40 [7751] BETA_OR : (left_convergent_lines(skolem_M7878, M38_224_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_224_8)))
% 147.12/22.40 -> [7752] left_convergent_lines(skolem_M7878, M38_224_8)
% 147.12/22.40 -> [7753] left_convergent_lines(skolem_M7878, reverse_line(M38_224_8))
% 147.12/22.40
% 147.12/22.40 [7752] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [7894] ~(left_apart_point(A39_413_9, L40_413_9) | left_apart_point(A39_413_9, reverse_line(L40_413_9)))
% 147.12/22.40
% 147.12/22.40 [7894] ALPHA_NOT_OR : ~(left_apart_point(A39_413_9, L40_413_9) | left_apart_point(A39_413_9, reverse_line(L40_413_9)))
% 147.12/22.40 -> [7895] ~left_apart_point(A39_413_9, L40_413_9), ~left_apart_point(A39_413_9, reverse_line(L40_413_9))
% 147.12/22.40
% 147.12/22.40 [7895] CLOSURE : ~left_apart_point(A39_413_9, L40_413_9)
% 147.12/22.40
% 147.12/22.40 [7753] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [7899] ~(left_apart_point(A39_414_9, L40_414_9) | left_apart_point(A39_414_9, reverse_line(L40_414_9)))
% 147.12/22.40
% 147.12/22.40 [7899] ALPHA_NOT_OR : ~(left_apart_point(A39_414_9, L40_414_9) | left_apart_point(A39_414_9, reverse_line(L40_414_9)))
% 147.12/22.40 -> [7900] ~left_apart_point(A39_414_9, L40_414_9), ~left_apart_point(A39_414_9, reverse_line(L40_414_9))
% 147.12/22.40
% 147.12/22.40 [7900] CLOSURE : ~left_apart_point(A39_414_9, L40_414_9)
% 147.12/22.40
% 147.12/22.40 [7750] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_224_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_224_8)))
% 147.12/22.40 -> [7779] ~unequally_directed_lines(skolem_M7878, M38_224_8)
% 147.12/22.40 -> [7780] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_224_8))
% 147.12/22.40
% 147.12/22.40 [7780] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_224_8))
% 147.12/22.40
% 147.12/22.40 [7779] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_224_8)
% 147.12/22.40
% 147.12/22.40 [368] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.40 -> [730] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.40
% 147.12/22.40 [730] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.40 -> [1301] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.12/22.40
% 147.12/22.40 [1301] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.12/22.40 -> [1302] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.40 -> [1303] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.12/22.40
% 147.12/22.40 [1302] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.40
% 147.12/22.40 [1303] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.12/22.40 -> [1503] distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.40 -> [1504] distinct_points(skolem_A8080, skolem_B8181)
% 147.12/22.40
% 147.12/22.40 [1503] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.40
% 147.12/22.40 [1504] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.40 -> [2020] ~distinct_lines(N27_36_3, N27_36_3)
% 147.12/22.40
% 147.12/22.40 [2020] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.40 -> [2034] (distinct_lines(N27_36_3, N27_36_3) => (distinct_lines(N27_36_3, N27_36_3) | distinct_lines(N27_36_3, N27_36_3)))
% 147.12/22.40
% 147.12/22.40 [2034] BETA_IMPLY : (distinct_lines(N27_36_3, N27_36_3) => (distinct_lines(N27_36_3, N27_36_3) | distinct_lines(N27_36_3, N27_36_3)))
% 147.12/22.40 -> [2035] ~distinct_lines(N27_36_3, N27_36_3)
% 147.12/22.40 -> [2036] (distinct_lines(N27_36_3, N27_36_3) | distinct_lines(N27_36_3, N27_36_3))
% 147.12/22.40
% 147.12/22.40 [2036] BETA_OR : (distinct_lines(N27_36_3, N27_36_3) | distinct_lines(N27_36_3, N27_36_3))
% 147.12/22.40 -> [2186] distinct_lines(N27_36_3, N27_36_3)
% 147.12/22.40 -> [2187] distinct_lines(N27_36_3, N27_36_3)
% 147.12/22.40
% 147.12/22.40 [2186] CLOSURE : distinct_lines(N27_36_3, N27_36_3)
% 147.12/22.40
% 147.12/22.40 [2187] CLOSURE : distinct_lines(N27_36_3, N27_36_3)
% 147.12/22.40
% 147.12/22.40 [2035] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.40 -> [2261] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [2261] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.40 -> [3021] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.40
% 147.12/22.40 [3021] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.40 -> [3022] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40 -> [3023] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.40
% 147.12/22.40 [3022] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [3023] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.40 -> [3814] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40 -> [3815] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [3815] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [3814] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.40 -> [4457] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_47_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_47_6))) | (unequally_directed_lines(skolem_N7979, N34_47_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_47_6)))))
% 147.12/22.40
% 147.12/22.40 [4457] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_47_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_47_6))) | (unequally_directed_lines(skolem_N7979, N34_47_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_47_6)))))
% 147.12/22.40 -> [4460] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [4461] ((unequally_directed_lines(skolem_M7878, N34_47_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_47_6))) | (unequally_directed_lines(skolem_N7979, N34_47_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_47_6))))
% 147.12/22.40
% 147.12/22.40 [4460] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [4487] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40 -> [4488] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [4488] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [4487] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40
% 147.12/22.40 [4461] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_47_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_47_6))) | (unequally_directed_lines(skolem_N7979, N34_47_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_47_6))))
% 147.12/22.40 -> [6636] (unequally_directed_lines(skolem_M7878, N34_47_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_47_6)))
% 147.12/22.40 -> [6637] (unequally_directed_lines(skolem_N7979, N34_47_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_47_6)))
% 147.12/22.40
% 147.12/22.40 [6636] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_47_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_47_6)))
% 147.12/22.40 -> [6651] unequally_directed_lines(skolem_M7878, N34_47_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_47_6))
% 147.12/22.40
% 147.12/22.40 [6651] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.40 -> [6744] ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.12/22.40
% 147.12/22.40 [6744] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.12/22.40 -> [6745] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.12/22.40 -> [6746] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.12/22.40
% 147.12/22.40 [6745] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.12/22.40 -> [7254] ~line(reverse_line(skolem_N7979))
% 147.12/22.40 -> [7255] ~line(reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [7255] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [7389] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.40
% 147.12/22.40 [7389] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.40 -> [7394] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [7395] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40
% 147.12/22.40 [7395] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [7399] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40 -> [7400] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [7400] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [7531] ~(left_apart_point(A39_362_9, L40_362_9) | left_apart_point(A39_362_9, reverse_line(L40_362_9)))
% 147.12/22.40
% 147.12/22.40 [7531] ALPHA_NOT_OR : ~(left_apart_point(A39_362_9, L40_362_9) | left_apart_point(A39_362_9, reverse_line(L40_362_9)))
% 147.12/22.40 -> [7534] ~left_apart_point(A39_362_9, L40_362_9), ~left_apart_point(A39_362_9, reverse_line(L40_362_9))
% 147.12/22.40
% 147.12/22.40 [7534] CLOSURE : ~left_apart_point(A39_362_9, L40_362_9)
% 147.12/22.40
% 147.12/22.40 [7399] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [7579] ~(left_apart_point(A39_369_9, L40_369_9) | left_apart_point(A39_369_9, reverse_line(L40_369_9)))
% 147.12/22.40
% 147.12/22.40 [7579] ALPHA_NOT_OR : ~(left_apart_point(A39_369_9, L40_369_9) | left_apart_point(A39_369_9, reverse_line(L40_369_9)))
% 147.12/22.40 -> [7582] ~left_apart_point(A39_369_9, L40_369_9), ~left_apart_point(A39_369_9, reverse_line(L40_369_9))
% 147.12/22.40
% 147.12/22.40 [7582] CLOSURE : ~left_apart_point(A39_369_9, L40_369_9)
% 147.12/22.40
% 147.12/22.40 [7394] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [7420] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40 -> [7421] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [7421] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [7420] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40
% 147.12/22.40 [7254] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [7407] ((unequally_directed_lines(skolem_M7878, M38_205_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_205_8))) => (left_convergent_lines(skolem_M7878, M38_205_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_205_8))))
% 147.12/22.40
% 147.12/22.40 [7407] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_205_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_205_8))) => (left_convergent_lines(skolem_M7878, M38_205_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_205_8))))
% 147.12/22.40 -> [7414] ~(unequally_directed_lines(skolem_M7878, M38_205_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_205_8)))
% 147.12/22.40 -> [7415] (left_convergent_lines(skolem_M7878, M38_205_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_205_8)))
% 147.12/22.40
% 147.12/22.40 [7415] BETA_OR : (left_convergent_lines(skolem_M7878, M38_205_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_205_8)))
% 147.12/22.40 -> [7416] left_convergent_lines(skolem_M7878, M38_205_8)
% 147.12/22.40 -> [7417] left_convergent_lines(skolem_M7878, reverse_line(M38_205_8))
% 147.12/22.40
% 147.12/22.40 [7417] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [7566] ~(left_apart_point(A39_367_9, L40_367_9) | left_apart_point(A39_367_9, reverse_line(L40_367_9)))
% 147.12/22.40
% 147.12/22.40 [7566] ALPHA_NOT_OR : ~(left_apart_point(A39_367_9, L40_367_9) | left_apart_point(A39_367_9, reverse_line(L40_367_9)))
% 147.12/22.40 -> [7569] ~left_apart_point(A39_367_9, L40_367_9), ~left_apart_point(A39_367_9, reverse_line(L40_367_9))
% 147.12/22.40
% 147.12/22.40 [7569] CLOSURE : ~left_apart_point(A39_367_9, L40_367_9)
% 147.12/22.40
% 147.12/22.40 [7416] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [7611] ~(left_apart_point(A39_375_9, L40_375_9) | left_apart_point(A39_375_9, reverse_line(L40_375_9)))
% 147.12/22.40
% 147.12/22.40 [7611] ALPHA_NOT_OR : ~(left_apart_point(A39_375_9, L40_375_9) | left_apart_point(A39_375_9, reverse_line(L40_375_9)))
% 147.12/22.40 -> [7612] ~left_apart_point(A39_375_9, L40_375_9), ~left_apart_point(A39_375_9, reverse_line(L40_375_9))
% 147.12/22.40
% 147.12/22.40 [7612] CLOSURE : ~left_apart_point(A39_375_9, L40_375_9)
% 147.12/22.40
% 147.12/22.40 [7414] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_205_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_205_8)))
% 147.12/22.40 -> [7458] ~unequally_directed_lines(skolem_M7878, M38_205_8)
% 147.12/22.40 -> [7459] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_205_8))
% 147.12/22.40
% 147.12/22.40 [7459] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_205_8))
% 147.12/22.40
% 147.12/22.40 [7458] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_205_8)
% 147.12/22.40
% 147.12/22.40 [6746] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.12/22.40 -> [6759] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40 -> [6760] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 147.12/22.40
% 147.12/22.40 [6759] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [6760] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [8831] ((unequally_directed_lines(skolem_M7878, M38_282_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_282_8))) => (left_convergent_lines(skolem_M7878, M38_282_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_282_8))))
% 147.12/22.40
% 147.12/22.40 [8831] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_282_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_282_8))) => (left_convergent_lines(skolem_M7878, M38_282_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_282_8))))
% 147.12/22.40 -> [8835] ~(unequally_directed_lines(skolem_M7878, M38_282_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_282_8)))
% 147.12/22.40 -> [8836] (left_convergent_lines(skolem_M7878, M38_282_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_282_8)))
% 147.12/22.40
% 147.12/22.40 [8836] BETA_OR : (left_convergent_lines(skolem_M7878, M38_282_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_282_8)))
% 147.12/22.40 -> [8839] left_convergent_lines(skolem_M7878, M38_282_8)
% 147.12/22.40 -> [8840] left_convergent_lines(skolem_M7878, reverse_line(M38_282_8))
% 147.12/22.40
% 147.12/22.40 [8840] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [8879] ~(left_apart_point(A39_547_9, L40_547_9) | left_apart_point(A39_547_9, reverse_line(L40_547_9)))
% 147.12/22.40
% 147.12/22.40 [8879] ALPHA_NOT_OR : ~(left_apart_point(A39_547_9, L40_547_9) | left_apart_point(A39_547_9, reverse_line(L40_547_9)))
% 147.12/22.40 -> [8880] ~left_apart_point(A39_547_9, L40_547_9), ~left_apart_point(A39_547_9, reverse_line(L40_547_9))
% 147.12/22.40
% 147.12/22.40 [8880] CLOSURE : ~left_apart_point(A39_547_9, L40_547_9)
% 147.12/22.40
% 147.12/22.40 [8839] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [8883] ~(left_apart_point(A39_549_9, L40_549_9) | left_apart_point(A39_549_9, reverse_line(L40_549_9)))
% 147.12/22.40
% 147.12/22.40 [8883] ALPHA_NOT_OR : ~(left_apart_point(A39_549_9, L40_549_9) | left_apart_point(A39_549_9, reverse_line(L40_549_9)))
% 147.12/22.40 -> [8887] ~left_apart_point(A39_549_9, L40_549_9), ~left_apart_point(A39_549_9, reverse_line(L40_549_9))
% 147.12/22.40
% 147.12/22.40 [8887] CLOSURE : ~left_apart_point(A39_549_9, L40_549_9)
% 147.12/22.40
% 147.12/22.40 [8835] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_282_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_282_8)))
% 147.12/22.40 -> [8842] ~unequally_directed_lines(skolem_M7878, M38_282_8)
% 147.12/22.40 -> [8843] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_282_8))
% 147.12/22.40
% 147.12/22.40 [8843] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_282_8))
% 147.12/22.40
% 147.12/22.40 [8842] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_282_8)
% 147.12/22.40
% 147.12/22.40 [6637] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_47_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_47_6)))
% 147.12/22.40 -> [6640] unequally_directed_lines(skolem_N7979, N34_47_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_47_6))
% 147.12/22.40
% 147.12/22.40 [6640] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.40 -> [6705] ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.12/22.40
% 147.12/22.40 [6705] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.12/22.40 -> [6710] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.12/22.40 -> [6711] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.12/22.40
% 147.12/22.40 [6710] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.12/22.40 -> [6764] ~line(reverse_line(skolem_N7979))
% 147.12/22.40 -> [6765] ~line(reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [6765] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [7051] ((unequally_directed_lines(skolem_N7979, M38_182_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_182_8))) => (left_convergent_lines(skolem_N7979, M38_182_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_182_8))))
% 147.12/22.40
% 147.12/22.40 [7051] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_182_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_182_8))) => (left_convergent_lines(skolem_N7979, M38_182_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_182_8))))
% 147.12/22.40 -> [7054] ~(unequally_directed_lines(skolem_N7979, M38_182_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_182_8)))
% 147.12/22.40 -> [7055] (left_convergent_lines(skolem_N7979, M38_182_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_182_8)))
% 147.12/22.40
% 147.12/22.40 [7055] BETA_OR : (left_convergent_lines(skolem_N7979, M38_182_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_182_8)))
% 147.12/22.40 -> [7057] left_convergent_lines(skolem_N7979, M38_182_8)
% 147.12/22.40 -> [7058] left_convergent_lines(skolem_N7979, reverse_line(M38_182_8))
% 147.12/22.40
% 147.12/22.40 [7058] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [7120] ~(left_apart_point(A39_321_9, L40_321_9) | left_apart_point(A39_321_9, reverse_line(L40_321_9)))
% 147.12/22.40
% 147.12/22.40 [7120] ALPHA_NOT_OR : ~(left_apart_point(A39_321_9, L40_321_9) | left_apart_point(A39_321_9, reverse_line(L40_321_9)))
% 147.12/22.40 -> [7121] ~left_apart_point(A39_321_9, L40_321_9), ~left_apart_point(A39_321_9, reverse_line(L40_321_9))
% 147.12/22.40
% 147.12/22.40 [7121] CLOSURE : ~left_apart_point(A39_321_9, L40_321_9)
% 147.12/22.40
% 147.12/22.40 [7057] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [7128] ~(left_apart_point(A39_323_9, L40_323_9) | left_apart_point(A39_323_9, reverse_line(L40_323_9)))
% 147.12/22.40
% 147.12/22.40 [7128] ALPHA_NOT_OR : ~(left_apart_point(A39_323_9, L40_323_9) | left_apart_point(A39_323_9, reverse_line(L40_323_9)))
% 147.12/22.40 -> [7129] ~left_apart_point(A39_323_9, L40_323_9), ~left_apart_point(A39_323_9, reverse_line(L40_323_9))
% 147.12/22.40
% 147.12/22.40 [7129] CLOSURE : ~left_apart_point(A39_323_9, L40_323_9)
% 147.12/22.40
% 147.12/22.40 [7054] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_182_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_182_8)))
% 147.12/22.40 -> [7083] ~unequally_directed_lines(skolem_N7979, M38_182_8)
% 147.12/22.40 -> [7084] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_182_8))
% 147.12/22.40
% 147.12/22.40 [7084] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_182_8))
% 147.12/22.40
% 147.12/22.40 [7083] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_182_8)
% 147.12/22.40
% 147.12/22.40 [6764] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [7044] ((unequally_directed_lines(skolem_N7979, M38_181_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_181_8))) => (left_convergent_lines(skolem_N7979, M38_181_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_181_8))))
% 147.12/22.40
% 147.12/22.40 [7044] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_181_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_181_8))) => (left_convergent_lines(skolem_N7979, M38_181_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_181_8))))
% 147.12/22.40 -> [7045] ~(unequally_directed_lines(skolem_N7979, M38_181_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_181_8)))
% 147.12/22.40 -> [7046] (left_convergent_lines(skolem_N7979, M38_181_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_181_8)))
% 147.12/22.40
% 147.12/22.40 [7045] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_181_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_181_8)))
% 147.12/22.40 -> [7072] ~unequally_directed_lines(skolem_N7979, M38_181_8)
% 147.12/22.40 -> [7073] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_181_8))
% 147.12/22.40
% 147.12/22.40 [7073] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_181_8))
% 147.12/22.40
% 147.12/22.40 [7072] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_181_8)
% 147.12/22.40
% 147.12/22.40 [7046] BETA_OR : (left_convergent_lines(skolem_N7979, M38_181_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_181_8)))
% 147.12/22.40 -> [7049] left_convergent_lines(skolem_N7979, M38_181_8)
% 147.12/22.40 -> [7050] left_convergent_lines(skolem_N7979, reverse_line(M38_181_8))
% 147.12/22.40
% 147.12/22.40 [7050] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [7122] ~(left_apart_point(A39_322_9, L40_322_9) | left_apart_point(A39_322_9, reverse_line(L40_322_9)))
% 147.12/22.40
% 147.12/22.40 [7122] ALPHA_NOT_OR : ~(left_apart_point(A39_322_9, L40_322_9) | left_apart_point(A39_322_9, reverse_line(L40_322_9)))
% 147.12/22.40 -> [7123] ~left_apart_point(A39_322_9, L40_322_9), ~left_apart_point(A39_322_9, reverse_line(L40_322_9))
% 147.12/22.40
% 147.12/22.40 [7123] CLOSURE : ~left_apart_point(A39_322_9, L40_322_9)
% 147.12/22.40
% 147.12/22.40 [7049] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [7153] ~(left_apart_point(A39_325_9, L40_325_9) | left_apart_point(A39_325_9, reverse_line(L40_325_9)))
% 147.12/22.40
% 147.12/22.40 [7153] ALPHA_NOT_OR : ~(left_apart_point(A39_325_9, L40_325_9) | left_apart_point(A39_325_9, reverse_line(L40_325_9)))
% 147.12/22.40 -> [7154] ~left_apart_point(A39_325_9, L40_325_9), ~left_apart_point(A39_325_9, reverse_line(L40_325_9))
% 147.12/22.40
% 147.12/22.40 [7154] CLOSURE : ~left_apart_point(A39_325_9, L40_325_9)
% 147.12/22.40
% 147.12/22.40 [6711] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.12/22.40 -> [6721] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40 -> [6722] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 147.12/22.40
% 147.12/22.40 [6721] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [6722] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [8753] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.40
% 147.12/22.40 [8753] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.40 -> [8756] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [8757] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40
% 147.12/22.40 [8757] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [8760] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40 -> [8761] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [8761] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [8882] ~(left_apart_point(A39_548_9, L40_548_9) | left_apart_point(A39_548_9, reverse_line(L40_548_9)))
% 147.12/22.40
% 147.12/22.40 [8882] ALPHA_NOT_OR : ~(left_apart_point(A39_548_9, L40_548_9) | left_apart_point(A39_548_9, reverse_line(L40_548_9)))
% 147.12/22.40 -> [8886] ~left_apart_point(A39_548_9, L40_548_9), ~left_apart_point(A39_548_9, reverse_line(L40_548_9))
% 147.12/22.40
% 147.12/22.40 [8886] CLOSURE : ~left_apart_point(A39_548_9, L40_548_9)
% 147.12/22.40
% 147.12/22.40 [8760] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [8919] ~(left_apart_point(A39_552_9, L40_552_9) | left_apart_point(A39_552_9, reverse_line(L40_552_9)))
% 147.12/22.40
% 147.12/22.40 [8919] ALPHA_NOT_OR : ~(left_apart_point(A39_552_9, L40_552_9) | left_apart_point(A39_552_9, reverse_line(L40_552_9)))
% 147.12/22.40 -> [8923] ~left_apart_point(A39_552_9, L40_552_9), ~left_apart_point(A39_552_9, reverse_line(L40_552_9))
% 147.12/22.40
% 147.12/22.40 [8923] CLOSURE : ~left_apart_point(A39_552_9, L40_552_9)
% 147.12/22.40
% 147.12/22.40 [8756] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [8783] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40 -> [8784] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [8784] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [8783] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40
% 147.12/22.40 [227] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.12/22.40 -> [255] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.12/22.40 -> [256] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.40
% 147.12/22.40 [255] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.40 -> [387] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.40
% 147.12/22.40 [387] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.40 -> [426] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.40
% 147.12/22.40 [426] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.12/22.40 -> [427] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.40 -> [428] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.40
% 147.12/22.40 [427] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.40
% 147.12/22.40 [428] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.12/22.40 -> [2118] distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.40 -> [2119] distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.40
% 147.12/22.40 [2119] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.12/22.40
% 147.12/22.40 [2118] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.40 -> [2485] ~distinct_lines(N27_68_3, N27_68_3)
% 147.12/22.40
% 147.12/22.40 [2485] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.40 -> [2537] (distinct_lines(N27_68_3, N27_68_3) => (distinct_lines(N27_68_3, N27_68_3) | distinct_lines(N27_68_3, N27_68_3)))
% 147.12/22.40
% 147.12/22.40 [2537] BETA_IMPLY : (distinct_lines(N27_68_3, N27_68_3) => (distinct_lines(N27_68_3, N27_68_3) | distinct_lines(N27_68_3, N27_68_3)))
% 147.12/22.40 -> [2538] ~distinct_lines(N27_68_3, N27_68_3)
% 147.12/22.40 -> [2539] (distinct_lines(N27_68_3, N27_68_3) | distinct_lines(N27_68_3, N27_68_3))
% 147.12/22.40
% 147.12/22.40 [2539] BETA_OR : (distinct_lines(N27_68_3, N27_68_3) | distinct_lines(N27_68_3, N27_68_3))
% 147.12/22.40 -> [2598] distinct_lines(N27_68_3, N27_68_3)
% 147.12/22.40 -> [2599] distinct_lines(N27_68_3, N27_68_3)
% 147.12/22.40
% 147.12/22.40 [2599] CLOSURE : distinct_lines(N27_68_3, N27_68_3)
% 147.12/22.40
% 147.12/22.40 [2598] CLOSURE : distinct_lines(N27_68_3, N27_68_3)
% 147.12/22.40
% 147.12/22.40 [2538] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.40 -> [2625] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [2625] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.40 -> [2644] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.40
% 147.12/22.40 [2644] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.40 -> [2645] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40 -> [2646] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.40
% 147.12/22.40 [2645] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [2646] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.40 -> [2817] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40 -> [2818] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [2818] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [2817] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.40 -> [2947] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_9_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_9_6))) | (unequally_directed_lines(skolem_N7979, N34_9_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_9_6)))))
% 147.12/22.40
% 147.12/22.40 [2947] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_9_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_9_6))) | (unequally_directed_lines(skolem_N7979, N34_9_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_9_6)))))
% 147.12/22.40 -> [2948] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [2949] ((unequally_directed_lines(skolem_M7878, N34_9_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_9_6))) | (unequally_directed_lines(skolem_N7979, N34_9_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_9_6))))
% 147.12/22.40
% 147.12/22.40 [2948] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [2957] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40 -> [2958] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [2958] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [2957] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40
% 147.12/22.40 [2949] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_9_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_9_6))) | (unequally_directed_lines(skolem_N7979, N34_9_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_9_6))))
% 147.12/22.40 -> [5492] (unequally_directed_lines(skolem_M7878, N34_9_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_9_6)))
% 147.12/22.40 -> [5493] (unequally_directed_lines(skolem_N7979, N34_9_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_9_6)))
% 147.12/22.40
% 147.12/22.40 [5492] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_9_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_9_6)))
% 147.12/22.40 -> [5546] unequally_directed_lines(skolem_M7878, N34_9_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_9_6))
% 147.12/22.40
% 147.12/22.40 [5546] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.40 -> [5715] ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.12/22.40
% 147.12/22.40 [5715] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.12/22.40 -> [5716] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.12/22.40 -> [5717] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.12/22.40
% 147.12/22.40 [5716] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.12/22.40 -> [5756] ~line(skolem_L7777)
% 147.12/22.40 -> [5757] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 147.12/22.40
% 147.12/22.40 [5757] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [5835] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.40
% 147.12/22.40 [5835] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.40 -> [5839] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [5840] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40
% 147.12/22.40 [5840] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [5843] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40 -> [5844] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [5844] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [5940] ~(left_apart_point(A39_212_9, L40_212_9) | left_apart_point(A39_212_9, reverse_line(L40_212_9)))
% 147.12/22.40
% 147.12/22.40 [5940] ALPHA_NOT_OR : ~(left_apart_point(A39_212_9, L40_212_9) | left_apart_point(A39_212_9, reverse_line(L40_212_9)))
% 147.12/22.40 -> [5942] ~left_apart_point(A39_212_9, L40_212_9), ~left_apart_point(A39_212_9, reverse_line(L40_212_9))
% 147.12/22.40
% 147.12/22.40 [5942] CLOSURE : ~left_apart_point(A39_212_9, L40_212_9)
% 147.12/22.40
% 147.12/22.40 [5843] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [5957] ~(left_apart_point(A39_216_9, L40_216_9) | left_apart_point(A39_216_9, reverse_line(L40_216_9)))
% 147.12/22.40
% 147.12/22.40 [5957] ALPHA_NOT_OR : ~(left_apart_point(A39_216_9, L40_216_9) | left_apart_point(A39_216_9, reverse_line(L40_216_9)))
% 147.12/22.40 -> [5958] ~left_apart_point(A39_216_9, L40_216_9), ~left_apart_point(A39_216_9, reverse_line(L40_216_9))
% 147.12/22.40
% 147.12/22.40 [5958] CLOSURE : ~left_apart_point(A39_216_9, L40_216_9)
% 147.12/22.40
% 147.12/22.40 [5839] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [5877] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40 -> [5878] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [5878] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [5877] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40
% 147.12/22.40 [5756] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [5861] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.40
% 147.12/22.40 [5861] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.40 -> [5862] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [5863] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40
% 147.12/22.40 [5863] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [5868] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40 -> [5869] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [5869] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [5950] ~(left_apart_point(A39_215_9, L40_215_9) | left_apart_point(A39_215_9, reverse_line(L40_215_9)))
% 147.12/22.40
% 147.12/22.40 [5950] ALPHA_NOT_OR : ~(left_apart_point(A39_215_9, L40_215_9) | left_apart_point(A39_215_9, reverse_line(L40_215_9)))
% 147.12/22.40 -> [5951] ~left_apart_point(A39_215_9, L40_215_9), ~left_apart_point(A39_215_9, reverse_line(L40_215_9))
% 147.12/22.40
% 147.12/22.40 [5951] CLOSURE : ~left_apart_point(A39_215_9, L40_215_9)
% 147.12/22.40
% 147.12/22.40 [5868] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [5973] ~(left_apart_point(A39_217_9, L40_217_9) | left_apart_point(A39_217_9, reverse_line(L40_217_9)))
% 147.12/22.40
% 147.12/22.40 [5973] ALPHA_NOT_OR : ~(left_apart_point(A39_217_9, L40_217_9) | left_apart_point(A39_217_9, reverse_line(L40_217_9)))
% 147.12/22.40 -> [5976] ~left_apart_point(A39_217_9, L40_217_9), ~left_apart_point(A39_217_9, reverse_line(L40_217_9))
% 147.12/22.40
% 147.12/22.40 [5976] CLOSURE : ~left_apart_point(A39_217_9, L40_217_9)
% 147.12/22.40
% 147.12/22.40 [5862] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [5889] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40 -> [5890] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [5890] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [5889] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40
% 147.12/22.40 [5717] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.12/22.40 -> [5720] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.12/22.40 -> [5721] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.12/22.40
% 147.12/22.40 [5720] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.12/22.40
% 147.12/22.40 [5721] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [7296] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.40
% 147.12/22.40 [7296] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.12/22.40 -> [7301] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [7302] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40
% 147.12/22.40 [7301] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [7512] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40 -> [7513] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [7513] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [7512] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40
% 147.12/22.40 [7302] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.12/22.40 -> [7307] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.12/22.40 -> [7308] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [7307] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [7587] ~(left_apart_point(A39_370_9, L40_370_9) | left_apart_point(A39_370_9, reverse_line(L40_370_9)))
% 147.12/22.40
% 147.12/22.40 [7587] ALPHA_NOT_OR : ~(left_apart_point(A39_370_9, L40_370_9) | left_apart_point(A39_370_9, reverse_line(L40_370_9)))
% 147.12/22.40 -> [7589] ~left_apart_point(A39_370_9, L40_370_9), ~left_apart_point(A39_370_9, reverse_line(L40_370_9))
% 147.12/22.40
% 147.12/22.40 [7589] CLOSURE : ~left_apart_point(A39_370_9, L40_370_9)
% 147.12/22.40
% 147.12/22.40 [7308] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [7618] ~(left_apart_point(A39_376_9, L40_376_9) | left_apart_point(A39_376_9, reverse_line(L40_376_9)))
% 147.12/22.40
% 147.12/22.40 [7618] ALPHA_NOT_OR : ~(left_apart_point(A39_376_9, L40_376_9) | left_apart_point(A39_376_9, reverse_line(L40_376_9)))
% 147.12/22.40 -> [7623] ~left_apart_point(A39_376_9, L40_376_9), ~left_apart_point(A39_376_9, reverse_line(L40_376_9))
% 147.12/22.40
% 147.12/22.40 [7623] CLOSURE : ~left_apart_point(A39_376_9, L40_376_9)
% 147.12/22.40
% 147.12/22.40 [5493] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_9_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_9_6)))
% 147.12/22.40 -> [5500] unequally_directed_lines(skolem_N7979, N34_9_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_9_6))
% 147.12/22.40
% 147.12/22.40 [5500] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.12/22.40 -> [6270] ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.12/22.40
% 147.12/22.40 [6270] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.12/22.40 -> [6274] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.12/22.40 -> [6275] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.12/22.40
% 147.12/22.40 [6274] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.12/22.40 -> [6395] ~line(reverse_line(skolem_N7979))
% 147.12/22.40 -> [6396] ~line(reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [6396] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [8044] ((unequally_directed_lines(skolem_N7979, M38_242_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_242_8))) => (left_convergent_lines(skolem_N7979, M38_242_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_242_8))))
% 147.12/22.40
% 147.12/22.40 [8044] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_242_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_242_8))) => (left_convergent_lines(skolem_N7979, M38_242_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_242_8))))
% 147.12/22.40 -> [8046] ~(unequally_directed_lines(skolem_N7979, M38_242_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_242_8)))
% 147.12/22.40 -> [8047] (left_convergent_lines(skolem_N7979, M38_242_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_242_8)))
% 147.12/22.40
% 147.12/22.40 [8047] BETA_OR : (left_convergent_lines(skolem_N7979, M38_242_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_242_8)))
% 147.12/22.40 -> [8050] left_convergent_lines(skolem_N7979, M38_242_8)
% 147.12/22.40 -> [8051] left_convergent_lines(skolem_N7979, reverse_line(M38_242_8))
% 147.12/22.40
% 147.12/22.40 [8051] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [8211] ~(left_apart_point(A39_459_9, L40_459_9) | left_apart_point(A39_459_9, reverse_line(L40_459_9)))
% 147.12/22.40
% 147.12/22.40 [8211] ALPHA_NOT_OR : ~(left_apart_point(A39_459_9, L40_459_9) | left_apart_point(A39_459_9, reverse_line(L40_459_9)))
% 147.12/22.40 -> [8212] ~left_apart_point(A39_459_9, L40_459_9), ~left_apart_point(A39_459_9, reverse_line(L40_459_9))
% 147.12/22.40
% 147.12/22.40 [8212] CLOSURE : ~left_apart_point(A39_459_9, L40_459_9)
% 147.12/22.40
% 147.12/22.40 [8050] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [8258] ~(left_apart_point(A39_471_9, L40_471_9) | left_apart_point(A39_471_9, reverse_line(L40_471_9)))
% 147.12/22.40
% 147.12/22.40 [8258] ALPHA_NOT_OR : ~(left_apart_point(A39_471_9, L40_471_9) | left_apart_point(A39_471_9, reverse_line(L40_471_9)))
% 147.12/22.40 -> [8260] ~left_apart_point(A39_471_9, L40_471_9), ~left_apart_point(A39_471_9, reverse_line(L40_471_9))
% 147.12/22.40
% 147.12/22.40 [8260] CLOSURE : ~left_apart_point(A39_471_9, L40_471_9)
% 147.12/22.40
% 147.12/22.40 [8046] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_242_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_242_8)))
% 147.12/22.40 -> [8087] ~unequally_directed_lines(skolem_N7979, M38_242_8)
% 147.12/22.40 -> [8088] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_242_8))
% 147.12/22.40
% 147.12/22.40 [8088] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_242_8))
% 147.12/22.40
% 147.12/22.40 [8087] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_242_8)
% 147.12/22.40
% 147.12/22.40 [6395] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [8109] ((unequally_directed_lines(skolem_N7979, M38_248_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_248_8))) => (left_convergent_lines(skolem_N7979, M38_248_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_248_8))))
% 147.12/22.40
% 147.12/22.40 [8109] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_248_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_248_8))) => (left_convergent_lines(skolem_N7979, M38_248_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_248_8))))
% 147.12/22.40 -> [8112] ~(unequally_directed_lines(skolem_N7979, M38_248_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_248_8)))
% 147.12/22.40 -> [8113] (left_convergent_lines(skolem_N7979, M38_248_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_248_8)))
% 147.12/22.40
% 147.12/22.40 [8112] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_248_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_248_8)))
% 147.12/22.40 -> [8168] ~unequally_directed_lines(skolem_N7979, M38_248_8)
% 147.12/22.40 -> [8169] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_248_8))
% 147.12/22.40
% 147.12/22.40 [8169] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_248_8))
% 147.12/22.40
% 147.12/22.40 [8168] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_248_8)
% 147.12/22.40
% 147.12/22.40 [8113] BETA_OR : (left_convergent_lines(skolem_N7979, M38_248_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_248_8)))
% 147.12/22.40 -> [8117] left_convergent_lines(skolem_N7979, M38_248_8)
% 147.12/22.40 -> [8118] left_convergent_lines(skolem_N7979, reverse_line(M38_248_8))
% 147.12/22.40
% 147.12/22.40 [8118] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [8358] ~(left_apart_point(A39_481_9, L40_481_9) | left_apart_point(A39_481_9, reverse_line(L40_481_9)))
% 147.12/22.40
% 147.12/22.40 [8358] ALPHA_NOT_OR : ~(left_apart_point(A39_481_9, L40_481_9) | left_apart_point(A39_481_9, reverse_line(L40_481_9)))
% 147.12/22.40 -> [8362] ~left_apart_point(A39_481_9, L40_481_9), ~left_apart_point(A39_481_9, reverse_line(L40_481_9))
% 147.12/22.40
% 147.12/22.40 [8362] CLOSURE : ~left_apart_point(A39_481_9, L40_481_9)
% 147.12/22.40
% 147.12/22.40 [8117] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [8525] ~(left_apart_point(A39_512_9, L40_512_9) | left_apart_point(A39_512_9, reverse_line(L40_512_9)))
% 147.12/22.40
% 147.12/22.40 [8525] ALPHA_NOT_OR : ~(left_apart_point(A39_512_9, L40_512_9) | left_apart_point(A39_512_9, reverse_line(L40_512_9)))
% 147.12/22.40 -> [8526] ~left_apart_point(A39_512_9, L40_512_9), ~left_apart_point(A39_512_9, reverse_line(L40_512_9))
% 147.12/22.40
% 147.12/22.40 [8526] CLOSURE : ~left_apart_point(A39_512_9, L40_512_9)
% 147.12/22.40
% 147.12/22.40 [6275] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.12/22.40 -> [6286] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40 -> [6287] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 147.12/22.40
% 147.12/22.40 [6286] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [6287] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.12/22.40 -> [10437] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.40
% 147.12/22.40 [10437] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.12/22.40 -> [10440] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [10441] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40
% 147.12/22.40 [10440] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [10475] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40 -> [10476] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [10476] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [10475] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40
% 147.12/22.40 [10441] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [10445] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40 -> [10446] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [10446] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [10556] ~(left_apart_point(A39_759_9, L40_759_9) | left_apart_point(A39_759_9, reverse_line(L40_759_9)))
% 147.12/22.40
% 147.12/22.40 [10556] ALPHA_NOT_OR : ~(left_apart_point(A39_759_9, L40_759_9) | left_apart_point(A39_759_9, reverse_line(L40_759_9)))
% 147.12/22.40 -> [10558] ~left_apart_point(A39_759_9, L40_759_9), ~left_apart_point(A39_759_9, reverse_line(L40_759_9))
% 147.12/22.40
% 147.12/22.40 [10558] CLOSURE : ~left_apart_point(A39_759_9, L40_759_9)
% 147.12/22.40
% 147.12/22.40 [10445] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.12/22.40 -> [10565] ~(left_apart_point(A39_762_9, L40_762_9) | left_apart_point(A39_762_9, reverse_line(L40_762_9)))
% 147.12/22.40
% 147.12/22.40 [10565] ALPHA_NOT_OR : ~(left_apart_point(A39_762_9, L40_762_9) | left_apart_point(A39_762_9, reverse_line(L40_762_9)))
% 147.12/22.40 -> [10567] ~left_apart_point(A39_762_9, L40_762_9), ~left_apart_point(A39_762_9, reverse_line(L40_762_9))
% 147.12/22.40
% 147.12/22.40 [10567] CLOSURE : ~left_apart_point(A39_762_9, L40_762_9)
% 147.12/22.40
% 147.12/22.40 [256] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.40 -> [298] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.40
% 147.12/22.40 [298] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.12/22.40 -> [302] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.12/22.40 -> [303] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.12/22.40
% 147.12/22.40 [302] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.12/22.40 -> [386] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.40
% 147.12/22.40 [386] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.12/22.40 -> [408] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.12/22.40
% 147.12/22.40 [408] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.12/22.40 -> [460] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.40 -> [461] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.12/22.40
% 147.12/22.40 [460] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.12/22.40
% 147.12/22.40 [461] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.12/22.40 -> [3141] distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.40 -> [3142] distinct_points(skolem_A8080, skolem_B8181)
% 147.12/22.40
% 147.12/22.40 [3141] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.12/22.40
% 147.12/22.40 [3142] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.12/22.40 -> [3410] ~distinct_lines(N27_111_3, N27_111_3)
% 147.12/22.40
% 147.12/22.40 [3410] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.12/22.40 -> [3438] (distinct_lines(N27_111_3, N27_111_3) => (distinct_lines(N27_111_3, N27_111_3) | distinct_lines(N27_111_3, N27_111_3)))
% 147.12/22.40
% 147.12/22.40 [3438] BETA_IMPLY : (distinct_lines(N27_111_3, N27_111_3) => (distinct_lines(N27_111_3, N27_111_3) | distinct_lines(N27_111_3, N27_111_3)))
% 147.12/22.40 -> [3439] ~distinct_lines(N27_111_3, N27_111_3)
% 147.12/22.40 -> [3440] (distinct_lines(N27_111_3, N27_111_3) | distinct_lines(N27_111_3, N27_111_3))
% 147.12/22.40
% 147.12/22.40 [3440] BETA_OR : (distinct_lines(N27_111_3, N27_111_3) | distinct_lines(N27_111_3, N27_111_3))
% 147.12/22.40 -> [3443] distinct_lines(N27_111_3, N27_111_3)
% 147.12/22.40 -> [3444] distinct_lines(N27_111_3, N27_111_3)
% 147.12/22.40
% 147.12/22.40 [3443] CLOSURE : distinct_lines(N27_111_3, N27_111_3)
% 147.12/22.40
% 147.12/22.40 [3444] CLOSURE : distinct_lines(N27_111_3, N27_111_3)
% 147.12/22.40
% 147.12/22.40 [3439] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.12/22.40 -> [3467] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [3467] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.12/22.40 -> [3485] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.40
% 147.12/22.40 [3485] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.12/22.40 -> [3486] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40 -> [3487] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.40
% 147.12/22.40 [3486] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [3487] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.12/22.40 -> [4819] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40 -> [4820] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [4820] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [4819] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.12/22.40 -> [5967] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_82_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_82_6))) | (unequally_directed_lines(skolem_N7979, N34_82_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_82_6)))))
% 147.12/22.40
% 147.12/22.40 [5967] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_82_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_82_6))) | (unequally_directed_lines(skolem_N7979, N34_82_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_82_6)))))
% 147.12/22.40 -> [6022] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [6023] ((unequally_directed_lines(skolem_M7878, N34_82_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_82_6))) | (unequally_directed_lines(skolem_N7979, N34_82_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_82_6))))
% 147.12/22.40
% 147.12/22.40 [6022] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.12/22.40 -> [6059] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40 -> [6060] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [6059] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.12/22.40
% 147.12/22.40 [6060] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.12/22.40
% 147.12/22.40 [6023] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_82_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_82_6))) | (unequally_directed_lines(skolem_N7979, N34_82_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_82_6))))
% 147.15/22.40 -> [9434] (unequally_directed_lines(skolem_M7878, N34_82_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_82_6)))
% 147.15/22.40 -> [9435] (unequally_directed_lines(skolem_N7979, N34_82_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_82_6)))
% 147.15/22.40
% 147.15/22.40 [9435] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_82_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_82_6)))
% 147.15/22.40 -> [9442] unequally_directed_lines(skolem_N7979, N34_82_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_82_6))
% 147.15/22.40
% 147.15/22.40 [9442] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.40 -> [9475] ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.40
% 147.15/22.40 [9475] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.40 -> [9476] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.40 -> [9477] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.40
% 147.15/22.40 [9476] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.40 -> [9509] ~line(reverse_line(skolem_N7979))
% 147.15/22.40 -> [9510] ~line(reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [9510] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [9547] ((unequally_directed_lines(skolem_N7979, M38_329_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_329_8))) => (left_convergent_lines(skolem_N7979, M38_329_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_329_8))))
% 147.15/22.40
% 147.15/22.40 [9547] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_329_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_329_8))) => (left_convergent_lines(skolem_N7979, M38_329_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_329_8))))
% 147.15/22.40 -> [9550] ~(unequally_directed_lines(skolem_N7979, M38_329_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_329_8)))
% 147.15/22.40 -> [9551] (left_convergent_lines(skolem_N7979, M38_329_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_329_8)))
% 147.15/22.40
% 147.15/22.40 [9550] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_329_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_329_8)))
% 147.15/22.40 -> [9593] ~unequally_directed_lines(skolem_N7979, M38_329_8)
% 147.15/22.40 -> [9594] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_329_8))
% 147.15/22.40
% 147.15/22.40 [9594] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_329_8))
% 147.15/22.40
% 147.15/22.40 [9593] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_329_8)
% 147.15/22.40
% 147.15/22.40 [9551] BETA_OR : (left_convergent_lines(skolem_N7979, M38_329_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_329_8)))
% 147.15/22.40 -> [9554] left_convergent_lines(skolem_N7979, M38_329_8)
% 147.15/22.40 -> [9555] left_convergent_lines(skolem_N7979, reverse_line(M38_329_8))
% 147.15/22.40
% 147.15/22.40 [9555] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [9697] ~(left_apart_point(A39_645_9, L40_645_9) | left_apart_point(A39_645_9, reverse_line(L40_645_9)))
% 147.15/22.40
% 147.15/22.40 [9697] ALPHA_NOT_OR : ~(left_apart_point(A39_645_9, L40_645_9) | left_apart_point(A39_645_9, reverse_line(L40_645_9)))
% 147.15/22.40 -> [9698] ~left_apart_point(A39_645_9, L40_645_9), ~left_apart_point(A39_645_9, reverse_line(L40_645_9))
% 147.15/22.40
% 147.15/22.40 [9698] CLOSURE : ~left_apart_point(A39_645_9, L40_645_9)
% 147.15/22.40
% 147.15/22.40 [9554] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [9744] ~(left_apart_point(A39_654_9, L40_654_9) | left_apart_point(A39_654_9, reverse_line(L40_654_9)))
% 147.15/22.40
% 147.15/22.40 [9744] ALPHA_NOT_OR : ~(left_apart_point(A39_654_9, L40_654_9) | left_apart_point(A39_654_9, reverse_line(L40_654_9)))
% 147.15/22.40 -> [9748] ~left_apart_point(A39_654_9, L40_654_9), ~left_apart_point(A39_654_9, reverse_line(L40_654_9))
% 147.15/22.40
% 147.15/22.40 [9748] CLOSURE : ~left_apart_point(A39_654_9, L40_654_9)
% 147.15/22.40
% 147.15/22.40 [9509] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [9581] ((unequally_directed_lines(skolem_N7979, M38_331_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_331_8))) => (left_convergent_lines(skolem_N7979, M38_331_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_331_8))))
% 147.15/22.40
% 147.15/22.40 [9581] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_331_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_331_8))) => (left_convergent_lines(skolem_N7979, M38_331_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_331_8))))
% 147.15/22.40 -> [9582] ~(unequally_directed_lines(skolem_N7979, M38_331_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_331_8)))
% 147.15/22.40 -> [9583] (left_convergent_lines(skolem_N7979, M38_331_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_331_8)))
% 147.15/22.40
% 147.15/22.40 [9582] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_331_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_331_8)))
% 147.15/22.40 -> [9636] ~unequally_directed_lines(skolem_N7979, M38_331_8)
% 147.15/22.40 -> [9637] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_331_8))
% 147.15/22.40
% 147.15/22.40 [9637] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_331_8))
% 147.15/22.40
% 147.15/22.40 [9636] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_331_8)
% 147.15/22.40
% 147.15/22.40 [9583] BETA_OR : (left_convergent_lines(skolem_N7979, M38_331_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_331_8)))
% 147.15/22.40 -> [9586] left_convergent_lines(skolem_N7979, M38_331_8)
% 147.15/22.40 -> [9587] left_convergent_lines(skolem_N7979, reverse_line(M38_331_8))
% 147.15/22.40
% 147.15/22.40 [9587] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [9732] ~(left_apart_point(A39_652_9, L40_652_9) | left_apart_point(A39_652_9, reverse_line(L40_652_9)))
% 147.15/22.40
% 147.15/22.40 [9732] ALPHA_NOT_OR : ~(left_apart_point(A39_652_9, L40_652_9) | left_apart_point(A39_652_9, reverse_line(L40_652_9)))
% 147.15/22.40 -> [9736] ~left_apart_point(A39_652_9, L40_652_9), ~left_apart_point(A39_652_9, reverse_line(L40_652_9))
% 147.15/22.40
% 147.15/22.40 [9736] CLOSURE : ~left_apart_point(A39_652_9, L40_652_9)
% 147.15/22.40
% 147.15/22.40 [9586] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [9769] ~(left_apart_point(A39_659_9, L40_659_9) | left_apart_point(A39_659_9, reverse_line(L40_659_9)))
% 147.15/22.40
% 147.15/22.40 [9769] ALPHA_NOT_OR : ~(left_apart_point(A39_659_9, L40_659_9) | left_apart_point(A39_659_9, reverse_line(L40_659_9)))
% 147.15/22.40 -> [9773] ~left_apart_point(A39_659_9, L40_659_9), ~left_apart_point(A39_659_9, reverse_line(L40_659_9))
% 147.15/22.40
% 147.15/22.40 [9773] CLOSURE : ~left_apart_point(A39_659_9, L40_659_9)
% 147.15/22.40
% 147.15/22.40 [9477] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.40 -> [9482] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.40 -> [9483] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 147.15/22.40
% 147.15/22.40 [9482] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [9483] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [9913] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.40
% 147.15/22.40 [9913] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.40 -> [9916] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [9917] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40
% 147.15/22.40 [9917] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [9923] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40 -> [9924] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [9923] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [10013] ~(left_apart_point(A39_685_9, L40_685_9) | left_apart_point(A39_685_9, reverse_line(L40_685_9)))
% 147.15/22.40
% 147.15/22.40 [10013] ALPHA_NOT_OR : ~(left_apart_point(A39_685_9, L40_685_9) | left_apart_point(A39_685_9, reverse_line(L40_685_9)))
% 147.15/22.40 -> [10015] ~left_apart_point(A39_685_9, L40_685_9), ~left_apart_point(A39_685_9, reverse_line(L40_685_9))
% 147.15/22.40
% 147.15/22.40 [10015] CLOSURE : ~left_apart_point(A39_685_9, L40_685_9)
% 147.15/22.40
% 147.15/22.40 [9924] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [10022] ~(left_apart_point(A39_686_9, L40_686_9) | left_apart_point(A39_686_9, reverse_line(L40_686_9)))
% 147.15/22.40
% 147.15/22.40 [10022] ALPHA_NOT_OR : ~(left_apart_point(A39_686_9, L40_686_9) | left_apart_point(A39_686_9, reverse_line(L40_686_9)))
% 147.15/22.40 -> [10026] ~left_apart_point(A39_686_9, L40_686_9), ~left_apart_point(A39_686_9, reverse_line(L40_686_9))
% 147.15/22.40
% 147.15/22.40 [10026] CLOSURE : ~left_apart_point(A39_686_9, L40_686_9)
% 147.15/22.40
% 147.15/22.40 [9916] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [9948] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40 -> [9949] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [9949] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [9948] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40
% 147.15/22.40 [9434] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_82_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_82_6)))
% 147.15/22.40 -> [9446] unequally_directed_lines(skolem_M7878, N34_82_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_82_6))
% 147.15/22.40
% 147.15/22.40 [9446] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.40 -> [9489] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.40
% 147.15/22.40 [9489] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.40 -> [9490] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.40 -> [9491] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.40
% 147.15/22.40 [9490] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.40 -> [9516] ~line(reverse_line(skolem_N7979))
% 147.15/22.40 -> [9517] ~line(skolem_N7979)
% 147.15/22.40
% 147.15/22.40 [9516] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [9617] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.40
% 147.15/22.40 [9617] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [9620] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [9621] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [9620] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [9662] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40 -> [9663] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [9663] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [9662] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [9621] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [9623] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40 -> [9624] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [9623] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [9672] ~(left_apart_point(A39_642_9, L40_642_9) | left_apart_point(A39_642_9, reverse_line(L40_642_9)))
% 147.15/22.40
% 147.15/22.40 [9672] ALPHA_NOT_OR : ~(left_apart_point(A39_642_9, L40_642_9) | left_apart_point(A39_642_9, reverse_line(L40_642_9)))
% 147.15/22.40 -> [9674] ~left_apart_point(A39_642_9, L40_642_9), ~left_apart_point(A39_642_9, reverse_line(L40_642_9))
% 147.15/22.40
% 147.15/22.40 [9674] CLOSURE : ~left_apart_point(A39_642_9, L40_642_9)
% 147.15/22.40
% 147.15/22.40 [9624] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [9711] ~(left_apart_point(A39_649_9, L40_649_9) | left_apart_point(A39_649_9, reverse_line(L40_649_9)))
% 147.15/22.40
% 147.15/22.40 [9711] ALPHA_NOT_OR : ~(left_apart_point(A39_649_9, L40_649_9) | left_apart_point(A39_649_9, reverse_line(L40_649_9)))
% 147.15/22.40 -> [9713] ~left_apart_point(A39_649_9, L40_649_9), ~left_apart_point(A39_649_9, reverse_line(L40_649_9))
% 147.15/22.40
% 147.15/22.40 [9713] CLOSURE : ~left_apart_point(A39_649_9, L40_649_9)
% 147.15/22.40
% 147.15/22.40 [9517] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [9571] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.40
% 147.15/22.40 [9571] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [9574] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [9575] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [9574] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [9627] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40 -> [9628] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [9628] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [9627] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [9575] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [9579] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40 -> [9580] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [9580] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [9705] ~(left_apart_point(A39_648_9, L40_648_9) | left_apart_point(A39_648_9, reverse_line(L40_648_9)))
% 147.15/22.40
% 147.15/22.40 [9705] ALPHA_NOT_OR : ~(left_apart_point(A39_648_9, L40_648_9) | left_apart_point(A39_648_9, reverse_line(L40_648_9)))
% 147.15/22.40 -> [9706] ~left_apart_point(A39_648_9, L40_648_9), ~left_apart_point(A39_648_9, reverse_line(L40_648_9))
% 147.15/22.40
% 147.15/22.40 [9706] CLOSURE : ~left_apart_point(A39_648_9, L40_648_9)
% 147.15/22.40
% 147.15/22.40 [9579] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [9755] ~(left_apart_point(A39_656_9, L40_656_9) | left_apart_point(A39_656_9, reverse_line(L40_656_9)))
% 147.15/22.40
% 147.15/22.40 [9755] ALPHA_NOT_OR : ~(left_apart_point(A39_656_9, L40_656_9) | left_apart_point(A39_656_9, reverse_line(L40_656_9)))
% 147.15/22.40 -> [9758] ~left_apart_point(A39_656_9, L40_656_9), ~left_apart_point(A39_656_9, reverse_line(L40_656_9))
% 147.15/22.40
% 147.15/22.40 [9758] CLOSURE : ~left_apart_point(A39_656_9, L40_656_9)
% 147.15/22.40
% 147.15/22.40 [9491] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.40 -> [9498] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.40 -> [9499] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [9499] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [9498] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [9597] ((unequally_directed_lines(skolem_M7878, M38_333_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_333_8))) => (left_convergent_lines(skolem_M7878, M38_333_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_333_8))))
% 147.15/22.40
% 147.15/22.40 [9597] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_333_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_333_8))) => (left_convergent_lines(skolem_M7878, M38_333_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_333_8))))
% 147.15/22.40 -> [9600] ~(unequally_directed_lines(skolem_M7878, M38_333_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_333_8)))
% 147.15/22.40 -> [9601] (left_convergent_lines(skolem_M7878, M38_333_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_333_8)))
% 147.15/22.40
% 147.15/22.40 [9600] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_333_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_333_8)))
% 147.15/22.40 -> [9618] ~unequally_directed_lines(skolem_M7878, M38_333_8)
% 147.15/22.40 -> [9619] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_333_8))
% 147.15/22.40
% 147.15/22.40 [9619] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_333_8))
% 147.15/22.40
% 147.15/22.40 [9618] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_333_8)
% 147.15/22.40
% 147.15/22.40 [9601] BETA_OR : (left_convergent_lines(skolem_M7878, M38_333_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_333_8)))
% 147.15/22.40 -> [9605] left_convergent_lines(skolem_M7878, M38_333_8)
% 147.15/22.40 -> [9606] left_convergent_lines(skolem_M7878, reverse_line(M38_333_8))
% 147.15/22.40
% 147.15/22.40 [9605] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [9638] ~(left_apart_point(A39_635_9, L40_635_9) | left_apart_point(A39_635_9, reverse_line(L40_635_9)))
% 147.15/22.40
% 147.15/22.40 [9638] ALPHA_NOT_OR : ~(left_apart_point(A39_635_9, L40_635_9) | left_apart_point(A39_635_9, reverse_line(L40_635_9)))
% 147.15/22.40 -> [9639] ~left_apart_point(A39_635_9, L40_635_9), ~left_apart_point(A39_635_9, reverse_line(L40_635_9))
% 147.15/22.40
% 147.15/22.40 [9639] CLOSURE : ~left_apart_point(A39_635_9, L40_635_9)
% 147.15/22.40
% 147.15/22.40 [9606] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [9645] ~(left_apart_point(A39_637_9, L40_637_9) | left_apart_point(A39_637_9, reverse_line(L40_637_9)))
% 147.15/22.40
% 147.15/22.40 [9645] ALPHA_NOT_OR : ~(left_apart_point(A39_637_9, L40_637_9) | left_apart_point(A39_637_9, reverse_line(L40_637_9)))
% 147.15/22.40 -> [9647] ~left_apart_point(A39_637_9, L40_637_9), ~left_apart_point(A39_637_9, reverse_line(L40_637_9))
% 147.15/22.40
% 147.15/22.40 [9647] CLOSURE : ~left_apart_point(A39_637_9, L40_637_9)
% 147.15/22.40
% 147.15/22.40 [303] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.40 -> [602] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.40
% 147.15/22.40 [602] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.40 -> [611] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.40
% 147.15/22.40 [611] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.40 -> [612] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.40 -> [613] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.40
% 147.15/22.40 [612] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.40
% 147.15/22.40 [613] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.40 -> [1658] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.40 -> [1659] distinct_points(skolem_A8080, skolem_B8181)
% 147.15/22.40
% 147.15/22.40 [1658] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.40
% 147.15/22.40 [1659] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.40 -> [2095] ~distinct_lines(N27_48_3, N27_48_3)
% 147.15/22.40
% 147.15/22.40 [2095] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.40 -> [2155] (distinct_lines(N27_48_3, N27_48_3) => (distinct_lines(N27_48_3, N27_48_3) | distinct_lines(N27_48_3, N27_48_3)))
% 147.15/22.40
% 147.15/22.40 [2155] BETA_IMPLY : (distinct_lines(N27_48_3, N27_48_3) => (distinct_lines(N27_48_3, N27_48_3) | distinct_lines(N27_48_3, N27_48_3)))
% 147.15/22.40 -> [2156] ~distinct_lines(N27_48_3, N27_48_3)
% 147.15/22.40 -> [2157] (distinct_lines(N27_48_3, N27_48_3) | distinct_lines(N27_48_3, N27_48_3))
% 147.15/22.40
% 147.15/22.40 [2157] BETA_OR : (distinct_lines(N27_48_3, N27_48_3) | distinct_lines(N27_48_3, N27_48_3))
% 147.15/22.40 -> [2160] distinct_lines(N27_48_3, N27_48_3)
% 147.15/22.40 -> [2161] distinct_lines(N27_48_3, N27_48_3)
% 147.15/22.40
% 147.15/22.40 [2161] CLOSURE : distinct_lines(N27_48_3, N27_48_3)
% 147.15/22.40
% 147.15/22.40 [2160] CLOSURE : distinct_lines(N27_48_3, N27_48_3)
% 147.15/22.40
% 147.15/22.40 [2156] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.40 -> [2316] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [2316] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.40 -> [3134] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.40
% 147.15/22.40 [3134] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.40 -> [3135] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40 -> [3136] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.40
% 147.15/22.40 [3135] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [3136] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.40 -> [4165] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40 -> [4166] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [4166] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [4165] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.40 -> [6199] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_85_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_85_6))) | (unequally_directed_lines(skolem_N7979, N34_85_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_85_6)))))
% 147.15/22.40
% 147.15/22.40 [6199] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_85_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_85_6))) | (unequally_directed_lines(skolem_N7979, N34_85_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_85_6)))))
% 147.15/22.40 -> [6202] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [6203] ((unequally_directed_lines(skolem_M7878, N34_85_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_85_6))) | (unequally_directed_lines(skolem_N7979, N34_85_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_85_6))))
% 147.15/22.40
% 147.15/22.40 [6202] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [6317] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40 -> [6318] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [6317] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40
% 147.15/22.40 [6318] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [6203] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_85_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_85_6))) | (unequally_directed_lines(skolem_N7979, N34_85_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_85_6))))
% 147.15/22.40 -> [8455] (unequally_directed_lines(skolem_M7878, N34_85_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_85_6)))
% 147.15/22.40 -> [8456] (unequally_directed_lines(skolem_N7979, N34_85_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_85_6)))
% 147.15/22.40
% 147.15/22.40 [8456] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_85_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_85_6)))
% 147.15/22.40 -> [8459] unequally_directed_lines(skolem_N7979, N34_85_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_85_6))
% 147.15/22.40
% 147.15/22.40 [8459] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.40 -> [8527] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.40
% 147.15/22.40 [8527] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.40 -> [8529] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.40 -> [8530] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.40
% 147.15/22.40 [8529] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.40 -> [8558] ~line(skolem_L7777)
% 147.15/22.40 -> [8559] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.40
% 147.15/22.40 [8559] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [8594] ((unequally_directed_lines(skolem_N7979, M38_268_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_268_8))) => (left_convergent_lines(skolem_N7979, M38_268_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_268_8))))
% 147.15/22.40
% 147.15/22.40 [8594] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_268_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_268_8))) => (left_convergent_lines(skolem_N7979, M38_268_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_268_8))))
% 147.15/22.40 -> [8596] ~(unequally_directed_lines(skolem_N7979, M38_268_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_268_8)))
% 147.15/22.40 -> [8597] (left_convergent_lines(skolem_N7979, M38_268_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_268_8)))
% 147.15/22.40
% 147.15/22.40 [8596] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_268_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_268_8)))
% 147.15/22.40 -> [8640] ~unequally_directed_lines(skolem_N7979, M38_268_8)
% 147.15/22.40 -> [8641] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_268_8))
% 147.15/22.40
% 147.15/22.40 [8641] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_268_8))
% 147.15/22.40
% 147.15/22.40 [8640] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_268_8)
% 147.15/22.40
% 147.15/22.40 [8597] BETA_OR : (left_convergent_lines(skolem_N7979, M38_268_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_268_8)))
% 147.15/22.40 -> [8601] left_convergent_lines(skolem_N7979, M38_268_8)
% 147.15/22.40 -> [8602] left_convergent_lines(skolem_N7979, reverse_line(M38_268_8))
% 147.15/22.40
% 147.15/22.40 [8602] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [8737] ~(left_apart_point(A39_534_9, L40_534_9) | left_apart_point(A39_534_9, reverse_line(L40_534_9)))
% 147.15/22.40
% 147.15/22.40 [8737] ALPHA_NOT_OR : ~(left_apart_point(A39_534_9, L40_534_9) | left_apart_point(A39_534_9, reverse_line(L40_534_9)))
% 147.15/22.40 -> [8738] ~left_apart_point(A39_534_9, L40_534_9), ~left_apart_point(A39_534_9, reverse_line(L40_534_9))
% 147.15/22.40
% 147.15/22.40 [8738] CLOSURE : ~left_apart_point(A39_534_9, L40_534_9)
% 147.15/22.40
% 147.15/22.40 [8601] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [8819] ~(left_apart_point(A39_542_9, L40_542_9) | left_apart_point(A39_542_9, reverse_line(L40_542_9)))
% 147.15/22.40
% 147.15/22.40 [8819] ALPHA_NOT_OR : ~(left_apart_point(A39_542_9, L40_542_9) | left_apart_point(A39_542_9, reverse_line(L40_542_9)))
% 147.15/22.40 -> [8820] ~left_apart_point(A39_542_9, L40_542_9), ~left_apart_point(A39_542_9, reverse_line(L40_542_9))
% 147.15/22.40
% 147.15/22.40 [8820] CLOSURE : ~left_apart_point(A39_542_9, L40_542_9)
% 147.15/22.40
% 147.15/22.40 [8558] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [8629] ((unequally_directed_lines(skolem_N7979, M38_271_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_271_8))) => (left_convergent_lines(skolem_N7979, M38_271_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_271_8))))
% 147.15/22.40
% 147.15/22.40 [8629] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_271_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_271_8))) => (left_convergent_lines(skolem_N7979, M38_271_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_271_8))))
% 147.15/22.40 -> [8632] ~(unequally_directed_lines(skolem_N7979, M38_271_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_271_8)))
% 147.15/22.40 -> [8633] (left_convergent_lines(skolem_N7979, M38_271_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_271_8)))
% 147.15/22.40
% 147.15/22.40 [8632] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_271_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_271_8)))
% 147.15/22.40 -> [8670] ~unequally_directed_lines(skolem_N7979, M38_271_8)
% 147.15/22.40 -> [8671] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_271_8))
% 147.15/22.40
% 147.15/22.40 [8671] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_271_8))
% 147.15/22.40
% 147.15/22.40 [8670] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_271_8)
% 147.15/22.40
% 147.15/22.40 [8633] BETA_OR : (left_convergent_lines(skolem_N7979, M38_271_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_271_8)))
% 147.15/22.40 -> [8635] left_convergent_lines(skolem_N7979, M38_271_8)
% 147.15/22.40 -> [8636] left_convergent_lines(skolem_N7979, reverse_line(M38_271_8))
% 147.15/22.40
% 147.15/22.40 [8636] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [8776] ~(left_apart_point(A39_537_9, L40_537_9) | left_apart_point(A39_537_9, reverse_line(L40_537_9)))
% 147.15/22.40
% 147.15/22.40 [8776] ALPHA_NOT_OR : ~(left_apart_point(A39_537_9, L40_537_9) | left_apart_point(A39_537_9, reverse_line(L40_537_9)))
% 147.15/22.40 -> [8777] ~left_apart_point(A39_537_9, L40_537_9), ~left_apart_point(A39_537_9, reverse_line(L40_537_9))
% 147.15/22.40
% 147.15/22.40 [8777] CLOSURE : ~left_apart_point(A39_537_9, L40_537_9)
% 147.15/22.40
% 147.15/22.40 [8635] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [8806] ~(left_apart_point(A39_541_9, L40_541_9) | left_apart_point(A39_541_9, reverse_line(L40_541_9)))
% 147.15/22.40
% 147.15/22.40 [8806] ALPHA_NOT_OR : ~(left_apart_point(A39_541_9, L40_541_9) | left_apart_point(A39_541_9, reverse_line(L40_541_9)))
% 147.15/22.40 -> [8807] ~left_apart_point(A39_541_9, L40_541_9), ~left_apart_point(A39_541_9, reverse_line(L40_541_9))
% 147.15/22.40
% 147.15/22.40 [8807] CLOSURE : ~left_apart_point(A39_541_9, L40_541_9)
% 147.15/22.40
% 147.15/22.40 [8530] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.40 -> [8532] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.40 -> [8533] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.40
% 147.15/22.40 [8532] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.40
% 147.15/22.40 [8533] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [9045] ((unequally_directed_lines(skolem_N7979, M38_295_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_295_8))) => (left_convergent_lines(skolem_N7979, M38_295_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_295_8))))
% 147.15/22.40
% 147.15/22.40 [9045] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_295_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_295_8))) => (left_convergent_lines(skolem_N7979, M38_295_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_295_8))))
% 147.15/22.40 -> [9046] ~(unequally_directed_lines(skolem_N7979, M38_295_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_295_8)))
% 147.15/22.40 -> [9047] (left_convergent_lines(skolem_N7979, M38_295_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_295_8)))
% 147.15/22.40
% 147.15/22.40 [9046] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_295_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_295_8)))
% 147.15/22.40 -> [9068] ~unequally_directed_lines(skolem_N7979, M38_295_8)
% 147.15/22.40 -> [9069] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_295_8))
% 147.15/22.40
% 147.15/22.40 [9069] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_295_8))
% 147.15/22.40
% 147.15/22.40 [9068] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_295_8)
% 147.15/22.40
% 147.15/22.40 [9047] BETA_OR : (left_convergent_lines(skolem_N7979, M38_295_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_295_8)))
% 147.15/22.40 -> [9049] left_convergent_lines(skolem_N7979, M38_295_8)
% 147.15/22.40 -> [9050] left_convergent_lines(skolem_N7979, reverse_line(M38_295_8))
% 147.15/22.40
% 147.15/22.40 [9050] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [9089] ~(left_apart_point(A39_572_9, L40_572_9) | left_apart_point(A39_572_9, reverse_line(L40_572_9)))
% 147.15/22.40
% 147.15/22.40 [9089] ALPHA_NOT_OR : ~(left_apart_point(A39_572_9, L40_572_9) | left_apart_point(A39_572_9, reverse_line(L40_572_9)))
% 147.15/22.40 -> [9090] ~left_apart_point(A39_572_9, L40_572_9), ~left_apart_point(A39_572_9, reverse_line(L40_572_9))
% 147.15/22.40
% 147.15/22.40 [9090] CLOSURE : ~left_apart_point(A39_572_9, L40_572_9)
% 147.15/22.40
% 147.15/22.40 [9049] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [9112] ~(left_apart_point(A39_573_9, L40_573_9) | left_apart_point(A39_573_9, reverse_line(L40_573_9)))
% 147.15/22.40
% 147.15/22.40 [9112] ALPHA_NOT_OR : ~(left_apart_point(A39_573_9, L40_573_9) | left_apart_point(A39_573_9, reverse_line(L40_573_9)))
% 147.15/22.40 -> [9113] ~left_apart_point(A39_573_9, L40_573_9), ~left_apart_point(A39_573_9, reverse_line(L40_573_9))
% 147.15/22.40
% 147.15/22.40 [9113] CLOSURE : ~left_apart_point(A39_573_9, L40_573_9)
% 147.15/22.40
% 147.15/22.40 [8455] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_85_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_85_6)))
% 147.15/22.40 -> [8482] unequally_directed_lines(skolem_M7878, N34_85_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_85_6))
% 147.15/22.40
% 147.15/22.40 [8482] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.40 -> [8539] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.40
% 147.15/22.40 [8539] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.40 -> [8540] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.40 -> [8541] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.40
% 147.15/22.40 [8540] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.40 -> [8571] ~line(reverse_line(skolem_N7979))
% 147.15/22.40 -> [8572] ~line(skolem_N7979)
% 147.15/22.40
% 147.15/22.40 [8572] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [8620] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.40
% 147.15/22.40 [8620] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [8622] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [8623] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [8622] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [8747] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40 -> [8748] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [8748] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [8747] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [8623] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [8624] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40 -> [8625] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [8624] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [8781] ~(left_apart_point(A39_538_9, L40_538_9) | left_apart_point(A39_538_9, reverse_line(L40_538_9)))
% 147.15/22.40
% 147.15/22.40 [8781] ALPHA_NOT_OR : ~(left_apart_point(A39_538_9, L40_538_9) | left_apart_point(A39_538_9, reverse_line(L40_538_9)))
% 147.15/22.40 -> [8782] ~left_apart_point(A39_538_9, L40_538_9), ~left_apart_point(A39_538_9, reverse_line(L40_538_9))
% 147.15/22.40
% 147.15/22.40 [8782] CLOSURE : ~left_apart_point(A39_538_9, L40_538_9)
% 147.15/22.40
% 147.15/22.40 [8625] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [8853] ~(left_apart_point(A39_543_9, L40_543_9) | left_apart_point(A39_543_9, reverse_line(L40_543_9)))
% 147.15/22.40
% 147.15/22.40 [8853] ALPHA_NOT_OR : ~(left_apart_point(A39_543_9, L40_543_9) | left_apart_point(A39_543_9, reverse_line(L40_543_9)))
% 147.15/22.40 -> [8854] ~left_apart_point(A39_543_9, L40_543_9), ~left_apart_point(A39_543_9, reverse_line(L40_543_9))
% 147.15/22.40
% 147.15/22.40 [8854] CLOSURE : ~left_apart_point(A39_543_9, L40_543_9)
% 147.15/22.40
% 147.15/22.40 [8571] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [8752] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.40
% 147.15/22.40 [8752] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [8754] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [8755] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [8755] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [8758] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40 -> [8759] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [8759] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [8990] ~(left_apart_point(A39_558_9, L40_558_9) | left_apart_point(A39_558_9, reverse_line(L40_558_9)))
% 147.15/22.40
% 147.15/22.40 [8990] ALPHA_NOT_OR : ~(left_apart_point(A39_558_9, L40_558_9) | left_apart_point(A39_558_9, reverse_line(L40_558_9)))
% 147.15/22.40 -> [8993] ~left_apart_point(A39_558_9, L40_558_9), ~left_apart_point(A39_558_9, reverse_line(L40_558_9))
% 147.15/22.40
% 147.15/22.40 [8993] CLOSURE : ~left_apart_point(A39_558_9, L40_558_9)
% 147.15/22.40
% 147.15/22.40 [8758] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [9000] ~(left_apart_point(A39_560_9, L40_560_9) | left_apart_point(A39_560_9, reverse_line(L40_560_9)))
% 147.15/22.40
% 147.15/22.40 [9000] ALPHA_NOT_OR : ~(left_apart_point(A39_560_9, L40_560_9) | left_apart_point(A39_560_9, reverse_line(L40_560_9)))
% 147.15/22.40 -> [9002] ~left_apart_point(A39_560_9, L40_560_9), ~left_apart_point(A39_560_9, reverse_line(L40_560_9))
% 147.15/22.40
% 147.15/22.40 [9002] CLOSURE : ~left_apart_point(A39_560_9, L40_560_9)
% 147.15/22.40
% 147.15/22.40 [8754] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [8791] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40 -> [8792] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [8792] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [8791] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [8541] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.40 -> [8543] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.40 -> [8544] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [8544] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [8543] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [9322] ((unequally_directed_lines(skolem_M7878, M38_313_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_313_8))) => (left_convergent_lines(skolem_M7878, M38_313_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_313_8))))
% 147.15/22.40
% 147.15/22.40 [9322] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_313_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_313_8))) => (left_convergent_lines(skolem_M7878, M38_313_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_313_8))))
% 147.15/22.40 -> [9324] ~(unequally_directed_lines(skolem_M7878, M38_313_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_313_8)))
% 147.15/22.40 -> [9325] (left_convergent_lines(skolem_M7878, M38_313_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_313_8)))
% 147.15/22.40
% 147.15/22.40 [9325] BETA_OR : (left_convergent_lines(skolem_M7878, M38_313_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_313_8)))
% 147.15/22.40 -> [9329] left_convergent_lines(skolem_M7878, M38_313_8)
% 147.15/22.40 -> [9330] left_convergent_lines(skolem_M7878, reverse_line(M38_313_8))
% 147.15/22.40
% 147.15/22.40 [9329] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [9589] ~(left_apart_point(A39_629_9, L40_629_9) | left_apart_point(A39_629_9, reverse_line(L40_629_9)))
% 147.15/22.40
% 147.15/22.40 [9589] ALPHA_NOT_OR : ~(left_apart_point(A39_629_9, L40_629_9) | left_apart_point(A39_629_9, reverse_line(L40_629_9)))
% 147.15/22.40 -> [9590] ~left_apart_point(A39_629_9, L40_629_9), ~left_apart_point(A39_629_9, reverse_line(L40_629_9))
% 147.15/22.40
% 147.15/22.40 [9590] CLOSURE : ~left_apart_point(A39_629_9, L40_629_9)
% 147.15/22.40
% 147.15/22.40 [9330] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [9689] ~(left_apart_point(A39_644_9, L40_644_9) | left_apart_point(A39_644_9, reverse_line(L40_644_9)))
% 147.15/22.40
% 147.15/22.40 [9689] ALPHA_NOT_OR : ~(left_apart_point(A39_644_9, L40_644_9) | left_apart_point(A39_644_9, reverse_line(L40_644_9)))
% 147.15/22.40 -> [9690] ~left_apart_point(A39_644_9, L40_644_9), ~left_apart_point(A39_644_9, reverse_line(L40_644_9))
% 147.15/22.40
% 147.15/22.40 [9690] CLOSURE : ~left_apart_point(A39_644_9, L40_644_9)
% 147.15/22.40
% 147.15/22.40 [9324] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_313_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_313_8)))
% 147.15/22.40 -> [9335] ~unequally_directed_lines(skolem_M7878, M38_313_8)
% 147.15/22.40 -> [9336] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_313_8))
% 147.15/22.40
% 147.15/22.40 [9336] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_313_8))
% 147.15/22.40
% 147.15/22.40 [9335] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_313_8)
% 147.15/22.40
% 147.15/22.40 [194] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [224] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.40 -> [225] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [225] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [233] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [233] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [240] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.40 -> [241] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [241] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [247] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [247] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [249] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.40 -> [250] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [250] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [249] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [240] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [257] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.40 -> [258] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [258] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [257] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [224] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [260] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.40 -> [261] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [261] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [276] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [276] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.40 -> [282] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.15/22.40 -> [283] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [282] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [435] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.40 -> [436] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [436] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [435] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [283] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.40 -> [348] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [348] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [351] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.40 -> [352] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [351] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [352] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [260] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.40 -> [1325] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.15/22.40 -> [1326] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [1325] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.40 -> [1356] ~distinct_points(A20_104_0, A20_104_0)
% 147.15/22.40
% 147.15/22.40 [1356] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.40 -> [1387] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.40
% 147.15/22.40 [1387] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.40 -> [1388] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.40 -> [1389] (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.40
% 147.15/22.40 [1388] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.40
% 147.15/22.40 [1389] BETA_OR : (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.40 -> [2068] distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.40 -> [2069] distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.40
% 147.15/22.40 [2068] CLOSURE : distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.40
% 147.15/22.40 [2069] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.40 -> [2821] ~distinct_lines(N27_82_3, N27_82_3)
% 147.15/22.40
% 147.15/22.40 [2821] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.40 -> [2870] (distinct_lines(N27_82_3, N27_82_3) => (distinct_lines(N27_82_3, N27_82_3) | distinct_lines(N27_82_3, N27_82_3)))
% 147.15/22.40
% 147.15/22.40 [2870] BETA_IMPLY : (distinct_lines(N27_82_3, N27_82_3) => (distinct_lines(N27_82_3, N27_82_3) | distinct_lines(N27_82_3, N27_82_3)))
% 147.15/22.40 -> [2873] ~distinct_lines(N27_82_3, N27_82_3)
% 147.15/22.40 -> [2874] (distinct_lines(N27_82_3, N27_82_3) | distinct_lines(N27_82_3, N27_82_3))
% 147.15/22.40
% 147.15/22.40 [2874] BETA_OR : (distinct_lines(N27_82_3, N27_82_3) | distinct_lines(N27_82_3, N27_82_3))
% 147.15/22.40 -> [2880] distinct_lines(N27_82_3, N27_82_3)
% 147.15/22.40 -> [2881] distinct_lines(N27_82_3, N27_82_3)
% 147.15/22.40
% 147.15/22.40 [2880] CLOSURE : distinct_lines(N27_82_3, N27_82_3)
% 147.15/22.40
% 147.15/22.40 [2881] CLOSURE : distinct_lines(N27_82_3, N27_82_3)
% 147.15/22.40
% 147.15/22.40 [2873] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.40 -> [2916] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [2916] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.40 -> [2979] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.40
% 147.15/22.40 [2979] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.40 -> [3029] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40 -> [3030] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.40
% 147.15/22.40 [3029] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [3030] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.40 -> [3658] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40 -> [3659] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [3659] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [3658] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.40 -> [3689] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_23_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_23_6))) | (unequally_directed_lines(skolem_N7979, N34_23_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_23_6)))))
% 147.15/22.40
% 147.15/22.40 [3689] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_23_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_23_6))) | (unequally_directed_lines(skolem_N7979, N34_23_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_23_6)))))
% 147.15/22.40 -> [3690] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [3691] ((unequally_directed_lines(skolem_M7878, N34_23_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_23_6))) | (unequally_directed_lines(skolem_N7979, N34_23_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_23_6))))
% 147.15/22.40
% 147.15/22.40 [3690] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [3696] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40 -> [3697] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [3697] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [3696] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40
% 147.15/22.40 [3691] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_23_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_23_6))) | (unequally_directed_lines(skolem_N7979, N34_23_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_23_6))))
% 147.15/22.40 -> [3734] (unequally_directed_lines(skolem_M7878, N34_23_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_23_6)))
% 147.15/22.40 -> [3735] (unequally_directed_lines(skolem_N7979, N34_23_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_23_6)))
% 147.15/22.40
% 147.15/22.40 [3734] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_23_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_23_6)))
% 147.15/22.40 -> [3739] unequally_directed_lines(skolem_M7878, N34_23_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_23_6))
% 147.15/22.40
% 147.15/22.40 [3739] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.40 -> [3757] ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.40
% 147.15/22.40 [3757] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.40 -> [3758] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.40 -> [3759] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.40
% 147.15/22.40 [3758] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.40 -> [3769] ~line(reverse_line(skolem_N7979))
% 147.15/22.40 -> [3770] ~line(reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [3769] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [3831] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.40
% 147.15/22.40 [3831] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [3832] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [3833] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [3832] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [3932] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40 -> [3933] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [3933] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [3932] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [3833] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [3835] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40 -> [3836] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [3835] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [3956] ~(left_apart_point(A39_49_9, L40_49_9) | left_apart_point(A39_49_9, reverse_line(L40_49_9)))
% 147.15/22.40
% 147.15/22.40 [3956] ALPHA_NOT_OR : ~(left_apart_point(A39_49_9, L40_49_9) | left_apart_point(A39_49_9, reverse_line(L40_49_9)))
% 147.15/22.40 -> [3959] ~left_apart_point(A39_49_9, L40_49_9), ~left_apart_point(A39_49_9, reverse_line(L40_49_9))
% 147.15/22.40
% 147.15/22.40 [3959] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [3998] ~(left_convergent_lines(L41_7_10, M42_7_10) | left_convergent_lines(L41_7_10, reverse_line(M42_7_10)))
% 147.15/22.40
% 147.15/22.40 [3998] ALPHA_NOT_OR : ~(left_convergent_lines(L41_7_10, M42_7_10) | left_convergent_lines(L41_7_10, reverse_line(M42_7_10)))
% 147.15/22.40 -> [4000] ~left_convergent_lines(L41_7_10, M42_7_10), ~left_convergent_lines(L41_7_10, reverse_line(M42_7_10))
% 147.15/22.40
% 147.15/22.40 [4000] CLOSURE : ~left_convergent_lines(L41_7_10, M42_7_10)
% 147.15/22.40
% 147.15/22.40 [3836] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [3966] ~(left_apart_point(A39_50_9, L40_50_9) | left_apart_point(A39_50_9, reverse_line(L40_50_9)))
% 147.15/22.40
% 147.15/22.40 [3966] ALPHA_NOT_OR : ~(left_apart_point(A39_50_9, L40_50_9) | left_apart_point(A39_50_9, reverse_line(L40_50_9)))
% 147.15/22.40 -> [3967] ~left_apart_point(A39_50_9, L40_50_9), ~left_apart_point(A39_50_9, reverse_line(L40_50_9))
% 147.15/22.40
% 147.15/22.40 [3967] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [4006] ~(left_convergent_lines(L41_8_10, M42_8_10) | left_convergent_lines(L41_8_10, reverse_line(M42_8_10)))
% 147.15/22.40
% 147.15/22.40 [4006] ALPHA_NOT_OR : ~(left_convergent_lines(L41_8_10, M42_8_10) | left_convergent_lines(L41_8_10, reverse_line(M42_8_10)))
% 147.15/22.40 -> [4007] ~left_convergent_lines(L41_8_10, M42_8_10), ~left_convergent_lines(L41_8_10, reverse_line(M42_8_10))
% 147.15/22.40
% 147.15/22.40 [4007] CLOSURE : ~left_convergent_lines(L41_8_10, M42_8_10)
% 147.15/22.40
% 147.15/22.40 [3770] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [3802] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.40
% 147.15/22.40 [3802] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [3803] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [3804] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [3803] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [3839] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40 -> [3840] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [3840] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [3839] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [3804] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [3808] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40 -> [3809] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [3808] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [3941] ~(left_apart_point(A39_45_9, L40_45_9) | left_apart_point(A39_45_9, reverse_line(L40_45_9)))
% 147.15/22.40
% 147.15/22.40 [3941] ALPHA_NOT_OR : ~(left_apart_point(A39_45_9, L40_45_9) | left_apart_point(A39_45_9, reverse_line(L40_45_9)))
% 147.15/22.40 -> [3942] ~left_apart_point(A39_45_9, L40_45_9), ~left_apart_point(A39_45_9, reverse_line(L40_45_9))
% 147.15/22.40
% 147.15/22.40 [3942] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [3950] ~(left_convergent_lines(L41_6_10, M42_6_10) | left_convergent_lines(L41_6_10, reverse_line(M42_6_10)))
% 147.15/22.40
% 147.15/22.40 [3950] ALPHA_NOT_OR : ~(left_convergent_lines(L41_6_10, M42_6_10) | left_convergent_lines(L41_6_10, reverse_line(M42_6_10)))
% 147.15/22.40 -> [3952] ~left_convergent_lines(L41_6_10, M42_6_10), ~left_convergent_lines(L41_6_10, reverse_line(M42_6_10))
% 147.15/22.40
% 147.15/22.40 [3952] CLOSURE : ~left_convergent_lines(L41_6_10, M42_6_10)
% 147.15/22.40
% 147.15/22.40 [3809] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [3974] ~(left_apart_point(A39_51_9, L40_51_9) | left_apart_point(A39_51_9, reverse_line(L40_51_9)))
% 147.15/22.40
% 147.15/22.40 [3974] ALPHA_NOT_OR : ~(left_apart_point(A39_51_9, L40_51_9) | left_apart_point(A39_51_9, reverse_line(L40_51_9)))
% 147.15/22.40 -> [3975] ~left_apart_point(A39_51_9, L40_51_9), ~left_apart_point(A39_51_9, reverse_line(L40_51_9))
% 147.15/22.40
% 147.15/22.40 [3975] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [4116] ~(left_convergent_lines(L41_10_10, M42_10_10) | left_convergent_lines(L41_10_10, reverse_line(M42_10_10)))
% 147.15/22.40
% 147.15/22.40 [4116] ALPHA_NOT_OR : ~(left_convergent_lines(L41_10_10, M42_10_10) | left_convergent_lines(L41_10_10, reverse_line(M42_10_10)))
% 147.15/22.40 -> [4118] ~left_convergent_lines(L41_10_10, M42_10_10), ~left_convergent_lines(L41_10_10, reverse_line(M42_10_10))
% 147.15/22.40
% 147.15/22.40 [4118] CLOSURE : ~left_convergent_lines(L41_10_10, M42_10_10)
% 147.15/22.40
% 147.15/22.40 [3759] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.40 -> [3760] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.40 -> [3761] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 147.15/22.40
% 147.15/22.40 [3760] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [3761] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [4682] ((unequally_directed_lines(skolem_M7878, M38_53_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_53_8))) => (left_convergent_lines(skolem_M7878, M38_53_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_53_8))))
% 147.15/22.40
% 147.15/22.40 [4682] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_53_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_53_8))) => (left_convergent_lines(skolem_M7878, M38_53_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_53_8))))
% 147.15/22.40 -> [4684] ~(unequally_directed_lines(skolem_M7878, M38_53_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_53_8)))
% 147.15/22.40 -> [4685] (left_convergent_lines(skolem_M7878, M38_53_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_53_8)))
% 147.15/22.40
% 147.15/22.40 [4684] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_53_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_53_8)))
% 147.15/22.40 -> [4703] ~unequally_directed_lines(skolem_M7878, M38_53_8)
% 147.15/22.40 -> [4704] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_53_8))
% 147.15/22.40
% 147.15/22.40 [4704] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_53_8))
% 147.15/22.40
% 147.15/22.40 [4703] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_53_8)
% 147.15/22.40
% 147.15/22.40 [4685] BETA_OR : (left_convergent_lines(skolem_M7878, M38_53_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_53_8)))
% 147.15/22.40 -> [4689] left_convergent_lines(skolem_M7878, M38_53_8)
% 147.15/22.40 -> [4690] left_convergent_lines(skolem_M7878, reverse_line(M38_53_8))
% 147.15/22.40
% 147.15/22.40 [4690] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [4741] ~(left_apart_point(A39_102_9, L40_102_9) | left_apart_point(A39_102_9, reverse_line(L40_102_9)))
% 147.15/22.40
% 147.15/22.40 [4741] ALPHA_NOT_OR : ~(left_apart_point(A39_102_9, L40_102_9) | left_apart_point(A39_102_9, reverse_line(L40_102_9)))
% 147.15/22.40 -> [4742] ~left_apart_point(A39_102_9, L40_102_9), ~left_apart_point(A39_102_9, reverse_line(L40_102_9))
% 147.15/22.40
% 147.15/22.40 [4742] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [5386] ~(left_convergent_lines(L41_26_10, M42_26_10) | left_convergent_lines(L41_26_10, reverse_line(M42_26_10)))
% 147.15/22.40
% 147.15/22.40 [5386] ALPHA_NOT_OR : ~(left_convergent_lines(L41_26_10, M42_26_10) | left_convergent_lines(L41_26_10, reverse_line(M42_26_10)))
% 147.15/22.40 -> [5387] ~left_convergent_lines(L41_26_10, M42_26_10), ~left_convergent_lines(L41_26_10, reverse_line(M42_26_10))
% 147.15/22.40
% 147.15/22.40 [5387] CLOSURE : ~left_convergent_lines(L41_26_10, M42_26_10)
% 147.15/22.40
% 147.15/22.40 [4689] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [4750] ~(left_apart_point(A39_103_9, L40_103_9) | left_apart_point(A39_103_9, reverse_line(L40_103_9)))
% 147.15/22.40
% 147.15/22.40 [4750] ALPHA_NOT_OR : ~(left_apart_point(A39_103_9, L40_103_9) | left_apart_point(A39_103_9, reverse_line(L40_103_9)))
% 147.15/22.40 -> [4751] ~left_apart_point(A39_103_9, L40_103_9), ~left_apart_point(A39_103_9, reverse_line(L40_103_9))
% 147.15/22.40
% 147.15/22.40 [4751] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [5390] ~(left_convergent_lines(L41_27_10, M42_27_10) | left_convergent_lines(L41_27_10, reverse_line(M42_27_10)))
% 147.15/22.40
% 147.15/22.40 [5390] ALPHA_NOT_OR : ~(left_convergent_lines(L41_27_10, M42_27_10) | left_convergent_lines(L41_27_10, reverse_line(M42_27_10)))
% 147.15/22.40 -> [5391] ~left_convergent_lines(L41_27_10, M42_27_10), ~left_convergent_lines(L41_27_10, reverse_line(M42_27_10))
% 147.15/22.40
% 147.15/22.40 [5391] CLOSURE : ~left_convergent_lines(L41_27_10, M42_27_10)
% 147.15/22.40
% 147.15/22.40 [3735] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_23_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_23_6)))
% 147.15/22.40 -> [3736] unequally_directed_lines(skolem_N7979, N34_23_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_23_6))
% 147.15/22.40
% 147.15/22.40 [3736] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.40 -> [3746] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.40
% 147.15/22.40 [3746] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.40 -> [3748] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.40 -> [3749] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.40
% 147.15/22.40 [3748] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.40 -> [3762] ~line(skolem_L7777)
% 147.15/22.40 -> [3763] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.40
% 147.15/22.40 [3762] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [3816] ((unequally_directed_lines(skolem_N7979, M38_25_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_25_8))) => (left_convergent_lines(skolem_N7979, M38_25_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_25_8))))
% 147.15/22.40
% 147.15/22.40 [3816] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_25_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_25_8))) => (left_convergent_lines(skolem_N7979, M38_25_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_25_8))))
% 147.15/22.40 -> [3817] ~(unequally_directed_lines(skolem_N7979, M38_25_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_25_8)))
% 147.15/22.40 -> [3818] (left_convergent_lines(skolem_N7979, M38_25_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_25_8)))
% 147.15/22.40
% 147.15/22.40 [3817] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_25_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_25_8)))
% 147.15/22.40 -> [3987] ~unequally_directed_lines(skolem_N7979, M38_25_8)
% 147.15/22.40 -> [3988] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_25_8))
% 147.15/22.40
% 147.15/22.40 [3988] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_25_8))
% 147.15/22.40
% 147.15/22.40 [3987] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_25_8)
% 147.15/22.40
% 147.15/22.40 [3818] BETA_OR : (left_convergent_lines(skolem_N7979, M38_25_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_25_8)))
% 147.15/22.40 -> [3820] left_convergent_lines(skolem_N7979, M38_25_8)
% 147.15/22.40 -> [3821] left_convergent_lines(skolem_N7979, reverse_line(M38_25_8))
% 147.15/22.40
% 147.15/22.40 [3821] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [4130] ~(left_apart_point(A39_55_9, L40_55_9) | left_apart_point(A39_55_9, reverse_line(L40_55_9)))
% 147.15/22.40
% 147.15/22.40 [4130] ALPHA_NOT_OR : ~(left_apart_point(A39_55_9, L40_55_9) | left_apart_point(A39_55_9, reverse_line(L40_55_9)))
% 147.15/22.40 -> [4131] ~left_apart_point(A39_55_9, L40_55_9), ~left_apart_point(A39_55_9, reverse_line(L40_55_9))
% 147.15/22.40
% 147.15/22.40 [4131] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [4163] ~(left_convergent_lines(L41_11_10, M42_11_10) | left_convergent_lines(L41_11_10, reverse_line(M42_11_10)))
% 147.15/22.40
% 147.15/22.40 [4163] ALPHA_NOT_OR : ~(left_convergent_lines(L41_11_10, M42_11_10) | left_convergent_lines(L41_11_10, reverse_line(M42_11_10)))
% 147.15/22.40 -> [4164] ~left_convergent_lines(L41_11_10, M42_11_10), ~left_convergent_lines(L41_11_10, reverse_line(M42_11_10))
% 147.15/22.40
% 147.15/22.40 [4164] CLOSURE : ~left_convergent_lines(L41_11_10, M42_11_10)
% 147.15/22.40
% 147.15/22.40 [3820] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [4201] ~(left_apart_point(A39_62_9, L40_62_9) | left_apart_point(A39_62_9, reverse_line(L40_62_9)))
% 147.15/22.40
% 147.15/22.40 [4201] ALPHA_NOT_OR : ~(left_apart_point(A39_62_9, L40_62_9) | left_apart_point(A39_62_9, reverse_line(L40_62_9)))
% 147.15/22.40 -> [4202] ~left_apart_point(A39_62_9, L40_62_9), ~left_apart_point(A39_62_9, reverse_line(L40_62_9))
% 147.15/22.40
% 147.15/22.40 [4202] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [4501] ~(left_convergent_lines(L41_13_10, M42_13_10) | left_convergent_lines(L41_13_10, reverse_line(M42_13_10)))
% 147.15/22.40
% 147.15/22.40 [4501] ALPHA_NOT_OR : ~(left_convergent_lines(L41_13_10, M42_13_10) | left_convergent_lines(L41_13_10, reverse_line(M42_13_10)))
% 147.15/22.40 -> [4502] ~left_convergent_lines(L41_13_10, M42_13_10), ~left_convergent_lines(L41_13_10, reverse_line(M42_13_10))
% 147.15/22.40
% 147.15/22.40 [4502] CLOSURE : ~left_convergent_lines(L41_13_10, M42_13_10)
% 147.15/22.40
% 147.15/22.40 [3763] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [3786] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.40
% 147.15/22.40 [3786] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.40 -> [3787] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [3788] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40
% 147.15/22.40 [3787] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [3825] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40 -> [3826] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [3825] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40
% 147.15/22.40 [3826] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [3788] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [3795] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40 -> [3796] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [3795] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [4068] ~(left_apart_point(A39_52_9, L40_52_9) | left_apart_point(A39_52_9, reverse_line(L40_52_9)))
% 147.15/22.40
% 147.15/22.40 [4068] ALPHA_NOT_OR : ~(left_apart_point(A39_52_9, L40_52_9) | left_apart_point(A39_52_9, reverse_line(L40_52_9)))
% 147.15/22.40 -> [4071] ~left_apart_point(A39_52_9, L40_52_9), ~left_apart_point(A39_52_9, reverse_line(L40_52_9))
% 147.15/22.40
% 147.15/22.40 [4071] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [4090] ~(left_convergent_lines(L41_9_10, M42_9_10) | left_convergent_lines(L41_9_10, reverse_line(M42_9_10)))
% 147.15/22.40
% 147.15/22.40 [4090] ALPHA_NOT_OR : ~(left_convergent_lines(L41_9_10, M42_9_10) | left_convergent_lines(L41_9_10, reverse_line(M42_9_10)))
% 147.15/22.40 -> [4091] ~left_convergent_lines(L41_9_10, M42_9_10), ~left_convergent_lines(L41_9_10, reverse_line(M42_9_10))
% 147.15/22.40
% 147.15/22.40 [4091] CLOSURE : ~left_convergent_lines(L41_9_10, M42_9_10)
% 147.15/22.40
% 147.15/22.40 [3796] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [4092] ~(left_apart_point(A39_53_9, L40_53_9) | left_apart_point(A39_53_9, reverse_line(L40_53_9)))
% 147.15/22.40
% 147.15/22.40 [4092] ALPHA_NOT_OR : ~(left_apart_point(A39_53_9, L40_53_9) | left_apart_point(A39_53_9, reverse_line(L40_53_9)))
% 147.15/22.40 -> [4093] ~left_apart_point(A39_53_9, L40_53_9), ~left_apart_point(A39_53_9, reverse_line(L40_53_9))
% 147.15/22.40
% 147.15/22.40 [4093] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [4200] ~(left_convergent_lines(L41_12_10, M42_12_10) | left_convergent_lines(L41_12_10, reverse_line(M42_12_10)))
% 147.15/22.40
% 147.15/22.40 [4200] ALPHA_NOT_OR : ~(left_convergent_lines(L41_12_10, M42_12_10) | left_convergent_lines(L41_12_10, reverse_line(M42_12_10)))
% 147.15/22.40 -> [4575] ~left_convergent_lines(L41_12_10, M42_12_10), ~left_convergent_lines(L41_12_10, reverse_line(M42_12_10))
% 147.15/22.40
% 147.15/22.40 [4575] CLOSURE : ~left_convergent_lines(L41_12_10, M42_12_10)
% 147.15/22.40
% 147.15/22.40 [3749] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.40 -> [3753] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.40 -> [3754] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.40
% 147.15/22.40 [3753] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.40
% 147.15/22.40 [3754] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [5145] ((unequally_directed_lines(skolem_N7979, M38_81_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_81_8))) => (left_convergent_lines(skolem_N7979, M38_81_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_81_8))))
% 147.15/22.40
% 147.15/22.40 [5145] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_81_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_81_8))) => (left_convergent_lines(skolem_N7979, M38_81_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_81_8))))
% 147.15/22.40 -> [5148] ~(unequally_directed_lines(skolem_N7979, M38_81_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_81_8)))
% 147.15/22.40 -> [5149] (left_convergent_lines(skolem_N7979, M38_81_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_81_8)))
% 147.15/22.40
% 147.15/22.40 [5148] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_81_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_81_8)))
% 147.15/22.40 -> [5164] ~unequally_directed_lines(skolem_N7979, M38_81_8)
% 147.15/22.40 -> [5165] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_81_8))
% 147.15/22.40
% 147.15/22.40 [5165] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_81_8))
% 147.15/22.40
% 147.15/22.40 [5164] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_81_8)
% 147.15/22.40
% 147.15/22.40 [5149] BETA_OR : (left_convergent_lines(skolem_N7979, M38_81_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_81_8)))
% 147.15/22.40 -> [5151] left_convergent_lines(skolem_N7979, M38_81_8)
% 147.15/22.40 -> [5152] left_convergent_lines(skolem_N7979, reverse_line(M38_81_8))
% 147.15/22.40
% 147.15/22.40 [5152] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [5229] ~(left_apart_point(A39_153_9, L40_153_9) | left_apart_point(A39_153_9, reverse_line(L40_153_9)))
% 147.15/22.40
% 147.15/22.40 [5229] ALPHA_NOT_OR : ~(left_apart_point(A39_153_9, L40_153_9) | left_apart_point(A39_153_9, reverse_line(L40_153_9)))
% 147.15/22.40 -> [5232] ~left_apart_point(A39_153_9, L40_153_9), ~left_apart_point(A39_153_9, reverse_line(L40_153_9))
% 147.15/22.40
% 147.15/22.40 [5232] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [5432] ~(left_convergent_lines(L41_30_10, M42_30_10) | left_convergent_lines(L41_30_10, reverse_line(M42_30_10)))
% 147.15/22.40
% 147.15/22.40 [5432] ALPHA_NOT_OR : ~(left_convergent_lines(L41_30_10, M42_30_10) | left_convergent_lines(L41_30_10, reverse_line(M42_30_10)))
% 147.15/22.40 -> [5433] ~left_convergent_lines(L41_30_10, M42_30_10), ~left_convergent_lines(L41_30_10, reverse_line(M42_30_10))
% 147.15/22.40
% 147.15/22.40 [5433] CLOSURE : ~left_convergent_lines(L41_30_10, M42_30_10)
% 147.15/22.40
% 147.15/22.40 [5151] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [5275] ~(left_apart_point(A39_156_9, L40_156_9) | left_apart_point(A39_156_9, reverse_line(L40_156_9)))
% 147.15/22.40
% 147.15/22.40 [5275] ALPHA_NOT_OR : ~(left_apart_point(A39_156_9, L40_156_9) | left_apart_point(A39_156_9, reverse_line(L40_156_9)))
% 147.15/22.40 -> [5276] ~left_apart_point(A39_156_9, L40_156_9), ~left_apart_point(A39_156_9, reverse_line(L40_156_9))
% 147.15/22.40
% 147.15/22.40 [5276] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [5463] ~(left_convergent_lines(L41_31_10, M42_31_10) | left_convergent_lines(L41_31_10, reverse_line(M42_31_10)))
% 147.15/22.40
% 147.15/22.40 [5463] ALPHA_NOT_OR : ~(left_convergent_lines(L41_31_10, M42_31_10) | left_convergent_lines(L41_31_10, reverse_line(M42_31_10)))
% 147.15/22.40 -> [5465] ~left_convergent_lines(L41_31_10, M42_31_10), ~left_convergent_lines(L41_31_10, reverse_line(M42_31_10))
% 147.15/22.40
% 147.15/22.40 [5465] CLOSURE : ~left_convergent_lines(L41_31_10, M42_31_10)
% 147.15/22.40
% 147.15/22.40 [1326] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.40 -> [1328] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [1328] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.40 -> [1329] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.40 -> [1330] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [1330] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.40 -> [1357] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.40
% 147.15/22.40 [1357] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.40 -> [1397] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.40
% 147.15/22.40 [1397] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.40 -> [1398] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.40 -> [1399] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.40
% 147.15/22.40 [1398] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.40
% 147.15/22.40 [1399] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.40 -> [1868] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.40 -> [1869] distinct_points(skolem_A8080, skolem_B8181)
% 147.15/22.40
% 147.15/22.40 [1868] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.40
% 147.15/22.40 [1869] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.40 -> [2018] ~distinct_lines(N27_45_3, N27_45_3)
% 147.15/22.40
% 147.15/22.40 [2018] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.40 -> [2127] (distinct_lines(N27_45_3, N27_45_3) => (distinct_lines(N27_45_3, N27_45_3) | distinct_lines(N27_45_3, N27_45_3)))
% 147.15/22.40
% 147.15/22.40 [2127] BETA_IMPLY : (distinct_lines(N27_45_3, N27_45_3) => (distinct_lines(N27_45_3, N27_45_3) | distinct_lines(N27_45_3, N27_45_3)))
% 147.15/22.40 -> [2130] ~distinct_lines(N27_45_3, N27_45_3)
% 147.15/22.40 -> [2131] (distinct_lines(N27_45_3, N27_45_3) | distinct_lines(N27_45_3, N27_45_3))
% 147.15/22.40
% 147.15/22.40 [2131] BETA_OR : (distinct_lines(N27_45_3, N27_45_3) | distinct_lines(N27_45_3, N27_45_3))
% 147.15/22.40 -> [2132] distinct_lines(N27_45_3, N27_45_3)
% 147.15/22.40 -> [2133] distinct_lines(N27_45_3, N27_45_3)
% 147.15/22.40
% 147.15/22.40 [2132] CLOSURE : distinct_lines(N27_45_3, N27_45_3)
% 147.15/22.40
% 147.15/22.40 [2133] CLOSURE : distinct_lines(N27_45_3, N27_45_3)
% 147.15/22.40
% 147.15/22.40 [2130] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.40 -> [2224] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [2224] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.40 -> [2293] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [2293] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.40 -> [2296] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40 -> [2297] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [2296] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [2297] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.40 -> [5965] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40 -> [5966] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [5965] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [5966] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.40 -> [7022] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.40
% 147.15/22.40 [7022] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.40 -> [7023] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [7024] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.40
% 147.15/22.40 [7023] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [7059] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40 -> [7060] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [7060] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [7059] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40
% 147.15/22.40 [7024] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [11543] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [11544] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [11543] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [11558] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [11558] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [11544] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [11552] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [11552] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.40 -> [11633] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.40
% 147.15/22.40 [11633] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [11636] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.40 -> [11637] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [11637] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [11638] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40 -> [11639] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [11638] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [11639] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [11672] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.40
% 147.15/22.40 [11672] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.40 -> [11675] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [11676] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40
% 147.15/22.40 [11675] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [12137] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40 -> [12138] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [12137] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40
% 147.15/22.40 [12138] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [11676] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [11977] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40 -> [11978] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [11978] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [12239] ~(left_apart_point(A39_988_9, L40_988_9) | left_apart_point(A39_988_9, reverse_line(L40_988_9)))
% 147.15/22.40
% 147.15/22.40 [12239] ALPHA_NOT_OR : ~(left_apart_point(A39_988_9, L40_988_9) | left_apart_point(A39_988_9, reverse_line(L40_988_9)))
% 147.15/22.40 -> [12241] ~left_apart_point(A39_988_9, L40_988_9), ~left_apart_point(A39_988_9, reverse_line(L40_988_9))
% 147.15/22.40
% 147.15/22.40 [12241] CLOSURE : ~left_apart_point(A39_988_9, L40_988_9)
% 147.15/22.40
% 147.15/22.40 [11977] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [12129] ~(left_apart_point(A39_961_9, L40_961_9) | left_apart_point(A39_961_9, reverse_line(L40_961_9)))
% 147.15/22.40
% 147.15/22.40 [12129] ALPHA_NOT_OR : ~(left_apart_point(A39_961_9, L40_961_9) | left_apart_point(A39_961_9, reverse_line(L40_961_9)))
% 147.15/22.40 -> [12130] ~left_apart_point(A39_961_9, L40_961_9), ~left_apart_point(A39_961_9, reverse_line(L40_961_9))
% 147.15/22.40
% 147.15/22.40 [12130] CLOSURE : ~left_apart_point(A39_961_9, L40_961_9)
% 147.15/22.40
% 147.15/22.40 [11636] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.40 -> [11642] ~line(skolem_M7878)
% 147.15/22.40 -> [11643] ~line(skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [11643] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [11655] ((unequally_directed_lines(skolem_N7979, M38_465_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_465_8))) => (left_convergent_lines(skolem_N7979, M38_465_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_465_8))))
% 147.15/22.40
% 147.15/22.40 [11655] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_465_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_465_8))) => (left_convergent_lines(skolem_N7979, M38_465_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_465_8))))
% 147.15/22.40 -> [11659] ~(unequally_directed_lines(skolem_N7979, M38_465_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_465_8)))
% 147.15/22.40 -> [11660] (left_convergent_lines(skolem_N7979, M38_465_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_465_8)))
% 147.15/22.40
% 147.15/22.40 [11660] BETA_OR : (left_convergent_lines(skolem_N7979, M38_465_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_465_8)))
% 147.15/22.40 -> [11663] left_convergent_lines(skolem_N7979, M38_465_8)
% 147.15/22.40 -> [11664] left_convergent_lines(skolem_N7979, reverse_line(M38_465_8))
% 147.15/22.40
% 147.15/22.40 [11663] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [12171] ~(left_apart_point(A39_974_9, L40_974_9) | left_apart_point(A39_974_9, reverse_line(L40_974_9)))
% 147.15/22.40
% 147.15/22.40 [12171] ALPHA_NOT_OR : ~(left_apart_point(A39_974_9, L40_974_9) | left_apart_point(A39_974_9, reverse_line(L40_974_9)))
% 147.15/22.40 -> [12173] ~left_apart_point(A39_974_9, L40_974_9), ~left_apart_point(A39_974_9, reverse_line(L40_974_9))
% 147.15/22.40
% 147.15/22.40 [12173] CLOSURE : ~left_apart_point(A39_974_9, L40_974_9)
% 147.15/22.40
% 147.15/22.40 [11664] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [12089] ~(left_apart_point(A39_949_9, L40_949_9) | left_apart_point(A39_949_9, reverse_line(L40_949_9)))
% 147.15/22.40
% 147.15/22.40 [12089] ALPHA_NOT_OR : ~(left_apart_point(A39_949_9, L40_949_9) | left_apart_point(A39_949_9, reverse_line(L40_949_9)))
% 147.15/22.40 -> [12090] ~left_apart_point(A39_949_9, L40_949_9), ~left_apart_point(A39_949_9, reverse_line(L40_949_9))
% 147.15/22.40
% 147.15/22.40 [12090] CLOSURE : ~left_apart_point(A39_949_9, L40_949_9)
% 147.15/22.40
% 147.15/22.40 [11659] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_465_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_465_8)))
% 147.15/22.40 -> [11991] ~unequally_directed_lines(skolem_N7979, M38_465_8)
% 147.15/22.40 -> [11992] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_465_8))
% 147.15/22.40
% 147.15/22.40 [11992] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_465_8))
% 147.15/22.40
% 147.15/22.40 [11991] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_465_8)
% 147.15/22.40
% 147.15/22.40 [11642] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [12111] ((unequally_directed_lines(skolem_N7979, M38_468_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_468_8))) => (left_convergent_lines(skolem_N7979, M38_468_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_468_8))))
% 147.15/22.40
% 147.15/22.40 [12111] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_468_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_468_8))) => (left_convergent_lines(skolem_N7979, M38_468_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_468_8))))
% 147.15/22.40 -> [12112] ~(unequally_directed_lines(skolem_N7979, M38_468_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_468_8)))
% 147.15/22.40 -> [12113] (left_convergent_lines(skolem_N7979, M38_468_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_468_8)))
% 147.15/22.40
% 147.15/22.40 [12113] BETA_OR : (left_convergent_lines(skolem_N7979, M38_468_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_468_8)))
% 147.15/22.40 -> [12116] left_convergent_lines(skolem_N7979, M38_468_8)
% 147.15/22.40 -> [12117] left_convergent_lines(skolem_N7979, reverse_line(M38_468_8))
% 147.15/22.40
% 147.15/22.40 [12116] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [12156] ~(left_apart_point(A39_969_9, L40_969_9) | left_apart_point(A39_969_9, reverse_line(L40_969_9)))
% 147.15/22.40
% 147.15/22.40 [12156] ALPHA_NOT_OR : ~(left_apart_point(A39_969_9, L40_969_9) | left_apart_point(A39_969_9, reverse_line(L40_969_9)))
% 147.15/22.40 -> [12157] ~left_apart_point(A39_969_9, L40_969_9), ~left_apart_point(A39_969_9, reverse_line(L40_969_9))
% 147.15/22.40
% 147.15/22.40 [12157] CLOSURE : ~left_apart_point(A39_969_9, L40_969_9)
% 147.15/22.40
% 147.15/22.40 [12117] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [12172] ~(left_apart_point(A39_975_9, L40_975_9) | left_apart_point(A39_975_9, reverse_line(L40_975_9)))
% 147.15/22.40
% 147.15/22.40 [12172] ALPHA_NOT_OR : ~(left_apart_point(A39_975_9, L40_975_9) | left_apart_point(A39_975_9, reverse_line(L40_975_9)))
% 147.15/22.40 -> [12174] ~left_apart_point(A39_975_9, L40_975_9), ~left_apart_point(A39_975_9, reverse_line(L40_975_9))
% 147.15/22.40
% 147.15/22.40 [12174] CLOSURE : ~left_apart_point(A39_975_9, L40_975_9)
% 147.15/22.40
% 147.15/22.40 [12112] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_468_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_468_8)))
% 147.15/22.40 -> [12144] ~unequally_directed_lines(skolem_N7979, M38_468_8)
% 147.15/22.40 -> [12145] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_468_8))
% 147.15/22.40
% 147.15/22.40 [12145] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_468_8))
% 147.15/22.40
% 147.15/22.40 [12144] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_468_8)
% 147.15/22.40
% 147.15/22.40 [1329] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.40 -> [1361] ~distinct_points(A20_107_0, A20_107_0)
% 147.15/22.40
% 147.15/22.40 [1361] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.40 -> [1410] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.40
% 147.15/22.40 [1410] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.40 -> [1412] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.40 -> [1413] (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.40
% 147.15/22.40 [1412] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.40
% 147.15/22.40 [1413] BETA_OR : (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.40 -> [1879] distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.40 -> [1880] distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.40
% 147.15/22.40 [1879] CLOSURE : distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.40
% 147.15/22.40 [1880] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.40 -> [3163] ~distinct_lines(L25_103_3, L25_103_3)
% 147.15/22.40
% 147.15/22.40 [3163] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.40 -> [3216] (distinct_lines(L25_103_3, L25_103_3) => (distinct_lines(L25_103_3, L25_103_3) | distinct_lines(L25_103_3, L25_103_3)))
% 147.15/22.40
% 147.15/22.40 [3216] BETA_IMPLY : (distinct_lines(L25_103_3, L25_103_3) => (distinct_lines(L25_103_3, L25_103_3) | distinct_lines(L25_103_3, L25_103_3)))
% 147.15/22.40 -> [3217] ~distinct_lines(L25_103_3, L25_103_3)
% 147.15/22.40 -> [3218] (distinct_lines(L25_103_3, L25_103_3) | distinct_lines(L25_103_3, L25_103_3))
% 147.15/22.40
% 147.15/22.40 [3218] BETA_OR : (distinct_lines(L25_103_3, L25_103_3) | distinct_lines(L25_103_3, L25_103_3))
% 147.15/22.40 -> [3220] distinct_lines(L25_103_3, L25_103_3)
% 147.15/22.40 -> [3221] distinct_lines(L25_103_3, L25_103_3)
% 147.15/22.40
% 147.15/22.40 [3221] CLOSURE : distinct_lines(L25_103_3, L25_103_3)
% 147.15/22.40
% 147.15/22.40 [3220] CLOSURE : distinct_lines(L25_103_3, L25_103_3)
% 147.15/22.40
% 147.15/22.40 [3217] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.40 -> [3361] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [3361] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.40 -> [3620] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [3620] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.40 -> [3622] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40 -> [3623] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [3622] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [3623] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.40 -> [7876] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40 -> [7877] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [7876] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [7877] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.40 -> [10575] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))))
% 147.15/22.40
% 147.15/22.40 [10575] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))))
% 147.15/22.40 -> [10576] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [10577] ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.15/22.40
% 147.15/22.40 [10576] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [10583] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40 -> [10584] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [10584] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [10583] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [10577] BETA_OR : ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.15/22.40 -> [12276] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.40 -> [12277] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.40
% 147.15/22.40 [12276] ALPHA_AND : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.40 -> [12279] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.40
% 147.15/22.40 [12279] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.40
% 147.15/22.40 [12278] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.40 -> [12300] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.40
% 147.15/22.40 [12300] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [12304] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.40 -> [12305] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [12305] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [12311] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40 -> [12312] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [12311] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [12312] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [12338] ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.15/22.40
% 147.15/22.40 [12338] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.15/22.40 -> [12339] ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.40 -> [12340] (left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.40
% 147.15/22.40 [12340] BETA_OR : (left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.40 -> [12341] left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.40 -> [12342] left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.40
% 147.15/22.40 [12342] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [12510] ~(left_apart_point(A39_1031_9, L40_1031_9) | left_apart_point(A39_1031_9, reverse_line(L40_1031_9)))
% 147.15/22.40
% 147.15/22.40 [12510] ALPHA_NOT_OR : ~(left_apart_point(A39_1031_9, L40_1031_9) | left_apart_point(A39_1031_9, reverse_line(L40_1031_9)))
% 147.15/22.40 -> [12512] ~left_apart_point(A39_1031_9, L40_1031_9), ~left_apart_point(A39_1031_9, reverse_line(L40_1031_9))
% 147.15/22.40
% 147.15/22.40 [12512] CLOSURE : ~left_apart_point(A39_1031_9, L40_1031_9)
% 147.15/22.40
% 147.15/22.40 [12341] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [12532] ~(left_apart_point(A39_1040_9, L40_1040_9) | left_apart_point(A39_1040_9, reverse_line(L40_1040_9)))
% 147.15/22.40
% 147.15/22.40 [12532] ALPHA_NOT_OR : ~(left_apart_point(A39_1040_9, L40_1040_9) | left_apart_point(A39_1040_9, reverse_line(L40_1040_9)))
% 147.15/22.40 -> [12534] ~left_apart_point(A39_1040_9, L40_1040_9), ~left_apart_point(A39_1040_9, reverse_line(L40_1040_9))
% 147.15/22.40
% 147.15/22.40 [12534] CLOSURE : ~left_apart_point(A39_1040_9, L40_1040_9)
% 147.15/22.40
% 147.15/22.40 [12339] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.40 -> [12526] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.40 -> [12527] ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.40
% 147.15/22.40 [12526] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.40
% 147.15/22.40 [12527] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.40
% 147.15/22.40 [12304] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.40 -> [12318] ~line(skolem_M7878)
% 147.15/22.40 -> [12319] ~line(skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [12318] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [12487] ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.15/22.40
% 147.15/22.40 [12487] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))) => (left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.15/22.40 -> [12488] ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.40 -> [12489] (left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.40
% 147.15/22.40 [12488] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.40 -> [12502] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.40 -> [12503] ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.40
% 147.15/22.40 [12503] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.40
% 147.15/22.40 [12502] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.40
% 147.15/22.40 [12489] BETA_OR : (left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080)) | left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.40 -> [12492] left_convergent_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.40 -> [12493] left_convergent_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.40
% 147.15/22.40 [12492] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [12518] ~(left_apart_point(A39_1035_9, L40_1035_9) | left_apart_point(A39_1035_9, reverse_line(L40_1035_9)))
% 147.15/22.40
% 147.15/22.40 [12518] ALPHA_NOT_OR : ~(left_apart_point(A39_1035_9, L40_1035_9) | left_apart_point(A39_1035_9, reverse_line(L40_1035_9)))
% 147.15/22.40 -> [12521] ~left_apart_point(A39_1035_9, L40_1035_9), ~left_apart_point(A39_1035_9, reverse_line(L40_1035_9))
% 147.15/22.40
% 147.15/22.40 [12521] CLOSURE : ~left_apart_point(A39_1035_9, L40_1035_9)
% 147.15/22.40
% 147.15/22.40 [12493] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [12522] ~(left_apart_point(A39_1036_9, L40_1036_9) | left_apart_point(A39_1036_9, reverse_line(L40_1036_9)))
% 147.15/22.40
% 147.15/22.40 [12522] ALPHA_NOT_OR : ~(left_apart_point(A39_1036_9, L40_1036_9) | left_apart_point(A39_1036_9, reverse_line(L40_1036_9)))
% 147.15/22.40 -> [12523] ~left_apart_point(A39_1036_9, L40_1036_9), ~left_apart_point(A39_1036_9, reverse_line(L40_1036_9))
% 147.15/22.40
% 147.15/22.40 [12523] CLOSURE : ~left_apart_point(A39_1036_9, L40_1036_9)
% 147.15/22.40
% 147.15/22.40 [12319] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [12332] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.40
% 147.15/22.40 [12332] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [12333] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [12334] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [12334] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [12335] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40 -> [12336] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [12336] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [12533] ~(left_apart_point(A39_1041_9, L40_1041_9) | left_apart_point(A39_1041_9, reverse_line(L40_1041_9)))
% 147.15/22.40
% 147.15/22.40 [12533] ALPHA_NOT_OR : ~(left_apart_point(A39_1041_9, L40_1041_9) | left_apart_point(A39_1041_9, reverse_line(L40_1041_9)))
% 147.15/22.40 -> [12535] ~left_apart_point(A39_1041_9, L40_1041_9), ~left_apart_point(A39_1041_9, reverse_line(L40_1041_9))
% 147.15/22.40
% 147.15/22.40 [12535] CLOSURE : ~left_apart_point(A39_1041_9, L40_1041_9)
% 147.15/22.40
% 147.15/22.40 [12335] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [12586] ~(left_apart_point(A39_1045_9, L40_1045_9) | left_apart_point(A39_1045_9, reverse_line(L40_1045_9)))
% 147.15/22.40
% 147.15/22.40 [12586] ALPHA_NOT_OR : ~(left_apart_point(A39_1045_9, L40_1045_9) | left_apart_point(A39_1045_9, reverse_line(L40_1045_9)))
% 147.15/22.40 -> [12587] ~left_apart_point(A39_1045_9, L40_1045_9), ~left_apart_point(A39_1045_9, reverse_line(L40_1045_9))
% 147.15/22.40
% 147.15/22.40 [12587] CLOSURE : ~left_apart_point(A39_1045_9, L40_1045_9)
% 147.15/22.40
% 147.15/22.40 [12333] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [12519] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40 -> [12520] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [12520] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [12519] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [39] ALPHA_AND : (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 147.15/22.40 -> [44] before_on_line(skolem_L7777, skolem_A8080, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 147.15/22.40
% 147.15/22.40 [44] Rewrite : before_on_line(skolem_L7777, skolem_A8080, skolem_B8181)
% 147.15/22.40 -> [54] (((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.40
% 147.15/22.40 [54] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 147.15/22.40 -> [62] (((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.40
% 147.15/22.40 [62] ALPHA_AND : (((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.40 -> [67] ((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.40
% 147.15/22.40 [67] ALPHA_AND : (((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.40 -> [77] ((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.40
% 147.15/22.40 [77] ALPHA_AND : ((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.15/22.40 -> [87] (distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.40
% 147.15/22.40 [87] ALPHA_AND : ((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777))))
% 147.15/22.40 -> [90] (distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.15/22.40
% 147.15/22.40 [90] ALPHA_AND : (distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777))))
% 147.15/22.40 -> [94] distinct_points(skolem_A8080, skolem_B8181), ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.15/22.40
% 147.15/22.40 [94] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.40 -> [109] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.15/22.40
% 147.15/22.40 [109] ALPHA_AND : (distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.15/22.40 -> [119] distinct_points(skolem_B8181, skolem_C8282), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.40
% 147.15/22.40 [119] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.15/22.40 -> [127] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 147.15/22.40
% 147.15/22.40 [127] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.15/22.40 -> [135] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 147.15/22.40
% 147.15/22.40 [135] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.40 -> [141] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.15/22.40
% 147.15/22.40 [141] BETA_NOT_AND : ~(((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.40 -> [156] ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.40 -> [157] ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.40
% 147.15/22.40 [157] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.40 -> [165] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.40
% 147.15/22.40 [165] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.40 -> [278] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [279] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.40
% 147.15/22.40 [279] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.40 -> [291] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.40
% 147.15/22.40 [291] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.40 -> [332] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.40
% 147.15/22.40 [332] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.40 -> [530] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.40
% 147.15/22.40 [530] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.40 -> [531] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.40 -> [532] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.40
% 147.15/22.40 [531] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.40
% 147.15/22.40 [532] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.40 -> [1897] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.40 -> [1898] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.40
% 147.15/22.40 [1897] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.40
% 147.15/22.40 [1898] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.40 -> [2350] ~distinct_lines(N27_59_3, N27_59_3)
% 147.15/22.40
% 147.15/22.40 [2350] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.40 -> [2370] (distinct_lines(N27_59_3, N27_59_3) => (distinct_lines(N27_59_3, N27_59_3) | distinct_lines(N27_59_3, N27_59_3)))
% 147.15/22.40
% 147.15/22.40 [2370] BETA_IMPLY : (distinct_lines(N27_59_3, N27_59_3) => (distinct_lines(N27_59_3, N27_59_3) | distinct_lines(N27_59_3, N27_59_3)))
% 147.15/22.40 -> [2371] ~distinct_lines(N27_59_3, N27_59_3)
% 147.15/22.40 -> [2372] (distinct_lines(N27_59_3, N27_59_3) | distinct_lines(N27_59_3, N27_59_3))
% 147.15/22.40
% 147.15/22.40 [2372] BETA_OR : (distinct_lines(N27_59_3, N27_59_3) | distinct_lines(N27_59_3, N27_59_3))
% 147.15/22.40 -> [2375] distinct_lines(N27_59_3, N27_59_3)
% 147.15/22.40 -> [2376] distinct_lines(N27_59_3, N27_59_3)
% 147.15/22.40
% 147.15/22.40 [2376] CLOSURE : distinct_lines(N27_59_3, N27_59_3)
% 147.15/22.40
% 147.15/22.40 [2375] CLOSURE : distinct_lines(N27_59_3, N27_59_3)
% 147.15/22.40
% 147.15/22.40 [2371] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.40 -> [2391] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [2391] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.40 -> [2983] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [2983] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 147.15/22.40 -> [2984] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40 -> [2985] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [2984] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40
% 147.15/22.40 [2985] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 147.15/22.40 -> [5514] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40 -> [5515] unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [5514] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [5515] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.40 -> [7873] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.40
% 147.15/22.40 [7873] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.40 -> [7874] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [7875] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.40
% 147.15/22.40 [7874] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [7917] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40 -> [7918] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [7918] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [7917] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40
% 147.15/22.40 [7875] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [9147] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [9148] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [9147] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [9157] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [9157] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [9148] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [9150] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [9150] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.40 -> [9204] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.40
% 147.15/22.40 [9204] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.40 -> [9206] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.40 -> [9207] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.40
% 147.15/22.40 [9207] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.40 -> [9216] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40 -> [9217] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.40
% 147.15/22.40 [9216] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [9217] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [10331] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.40
% 147.15/22.40 [10331] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.40 -> [10336] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [10337] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40
% 147.15/22.40 [10336] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [10462] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40 -> [10463] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [10463] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [10462] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40
% 147.15/22.40 [10337] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [10345] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40 -> [10346] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [10345] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [10396] ~(left_apart_point(A39_735_9, L40_735_9) | left_apart_point(A39_735_9, reverse_line(L40_735_9)))
% 147.15/22.40
% 147.15/22.40 [10396] ALPHA_NOT_OR : ~(left_apart_point(A39_735_9, L40_735_9) | left_apart_point(A39_735_9, reverse_line(L40_735_9)))
% 147.15/22.40 -> [10400] ~left_apart_point(A39_735_9, L40_735_9), ~left_apart_point(A39_735_9, reverse_line(L40_735_9))
% 147.15/22.40
% 147.15/22.40 [10400] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [10532] ~(left_convergent_lines(L41_201_10, M42_201_10) | left_convergent_lines(L41_201_10, reverse_line(M42_201_10)))
% 147.15/22.40
% 147.15/22.40 [10532] ALPHA_NOT_OR : ~(left_convergent_lines(L41_201_10, M42_201_10) | left_convergent_lines(L41_201_10, reverse_line(M42_201_10)))
% 147.15/22.40 -> [10533] ~left_convergent_lines(L41_201_10, M42_201_10), ~left_convergent_lines(L41_201_10, reverse_line(M42_201_10))
% 147.15/22.40
% 147.15/22.40 [10533] CLOSURE : ~left_convergent_lines(L41_201_10, M42_201_10)
% 147.15/22.40
% 147.15/22.40 [10346] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [10384] ~(left_apart_point(A39_731_9, L40_731_9) | left_apart_point(A39_731_9, reverse_line(L40_731_9)))
% 147.15/22.40
% 147.15/22.40 [10384] ALPHA_NOT_OR : ~(left_apart_point(A39_731_9, L40_731_9) | left_apart_point(A39_731_9, reverse_line(L40_731_9)))
% 147.15/22.40 -> [10385] ~left_apart_point(A39_731_9, L40_731_9), ~left_apart_point(A39_731_9, reverse_line(L40_731_9))
% 147.15/22.40
% 147.15/22.40 [10385] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [10534] ~(left_convergent_lines(L41_202_10, M42_202_10) | left_convergent_lines(L41_202_10, reverse_line(M42_202_10)))
% 147.15/22.40
% 147.15/22.40 [10534] ALPHA_NOT_OR : ~(left_convergent_lines(L41_202_10, M42_202_10) | left_convergent_lines(L41_202_10, reverse_line(M42_202_10)))
% 147.15/22.40 -> [10535] ~left_convergent_lines(L41_202_10, M42_202_10), ~left_convergent_lines(L41_202_10, reverse_line(M42_202_10))
% 147.15/22.40
% 147.15/22.40 [10535] CLOSURE : ~left_convergent_lines(L41_202_10, M42_202_10)
% 147.15/22.40
% 147.15/22.40 [9206] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.40 -> [9227] ~line(skolem_M7878)
% 147.15/22.40 -> [9228] ~line(skolem_M7878)
% 147.15/22.40
% 147.15/22.40 [9228] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.40 -> [10094] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.40
% 147.15/22.40 [10094] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.40 -> [10100] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [10101] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40
% 147.15/22.40 [10100] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [10145] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40 -> [10146] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [10146] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [10145] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40
% 147.15/22.40 [10101] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.40 -> [10109] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.40 -> [10110] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.40
% 147.15/22.40 [10109] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [10259] ~(left_apart_point(A39_713_9, L40_713_9) | left_apart_point(A39_713_9, reverse_line(L40_713_9)))
% 147.15/22.40
% 147.15/22.40 [10259] ALPHA_NOT_OR : ~(left_apart_point(A39_713_9, L40_713_9) | left_apart_point(A39_713_9, reverse_line(L40_713_9)))
% 147.15/22.40 -> [10265] ~left_apart_point(A39_713_9, L40_713_9), ~left_apart_point(A39_713_9, reverse_line(L40_713_9))
% 147.15/22.40
% 147.15/22.40 [10265] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [10444] ~(left_convergent_lines(L41_196_10, M42_196_10) | left_convergent_lines(L41_196_10, reverse_line(M42_196_10)))
% 147.15/22.40
% 147.15/22.40 [10444] ALPHA_NOT_OR : ~(left_convergent_lines(L41_196_10, M42_196_10) | left_convergent_lines(L41_196_10, reverse_line(M42_196_10)))
% 147.15/22.40 -> [10447] ~left_convergent_lines(L41_196_10, M42_196_10), ~left_convergent_lines(L41_196_10, reverse_line(M42_196_10))
% 147.15/22.40
% 147.15/22.40 [10447] CLOSURE : ~left_convergent_lines(L41_196_10, M42_196_10)
% 147.15/22.40
% 147.15/22.40 [10110] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.40 -> [10253] ~(left_apart_point(A39_710_9, L40_710_9) | left_apart_point(A39_710_9, reverse_line(L40_710_9)))
% 147.15/22.40
% 147.15/22.40 [10253] ALPHA_NOT_OR : ~(left_apart_point(A39_710_9, L40_710_9) | left_apart_point(A39_710_9, reverse_line(L40_710_9)))
% 147.15/22.40 -> [10254] ~left_apart_point(A39_710_9, L40_710_9), ~left_apart_point(A39_710_9, reverse_line(L40_710_9))
% 147.15/22.40
% 147.15/22.40 [10254] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.40 -> [10454] ~(left_convergent_lines(L41_197_10, M42_197_10) | left_convergent_lines(L41_197_10, reverse_line(M42_197_10)))
% 147.15/22.40
% 147.15/22.40 [10454] ALPHA_NOT_OR : ~(left_convergent_lines(L41_197_10, M42_197_10) | left_convergent_lines(L41_197_10, reverse_line(M42_197_10)))
% 147.15/22.41 -> [10455] ~left_convergent_lines(L41_197_10, M42_197_10), ~left_convergent_lines(L41_197_10, reverse_line(M42_197_10))
% 147.15/22.41
% 147.15/22.41 [10455] CLOSURE : ~left_convergent_lines(L41_197_10, M42_197_10)
% 147.15/22.41
% 147.15/22.41 [9227] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [10088] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.41
% 147.15/22.41 [10088] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.41 -> [10092] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [10093] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41
% 147.15/22.41 [10092] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [10151] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [10152] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [10151] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [10152] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [10093] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [10098] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [10099] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [10099] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [10232] ~(left_apart_point(A39_706_9, L40_706_9) | left_apart_point(A39_706_9, reverse_line(L40_706_9)))
% 147.15/22.41
% 147.15/22.41 [10232] ALPHA_NOT_OR : ~(left_apart_point(A39_706_9, L40_706_9) | left_apart_point(A39_706_9, reverse_line(L40_706_9)))
% 147.15/22.41 -> [10234] ~left_apart_point(A39_706_9, L40_706_9), ~left_apart_point(A39_706_9, reverse_line(L40_706_9))
% 147.15/22.41
% 147.15/22.41 [10234] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [10887] ~(left_convergent_lines(L41_213_10, M42_213_10) | left_convergent_lines(L41_213_10, reverse_line(M42_213_10)))
% 147.15/22.41
% 147.15/22.41 [10887] ALPHA_NOT_OR : ~(left_convergent_lines(L41_213_10, M42_213_10) | left_convergent_lines(L41_213_10, reverse_line(M42_213_10)))
% 147.15/22.41 -> [10889] ~left_convergent_lines(L41_213_10, M42_213_10), ~left_convergent_lines(L41_213_10, reverse_line(M42_213_10))
% 147.15/22.41
% 147.15/22.41 [10889] CLOSURE : ~left_convergent_lines(L41_213_10, M42_213_10)
% 147.15/22.41
% 147.15/22.41 [10098] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [10244] ~(left_apart_point(A39_709_9, L40_709_9) | left_apart_point(A39_709_9, reverse_line(L40_709_9)))
% 147.15/22.41
% 147.15/22.41 [10244] ALPHA_NOT_OR : ~(left_apart_point(A39_709_9, L40_709_9) | left_apart_point(A39_709_9, reverse_line(L40_709_9)))
% 147.15/22.41 -> [10245] ~left_apart_point(A39_709_9, L40_709_9), ~left_apart_point(A39_709_9, reverse_line(L40_709_9))
% 147.15/22.41
% 147.15/22.41 [10245] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [10880] ~(left_convergent_lines(L41_212_10, M42_212_10) | left_convergent_lines(L41_212_10, reverse_line(M42_212_10)))
% 147.15/22.41
% 147.15/22.41 [10880] ALPHA_NOT_OR : ~(left_convergent_lines(L41_212_10, M42_212_10) | left_convergent_lines(L41_212_10, reverse_line(M42_212_10)))
% 147.15/22.41 -> [10882] ~left_convergent_lines(L41_212_10, M42_212_10), ~left_convergent_lines(L41_212_10, reverse_line(M42_212_10))
% 147.15/22.41
% 147.15/22.41 [10882] CLOSURE : ~left_convergent_lines(L41_212_10, M42_212_10)
% 147.15/22.41
% 147.15/22.41 [278] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [319] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.41 -> [320] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [320] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [331] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [331] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [339] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41 -> [340] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [340] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [339] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [319] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.41 -> [596] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.15/22.41 -> [597] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [596] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.41 -> [1006] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1006] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.41 -> [1377] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.41
% 147.15/22.41 [1377] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.41 -> [1378] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [1379] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.41
% 147.15/22.41 [1378] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1379] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.41 -> [1935] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [1936] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1936] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1935] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.41 -> [2906] ~distinct_lines(N27_87_3, N27_87_3)
% 147.15/22.41
% 147.15/22.41 [2906] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.41 -> [2939] (distinct_lines(N27_87_3, N27_87_3) => (distinct_lines(N27_87_3, N27_87_3) | distinct_lines(N27_87_3, N27_87_3)))
% 147.15/22.41
% 147.15/22.41 [2939] BETA_IMPLY : (distinct_lines(N27_87_3, N27_87_3) => (distinct_lines(N27_87_3, N27_87_3) | distinct_lines(N27_87_3, N27_87_3)))
% 147.15/22.41 -> [2940] ~distinct_lines(N27_87_3, N27_87_3)
% 147.15/22.41 -> [2941] (distinct_lines(N27_87_3, N27_87_3) | distinct_lines(N27_87_3, N27_87_3))
% 147.15/22.41
% 147.15/22.41 [2941] BETA_OR : (distinct_lines(N27_87_3, N27_87_3) | distinct_lines(N27_87_3, N27_87_3))
% 147.15/22.41 -> [2942] distinct_lines(N27_87_3, N27_87_3)
% 147.15/22.41 -> [2943] distinct_lines(N27_87_3, N27_87_3)
% 147.15/22.41
% 147.15/22.41 [2943] CLOSURE : distinct_lines(N27_87_3, N27_87_3)
% 147.15/22.41
% 147.15/22.41 [2942] CLOSURE : distinct_lines(N27_87_3, N27_87_3)
% 147.15/22.41
% 147.15/22.41 [2940] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.41 -> [3020] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [3020] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.41 -> [3111] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [3111] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 147.15/22.41 -> [3112] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41 -> [3113] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [3112] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41
% 147.15/22.41 [3113] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 147.15/22.41 -> [3730] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41 -> [3731] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [3730] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [3731] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.41 -> [3846] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41
% 147.15/22.41 [3846] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41 -> [3849] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [3850] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [3849] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [3865] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [3866] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [3866] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [3865] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [3850] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [5410] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [5411] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [5410] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [5420] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [5420] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [5411] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [5412] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [5412] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [5810] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [5810] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [5811] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [5812] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [5812] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [5813] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41 -> [5814] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [5813] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [5814] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [6158] ((unequally_directed_lines(skolem_N7979, M38_123_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_123_8))) => (left_convergent_lines(skolem_N7979, M38_123_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_123_8))))
% 147.15/22.41
% 147.15/22.41 [6158] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_123_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_123_8))) => (left_convergent_lines(skolem_N7979, M38_123_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_123_8))))
% 147.15/22.41 -> [6160] ~(unequally_directed_lines(skolem_N7979, M38_123_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_123_8)))
% 147.15/22.41 -> [6161] (left_convergent_lines(skolem_N7979, M38_123_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_123_8)))
% 147.15/22.41
% 147.15/22.41 [6160] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_123_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_123_8)))
% 147.15/22.41 -> [6305] ~unequally_directed_lines(skolem_N7979, M38_123_8)
% 147.15/22.41 -> [6306] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_123_8))
% 147.15/22.41
% 147.15/22.41 [6306] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_123_8))
% 147.15/22.41
% 147.15/22.41 [6305] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_123_8)
% 147.15/22.41
% 147.15/22.41 [6161] BETA_OR : (left_convergent_lines(skolem_N7979, M38_123_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_123_8)))
% 147.15/22.41 -> [6165] left_convergent_lines(skolem_N7979, M38_123_8)
% 147.15/22.41 -> [6166] left_convergent_lines(skolem_N7979, reverse_line(M38_123_8))
% 147.15/22.41
% 147.15/22.41 [6166] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6536] ~(left_apart_point(A39_257_9, L40_257_9) | left_apart_point(A39_257_9, reverse_line(L40_257_9)))
% 147.15/22.41
% 147.15/22.41 [6536] ALPHA_NOT_OR : ~(left_apart_point(A39_257_9, L40_257_9) | left_apart_point(A39_257_9, reverse_line(L40_257_9)))
% 147.15/22.41 -> [6542] ~left_apart_point(A39_257_9, L40_257_9), ~left_apart_point(A39_257_9, reverse_line(L40_257_9))
% 147.15/22.41
% 147.15/22.41 [6542] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [7038] ~(left_convergent_lines(L41_69_10, M42_69_10) | left_convergent_lines(L41_69_10, reverse_line(M42_69_10)))
% 147.15/22.41
% 147.15/22.41 [7038] ALPHA_NOT_OR : ~(left_convergent_lines(L41_69_10, M42_69_10) | left_convergent_lines(L41_69_10, reverse_line(M42_69_10)))
% 147.15/22.41 -> [7039] ~left_convergent_lines(L41_69_10, M42_69_10), ~left_convergent_lines(L41_69_10, reverse_line(M42_69_10))
% 147.15/22.41
% 147.15/22.41 [7039] CLOSURE : ~left_convergent_lines(L41_69_10, M42_69_10)
% 147.15/22.41
% 147.15/22.41 [6165] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6575] ~(left_apart_point(A39_260_9, L40_260_9) | left_apart_point(A39_260_9, reverse_line(L40_260_9)))
% 147.15/22.41
% 147.15/22.41 [6575] ALPHA_NOT_OR : ~(left_apart_point(A39_260_9, L40_260_9) | left_apart_point(A39_260_9, reverse_line(L40_260_9)))
% 147.15/22.41 -> [6579] ~left_apart_point(A39_260_9, L40_260_9), ~left_apart_point(A39_260_9, reverse_line(L40_260_9))
% 147.15/22.41
% 147.15/22.41 [6579] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [7047] ~(left_convergent_lines(L41_71_10, M42_71_10) | left_convergent_lines(L41_71_10, reverse_line(M42_71_10)))
% 147.15/22.41
% 147.15/22.41 [7047] ALPHA_NOT_OR : ~(left_convergent_lines(L41_71_10, M42_71_10) | left_convergent_lines(L41_71_10, reverse_line(M42_71_10)))
% 147.15/22.41 -> [7048] ~left_convergent_lines(L41_71_10, M42_71_10), ~left_convergent_lines(L41_71_10, reverse_line(M42_71_10))
% 147.15/22.41
% 147.15/22.41 [7048] CLOSURE : ~left_convergent_lines(L41_71_10, M42_71_10)
% 147.15/22.41
% 147.15/22.41 [5811] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [5864] ~line(skolem_M7878)
% 147.15/22.41 -> [5865] ~line(skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [5865] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [6292] ((unequally_directed_lines(skolem_N7979, M38_136_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_136_8))) => (left_convergent_lines(skolem_N7979, M38_136_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_136_8))))
% 147.15/22.41
% 147.15/22.41 [6292] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_136_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_136_8))) => (left_convergent_lines(skolem_N7979, M38_136_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_136_8))))
% 147.15/22.41 -> [6295] ~(unequally_directed_lines(skolem_N7979, M38_136_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_136_8)))
% 147.15/22.41 -> [6296] (left_convergent_lines(skolem_N7979, M38_136_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_136_8)))
% 147.15/22.41
% 147.15/22.41 [6295] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_136_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_136_8)))
% 147.15/22.41 -> [6417] ~unequally_directed_lines(skolem_N7979, M38_136_8)
% 147.15/22.41 -> [6418] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_136_8))
% 147.15/22.41
% 147.15/22.41 [6418] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_136_8))
% 147.15/22.41
% 147.15/22.41 [6417] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_136_8)
% 147.15/22.41
% 147.15/22.41 [6296] BETA_OR : (left_convergent_lines(skolem_N7979, M38_136_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_136_8)))
% 147.15/22.41 -> [6300] left_convergent_lines(skolem_N7979, M38_136_8)
% 147.15/22.41 -> [6301] left_convergent_lines(skolem_N7979, reverse_line(M38_136_8))
% 147.15/22.41
% 147.15/22.41 [6301] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6570] ~(left_apart_point(A39_259_9, L40_259_9) | left_apart_point(A39_259_9, reverse_line(L40_259_9)))
% 147.15/22.41
% 147.15/22.41 [6570] ALPHA_NOT_OR : ~(left_apart_point(A39_259_9, L40_259_9) | left_apart_point(A39_259_9, reverse_line(L40_259_9)))
% 147.15/22.41 -> [6571] ~left_apart_point(A39_259_9, L40_259_9), ~left_apart_point(A39_259_9, reverse_line(L40_259_9))
% 147.15/22.41
% 147.15/22.41 [6571] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [6801] ~(left_convergent_lines(L41_54_10, M42_54_10) | left_convergent_lines(L41_54_10, reverse_line(M42_54_10)))
% 147.15/22.41
% 147.15/22.41 [6801] ALPHA_NOT_OR : ~(left_convergent_lines(L41_54_10, M42_54_10) | left_convergent_lines(L41_54_10, reverse_line(M42_54_10)))
% 147.15/22.41 -> [6803] ~left_convergent_lines(L41_54_10, M42_54_10), ~left_convergent_lines(L41_54_10, reverse_line(M42_54_10))
% 147.15/22.41
% 147.15/22.41 [6803] CLOSURE : ~left_convergent_lines(L41_54_10, M42_54_10)
% 147.15/22.41
% 147.15/22.41 [6300] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6615] ~(left_apart_point(A39_263_9, L40_263_9) | left_apart_point(A39_263_9, reverse_line(L40_263_9)))
% 147.15/22.41
% 147.15/22.41 [6615] ALPHA_NOT_OR : ~(left_apart_point(A39_263_9, L40_263_9) | left_apart_point(A39_263_9, reverse_line(L40_263_9)))
% 147.15/22.41 -> [6618] ~left_apart_point(A39_263_9, L40_263_9), ~left_apart_point(A39_263_9, reverse_line(L40_263_9))
% 147.15/22.41
% 147.15/22.41 [6618] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [6822] ~(left_convergent_lines(L41_56_10, M42_56_10) | left_convergent_lines(L41_56_10, reverse_line(M42_56_10)))
% 147.15/22.41
% 147.15/22.41 [6822] ALPHA_NOT_OR : ~(left_convergent_lines(L41_56_10, M42_56_10) | left_convergent_lines(L41_56_10, reverse_line(M42_56_10)))
% 147.15/22.41 -> [6824] ~left_convergent_lines(L41_56_10, M42_56_10), ~left_convergent_lines(L41_56_10, reverse_line(M42_56_10))
% 147.15/22.41
% 147.15/22.41 [6824] CLOSURE : ~left_convergent_lines(L41_56_10, M42_56_10)
% 147.15/22.41
% 147.15/22.41 [5864] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [6273] ((unequally_directed_lines(skolem_N7979, M38_135_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_135_8))) => (left_convergent_lines(skolem_N7979, M38_135_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_135_8))))
% 147.15/22.41
% 147.15/22.41 [6273] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_135_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_135_8))) => (left_convergent_lines(skolem_N7979, M38_135_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_135_8))))
% 147.15/22.41 -> [6279] ~(unequally_directed_lines(skolem_N7979, M38_135_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_135_8)))
% 147.15/22.41 -> [6280] (left_convergent_lines(skolem_N7979, M38_135_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_135_8)))
% 147.15/22.41
% 147.15/22.41 [6279] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_135_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_135_8)))
% 147.15/22.41 -> [6393] ~unequally_directed_lines(skolem_N7979, M38_135_8)
% 147.15/22.41 -> [6394] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_135_8))
% 147.15/22.41
% 147.15/22.41 [6394] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_135_8))
% 147.15/22.41
% 147.15/22.41 [6393] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_135_8)
% 147.15/22.41
% 147.15/22.41 [6280] BETA_OR : (left_convergent_lines(skolem_N7979, M38_135_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_135_8)))
% 147.15/22.41 -> [6288] left_convergent_lines(skolem_N7979, M38_135_8)
% 147.15/22.41 -> [6289] left_convergent_lines(skolem_N7979, reverse_line(M38_135_8))
% 147.15/22.41
% 147.15/22.41 [6289] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6553] ~(left_apart_point(A39_258_9, L40_258_9) | left_apart_point(A39_258_9, reverse_line(L40_258_9)))
% 147.15/22.41
% 147.15/22.41 [6553] ALPHA_NOT_OR : ~(left_apart_point(A39_258_9, L40_258_9) | left_apart_point(A39_258_9, reverse_line(L40_258_9)))
% 147.15/22.41 -> [6556] ~left_apart_point(A39_258_9, L40_258_9), ~left_apart_point(A39_258_9, reverse_line(L40_258_9))
% 147.15/22.41
% 147.15/22.41 [6556] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [6806] ~(left_convergent_lines(L41_55_10, M42_55_10) | left_convergent_lines(L41_55_10, reverse_line(M42_55_10)))
% 147.15/22.41
% 147.15/22.41 [6806] ALPHA_NOT_OR : ~(left_convergent_lines(L41_55_10, M42_55_10) | left_convergent_lines(L41_55_10, reverse_line(M42_55_10)))
% 147.15/22.41 -> [6809] ~left_convergent_lines(L41_55_10, M42_55_10), ~left_convergent_lines(L41_55_10, reverse_line(M42_55_10))
% 147.15/22.41
% 147.15/22.41 [6809] CLOSURE : ~left_convergent_lines(L41_55_10, M42_55_10)
% 147.15/22.41
% 147.15/22.41 [6288] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6595] ~(left_apart_point(A39_262_9, L40_262_9) | left_apart_point(A39_262_9, reverse_line(L40_262_9)))
% 147.15/22.41
% 147.15/22.41 [6595] ALPHA_NOT_OR : ~(left_apart_point(A39_262_9, L40_262_9) | left_apart_point(A39_262_9, reverse_line(L40_262_9)))
% 147.15/22.41 -> [6597] ~left_apart_point(A39_262_9, L40_262_9), ~left_apart_point(A39_262_9, reverse_line(L40_262_9))
% 147.15/22.41
% 147.15/22.41 [6597] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [7487] ~(left_convergent_lines(L41_91_10, M42_91_10) | left_convergent_lines(L41_91_10, reverse_line(M42_91_10)))
% 147.15/22.41
% 147.15/22.41 [7487] ALPHA_NOT_OR : ~(left_convergent_lines(L41_91_10, M42_91_10) | left_convergent_lines(L41_91_10, reverse_line(M42_91_10)))
% 147.15/22.41 -> [7490] ~left_convergent_lines(L41_91_10, M42_91_10), ~left_convergent_lines(L41_91_10, reverse_line(M42_91_10))
% 147.15/22.41
% 147.15/22.41 [7490] CLOSURE : ~left_convergent_lines(L41_91_10, M42_91_10)
% 147.15/22.41
% 147.15/22.41 [597] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41 -> [603] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [603] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41 -> [607] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.41 -> [608] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [608] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.41 -> [1295] ~distinct_points(C23_90_1, C23_90_1)
% 147.15/22.41
% 147.15/22.41 [1295] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.41 -> [1315] (distinct_points(C23_90_1, C23_90_1) => (distinct_points(C23_90_1, C23_90_1) | distinct_points(C23_90_1, C23_90_1)))
% 147.15/22.41
% 147.15/22.41 [1315] BETA_IMPLY : (distinct_points(C23_90_1, C23_90_1) => (distinct_points(C23_90_1, C23_90_1) | distinct_points(C23_90_1, C23_90_1)))
% 147.15/22.41 -> [1316] ~distinct_points(C23_90_1, C23_90_1)
% 147.15/22.41 -> [1317] (distinct_points(C23_90_1, C23_90_1) | distinct_points(C23_90_1, C23_90_1))
% 147.15/22.41
% 147.15/22.41 [1317] BETA_OR : (distinct_points(C23_90_1, C23_90_1) | distinct_points(C23_90_1, C23_90_1))
% 147.15/22.41 -> [1320] distinct_points(C23_90_1, C23_90_1)
% 147.15/22.41 -> [1321] distinct_points(C23_90_1, C23_90_1)
% 147.15/22.41
% 147.15/22.41 [1321] CLOSURE : distinct_points(C23_90_1, C23_90_1)
% 147.15/22.41
% 147.15/22.41 [1320] CLOSURE : distinct_points(C23_90_1, C23_90_1)
% 147.15/22.41
% 147.15/22.41 [1316] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.41 -> [1595] ~distinct_lines(N27_9_3, N27_9_3)
% 147.15/22.41
% 147.15/22.41 [1595] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.41 -> [1603] (distinct_lines(N27_9_3, N27_9_3) => (distinct_lines(N27_9_3, N27_9_3) | distinct_lines(N27_9_3, N27_9_3)))
% 147.15/22.41
% 147.15/22.41 [1603] BETA_IMPLY : (distinct_lines(N27_9_3, N27_9_3) => (distinct_lines(N27_9_3, N27_9_3) | distinct_lines(N27_9_3, N27_9_3)))
% 147.15/22.41 -> [1604] ~distinct_lines(N27_9_3, N27_9_3)
% 147.15/22.41 -> [1605] (distinct_lines(N27_9_3, N27_9_3) | distinct_lines(N27_9_3, N27_9_3))
% 147.15/22.41
% 147.15/22.41 [1605] BETA_OR : (distinct_lines(N27_9_3, N27_9_3) | distinct_lines(N27_9_3, N27_9_3))
% 147.15/22.41 -> [1609] distinct_lines(N27_9_3, N27_9_3)
% 147.15/22.41 -> [1610] distinct_lines(N27_9_3, N27_9_3)
% 147.15/22.41
% 147.15/22.41 [1610] CLOSURE : distinct_lines(N27_9_3, N27_9_3)
% 147.15/22.41
% 147.15/22.41 [1609] CLOSURE : distinct_lines(N27_9_3, N27_9_3)
% 147.15/22.41
% 147.15/22.41 [1604] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.41 -> [1632] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [1632] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.41 -> [1646] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [1646] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)))
% 147.15/22.41 -> [1649] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41 -> [1650] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [1649] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41
% 147.15/22.41 [1650] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878))
% 147.15/22.41 -> [2907] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41 -> [2908] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [2907] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [2908] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.41 -> [4545] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41
% 147.15/22.41 [4545] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41 -> [4546] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [4547] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [4546] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [4579] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [4580] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [4579] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [4580] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [4547] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [9610] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9611] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [9610] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9622] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [9622] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [9611] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9616] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [9616] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [9632] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [9632] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [9634] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [9635] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [9634] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [9648] ~line(skolem_M7878)
% 147.15/22.41 -> [9649] ~line(skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [9648] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [9747] ((unequally_directed_lines(skolem_N7979, M38_343_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_343_8))) => (left_convergent_lines(skolem_N7979, M38_343_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_343_8))))
% 147.15/22.41
% 147.15/22.41 [9747] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_343_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_343_8))) => (left_convergent_lines(skolem_N7979, M38_343_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_343_8))))
% 147.15/22.41 -> [9749] ~(unequally_directed_lines(skolem_N7979, M38_343_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_343_8)))
% 147.15/22.41 -> [9750] (left_convergent_lines(skolem_N7979, M38_343_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_343_8)))
% 147.15/22.41
% 147.15/22.41 [9750] BETA_OR : (left_convergent_lines(skolem_N7979, M38_343_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_343_8)))
% 147.15/22.41 -> [9752] left_convergent_lines(skolem_N7979, M38_343_8)
% 147.15/22.41 -> [9753] left_convergent_lines(skolem_N7979, reverse_line(M38_343_8))
% 147.15/22.41
% 147.15/22.41 [9752] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [9876] ~(left_apart_point(A39_675_9, L40_675_9) | left_apart_point(A39_675_9, reverse_line(L40_675_9)))
% 147.15/22.41
% 147.15/22.41 [9876] ALPHA_NOT_OR : ~(left_apart_point(A39_675_9, L40_675_9) | left_apart_point(A39_675_9, reverse_line(L40_675_9)))
% 147.15/22.41 -> [9880] ~left_apart_point(A39_675_9, L40_675_9), ~left_apart_point(A39_675_9, reverse_line(L40_675_9))
% 147.15/22.41
% 147.15/22.41 [9880] CLOSURE : ~left_apart_point(A39_675_9, L40_675_9)
% 147.15/22.41
% 147.15/22.41 [9753] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [10054] ~(left_apart_point(A39_693_9, L40_693_9) | left_apart_point(A39_693_9, reverse_line(L40_693_9)))
% 147.15/22.41
% 147.15/22.41 [10054] ALPHA_NOT_OR : ~(left_apart_point(A39_693_9, L40_693_9) | left_apart_point(A39_693_9, reverse_line(L40_693_9)))
% 147.15/22.41 -> [10055] ~left_apart_point(A39_693_9, L40_693_9), ~left_apart_point(A39_693_9, reverse_line(L40_693_9))
% 147.15/22.41
% 147.15/22.41 [10055] CLOSURE : ~left_apart_point(A39_693_9, L40_693_9)
% 147.15/22.41
% 147.15/22.41 [9749] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_343_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_343_8)))
% 147.15/22.41 -> [9778] ~unequally_directed_lines(skolem_N7979, M38_343_8)
% 147.15/22.41 -> [9779] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_343_8))
% 147.15/22.41
% 147.15/22.41 [9778] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_343_8)
% 147.15/22.41
% 147.15/22.41 [9779] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_343_8))
% 147.15/22.41
% 147.15/22.41 [9649] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [9723] ((unequally_directed_lines(skolem_N7979, M38_342_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_342_8))) => (left_convergent_lines(skolem_N7979, M38_342_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_342_8))))
% 147.15/22.41
% 147.15/22.41 [9723] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_342_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_342_8))) => (left_convergent_lines(skolem_N7979, M38_342_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_342_8))))
% 147.15/22.41 -> [9725] ~(unequally_directed_lines(skolem_N7979, M38_342_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_342_8)))
% 147.15/22.41 -> [9726] (left_convergent_lines(skolem_N7979, M38_342_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_342_8)))
% 147.15/22.41
% 147.15/22.41 [9725] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_342_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_342_8)))
% 147.15/22.41 -> [9759] ~unequally_directed_lines(skolem_N7979, M38_342_8)
% 147.15/22.41 -> [9760] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_342_8))
% 147.15/22.41
% 147.15/22.41 [9760] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_342_8))
% 147.15/22.41
% 147.15/22.41 [9759] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_342_8)
% 147.15/22.41
% 147.15/22.41 [9726] BETA_OR : (left_convergent_lines(skolem_N7979, M38_342_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_342_8)))
% 147.15/22.41 -> [9734] left_convergent_lines(skolem_N7979, M38_342_8)
% 147.15/22.41 -> [9735] left_convergent_lines(skolem_N7979, reverse_line(M38_342_8))
% 147.15/22.41
% 147.15/22.41 [9734] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [10071] ~(left_apart_point(A39_697_9, L40_697_9) | left_apart_point(A39_697_9, reverse_line(L40_697_9)))
% 147.15/22.41
% 147.15/22.41 [10071] ALPHA_NOT_OR : ~(left_apart_point(A39_697_9, L40_697_9) | left_apart_point(A39_697_9, reverse_line(L40_697_9)))
% 147.15/22.41 -> [10072] ~left_apart_point(A39_697_9, L40_697_9), ~left_apart_point(A39_697_9, reverse_line(L40_697_9))
% 147.15/22.41
% 147.15/22.41 [10072] CLOSURE : ~left_apart_point(A39_697_9, L40_697_9)
% 147.15/22.41
% 147.15/22.41 [9735] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [9852] ~(left_apart_point(A39_672_9, L40_672_9) | left_apart_point(A39_672_9, reverse_line(L40_672_9)))
% 147.15/22.41
% 147.15/22.41 [9852] ALPHA_NOT_OR : ~(left_apart_point(A39_672_9, L40_672_9) | left_apart_point(A39_672_9, reverse_line(L40_672_9)))
% 147.15/22.41 -> [9854] ~left_apart_point(A39_672_9, L40_672_9), ~left_apart_point(A39_672_9, reverse_line(L40_672_9))
% 147.15/22.41
% 147.15/22.41 [9854] CLOSURE : ~left_apart_point(A39_672_9, L40_672_9)
% 147.15/22.41
% 147.15/22.41 [9635] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9640] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41 -> [9641] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [9640] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [9641] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [9767] ((unequally_directed_lines(skolem_N7979, M38_344_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_344_8))) => (left_convergent_lines(skolem_N7979, M38_344_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_344_8))))
% 147.15/22.41
% 147.15/22.41 [9767] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_344_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_344_8))) => (left_convergent_lines(skolem_N7979, M38_344_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_344_8))))
% 147.15/22.41 -> [9770] ~(unequally_directed_lines(skolem_N7979, M38_344_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_344_8)))
% 147.15/22.41 -> [9771] (left_convergent_lines(skolem_N7979, M38_344_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_344_8)))
% 147.15/22.41
% 147.15/22.41 [9771] BETA_OR : (left_convergent_lines(skolem_N7979, M38_344_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_344_8)))
% 147.15/22.41 -> [9774] left_convergent_lines(skolem_N7979, M38_344_8)
% 147.15/22.41 -> [9775] left_convergent_lines(skolem_N7979, reverse_line(M38_344_8))
% 147.15/22.41
% 147.15/22.41 [9775] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [9869] ~(left_apart_point(A39_674_9, L40_674_9) | left_apart_point(A39_674_9, reverse_line(L40_674_9)))
% 147.15/22.41
% 147.15/22.41 [9869] ALPHA_NOT_OR : ~(left_apart_point(A39_674_9, L40_674_9) | left_apart_point(A39_674_9, reverse_line(L40_674_9)))
% 147.15/22.41 -> [9872] ~left_apart_point(A39_674_9, L40_674_9), ~left_apart_point(A39_674_9, reverse_line(L40_674_9))
% 147.15/22.41
% 147.15/22.41 [9872] CLOSURE : ~left_apart_point(A39_674_9, L40_674_9)
% 147.15/22.41
% 147.15/22.41 [9774] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [10065] ~(left_apart_point(A39_695_9, L40_695_9) | left_apart_point(A39_695_9, reverse_line(L40_695_9)))
% 147.15/22.41
% 147.15/22.41 [10065] ALPHA_NOT_OR : ~(left_apart_point(A39_695_9, L40_695_9) | left_apart_point(A39_695_9, reverse_line(L40_695_9)))
% 147.15/22.41 -> [10070] ~left_apart_point(A39_695_9, L40_695_9), ~left_apart_point(A39_695_9, reverse_line(L40_695_9))
% 147.15/22.41
% 147.15/22.41 [10070] CLOSURE : ~left_apart_point(A39_695_9, L40_695_9)
% 147.15/22.41
% 147.15/22.41 [9770] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_344_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_344_8)))
% 147.15/22.41 -> [9793] ~unequally_directed_lines(skolem_N7979, M38_344_8)
% 147.15/22.41 -> [9794] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_344_8))
% 147.15/22.41
% 147.15/22.41 [9793] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_344_8)
% 147.15/22.41
% 147.15/22.41 [9794] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_344_8))
% 147.15/22.41
% 147.15/22.41 [607] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.41 -> [1026] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1026] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.41 -> [1044] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.41
% 147.15/22.41 [1044] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.41 -> [1047] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [1048] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.41
% 147.15/22.41 [1047] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1048] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.41 -> [1825] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [1826] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1826] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1825] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.41 -> [2103] ~distinct_lines(N27_46_3, N27_46_3)
% 147.15/22.41
% 147.15/22.41 [2103] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.41 -> [2134] (distinct_lines(N27_46_3, N27_46_3) => (distinct_lines(N27_46_3, N27_46_3) | distinct_lines(N27_46_3, N27_46_3)))
% 147.15/22.41
% 147.15/22.41 [2134] BETA_IMPLY : (distinct_lines(N27_46_3, N27_46_3) => (distinct_lines(N27_46_3, N27_46_3) | distinct_lines(N27_46_3, N27_46_3)))
% 147.15/22.41 -> [2135] ~distinct_lines(N27_46_3, N27_46_3)
% 147.15/22.41 -> [2136] (distinct_lines(N27_46_3, N27_46_3) | distinct_lines(N27_46_3, N27_46_3))
% 147.15/22.41
% 147.15/22.41 [2136] BETA_OR : (distinct_lines(N27_46_3, N27_46_3) | distinct_lines(N27_46_3, N27_46_3))
% 147.15/22.41 -> [2137] distinct_lines(N27_46_3, N27_46_3)
% 147.15/22.41 -> [2138] distinct_lines(N27_46_3, N27_46_3)
% 147.15/22.41
% 147.15/22.41 [2137] CLOSURE : distinct_lines(N27_46_3, N27_46_3)
% 147.15/22.41
% 147.15/22.41 [2138] CLOSURE : distinct_lines(N27_46_3, N27_46_3)
% 147.15/22.41
% 147.15/22.41 [2135] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.41 -> [2162] ~unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41
% 147.15/22.41 [2162] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.41 -> [2195] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.15/22.41
% 147.15/22.41 [2195] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.15/22.41 -> [2196] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41 -> [2197] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.41
% 147.15/22.41 [2196] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41
% 147.15/22.41 [2197] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.41 -> [5361] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41 -> [5362] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41
% 147.15/22.41 [5362] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41
% 147.15/22.41 [5361] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.41 -> [6789] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_91_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_91_6))) | (unequally_directed_lines(skolem_N7979, N34_91_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_91_6)))))
% 147.15/22.41
% 147.15/22.41 [6789] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_91_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_91_6))) | (unequally_directed_lines(skolem_N7979, N34_91_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_91_6)))))
% 147.15/22.41 -> [6793] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [6794] ((unequally_directed_lines(skolem_M7878, N34_91_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_91_6))) | (unequally_directed_lines(skolem_N7979, N34_91_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_91_6))))
% 147.15/22.41
% 147.15/22.41 [6793] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [6811] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [6812] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [6812] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [6811] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [6794] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_91_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_91_6))) | (unequally_directed_lines(skolem_N7979, N34_91_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_91_6))))
% 147.15/22.41 -> [11111] (unequally_directed_lines(skolem_M7878, N34_91_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_91_6)))
% 147.15/22.41 -> [11112] (unequally_directed_lines(skolem_N7979, N34_91_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_91_6)))
% 147.15/22.41
% 147.15/22.41 [11111] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_91_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_91_6)))
% 147.15/22.41 -> [11125] unequally_directed_lines(skolem_M7878, N34_91_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_91_6))
% 147.15/22.41
% 147.15/22.41 [11125] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [11151] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.15/22.41
% 147.15/22.41 [11151] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.15/22.41 -> [11155] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.41 -> [11156] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.15/22.41
% 147.15/22.41 [11156] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.15/22.41 -> [11159] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41 -> [11160] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.41
% 147.15/22.41 [11159] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41
% 147.15/22.41 [11160] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [11219] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [11219] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [11221] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11222] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [11222] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11226] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [11227] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [11227] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11332] ~(left_apart_point(A39_850_9, L40_850_9) | left_apart_point(A39_850_9, reverse_line(L40_850_9)))
% 147.15/22.41
% 147.15/22.41 [11332] ALPHA_NOT_OR : ~(left_apart_point(A39_850_9, L40_850_9) | left_apart_point(A39_850_9, reverse_line(L40_850_9)))
% 147.15/22.41 -> [11333] ~left_apart_point(A39_850_9, L40_850_9), ~left_apart_point(A39_850_9, reverse_line(L40_850_9))
% 147.15/22.41
% 147.15/22.41 [11333] CLOSURE : ~left_apart_point(A39_850_9, L40_850_9)
% 147.15/22.41
% 147.15/22.41 [11226] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11371] ~(left_apart_point(A39_858_9, L40_858_9) | left_apart_point(A39_858_9, reverse_line(L40_858_9)))
% 147.15/22.41
% 147.15/22.41 [11371] ALPHA_NOT_OR : ~(left_apart_point(A39_858_9, L40_858_9) | left_apart_point(A39_858_9, reverse_line(L40_858_9)))
% 147.15/22.41 -> [11372] ~left_apart_point(A39_858_9, L40_858_9), ~left_apart_point(A39_858_9, reverse_line(L40_858_9))
% 147.15/22.41
% 147.15/22.41 [11372] CLOSURE : ~left_apart_point(A39_858_9, L40_858_9)
% 147.15/22.41
% 147.15/22.41 [11221] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11260] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [11261] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [11261] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [11260] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [11155] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.41 -> [11180] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41 -> [11181] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41
% 147.15/22.41 [11181] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [11210] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [11210] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [11211] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11212] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [11212] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11217] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [11218] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [11217] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11356] ~(left_apart_point(A39_854_9, L40_854_9) | left_apart_point(A39_854_9, reverse_line(L40_854_9)))
% 147.15/22.41
% 147.15/22.41 [11356] ALPHA_NOT_OR : ~(left_apart_point(A39_854_9, L40_854_9) | left_apart_point(A39_854_9, reverse_line(L40_854_9)))
% 147.15/22.41 -> [11357] ~left_apart_point(A39_854_9, L40_854_9), ~left_apart_point(A39_854_9, reverse_line(L40_854_9))
% 147.15/22.41
% 147.15/22.41 [11357] CLOSURE : ~left_apart_point(A39_854_9, L40_854_9)
% 147.15/22.41
% 147.15/22.41 [11218] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11361] ~(left_apart_point(A39_855_9, L40_855_9) | left_apart_point(A39_855_9, reverse_line(L40_855_9)))
% 147.15/22.41
% 147.15/22.41 [11361] ALPHA_NOT_OR : ~(left_apart_point(A39_855_9, L40_855_9) | left_apart_point(A39_855_9, reverse_line(L40_855_9)))
% 147.15/22.41 -> [11364] ~left_apart_point(A39_855_9, L40_855_9), ~left_apart_point(A39_855_9, reverse_line(L40_855_9))
% 147.15/22.41
% 147.15/22.41 [11364] CLOSURE : ~left_apart_point(A39_855_9, L40_855_9)
% 147.15/22.41
% 147.15/22.41 [11211] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11251] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [11252] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [11252] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [11251] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [11180] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [11584] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [11584] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [11586] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11587] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [11587] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11590] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [11591] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [11591] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11728] ~(left_apart_point(A39_894_9, L40_894_9) | left_apart_point(A39_894_9, reverse_line(L40_894_9)))
% 147.15/22.41
% 147.15/22.41 [11728] ALPHA_NOT_OR : ~(left_apart_point(A39_894_9, L40_894_9) | left_apart_point(A39_894_9, reverse_line(L40_894_9)))
% 147.15/22.41 -> [11729] ~left_apart_point(A39_894_9, L40_894_9), ~left_apart_point(A39_894_9, reverse_line(L40_894_9))
% 147.15/22.41
% 147.15/22.41 [11729] CLOSURE : ~left_apart_point(A39_894_9, L40_894_9)
% 147.15/22.41
% 147.15/22.41 [11590] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11737] ~(left_apart_point(A39_896_9, L40_896_9) | left_apart_point(A39_896_9, reverse_line(L40_896_9)))
% 147.15/22.41
% 147.15/22.41 [11737] ALPHA_NOT_OR : ~(left_apart_point(A39_896_9, L40_896_9) | left_apart_point(A39_896_9, reverse_line(L40_896_9)))
% 147.15/22.41 -> [11742] ~left_apart_point(A39_896_9, L40_896_9), ~left_apart_point(A39_896_9, reverse_line(L40_896_9))
% 147.15/22.41
% 147.15/22.41 [11742] CLOSURE : ~left_apart_point(A39_896_9, L40_896_9)
% 147.15/22.41
% 147.15/22.41 [11586] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11681] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [11682] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [11682] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [11681] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [11112] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_91_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_91_6)))
% 147.15/22.41 -> [11118] unequally_directed_lines(skolem_N7979, N34_91_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_91_6))
% 147.15/22.41
% 147.15/22.41 [11118] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [11141] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.15/22.41
% 147.15/22.41 [11141] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))))
% 147.15/22.41 -> [11144] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.41 -> [11145] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.15/22.41
% 147.15/22.41 [11144] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.41 -> [11167] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41 -> [11168] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41
% 147.15/22.41 [11167] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [11233] ((unequally_directed_lines(skolem_N7979, M38_432_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_432_8))) => (left_convergent_lines(skolem_N7979, M38_432_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_432_8))))
% 147.15/22.41
% 147.15/22.41 [11233] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_432_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_432_8))) => (left_convergent_lines(skolem_N7979, M38_432_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_432_8))))
% 147.15/22.41 -> [11237] ~(unequally_directed_lines(skolem_N7979, M38_432_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_432_8)))
% 147.15/22.41 -> [11238] (left_convergent_lines(skolem_N7979, M38_432_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_432_8)))
% 147.15/22.41
% 147.15/22.41 [11237] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_432_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_432_8)))
% 147.15/22.41 -> [11269] ~unequally_directed_lines(skolem_N7979, M38_432_8)
% 147.15/22.41 -> [11270] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_432_8))
% 147.15/22.41
% 147.15/22.41 [11270] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_432_8))
% 147.15/22.41
% 147.15/22.41 [11269] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_432_8)
% 147.15/22.41
% 147.15/22.41 [11238] BETA_OR : (left_convergent_lines(skolem_N7979, M38_432_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_432_8)))
% 147.15/22.41 -> [11243] left_convergent_lines(skolem_N7979, M38_432_8)
% 147.15/22.41 -> [11244] left_convergent_lines(skolem_N7979, reverse_line(M38_432_8))
% 147.15/22.41
% 147.15/22.41 [11244] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11348] ~(left_apart_point(A39_852_9, L40_852_9) | left_apart_point(A39_852_9, reverse_line(L40_852_9)))
% 147.15/22.41
% 147.15/22.41 [11348] ALPHA_NOT_OR : ~(left_apart_point(A39_852_9, L40_852_9) | left_apart_point(A39_852_9, reverse_line(L40_852_9)))
% 147.15/22.41 -> [11349] ~left_apart_point(A39_852_9, L40_852_9), ~left_apart_point(A39_852_9, reverse_line(L40_852_9))
% 147.15/22.41
% 147.15/22.41 [11349] CLOSURE : ~left_apart_point(A39_852_9, L40_852_9)
% 147.15/22.41
% 147.15/22.41 [11243] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11376] ~(left_apart_point(A39_861_9, L40_861_9) | left_apart_point(A39_861_9, reverse_line(L40_861_9)))
% 147.15/22.41
% 147.15/22.41 [11376] ALPHA_NOT_OR : ~(left_apart_point(A39_861_9, L40_861_9) | left_apart_point(A39_861_9, reverse_line(L40_861_9)))
% 147.15/22.41 -> [11378] ~left_apart_point(A39_861_9, L40_861_9), ~left_apart_point(A39_861_9, reverse_line(L40_861_9))
% 147.15/22.41
% 147.15/22.41 [11378] CLOSURE : ~left_apart_point(A39_861_9, L40_861_9)
% 147.15/22.41
% 147.15/22.41 [11168] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [11220] ((unequally_directed_lines(skolem_N7979, M38_431_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_431_8))) => (left_convergent_lines(skolem_N7979, M38_431_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_431_8))))
% 147.15/22.41
% 147.15/22.41 [11220] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_431_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_431_8))) => (left_convergent_lines(skolem_N7979, M38_431_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_431_8))))
% 147.15/22.41 -> [11223] ~(unequally_directed_lines(skolem_N7979, M38_431_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_431_8)))
% 147.15/22.41 -> [11224] (left_convergent_lines(skolem_N7979, M38_431_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_431_8)))
% 147.15/22.41
% 147.15/22.41 [11224] BETA_OR : (left_convergent_lines(skolem_N7979, M38_431_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_431_8)))
% 147.15/22.41 -> [11228] left_convergent_lines(skolem_N7979, M38_431_8)
% 147.15/22.41 -> [11229] left_convergent_lines(skolem_N7979, reverse_line(M38_431_8))
% 147.15/22.41
% 147.15/22.41 [11229] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11328] ~(left_apart_point(A39_849_9, L40_849_9) | left_apart_point(A39_849_9, reverse_line(L40_849_9)))
% 147.15/22.41
% 147.15/22.41 [11328] ALPHA_NOT_OR : ~(left_apart_point(A39_849_9, L40_849_9) | left_apart_point(A39_849_9, reverse_line(L40_849_9)))
% 147.15/22.41 -> [11331] ~left_apart_point(A39_849_9, L40_849_9), ~left_apart_point(A39_849_9, reverse_line(L40_849_9))
% 147.15/22.41
% 147.15/22.41 [11331] CLOSURE : ~left_apart_point(A39_849_9, L40_849_9)
% 147.15/22.41
% 147.15/22.41 [11228] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11362] ~(left_apart_point(A39_856_9, L40_856_9) | left_apart_point(A39_856_9, reverse_line(L40_856_9)))
% 147.15/22.41
% 147.15/22.41 [11362] ALPHA_NOT_OR : ~(left_apart_point(A39_856_9, L40_856_9) | left_apart_point(A39_856_9, reverse_line(L40_856_9)))
% 147.15/22.41 -> [11367] ~left_apart_point(A39_856_9, L40_856_9), ~left_apart_point(A39_856_9, reverse_line(L40_856_9))
% 147.15/22.41
% 147.15/22.41 [11367] CLOSURE : ~left_apart_point(A39_856_9, L40_856_9)
% 147.15/22.41
% 147.15/22.41 [11223] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_431_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_431_8)))
% 147.15/22.41 -> [11262] ~unequally_directed_lines(skolem_N7979, M38_431_8)
% 147.15/22.41 -> [11263] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_431_8))
% 147.15/22.41
% 147.15/22.41 [11263] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_431_8))
% 147.15/22.41
% 147.15/22.41 [11262] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_431_8)
% 147.15/22.41
% 147.15/22.41 [11145] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))))
% 147.15/22.41 -> [11148] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41 -> [11149] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.41
% 147.15/22.41 [11148] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41
% 147.15/22.41 [11149] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [11301] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.41
% 147.15/22.41 [11301] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.41 -> [11303] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [11304] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41
% 147.15/22.41 [11303] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [11335] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [11336] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [11336] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [11335] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [11304] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [11308] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [11309] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [11309] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11481] ~(left_apart_point(A39_879_9, L40_879_9) | left_apart_point(A39_879_9, reverse_line(L40_879_9)))
% 147.15/22.41
% 147.15/22.41 [11481] ALPHA_NOT_OR : ~(left_apart_point(A39_879_9, L40_879_9) | left_apart_point(A39_879_9, reverse_line(L40_879_9)))
% 147.15/22.41 -> [11484] ~left_apart_point(A39_879_9, L40_879_9), ~left_apart_point(A39_879_9, reverse_line(L40_879_9))
% 147.15/22.41
% 147.15/22.41 [11484] CLOSURE : ~left_apart_point(A39_879_9, L40_879_9)
% 147.15/22.41
% 147.15/22.41 [11308] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11871] ~(left_apart_point(A39_913_9, L40_913_9) | left_apart_point(A39_913_9, reverse_line(L40_913_9)))
% 147.15/22.41
% 147.15/22.41 [11871] ALPHA_NOT_OR : ~(left_apart_point(A39_913_9, L40_913_9) | left_apart_point(A39_913_9, reverse_line(L40_913_9)))
% 147.15/22.41 -> [11874] ~left_apart_point(A39_913_9, L40_913_9), ~left_apart_point(A39_913_9, reverse_line(L40_913_9))
% 147.15/22.41
% 147.15/22.41 [11874] CLOSURE : ~left_apart_point(A39_913_9, L40_913_9)
% 147.15/22.41
% 147.15/22.41 [156] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.41 -> [173] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [174] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [174] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.41 -> [185] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [185] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.41 -> [1124] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [1125] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [1125] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41 -> [1132] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [1132] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41 -> [1134] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.41 -> [1135] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [1134] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.41 -> [1179] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.41
% 147.15/22.41 [1179] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.41 -> [1210] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.41
% 147.15/22.41 [1210] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.41 -> [1211] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [1212] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [1211] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1212] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.41 -> [2026] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.41 -> [2027] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.41
% 147.15/22.41 [2026] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.41
% 147.15/22.41 [2027] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.41 -> [2952] ~distinct_lines(N27_90_3, N27_90_3)
% 147.15/22.41
% 147.15/22.41 [2952] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.41 -> [3010] (distinct_lines(N27_90_3, N27_90_3) => (distinct_lines(N27_90_3, N27_90_3) | distinct_lines(N27_90_3, N27_90_3)))
% 147.15/22.41
% 147.15/22.41 [3010] BETA_IMPLY : (distinct_lines(N27_90_3, N27_90_3) => (distinct_lines(N27_90_3, N27_90_3) | distinct_lines(N27_90_3, N27_90_3)))
% 147.15/22.41 -> [3013] ~distinct_lines(N27_90_3, N27_90_3)
% 147.15/22.41 -> [3014] (distinct_lines(N27_90_3, N27_90_3) | distinct_lines(N27_90_3, N27_90_3))
% 147.15/22.41
% 147.15/22.41 [3014] BETA_OR : (distinct_lines(N27_90_3, N27_90_3) | distinct_lines(N27_90_3, N27_90_3))
% 147.15/22.41 -> [3018] distinct_lines(N27_90_3, N27_90_3)
% 147.15/22.41 -> [3019] distinct_lines(N27_90_3, N27_90_3)
% 147.15/22.41
% 147.15/22.41 [3019] CLOSURE : distinct_lines(N27_90_3, N27_90_3)
% 147.15/22.41
% 147.15/22.41 [3018] CLOSURE : distinct_lines(N27_90_3, N27_90_3)
% 147.15/22.41
% 147.15/22.41 [3013] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.41 -> [3048] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [3048] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.41 -> [3101] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.41
% 147.15/22.41 [3101] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.41 -> [3104] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [3105] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.41
% 147.15/22.41 [3104] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [3105] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.41 -> [4159] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.41 -> [4160] unequally_directed_lines(skolem_M7878, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [4159] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [4160] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.41 -> [4244] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41
% 147.15/22.41 [4244] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41 -> [4245] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [4246] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [4245] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [4261] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [4262] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [4262] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [4261] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [4246] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [4799] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [4800] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [4799] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [4843] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [4843] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [4801] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [7134] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [7134] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [7135] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [7136] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [7136] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [7137] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41 -> [7138] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [7137] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [7138] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [7805] ((unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [7805] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [7808] ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [7809] (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [7808] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [7844] ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.41 -> [7845] ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [7845] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [7844] CLOSURE : ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [7809] BETA_OR : (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [7817] left_convergent_lines(skolem_N7979, skolem_M7878)
% 147.15/22.41 -> [7818] left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [7817] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [7928] ~(left_apart_point(A39_421_9, L40_421_9) | left_apart_point(A39_421_9, reverse_line(L40_421_9)))
% 147.15/22.41
% 147.15/22.41 [7928] ALPHA_NOT_OR : ~(left_apart_point(A39_421_9, L40_421_9) | left_apart_point(A39_421_9, reverse_line(L40_421_9)))
% 147.15/22.41 -> [7930] ~left_apart_point(A39_421_9, L40_421_9), ~left_apart_point(A39_421_9, reverse_line(L40_421_9))
% 147.15/22.41
% 147.15/22.41 [7930] CLOSURE : ~left_apart_point(A39_421_9, L40_421_9)
% 147.15/22.41
% 147.15/22.41 [7818] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [8052] ~(left_apart_point(A39_435_9, L40_435_9) | left_apart_point(A39_435_9, reverse_line(L40_435_9)))
% 147.15/22.41
% 147.15/22.41 [8052] ALPHA_NOT_OR : ~(left_apart_point(A39_435_9, L40_435_9) | left_apart_point(A39_435_9, reverse_line(L40_435_9)))
% 147.15/22.41 -> [8057] ~left_apart_point(A39_435_9, L40_435_9), ~left_apart_point(A39_435_9, reverse_line(L40_435_9))
% 147.15/22.41
% 147.15/22.41 [8057] CLOSURE : ~left_apart_point(A39_435_9, L40_435_9)
% 147.15/22.41
% 147.15/22.41 [7135] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [7213] ~line(skolem_M7878)
% 147.15/22.41 -> [7214] ~line(skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [7213] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [7702] ((unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [7702] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [7704] ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [7705] (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [7705] BETA_OR : (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [7708] left_convergent_lines(skolem_N7979, skolem_M7878)
% 147.15/22.41 -> [7709] left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [7708] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [7858] ~(left_apart_point(A39_407_9, L40_407_9) | left_apart_point(A39_407_9, reverse_line(L40_407_9)))
% 147.15/22.41
% 147.15/22.41 [7858] ALPHA_NOT_OR : ~(left_apart_point(A39_407_9, L40_407_9) | left_apart_point(A39_407_9, reverse_line(L40_407_9)))
% 147.15/22.41 -> [7862] ~left_apart_point(A39_407_9, L40_407_9), ~left_apart_point(A39_407_9, reverse_line(L40_407_9))
% 147.15/22.41
% 147.15/22.41 [7862] CLOSURE : ~left_apart_point(A39_407_9, L40_407_9)
% 147.15/22.41
% 147.15/22.41 [7709] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [7864] ~(left_apart_point(A39_409_9, L40_409_9) | left_apart_point(A39_409_9, reverse_line(L40_409_9)))
% 147.15/22.41
% 147.15/22.41 [7864] ALPHA_NOT_OR : ~(left_apart_point(A39_409_9, L40_409_9) | left_apart_point(A39_409_9, reverse_line(L40_409_9)))
% 147.15/22.41 -> [7865] ~left_apart_point(A39_409_9, L40_409_9), ~left_apart_point(A39_409_9, reverse_line(L40_409_9))
% 147.15/22.41
% 147.15/22.41 [7865] CLOSURE : ~left_apart_point(A39_409_9, L40_409_9)
% 147.15/22.41
% 147.15/22.41 [7704] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [7744] ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.41 -> [7745] ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [7745] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [7744] CLOSURE : ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [7214] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [7653] ((unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [7653] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [7656] ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [7657] (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [7657] BETA_OR : (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [7666] left_convergent_lines(skolem_N7979, skolem_M7878)
% 147.15/22.41 -> [7667] left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [7667] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [7730] ~(left_apart_point(A39_385_9, L40_385_9) | left_apart_point(A39_385_9, reverse_line(L40_385_9)))
% 147.15/22.41
% 147.15/22.41 [7730] ALPHA_NOT_OR : ~(left_apart_point(A39_385_9, L40_385_9) | left_apart_point(A39_385_9, reverse_line(L40_385_9)))
% 147.15/22.41 -> [7733] ~left_apart_point(A39_385_9, L40_385_9), ~left_apart_point(A39_385_9, reverse_line(L40_385_9))
% 147.15/22.41
% 147.15/22.41 [7733] CLOSURE : ~left_apart_point(A39_385_9, L40_385_9)
% 147.15/22.41
% 147.15/22.41 [7666] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [7949] ~(left_apart_point(A39_422_9, L40_422_9) | left_apart_point(A39_422_9, reverse_line(L40_422_9)))
% 147.15/22.41
% 147.15/22.41 [7949] ALPHA_NOT_OR : ~(left_apart_point(A39_422_9, L40_422_9) | left_apart_point(A39_422_9, reverse_line(L40_422_9)))
% 147.15/22.41 -> [7952] ~left_apart_point(A39_422_9, L40_422_9), ~left_apart_point(A39_422_9, reverse_line(L40_422_9))
% 147.15/22.41
% 147.15/22.41 [7952] CLOSURE : ~left_apart_point(A39_422_9, L40_422_9)
% 147.15/22.41
% 147.15/22.41 [7656] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [7680] ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.41 -> [7681] ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [7681] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [7680] CLOSURE : ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [1135] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.41 -> [1176] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1176] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.41 -> [1205] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.41
% 147.15/22.41 [1205] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.41 -> [1206] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [1207] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.41
% 147.15/22.41 [1206] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1207] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.41 -> [3481] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [3482] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [3482] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [3481] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.41 -> [4757] ~distinct_lines(N27_123_3, N27_123_3)
% 147.15/22.41
% 147.15/22.41 [4757] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.41 -> [4940] (distinct_lines(N27_123_3, N27_123_3) => (distinct_lines(N27_123_3, N27_123_3) | distinct_lines(N27_123_3, N27_123_3)))
% 147.15/22.41
% 147.15/22.41 [4940] BETA_IMPLY : (distinct_lines(N27_123_3, N27_123_3) => (distinct_lines(N27_123_3, N27_123_3) | distinct_lines(N27_123_3, N27_123_3)))
% 147.15/22.41 -> [4942] ~distinct_lines(N27_123_3, N27_123_3)
% 147.15/22.41 -> [4943] (distinct_lines(N27_123_3, N27_123_3) | distinct_lines(N27_123_3, N27_123_3))
% 147.15/22.41
% 147.15/22.41 [4943] BETA_OR : (distinct_lines(N27_123_3, N27_123_3) | distinct_lines(N27_123_3, N27_123_3))
% 147.15/22.41 -> [4949] distinct_lines(N27_123_3, N27_123_3)
% 147.15/22.41 -> [4950] distinct_lines(N27_123_3, N27_123_3)
% 147.15/22.41
% 147.15/22.41 [4950] CLOSURE : distinct_lines(N27_123_3, N27_123_3)
% 147.15/22.41
% 147.15/22.41 [4949] CLOSURE : distinct_lines(N27_123_3, N27_123_3)
% 147.15/22.41
% 147.15/22.41 [4942] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.41 -> [5159] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [5159] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.41 -> [5237] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.41
% 147.15/22.41 [5237] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.41 -> [5238] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.41 -> [5239] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.41
% 147.15/22.41 [5238] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [5239] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.41 -> [5455] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.41 -> [5456] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [5456] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [5455] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.41 -> [5495] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))))
% 147.15/22.41
% 147.15/22.41 [5495] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))))
% 147.15/22.41 -> [5501] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [5502] ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.15/22.41
% 147.15/22.41 [5501] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [5695] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [5696] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [5696] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [5695] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [5502] BETA_OR : ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.15/22.41 -> [9572] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.41 -> [9573] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.41
% 147.15/22.41 [9572] ALPHA_AND : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.41 -> [9602] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.41
% 147.15/22.41 [9602] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.41
% 147.15/22.41 [9573] ALPHA_AND : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.41 -> [9578] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)), unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.41
% 147.15/22.41 [9578] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [9739] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.15/22.41
% 147.15/22.41 [9739] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.15/22.41 -> [9740] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.41 -> [9741] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.41
% 147.15/22.41 [9740] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.41 -> [9765] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.41 -> [9766] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [9765] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [9855] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [9855] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [9859] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9860] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [9860] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9863] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [9864] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [9864] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [9976] ~(left_apart_point(A39_680_9, L40_680_9) | left_apart_point(A39_680_9, reverse_line(L40_680_9)))
% 147.15/22.41
% 147.15/22.41 [9976] ALPHA_NOT_OR : ~(left_apart_point(A39_680_9, L40_680_9) | left_apart_point(A39_680_9, reverse_line(L40_680_9)))
% 147.15/22.41 -> [9977] ~left_apart_point(A39_680_9, L40_680_9), ~left_apart_point(A39_680_9, reverse_line(L40_680_9))
% 147.15/22.41
% 147.15/22.41 [9977] CLOSURE : ~left_apart_point(A39_680_9, L40_680_9)
% 147.15/22.41
% 147.15/22.41 [9863] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [10028] ~(left_apart_point(A39_688_9, L40_688_9) | left_apart_point(A39_688_9, reverse_line(L40_688_9)))
% 147.15/22.41
% 147.15/22.41 [10028] ALPHA_NOT_OR : ~(left_apart_point(A39_688_9, L40_688_9) | left_apart_point(A39_688_9, reverse_line(L40_688_9)))
% 147.15/22.41 -> [10030] ~left_apart_point(A39_688_9, L40_688_9), ~left_apart_point(A39_688_9, reverse_line(L40_688_9))
% 147.15/22.41
% 147.15/22.41 [10030] CLOSURE : ~left_apart_point(A39_688_9, L40_688_9)
% 147.15/22.41
% 147.15/22.41 [9859] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9885] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [9886] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [9886] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [9885] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [9766] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [9819] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [9819] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [9821] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9822] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [9821] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9870] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [9871] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [9871] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [9870] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [9822] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9830] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [9831] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [9830] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [10023] ~(left_apart_point(A39_687_9, L40_687_9) | left_apart_point(A39_687_9, reverse_line(L40_687_9)))
% 147.15/22.41
% 147.15/22.41 [10023] ALPHA_NOT_OR : ~(left_apart_point(A39_687_9, L40_687_9) | left_apart_point(A39_687_9, reverse_line(L40_687_9)))
% 147.15/22.41 -> [10027] ~left_apart_point(A39_687_9, L40_687_9), ~left_apart_point(A39_687_9, reverse_line(L40_687_9))
% 147.15/22.41
% 147.15/22.41 [10027] CLOSURE : ~left_apart_point(A39_687_9, L40_687_9)
% 147.15/22.41
% 147.15/22.41 [9831] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [9952] ~(left_apart_point(A39_678_9, L40_678_9) | left_apart_point(A39_678_9, reverse_line(L40_678_9)))
% 147.15/22.41
% 147.15/22.41 [9952] ALPHA_NOT_OR : ~(left_apart_point(A39_678_9, L40_678_9) | left_apart_point(A39_678_9, reverse_line(L40_678_9)))
% 147.15/22.41 -> [9955] ~left_apart_point(A39_678_9, L40_678_9), ~left_apart_point(A39_678_9, reverse_line(L40_678_9))
% 147.15/22.41
% 147.15/22.41 [9955] CLOSURE : ~left_apart_point(A39_678_9, L40_678_9)
% 147.15/22.41
% 147.15/22.41 [9741] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.41 -> [9745] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.41 -> [9746] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.41
% 147.15/22.41 [9745] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [9746] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [9836] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [9836] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [9838] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9839] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [9838] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9996] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [9997] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [9997] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [9996] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [9839] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9845] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [9846] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [9846] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [10049] ~(left_apart_point(A39_692_9, L40_692_9) | left_apart_point(A39_692_9, reverse_line(L40_692_9)))
% 147.15/22.41
% 147.15/22.41 [10049] ALPHA_NOT_OR : ~(left_apart_point(A39_692_9, L40_692_9) | left_apart_point(A39_692_9, reverse_line(L40_692_9)))
% 147.15/22.41 -> [10053] ~left_apart_point(A39_692_9, L40_692_9), ~left_apart_point(A39_692_9, reverse_line(L40_692_9))
% 147.15/22.41
% 147.15/22.41 [10053] CLOSURE : ~left_apart_point(A39_692_9, L40_692_9)
% 147.15/22.41
% 147.15/22.41 [9845] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11062] ~(left_apart_point(A39_826_9, L40_826_9) | left_apart_point(A39_826_9, reverse_line(L40_826_9)))
% 147.15/22.41
% 147.15/22.41 [11062] ALPHA_NOT_OR : ~(left_apart_point(A39_826_9, L40_826_9) | left_apart_point(A39_826_9, reverse_line(L40_826_9)))
% 147.15/22.41 -> [11063] ~left_apart_point(A39_826_9, L40_826_9), ~left_apart_point(A39_826_9, reverse_line(L40_826_9))
% 147.15/22.41
% 147.15/22.41 [11063] CLOSURE : ~left_apart_point(A39_826_9, L40_826_9)
% 147.15/22.41
% 147.15/22.41 [1124] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [1144] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.41 -> [1145] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [1145] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [1148] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [1148] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [1151] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41 -> [1152] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [1151] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [1152] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [1144] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.41 -> [1167] ~distinct_points(A20_87_0, A20_87_0)
% 147.15/22.41
% 147.15/22.41 [1167] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.41 -> [1183] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.41
% 147.15/22.41 [1183] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.41 -> [1184] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [1185] (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41
% 147.15/22.41 [1184] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1185] BETA_OR : (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.41 -> [2051] distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.41 -> [2052] distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.41
% 147.15/22.41 [2051] CLOSURE : distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.41
% 147.15/22.41 [2052] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.41 -> [3041] ~distinct_lines(N27_94_3, N27_94_3)
% 147.15/22.41
% 147.15/22.41 [3041] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.41 -> [3072] (distinct_lines(N27_94_3, N27_94_3) => (distinct_lines(N27_94_3, N27_94_3) | distinct_lines(N27_94_3, N27_94_3)))
% 147.15/22.41
% 147.15/22.41 [3072] BETA_IMPLY : (distinct_lines(N27_94_3, N27_94_3) => (distinct_lines(N27_94_3, N27_94_3) | distinct_lines(N27_94_3, N27_94_3)))
% 147.15/22.41 -> [3073] ~distinct_lines(N27_94_3, N27_94_3)
% 147.15/22.41 -> [3074] (distinct_lines(N27_94_3, N27_94_3) | distinct_lines(N27_94_3, N27_94_3))
% 147.15/22.41
% 147.15/22.41 [3074] BETA_OR : (distinct_lines(N27_94_3, N27_94_3) | distinct_lines(N27_94_3, N27_94_3))
% 147.15/22.41 -> [3076] distinct_lines(N27_94_3, N27_94_3)
% 147.15/22.41 -> [3077] distinct_lines(N27_94_3, N27_94_3)
% 147.15/22.41
% 147.15/22.41 [3077] CLOSURE : distinct_lines(N27_94_3, N27_94_3)
% 147.15/22.41
% 147.15/22.41 [3076] CLOSURE : distinct_lines(N27_94_3, N27_94_3)
% 147.15/22.41
% 147.15/22.41 [3073] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.41 -> [3147] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [3147] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.41 -> [3206] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [3206] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878)))
% 147.15/22.41 -> [3207] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.41 -> [3208] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [3207] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [3208] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878))
% 147.15/22.41 -> [4081] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41 -> [4082] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [4081] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [4082] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.41 -> [6441] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41
% 147.15/22.41 [6441] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41 -> [6447] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [6448] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [6447] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [6473] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [6474] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [6474] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [6473] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [6448] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [8577] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [8578] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [8577] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [8603] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [8603] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [8578] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [8579] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [8579] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [8764] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [8764] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [8765] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [8766] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [8766] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [8771] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41 -> [8772] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [8771] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [8772] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [8903] ((unequally_directed_lines(skolem_N7979, M38_288_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_288_8))) => (left_convergent_lines(skolem_N7979, M38_288_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_288_8))))
% 147.15/22.41
% 147.15/22.41 [8903] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_288_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_288_8))) => (left_convergent_lines(skolem_N7979, M38_288_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_288_8))))
% 147.15/22.41 -> [8906] ~(unequally_directed_lines(skolem_N7979, M38_288_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_288_8)))
% 147.15/22.41 -> [8907] (left_convergent_lines(skolem_N7979, M38_288_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_288_8)))
% 147.15/22.41
% 147.15/22.41 [8906] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_288_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_288_8)))
% 147.15/22.41 -> [8955] ~unequally_directed_lines(skolem_N7979, M38_288_8)
% 147.15/22.41 -> [8956] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_288_8))
% 147.15/22.41
% 147.15/22.41 [8956] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_288_8))
% 147.15/22.41
% 147.15/22.41 [8955] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_288_8)
% 147.15/22.41
% 147.15/22.41 [8907] BETA_OR : (left_convergent_lines(skolem_N7979, M38_288_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_288_8)))
% 147.15/22.41 -> [8910] left_convergent_lines(skolem_N7979, M38_288_8)
% 147.15/22.41 -> [8911] left_convergent_lines(skolem_N7979, reverse_line(M38_288_8))
% 147.15/22.41
% 147.15/22.41 [8910] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [9048] ~(left_apart_point(A39_570_9, L40_570_9) | left_apart_point(A39_570_9, reverse_line(L40_570_9)))
% 147.15/22.41
% 147.15/22.41 [9048] ALPHA_NOT_OR : ~(left_apart_point(A39_570_9, L40_570_9) | left_apart_point(A39_570_9, reverse_line(L40_570_9)))
% 147.15/22.41 -> [9051] ~left_apart_point(A39_570_9, L40_570_9), ~left_apart_point(A39_570_9, reverse_line(L40_570_9))
% 147.15/22.41
% 147.15/22.41 [9051] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [10464] ~(left_convergent_lines(L41_198_10, M42_198_10) | left_convergent_lines(L41_198_10, reverse_line(M42_198_10)))
% 147.15/22.41
% 147.15/22.41 [10464] ALPHA_NOT_OR : ~(left_convergent_lines(L41_198_10, M42_198_10) | left_convergent_lines(L41_198_10, reverse_line(M42_198_10)))
% 147.15/22.41 -> [10466] ~left_convergent_lines(L41_198_10, M42_198_10), ~left_convergent_lines(L41_198_10, reverse_line(M42_198_10))
% 147.15/22.41
% 147.15/22.41 [10466] CLOSURE : ~left_convergent_lines(L41_198_10, M42_198_10)
% 147.15/22.41
% 147.15/22.41 [8911] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [9015] ~(left_apart_point(A39_564_9, L40_564_9) | left_apart_point(A39_564_9, reverse_line(L40_564_9)))
% 147.15/22.41
% 147.15/22.41 [9015] ALPHA_NOT_OR : ~(left_apart_point(A39_564_9, L40_564_9) | left_apart_point(A39_564_9, reverse_line(L40_564_9)))
% 147.15/22.41 -> [9017] ~left_apart_point(A39_564_9, L40_564_9), ~left_apart_point(A39_564_9, reverse_line(L40_564_9))
% 147.15/22.41
% 147.15/22.41 [9017] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [10328] ~(left_convergent_lines(L41_190_10, M42_190_10) | left_convergent_lines(L41_190_10, reverse_line(M42_190_10)))
% 147.15/22.41
% 147.15/22.41 [10328] ALPHA_NOT_OR : ~(left_convergent_lines(L41_190_10, M42_190_10) | left_convergent_lines(L41_190_10, reverse_line(M42_190_10)))
% 147.15/22.41 -> [10329] ~left_convergent_lines(L41_190_10, M42_190_10), ~left_convergent_lines(L41_190_10, reverse_line(M42_190_10))
% 147.15/22.41
% 147.15/22.41 [10329] CLOSURE : ~left_convergent_lines(L41_190_10, M42_190_10)
% 147.15/22.41
% 147.15/22.41 [8765] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [8785] ~line(skolem_M7878)
% 147.15/22.41 -> [8786] ~line(skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [8785] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [8936] ((unequally_directed_lines(skolem_N7979, M38_289_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_289_8))) => (left_convergent_lines(skolem_N7979, M38_289_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_289_8))))
% 147.15/22.41
% 147.15/22.41 [8936] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_289_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_289_8))) => (left_convergent_lines(skolem_N7979, M38_289_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_289_8))))
% 147.15/22.41 -> [8938] ~(unequally_directed_lines(skolem_N7979, M38_289_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_289_8)))
% 147.15/22.41 -> [8939] (left_convergent_lines(skolem_N7979, M38_289_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_289_8)))
% 147.15/22.41
% 147.15/22.41 [8938] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_289_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_289_8)))
% 147.15/22.41 -> [8984] ~unequally_directed_lines(skolem_N7979, M38_289_8)
% 147.15/22.41 -> [8985] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_289_8))
% 147.15/22.41
% 147.15/22.41 [8985] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_289_8))
% 147.15/22.41
% 147.15/22.41 [8984] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_289_8)
% 147.15/22.41
% 147.15/22.41 [8939] BETA_OR : (left_convergent_lines(skolem_N7979, M38_289_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_289_8)))
% 147.15/22.41 -> [8943] left_convergent_lines(skolem_N7979, M38_289_8)
% 147.15/22.41 -> [8944] left_convergent_lines(skolem_N7979, reverse_line(M38_289_8))
% 147.15/22.41
% 147.15/22.41 [8944] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [9016] ~(left_apart_point(A39_565_9, L40_565_9) | left_apart_point(A39_565_9, reverse_line(L40_565_9)))
% 147.15/22.41
% 147.15/22.41 [9016] ALPHA_NOT_OR : ~(left_apart_point(A39_565_9, L40_565_9) | left_apart_point(A39_565_9, reverse_line(L40_565_9)))
% 147.15/22.41 -> [9018] ~left_apart_point(A39_565_9, L40_565_9), ~left_apart_point(A39_565_9, reverse_line(L40_565_9))
% 147.15/22.41
% 147.15/22.41 [9018] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [9114] ~(left_convergent_lines(L41_172_10, M42_172_10) | left_convergent_lines(L41_172_10, reverse_line(M42_172_10)))
% 147.15/22.41
% 147.15/22.41 [9114] ALPHA_NOT_OR : ~(left_convergent_lines(L41_172_10, M42_172_10) | left_convergent_lines(L41_172_10, reverse_line(M42_172_10)))
% 147.15/22.41 -> [9115] ~left_convergent_lines(L41_172_10, M42_172_10), ~left_convergent_lines(L41_172_10, reverse_line(M42_172_10))
% 147.15/22.41
% 147.15/22.41 [9115] CLOSURE : ~left_convergent_lines(L41_172_10, M42_172_10)
% 147.15/22.41
% 147.15/22.41 [8943] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [9515] ~(left_apart_point(A39_611_9, L40_611_9) | left_apart_point(A39_611_9, reverse_line(L40_611_9)))
% 147.15/22.41
% 147.15/22.41 [9515] ALPHA_NOT_OR : ~(left_apart_point(A39_611_9, L40_611_9) | left_apart_point(A39_611_9, reverse_line(L40_611_9)))
% 147.15/22.41 -> [9518] ~left_apart_point(A39_611_9, L40_611_9), ~left_apart_point(A39_611_9, reverse_line(L40_611_9))
% 147.15/22.41
% 147.15/22.41 [9518] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [9671] ~(left_convergent_lines(L41_180_10, M42_180_10) | left_convergent_lines(L41_180_10, reverse_line(M42_180_10)))
% 147.15/22.41
% 147.15/22.41 [9671] ALPHA_NOT_OR : ~(left_convergent_lines(L41_180_10, M42_180_10) | left_convergent_lines(L41_180_10, reverse_line(M42_180_10)))
% 147.15/22.41 -> [9673] ~left_convergent_lines(L41_180_10, M42_180_10), ~left_convergent_lines(L41_180_10, reverse_line(M42_180_10))
% 147.15/22.41
% 147.15/22.41 [9673] CLOSURE : ~left_convergent_lines(L41_180_10, M42_180_10)
% 147.15/22.41
% 147.15/22.41 [8786] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [8888] ((unequally_directed_lines(skolem_N7979, M38_286_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_286_8))) => (left_convergent_lines(skolem_N7979, M38_286_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_286_8))))
% 147.15/22.41
% 147.15/22.41 [8888] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_286_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_286_8))) => (left_convergent_lines(skolem_N7979, M38_286_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_286_8))))
% 147.15/22.41 -> [8891] ~(unequally_directed_lines(skolem_N7979, M38_286_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_286_8)))
% 147.15/22.41 -> [8892] (left_convergent_lines(skolem_N7979, M38_286_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_286_8)))
% 147.15/22.41
% 147.15/22.41 [8891] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_286_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_286_8)))
% 147.15/22.41 -> [8947] ~unequally_directed_lines(skolem_N7979, M38_286_8)
% 147.15/22.41 -> [8948] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_286_8))
% 147.15/22.41
% 147.15/22.41 [8948] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_286_8))
% 147.15/22.41
% 147.15/22.41 [8947] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_286_8)
% 147.15/22.41
% 147.15/22.41 [8892] BETA_OR : (left_convergent_lines(skolem_N7979, M38_286_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_286_8)))
% 147.15/22.41 -> [8895] left_convergent_lines(skolem_N7979, M38_286_8)
% 147.15/22.41 -> [8896] left_convergent_lines(skolem_N7979, reverse_line(M38_286_8))
% 147.15/22.41
% 147.15/22.41 [8895] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [9318] ~(left_apart_point(A39_596_9, L40_596_9) | left_apart_point(A39_596_9, reverse_line(L40_596_9)))
% 147.15/22.41
% 147.15/22.41 [9318] ALPHA_NOT_OR : ~(left_apart_point(A39_596_9, L40_596_9) | left_apart_point(A39_596_9, reverse_line(L40_596_9)))
% 147.15/22.41 -> [9319] ~left_apart_point(A39_596_9, L40_596_9), ~left_apart_point(A39_596_9, reverse_line(L40_596_9))
% 147.15/22.41
% 147.15/22.41 [9319] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [9347] ~(left_convergent_lines(L41_179_10, M42_179_10) | left_convergent_lines(L41_179_10, reverse_line(M42_179_10)))
% 147.15/22.41
% 147.15/22.41 [9347] ALPHA_NOT_OR : ~(left_convergent_lines(L41_179_10, M42_179_10) | left_convergent_lines(L41_179_10, reverse_line(M42_179_10)))
% 147.15/22.41 -> [9348] ~left_convergent_lines(L41_179_10, M42_179_10), ~left_convergent_lines(L41_179_10, reverse_line(M42_179_10))
% 147.15/22.41
% 147.15/22.41 [9348] CLOSURE : ~left_convergent_lines(L41_179_10, M42_179_10)
% 147.15/22.41
% 147.15/22.41 [8896] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11193] ~(left_apart_point(A39_841_9, L40_841_9) | left_apart_point(A39_841_9, reverse_line(L40_841_9)))
% 147.15/22.41
% 147.15/22.41 [11193] ALPHA_NOT_OR : ~(left_apart_point(A39_841_9, L40_841_9) | left_apart_point(A39_841_9, reverse_line(L40_841_9)))
% 147.15/22.41 -> [11241] ~left_apart_point(A39_841_9, L40_841_9), ~left_apart_point(A39_841_9, reverse_line(L40_841_9))
% 147.15/22.41
% 147.15/22.41 [11241] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [11475] ~(left_convergent_lines(L41_227_10, M42_227_10) | left_convergent_lines(L41_227_10, reverse_line(M42_227_10)))
% 147.15/22.41
% 147.15/22.41 [11475] ALPHA_NOT_OR : ~(left_convergent_lines(L41_227_10, M42_227_10) | left_convergent_lines(L41_227_10, reverse_line(M42_227_10)))
% 147.15/22.41 -> [11479] ~left_convergent_lines(L41_227_10, M42_227_10), ~left_convergent_lines(L41_227_10, reverse_line(M42_227_10))
% 147.15/22.41
% 147.15/22.41 [11479] CLOSURE : ~left_convergent_lines(L41_227_10, M42_227_10)
% 147.15/22.41
% 147.15/22.41 [173] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.41 -> [220] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [221] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [221] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41 -> [231] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [231] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [243] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.41 -> [244] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [244] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [371] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [371] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41 -> [375] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.41 -> [376] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [375] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [492] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41 -> [493] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [492] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [493] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [376] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [508] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41 -> [509] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [508] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [509] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [243] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41 -> [268] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.41 -> [269] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [269] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.41 -> [631] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.15/22.41 -> [632] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [631] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.41 -> [685] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.41
% 147.15/22.41 [685] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.41 -> [704] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.41
% 147.15/22.41 [704] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.41 -> [706] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [707] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [706] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [707] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.41 -> [1431] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.41 -> [1432] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.41
% 147.15/22.41 [1431] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.41
% 147.15/22.41 [1432] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.41 -> [1693] ~distinct_lines(N27_19_3, N27_19_3)
% 147.15/22.41
% 147.15/22.41 [1693] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.41 -> [1734] (distinct_lines(N27_19_3, N27_19_3) => (distinct_lines(N27_19_3, N27_19_3) | distinct_lines(N27_19_3, N27_19_3)))
% 147.15/22.41
% 147.15/22.41 [1734] BETA_IMPLY : (distinct_lines(N27_19_3, N27_19_3) => (distinct_lines(N27_19_3, N27_19_3) | distinct_lines(N27_19_3, N27_19_3)))
% 147.15/22.41 -> [1735] ~distinct_lines(N27_19_3, N27_19_3)
% 147.15/22.41 -> [1736] (distinct_lines(N27_19_3, N27_19_3) | distinct_lines(N27_19_3, N27_19_3))
% 147.15/22.41
% 147.15/22.41 [1736] BETA_OR : (distinct_lines(N27_19_3, N27_19_3) | distinct_lines(N27_19_3, N27_19_3))
% 147.15/22.41 -> [1737] distinct_lines(N27_19_3, N27_19_3)
% 147.15/22.41 -> [1738] distinct_lines(N27_19_3, N27_19_3)
% 147.15/22.41
% 147.15/22.41 [1738] CLOSURE : distinct_lines(N27_19_3, N27_19_3)
% 147.15/22.41
% 147.15/22.41 [1737] CLOSURE : distinct_lines(N27_19_3, N27_19_3)
% 147.15/22.41
% 147.15/22.41 [1735] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.41 -> [1830] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [1830] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.41 -> [1927] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [1927] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.41 -> [1928] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41 -> [1929] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [1928] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [1929] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.41 -> [3189] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41 -> [3190] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [3189] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [3190] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.41 -> [3491] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41
% 147.15/22.41 [3491] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41 -> [3494] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [3495] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [3494] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [3501] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [3502] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [3502] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [3501] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [3495] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [9087] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9088] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [9087] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9103] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [9103] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [9088] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9092] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [9092] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [9133] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [9133] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [9135] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [9136] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [9136] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [9139] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41 -> [9140] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [9139] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [9140] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [9189] ((unequally_directed_lines(skolem_N7979, M38_306_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_306_8))) => (left_convergent_lines(skolem_N7979, M38_306_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_306_8))))
% 147.15/22.41
% 147.15/22.41 [9189] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_306_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_306_8))) => (left_convergent_lines(skolem_N7979, M38_306_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_306_8))))
% 147.15/22.41 -> [9194] ~(unequally_directed_lines(skolem_N7979, M38_306_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_306_8)))
% 147.15/22.41 -> [9195] (left_convergent_lines(skolem_N7979, M38_306_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_306_8)))
% 147.15/22.41
% 147.15/22.41 [9195] BETA_OR : (left_convergent_lines(skolem_N7979, M38_306_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_306_8)))
% 147.15/22.41 -> [9200] left_convergent_lines(skolem_N7979, M38_306_8)
% 147.15/22.41 -> [9201] left_convergent_lines(skolem_N7979, reverse_line(M38_306_8))
% 147.15/22.41
% 147.15/22.41 [9201] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [9286] ~(left_apart_point(A39_590_9, L40_590_9) | left_apart_point(A39_590_9, reverse_line(L40_590_9)))
% 147.15/22.41
% 147.15/22.41 [9286] ALPHA_NOT_OR : ~(left_apart_point(A39_590_9, L40_590_9) | left_apart_point(A39_590_9, reverse_line(L40_590_9)))
% 147.15/22.41 -> [9288] ~left_apart_point(A39_590_9, L40_590_9), ~left_apart_point(A39_590_9, reverse_line(L40_590_9))
% 147.15/22.41
% 147.15/22.41 [9288] CLOSURE : ~left_apart_point(A39_590_9, L40_590_9)
% 147.15/22.41
% 147.15/22.41 [9200] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [9305] ~(left_apart_point(A39_595_9, L40_595_9) | left_apart_point(A39_595_9, reverse_line(L40_595_9)))
% 147.15/22.41
% 147.15/22.41 [9305] ALPHA_NOT_OR : ~(left_apart_point(A39_595_9, L40_595_9) | left_apart_point(A39_595_9, reverse_line(L40_595_9)))
% 147.15/22.41 -> [9308] ~left_apart_point(A39_595_9, L40_595_9), ~left_apart_point(A39_595_9, reverse_line(L40_595_9))
% 147.15/22.41
% 147.15/22.41 [9308] CLOSURE : ~left_apart_point(A39_595_9, L40_595_9)
% 147.15/22.41
% 147.15/22.41 [9194] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_306_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_306_8)))
% 147.15/22.41 -> [9225] ~unequally_directed_lines(skolem_N7979, M38_306_8)
% 147.15/22.41 -> [9226] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_306_8))
% 147.15/22.41
% 147.15/22.41 [9226] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_306_8))
% 147.15/22.41
% 147.15/22.41 [9225] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_306_8)
% 147.15/22.41
% 147.15/22.41 [9135] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [9141] ~line(skolem_M7878)
% 147.15/22.41 -> [9142] ~line(skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [9141] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [9241] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.41
% 147.15/22.41 [9241] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.41 -> [9245] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [9246] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41
% 147.15/22.41 [9245] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [9254] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [9255] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [9255] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [9254] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [9246] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [9247] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [9248] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [9248] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [9386] ~(left_apart_point(A39_607_9, L40_607_9) | left_apart_point(A39_607_9, reverse_line(L40_607_9)))
% 147.15/22.41
% 147.15/22.41 [9386] ALPHA_NOT_OR : ~(left_apart_point(A39_607_9, L40_607_9) | left_apart_point(A39_607_9, reverse_line(L40_607_9)))
% 147.15/22.41 -> [9387] ~left_apart_point(A39_607_9, L40_607_9), ~left_apart_point(A39_607_9, reverse_line(L40_607_9))
% 147.15/22.41
% 147.15/22.41 [9387] CLOSURE : ~left_apart_point(A39_607_9, L40_607_9)
% 147.15/22.41
% 147.15/22.41 [9247] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [10309] ~(left_apart_point(A39_721_9, L40_721_9) | left_apart_point(A39_721_9, reverse_line(L40_721_9)))
% 147.15/22.41
% 147.15/22.41 [10309] ALPHA_NOT_OR : ~(left_apart_point(A39_721_9, L40_721_9) | left_apart_point(A39_721_9, reverse_line(L40_721_9)))
% 147.15/22.41 -> [10311] ~left_apart_point(A39_721_9, L40_721_9), ~left_apart_point(A39_721_9, reverse_line(L40_721_9))
% 147.15/22.41
% 147.15/22.41 [10311] CLOSURE : ~left_apart_point(A39_721_9, L40_721_9)
% 147.15/22.41
% 147.15/22.41 [9142] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [9173] ((unequally_directed_lines(skolem_N7979, M38_304_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_304_8))) => (left_convergent_lines(skolem_N7979, M38_304_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_304_8))))
% 147.15/22.41
% 147.15/22.41 [9173] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_304_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_304_8))) => (left_convergent_lines(skolem_N7979, M38_304_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_304_8))))
% 147.15/22.41 -> [9176] ~(unequally_directed_lines(skolem_N7979, M38_304_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_304_8)))
% 147.15/22.41 -> [9177] (left_convergent_lines(skolem_N7979, M38_304_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_304_8)))
% 147.15/22.41
% 147.15/22.41 [9177] BETA_OR : (left_convergent_lines(skolem_N7979, M38_304_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_304_8)))
% 147.15/22.41 -> [9183] left_convergent_lines(skolem_N7979, M38_304_8)
% 147.15/22.41 -> [9184] left_convergent_lines(skolem_N7979, reverse_line(M38_304_8))
% 147.15/22.41
% 147.15/22.41 [9184] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [9274] ~(left_apart_point(A39_588_9, L40_588_9) | left_apart_point(A39_588_9, reverse_line(L40_588_9)))
% 147.15/22.41
% 147.15/22.41 [9274] ALPHA_NOT_OR : ~(left_apart_point(A39_588_9, L40_588_9) | left_apart_point(A39_588_9, reverse_line(L40_588_9)))
% 147.15/22.41 -> [9278] ~left_apart_point(A39_588_9, L40_588_9), ~left_apart_point(A39_588_9, reverse_line(L40_588_9))
% 147.15/22.41
% 147.15/22.41 [9278] CLOSURE : ~left_apart_point(A39_588_9, L40_588_9)
% 147.15/22.41
% 147.15/22.41 [9183] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [9296] ~(left_apart_point(A39_592_9, L40_592_9) | left_apart_point(A39_592_9, reverse_line(L40_592_9)))
% 147.15/22.41
% 147.15/22.41 [9296] ALPHA_NOT_OR : ~(left_apart_point(A39_592_9, L40_592_9) | left_apart_point(A39_592_9, reverse_line(L40_592_9)))
% 147.15/22.41 -> [9298] ~left_apart_point(A39_592_9, L40_592_9), ~left_apart_point(A39_592_9, reverse_line(L40_592_9))
% 147.15/22.41
% 147.15/22.41 [9298] CLOSURE : ~left_apart_point(A39_592_9, L40_592_9)
% 147.15/22.41
% 147.15/22.41 [9176] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_304_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_304_8)))
% 147.15/22.41 -> [9211] ~unequally_directed_lines(skolem_N7979, M38_304_8)
% 147.15/22.41 -> [9212] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_304_8))
% 147.15/22.41
% 147.15/22.41 [9212] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_304_8))
% 147.15/22.41
% 147.15/22.41 [9211] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_304_8)
% 147.15/22.41
% 147.15/22.41 [632] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41 -> [637] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [637] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41 -> [638] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.41 -> [639] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [638] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.41 -> [686] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [686] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.41 -> [694] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.41
% 147.15/22.41 [694] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.41 -> [697] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [698] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.41
% 147.15/22.41 [697] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [698] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.41 -> [1641] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [1642] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1642] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1641] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.41 -> [1952] ~distinct_lines(M26_34_3, M26_34_3)
% 147.15/22.41
% 147.15/22.41 [1952] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.41 -> [1989] (distinct_lines(M26_34_3, M26_34_3) => (distinct_lines(M26_34_3, M26_34_3) | distinct_lines(M26_34_3, M26_34_3)))
% 147.15/22.41
% 147.15/22.41 [1989] BETA_IMPLY : (distinct_lines(M26_34_3, M26_34_3) => (distinct_lines(M26_34_3, M26_34_3) | distinct_lines(M26_34_3, M26_34_3)))
% 147.15/22.41 -> [1992] ~distinct_lines(M26_34_3, M26_34_3)
% 147.15/22.41 -> [1993] (distinct_lines(M26_34_3, M26_34_3) | distinct_lines(M26_34_3, M26_34_3))
% 147.15/22.41
% 147.15/22.41 [1993] BETA_OR : (distinct_lines(M26_34_3, M26_34_3) | distinct_lines(M26_34_3, M26_34_3))
% 147.15/22.41 -> [1994] distinct_lines(M26_34_3, M26_34_3)
% 147.15/22.41 -> [1995] distinct_lines(M26_34_3, M26_34_3)
% 147.15/22.41
% 147.15/22.41 [1994] CLOSURE : distinct_lines(M26_34_3, M26_34_3)
% 147.15/22.41
% 147.15/22.41 [1995] CLOSURE : distinct_lines(M26_34_3, M26_34_3)
% 147.15/22.41
% 147.15/22.41 [1992] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.41 -> [2016] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [2016] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.41 -> [2056] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [2056] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.41 -> [2059] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41 -> [2060] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [2059] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2060] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.41 -> [4304] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41 -> [4305] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [4304] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [4305] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.41 -> [4830] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41
% 147.15/22.41 [4830] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41 -> [4831] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [4832] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [4831] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [4871] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [4872] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [4872] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [4871] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [4832] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [5823] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [5824] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [5823] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [5831] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [5831] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [5824] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [5828] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [5828] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [5874] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [5874] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [5879] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [5880] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [5880] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [5881] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41 -> [5882] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [5881] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [5882] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [6052] ((unequally_directed_lines(skolem_N7979, M38_120_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_120_8))) => (left_convergent_lines(skolem_N7979, M38_120_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_120_8))))
% 147.15/22.41
% 147.15/22.41 [6052] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_120_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_120_8))) => (left_convergent_lines(skolem_N7979, M38_120_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_120_8))))
% 147.15/22.41 -> [6055] ~(unequally_directed_lines(skolem_N7979, M38_120_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_120_8)))
% 147.15/22.41 -> [6056] (left_convergent_lines(skolem_N7979, M38_120_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_120_8)))
% 147.15/22.41
% 147.15/22.41 [6056] BETA_OR : (left_convergent_lines(skolem_N7979, M38_120_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_120_8)))
% 147.15/22.41 -> [6057] left_convergent_lines(skolem_N7979, M38_120_8)
% 147.15/22.41 -> [6058] left_convergent_lines(skolem_N7979, reverse_line(M38_120_8))
% 147.15/22.41
% 147.15/22.41 [6058] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6095] ~(left_apart_point(A39_229_9, L40_229_9) | left_apart_point(A39_229_9, reverse_line(L40_229_9)))
% 147.15/22.41
% 147.15/22.41 [6095] ALPHA_NOT_OR : ~(left_apart_point(A39_229_9, L40_229_9) | left_apart_point(A39_229_9, reverse_line(L40_229_9)))
% 147.15/22.41 -> [6096] ~left_apart_point(A39_229_9, L40_229_9), ~left_apart_point(A39_229_9, reverse_line(L40_229_9))
% 147.15/22.41
% 147.15/22.41 [6096] CLOSURE : ~left_apart_point(A39_229_9, L40_229_9)
% 147.15/22.41
% 147.15/22.41 [6057] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6099] ~(left_apart_point(A39_230_9, L40_230_9) | left_apart_point(A39_230_9, reverse_line(L40_230_9)))
% 147.15/22.41
% 147.15/22.41 [6099] ALPHA_NOT_OR : ~(left_apart_point(A39_230_9, L40_230_9) | left_apart_point(A39_230_9, reverse_line(L40_230_9)))
% 147.15/22.41 -> [6100] ~left_apart_point(A39_230_9, L40_230_9), ~left_apart_point(A39_230_9, reverse_line(L40_230_9))
% 147.15/22.41
% 147.15/22.41 [6100] CLOSURE : ~left_apart_point(A39_230_9, L40_230_9)
% 147.15/22.41
% 147.15/22.41 [6055] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_120_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_120_8)))
% 147.15/22.41 -> [6065] ~unequally_directed_lines(skolem_N7979, M38_120_8)
% 147.15/22.41 -> [6066] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_120_8))
% 147.15/22.41
% 147.15/22.41 [6066] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_120_8))
% 147.15/22.41
% 147.15/22.41 [6065] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_120_8)
% 147.15/22.41
% 147.15/22.41 [5879] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [5891] ~line(skolem_M7878)
% 147.15/22.41 -> [5892] ~line(skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [5892] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [5929] ((unequally_directed_lines(skolem_N7979, M38_115_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_115_8))) => (left_convergent_lines(skolem_N7979, M38_115_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_115_8))))
% 147.15/22.41
% 147.15/22.41 [5929] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_115_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_115_8))) => (left_convergent_lines(skolem_N7979, M38_115_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_115_8))))
% 147.15/22.41 -> [5932] ~(unequally_directed_lines(skolem_N7979, M38_115_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_115_8)))
% 147.15/22.41 -> [5933] (left_convergent_lines(skolem_N7979, M38_115_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_115_8)))
% 147.15/22.41
% 147.15/22.41 [5932] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_115_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_115_8)))
% 147.15/22.41 -> [5961] ~unequally_directed_lines(skolem_N7979, M38_115_8)
% 147.15/22.41 -> [5962] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_115_8))
% 147.15/22.41
% 147.15/22.41 [5962] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_115_8))
% 147.15/22.41
% 147.15/22.41 [5961] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_115_8)
% 147.15/22.41
% 147.15/22.41 [5933] BETA_OR : (left_convergent_lines(skolem_N7979, M38_115_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_115_8)))
% 147.15/22.41 -> [5936] left_convergent_lines(skolem_N7979, M38_115_8)
% 147.15/22.41 -> [5937] left_convergent_lines(skolem_N7979, reverse_line(M38_115_8))
% 147.15/22.41
% 147.15/22.41 [5936] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6005] ~(left_apart_point(A39_224_9, L40_224_9) | left_apart_point(A39_224_9, reverse_line(L40_224_9)))
% 147.15/22.41
% 147.15/22.41 [6005] ALPHA_NOT_OR : ~(left_apart_point(A39_224_9, L40_224_9) | left_apart_point(A39_224_9, reverse_line(L40_224_9)))
% 147.15/22.41 -> [6006] ~left_apart_point(A39_224_9, L40_224_9), ~left_apart_point(A39_224_9, reverse_line(L40_224_9))
% 147.15/22.41
% 147.15/22.41 [6006] CLOSURE : ~left_apart_point(A39_224_9, L40_224_9)
% 147.15/22.41
% 147.15/22.41 [5937] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6641] ~(left_apart_point(A39_264_9, L40_264_9) | left_apart_point(A39_264_9, reverse_line(L40_264_9)))
% 147.15/22.41
% 147.15/22.41 [6641] ALPHA_NOT_OR : ~(left_apart_point(A39_264_9, L40_264_9) | left_apart_point(A39_264_9, reverse_line(L40_264_9)))
% 147.15/22.41 -> [6642] ~left_apart_point(A39_264_9, L40_264_9), ~left_apart_point(A39_264_9, reverse_line(L40_264_9))
% 147.15/22.41
% 147.15/22.41 [6642] CLOSURE : ~left_apart_point(A39_264_9, L40_264_9)
% 147.15/22.41
% 147.15/22.41 [5891] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [5946] ((unequally_directed_lines(skolem_N7979, M38_116_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_116_8))) => (left_convergent_lines(skolem_N7979, M38_116_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_116_8))))
% 147.15/22.41
% 147.15/22.41 [5946] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_116_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_116_8))) => (left_convergent_lines(skolem_N7979, M38_116_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_116_8))))
% 147.15/22.41 -> [5948] ~(unequally_directed_lines(skolem_N7979, M38_116_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_116_8)))
% 147.15/22.41 -> [5949] (left_convergent_lines(skolem_N7979, M38_116_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_116_8)))
% 147.15/22.41
% 147.15/22.41 [5948] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_116_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_116_8)))
% 147.15/22.41 -> [6010] ~unequally_directed_lines(skolem_N7979, M38_116_8)
% 147.15/22.41 -> [6011] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_116_8))
% 147.15/22.41
% 147.15/22.41 [6011] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_116_8))
% 147.15/22.41
% 147.15/22.41 [6010] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_116_8)
% 147.15/22.41
% 147.15/22.41 [5949] BETA_OR : (left_convergent_lines(skolem_N7979, M38_116_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_116_8)))
% 147.15/22.41 -> [5953] left_convergent_lines(skolem_N7979, M38_116_8)
% 147.15/22.41 -> [5954] left_convergent_lines(skolem_N7979, reverse_line(M38_116_8))
% 147.15/22.41
% 147.15/22.41 [5954] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6141] ~(left_apart_point(A39_233_9, L40_233_9) | left_apart_point(A39_233_9, reverse_line(L40_233_9)))
% 147.15/22.41
% 147.15/22.41 [6141] ALPHA_NOT_OR : ~(left_apart_point(A39_233_9, L40_233_9) | left_apart_point(A39_233_9, reverse_line(L40_233_9)))
% 147.15/22.41 -> [6142] ~left_apart_point(A39_233_9, L40_233_9), ~left_apart_point(A39_233_9, reverse_line(L40_233_9))
% 147.15/22.41
% 147.15/22.41 [6142] CLOSURE : ~left_apart_point(A39_233_9, L40_233_9)
% 147.15/22.41
% 147.15/22.41 [5953] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6183] ~(left_apart_point(A39_237_9, L40_237_9) | left_apart_point(A39_237_9, reverse_line(L40_237_9)))
% 147.15/22.41
% 147.15/22.41 [6183] ALPHA_NOT_OR : ~(left_apart_point(A39_237_9, L40_237_9) | left_apart_point(A39_237_9, reverse_line(L40_237_9)))
% 147.15/22.41 -> [6189] ~left_apart_point(A39_237_9, L40_237_9), ~left_apart_point(A39_237_9, reverse_line(L40_237_9))
% 147.15/22.41
% 147.15/22.41 [6189] CLOSURE : ~left_apart_point(A39_237_9, L40_237_9)
% 147.15/22.41
% 147.15/22.41 [639] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.41 -> [667] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.41
% 147.15/22.41 [667] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.41 -> [890] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.41
% 147.15/22.41 [890] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.41 -> [892] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [893] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [892] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [893] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.41 -> [1538] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.41 -> [1539] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.41
% 147.15/22.41 [1538] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.41
% 147.15/22.41 [1539] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.41 -> [1919] ~distinct_lines(N27_32_3, N27_32_3)
% 147.15/22.41
% 147.15/22.41 [1919] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.41 -> [1953] (distinct_lines(N27_32_3, N27_32_3) => (distinct_lines(N27_32_3, N27_32_3) | distinct_lines(N27_32_3, N27_32_3)))
% 147.15/22.41
% 147.15/22.41 [1953] BETA_IMPLY : (distinct_lines(N27_32_3, N27_32_3) => (distinct_lines(N27_32_3, N27_32_3) | distinct_lines(N27_32_3, N27_32_3)))
% 147.15/22.41 -> [1957] ~distinct_lines(N27_32_3, N27_32_3)
% 147.15/22.41 -> [1958] (distinct_lines(N27_32_3, N27_32_3) | distinct_lines(N27_32_3, N27_32_3))
% 147.15/22.41
% 147.15/22.41 [1958] BETA_OR : (distinct_lines(N27_32_3, N27_32_3) | distinct_lines(N27_32_3, N27_32_3))
% 147.15/22.41 -> [1963] distinct_lines(N27_32_3, N27_32_3)
% 147.15/22.41 -> [1964] distinct_lines(N27_32_3, N27_32_3)
% 147.15/22.41
% 147.15/22.41 [1964] CLOSURE : distinct_lines(N27_32_3, N27_32_3)
% 147.15/22.41
% 147.15/22.41 [1963] CLOSURE : distinct_lines(N27_32_3, N27_32_3)
% 147.15/22.41
% 147.15/22.41 [1957] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.41 -> [2007] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2007] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.41 -> [2037] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.41
% 147.15/22.41 [2037] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.41 -> [2038] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41 -> [2039] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.41
% 147.15/22.41 [2038] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2039] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.41 -> [5216] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41 -> [5217] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [5217] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [5216] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.41 -> [6200] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_86_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_86_6))) | (unequally_directed_lines(skolem_N7979, N34_86_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_86_6)))))
% 147.15/22.41
% 147.15/22.41 [6200] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_86_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_86_6))) | (unequally_directed_lines(skolem_N7979, N34_86_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_86_6)))))
% 147.15/22.41 -> [6208] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [6209] ((unequally_directed_lines(skolem_M7878, N34_86_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_86_6))) | (unequally_directed_lines(skolem_N7979, N34_86_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_86_6))))
% 147.15/22.41
% 147.15/22.41 [6208] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [6238] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [6239] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [6239] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [6238] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [6209] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_86_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_86_6))) | (unequally_directed_lines(skolem_N7979, N34_86_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_86_6))))
% 147.15/22.41 -> [11779] (unequally_directed_lines(skolem_M7878, N34_86_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_86_6)))
% 147.15/22.41 -> [11780] (unequally_directed_lines(skolem_N7979, N34_86_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_86_6)))
% 147.15/22.41
% 147.15/22.41 [11780] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_86_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_86_6)))
% 147.15/22.41 -> [11785] unequally_directed_lines(skolem_N7979, N34_86_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_86_6))
% 147.15/22.41
% 147.15/22.41 [11785] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [11836] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.41
% 147.15/22.41 [11836] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.41 -> [11837] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.41 -> [11838] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.41
% 147.15/22.41 [11838] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.41 -> [11846] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.41 -> [11847] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [11847] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [11846] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [12041] ((unequally_directed_lines(skolem_N7979, M38_498_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_498_8))) => (left_convergent_lines(skolem_N7979, M38_498_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_498_8))))
% 147.15/22.41
% 147.15/22.41 [12041] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_498_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_498_8))) => (left_convergent_lines(skolem_N7979, M38_498_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_498_8))))
% 147.15/22.41 -> [12042] ~(unequally_directed_lines(skolem_N7979, M38_498_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_498_8)))
% 147.15/22.41 -> [12043] (left_convergent_lines(skolem_N7979, M38_498_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_498_8)))
% 147.15/22.41
% 147.15/22.41 [12043] BETA_OR : (left_convergent_lines(skolem_N7979, M38_498_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_498_8)))
% 147.15/22.41 -> [12047] left_convergent_lines(skolem_N7979, M38_498_8)
% 147.15/22.41 -> [12048] left_convergent_lines(skolem_N7979, reverse_line(M38_498_8))
% 147.15/22.41
% 147.15/22.41 [12048] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12072] ~(left_apart_point(A39_945_9, L40_945_9) | left_apart_point(A39_945_9, reverse_line(L40_945_9)))
% 147.15/22.41
% 147.15/22.41 [12072] ALPHA_NOT_OR : ~(left_apart_point(A39_945_9, L40_945_9) | left_apart_point(A39_945_9, reverse_line(L40_945_9)))
% 147.15/22.41 -> [12074] ~left_apart_point(A39_945_9, L40_945_9), ~left_apart_point(A39_945_9, reverse_line(L40_945_9))
% 147.15/22.41
% 147.15/22.41 [12074] CLOSURE : ~left_apart_point(A39_945_9, L40_945_9)
% 147.15/22.41
% 147.15/22.41 [12047] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12091] ~(left_apart_point(A39_950_9, L40_950_9) | left_apart_point(A39_950_9, reverse_line(L40_950_9)))
% 147.15/22.41
% 147.15/22.41 [12091] ALPHA_NOT_OR : ~(left_apart_point(A39_950_9, L40_950_9) | left_apart_point(A39_950_9, reverse_line(L40_950_9)))
% 147.15/22.41 -> [12092] ~left_apart_point(A39_950_9, L40_950_9), ~left_apart_point(A39_950_9, reverse_line(L40_950_9))
% 147.15/22.41
% 147.15/22.41 [12092] CLOSURE : ~left_apart_point(A39_950_9, L40_950_9)
% 147.15/22.41
% 147.15/22.41 [12042] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_498_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_498_8)))
% 147.15/22.41 -> [12054] ~unequally_directed_lines(skolem_N7979, M38_498_8)
% 147.15/22.41 -> [12055] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_498_8))
% 147.15/22.41
% 147.15/22.41 [12055] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_498_8))
% 147.15/22.41
% 147.15/22.41 [12054] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_498_8)
% 147.15/22.41
% 147.15/22.41 [11837] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.41 -> [11856] ~line(reverse_line(skolem_N7979))
% 147.15/22.41 -> [11857] ~line(skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [11857] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [11902] ((unequally_directed_lines(skolem_N7979, M38_487_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_487_8))) => (left_convergent_lines(skolem_N7979, M38_487_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_487_8))))
% 147.15/22.41
% 147.15/22.41 [11902] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_487_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_487_8))) => (left_convergent_lines(skolem_N7979, M38_487_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_487_8))))
% 147.15/22.41 -> [11904] ~(unequally_directed_lines(skolem_N7979, M38_487_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_487_8)))
% 147.15/22.41 -> [11905] (left_convergent_lines(skolem_N7979, M38_487_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_487_8)))
% 147.15/22.41
% 147.15/22.41 [11905] BETA_OR : (left_convergent_lines(skolem_N7979, M38_487_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_487_8)))
% 147.15/22.41 -> [11911] left_convergent_lines(skolem_N7979, M38_487_8)
% 147.15/22.41 -> [11912] left_convergent_lines(skolem_N7979, reverse_line(M38_487_8))
% 147.15/22.41
% 147.15/22.41 [11912] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11942] ~(left_apart_point(A39_924_9, L40_924_9) | left_apart_point(A39_924_9, reverse_line(L40_924_9)))
% 147.15/22.41
% 147.15/22.41 [11942] ALPHA_NOT_OR : ~(left_apart_point(A39_924_9, L40_924_9) | left_apart_point(A39_924_9, reverse_line(L40_924_9)))
% 147.15/22.41 -> [11944] ~left_apart_point(A39_924_9, L40_924_9), ~left_apart_point(A39_924_9, reverse_line(L40_924_9))
% 147.15/22.41
% 147.15/22.41 [11944] CLOSURE : ~left_apart_point(A39_924_9, L40_924_9)
% 147.15/22.41
% 147.15/22.41 [11911] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11952] ~(left_apart_point(A39_928_9, L40_928_9) | left_apart_point(A39_928_9, reverse_line(L40_928_9)))
% 147.15/22.41
% 147.15/22.41 [11952] ALPHA_NOT_OR : ~(left_apart_point(A39_928_9, L40_928_9) | left_apart_point(A39_928_9, reverse_line(L40_928_9)))
% 147.15/22.41 -> [11954] ~left_apart_point(A39_928_9, L40_928_9), ~left_apart_point(A39_928_9, reverse_line(L40_928_9))
% 147.15/22.41
% 147.15/22.41 [11954] CLOSURE : ~left_apart_point(A39_928_9, L40_928_9)
% 147.15/22.41
% 147.15/22.41 [11904] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_487_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_487_8)))
% 147.15/22.41 -> [11917] ~unequally_directed_lines(skolem_N7979, M38_487_8)
% 147.15/22.41 -> [11918] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_487_8))
% 147.15/22.41
% 147.15/22.41 [11918] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_487_8))
% 147.15/22.41
% 147.15/22.41 [11917] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_487_8)
% 147.15/22.41
% 147.15/22.41 [11856] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [12012] ((unequally_directed_lines(skolem_N7979, M38_496_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_496_8))) => (left_convergent_lines(skolem_N7979, M38_496_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_496_8))))
% 147.15/22.41
% 147.15/22.41 [12012] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_496_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_496_8))) => (left_convergent_lines(skolem_N7979, M38_496_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_496_8))))
% 147.15/22.41 -> [12013] ~(unequally_directed_lines(skolem_N7979, M38_496_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_496_8)))
% 147.15/22.41 -> [12014] (left_convergent_lines(skolem_N7979, M38_496_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_496_8)))
% 147.15/22.41
% 147.15/22.41 [12014] BETA_OR : (left_convergent_lines(skolem_N7979, M38_496_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_496_8)))
% 147.15/22.41 -> [12017] left_convergent_lines(skolem_N7979, M38_496_8)
% 147.15/22.41 -> [12018] left_convergent_lines(skolem_N7979, reverse_line(M38_496_8))
% 147.15/22.41
% 147.15/22.41 [12018] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12080] ~(left_apart_point(A39_948_9, L40_948_9) | left_apart_point(A39_948_9, reverse_line(L40_948_9)))
% 147.15/22.41
% 147.15/22.41 [12080] ALPHA_NOT_OR : ~(left_apart_point(A39_948_9, L40_948_9) | left_apart_point(A39_948_9, reverse_line(L40_948_9)))
% 147.15/22.41 -> [12082] ~left_apart_point(A39_948_9, L40_948_9), ~left_apart_point(A39_948_9, reverse_line(L40_948_9))
% 147.15/22.41
% 147.15/22.41 [12082] CLOSURE : ~left_apart_point(A39_948_9, L40_948_9)
% 147.15/22.41
% 147.15/22.41 [12017] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12097] ~(left_apart_point(A39_952_9, L40_952_9) | left_apart_point(A39_952_9, reverse_line(L40_952_9)))
% 147.15/22.41
% 147.15/22.41 [12097] ALPHA_NOT_OR : ~(left_apart_point(A39_952_9, L40_952_9) | left_apart_point(A39_952_9, reverse_line(L40_952_9)))
% 147.15/22.41 -> [12098] ~left_apart_point(A39_952_9, L40_952_9), ~left_apart_point(A39_952_9, reverse_line(L40_952_9))
% 147.15/22.41
% 147.15/22.41 [12098] CLOSURE : ~left_apart_point(A39_952_9, L40_952_9)
% 147.15/22.41
% 147.15/22.41 [12013] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_496_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_496_8)))
% 147.15/22.41 -> [12033] ~unequally_directed_lines(skolem_N7979, M38_496_8)
% 147.15/22.41 -> [12034] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_496_8))
% 147.15/22.41
% 147.15/22.41 [12034] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_496_8))
% 147.15/22.41
% 147.15/22.41 [12033] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_496_8)
% 147.15/22.41
% 147.15/22.41 [11779] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_86_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_86_6)))
% 147.15/22.41 -> [11789] unequally_directed_lines(skolem_M7878, N34_86_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_86_6))
% 147.15/22.41
% 147.15/22.41 [11789] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [11812] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.41
% 147.15/22.41 [11812] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.41 -> [11815] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.41 -> [11816] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.41
% 147.15/22.41 [11815] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.41 -> [11850] ~line(reverse_line(skolem_N7979))
% 147.15/22.41 -> [11851] ~line(skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [11851] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [11901] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [11901] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [11985] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11986] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [11986] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11988] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [11989] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [11988] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12039] ~(left_apart_point(A39_939_9, L40_939_9) | left_apart_point(A39_939_9, reverse_line(L40_939_9)))
% 147.15/22.41
% 147.15/22.41 [12039] ALPHA_NOT_OR : ~(left_apart_point(A39_939_9, L40_939_9) | left_apart_point(A39_939_9, reverse_line(L40_939_9)))
% 147.15/22.41 -> [12040] ~left_apart_point(A39_939_9, L40_939_9), ~left_apart_point(A39_939_9, reverse_line(L40_939_9))
% 147.15/22.41
% 147.15/22.41 [12040] CLOSURE : ~left_apart_point(A39_939_9, L40_939_9)
% 147.15/22.41
% 147.15/22.41 [11989] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12044] ~(left_apart_point(A39_940_9, L40_940_9) | left_apart_point(A39_940_9, reverse_line(L40_940_9)))
% 147.15/22.41
% 147.15/22.41 [12044] ALPHA_NOT_OR : ~(left_apart_point(A39_940_9, L40_940_9) | left_apart_point(A39_940_9, reverse_line(L40_940_9)))
% 147.15/22.41 -> [12050] ~left_apart_point(A39_940_9, L40_940_9), ~left_apart_point(A39_940_9, reverse_line(L40_940_9))
% 147.15/22.41
% 147.15/22.41 [12050] CLOSURE : ~left_apart_point(A39_940_9, L40_940_9)
% 147.15/22.41
% 147.15/22.41 [11985] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [12001] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [12002] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [12002] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [12001] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [11850] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [11990] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [11990] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [11993] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11994] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [11994] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11997] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [11998] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [11998] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12058] ~(left_apart_point(A39_942_9, L40_942_9) | left_apart_point(A39_942_9, reverse_line(L40_942_9)))
% 147.15/22.41
% 147.15/22.41 [12058] ALPHA_NOT_OR : ~(left_apart_point(A39_942_9, L40_942_9) | left_apart_point(A39_942_9, reverse_line(L40_942_9)))
% 147.15/22.41 -> [12060] ~left_apart_point(A39_942_9, L40_942_9), ~left_apart_point(A39_942_9, reverse_line(L40_942_9))
% 147.15/22.41
% 147.15/22.41 [12060] CLOSURE : ~left_apart_point(A39_942_9, L40_942_9)
% 147.15/22.41
% 147.15/22.41 [11997] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12075] ~(left_apart_point(A39_946_9, L40_946_9) | left_apart_point(A39_946_9, reverse_line(L40_946_9)))
% 147.15/22.41
% 147.15/22.41 [12075] ALPHA_NOT_OR : ~(left_apart_point(A39_946_9, L40_946_9) | left_apart_point(A39_946_9, reverse_line(L40_946_9)))
% 147.15/22.41 -> [12078] ~left_apart_point(A39_946_9, L40_946_9), ~left_apart_point(A39_946_9, reverse_line(L40_946_9))
% 147.15/22.41
% 147.15/22.41 [12078] CLOSURE : ~left_apart_point(A39_946_9, L40_946_9)
% 147.15/22.41
% 147.15/22.41 [11993] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [12026] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [12027] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [12027] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [12026] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [11816] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.41 -> [11826] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.41 -> [11827] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [11827] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [11826] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [12722] ((unequally_directed_lines(skolem_M7878, M38_535_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_535_8))) => (left_convergent_lines(skolem_M7878, M38_535_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_535_8))))
% 147.15/22.41
% 147.15/22.41 [12722] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_535_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_535_8))) => (left_convergent_lines(skolem_M7878, M38_535_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_535_8))))
% 147.15/22.41 -> [12723] ~(unequally_directed_lines(skolem_M7878, M38_535_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_535_8)))
% 147.15/22.41 -> [12724] (left_convergent_lines(skolem_M7878, M38_535_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_535_8)))
% 147.15/22.41
% 147.15/22.41 [12723] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_535_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_535_8)))
% 147.15/22.41 -> [12737] ~unequally_directed_lines(skolem_M7878, M38_535_8)
% 147.15/22.41 -> [12738] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_535_8))
% 147.15/22.41
% 147.15/22.41 [12738] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_535_8))
% 147.15/22.41
% 147.15/22.41 [12737] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_535_8)
% 147.15/22.41
% 147.15/22.41 [12724] BETA_OR : (left_convergent_lines(skolem_M7878, M38_535_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_535_8)))
% 147.15/22.41 -> [12731] left_convergent_lines(skolem_M7878, M38_535_8)
% 147.15/22.41 -> [12732] left_convergent_lines(skolem_M7878, reverse_line(M38_535_8))
% 147.15/22.41
% 147.15/22.41 [12731] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12771] ~(left_apart_point(A39_1070_9, L40_1070_9) | left_apart_point(A39_1070_9, reverse_line(L40_1070_9)))
% 147.15/22.41
% 147.15/22.41 [12771] ALPHA_NOT_OR : ~(left_apart_point(A39_1070_9, L40_1070_9) | left_apart_point(A39_1070_9, reverse_line(L40_1070_9)))
% 147.15/22.41 -> [12772] ~left_apart_point(A39_1070_9, L40_1070_9), ~left_apart_point(A39_1070_9, reverse_line(L40_1070_9))
% 147.15/22.41
% 147.15/22.41 [12772] CLOSURE : ~left_apart_point(A39_1070_9, L40_1070_9)
% 147.15/22.41
% 147.15/22.41 [12732] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12773] ~(left_apart_point(A39_1071_9, L40_1071_9) | left_apart_point(A39_1071_9, reverse_line(L40_1071_9)))
% 147.15/22.41
% 147.15/22.41 [12773] ALPHA_NOT_OR : ~(left_apart_point(A39_1071_9, L40_1071_9) | left_apart_point(A39_1071_9, reverse_line(L40_1071_9)))
% 147.15/22.41 -> [12774] ~left_apart_point(A39_1071_9, L40_1071_9), ~left_apart_point(A39_1071_9, reverse_line(L40_1071_9))
% 147.15/22.41
% 147.15/22.41 [12774] CLOSURE : ~left_apart_point(A39_1071_9, L40_1071_9)
% 147.15/22.41
% 147.15/22.41 [268] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.41 -> [1081] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.15/22.41 -> [1082] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [1082] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41 -> [1085] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [1085] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41 -> [1092] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.41 -> [1093] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [1093] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.41 -> [1153] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1153] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.41 -> [1168] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.41
% 147.15/22.41 [1168] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.41 -> [1171] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [1172] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.41
% 147.15/22.41 [1171] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1172] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.41 -> [1269] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [1270] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1270] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1269] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.41 -> [1429] ~distinct_lines(L25_4_3, L25_4_3)
% 147.15/22.41
% 147.15/22.41 [1429] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.41 -> [1455] (distinct_lines(L25_4_3, L25_4_3) => (distinct_lines(L25_4_3, L25_4_3) | distinct_lines(L25_4_3, L25_4_3)))
% 147.15/22.41
% 147.15/22.41 [1455] BETA_IMPLY : (distinct_lines(L25_4_3, L25_4_3) => (distinct_lines(L25_4_3, L25_4_3) | distinct_lines(L25_4_3, L25_4_3)))
% 147.15/22.41 -> [1458] ~distinct_lines(L25_4_3, L25_4_3)
% 147.15/22.41 -> [1459] (distinct_lines(L25_4_3, L25_4_3) | distinct_lines(L25_4_3, L25_4_3))
% 147.15/22.41
% 147.15/22.41 [1459] BETA_OR : (distinct_lines(L25_4_3, L25_4_3) | distinct_lines(L25_4_3, L25_4_3))
% 147.15/22.41 -> [1464] distinct_lines(L25_4_3, L25_4_3)
% 147.15/22.41 -> [1465] distinct_lines(L25_4_3, L25_4_3)
% 147.15/22.41
% 147.15/22.41 [1465] CLOSURE : distinct_lines(L25_4_3, L25_4_3)
% 147.15/22.41
% 147.15/22.41 [1464] CLOSURE : distinct_lines(L25_4_3, L25_4_3)
% 147.15/22.41
% 147.15/22.41 [1458] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.41 -> [1487] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [1487] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.41 -> [1569] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.41
% 147.15/22.41 [1569] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.41 -> [1570] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41 -> [1571] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.41
% 147.15/22.41 [1570] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [1571] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.41 -> [2317] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41 -> [2318] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2318] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2317] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.41 -> [2415] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_1_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_1_6))) | (unequally_directed_lines(skolem_N7979, N34_1_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_1_6)))))
% 147.15/22.41
% 147.15/22.41 [2415] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_1_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_1_6))) | (unequally_directed_lines(skolem_N7979, N34_1_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_1_6)))))
% 147.15/22.41 -> [2416] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [2417] ((unequally_directed_lines(skolem_M7878, N34_1_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_1_6))) | (unequally_directed_lines(skolem_N7979, N34_1_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_1_6))))
% 147.15/22.41
% 147.15/22.41 [2416] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [2428] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [2429] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2429] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2428] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [2417] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_1_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_1_6))) | (unequally_directed_lines(skolem_N7979, N34_1_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_1_6))))
% 147.15/22.41 -> [2475] (unequally_directed_lines(skolem_M7878, N34_1_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_1_6)))
% 147.15/22.41 -> [2476] (unequally_directed_lines(skolem_N7979, N34_1_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_1_6)))
% 147.15/22.41
% 147.15/22.41 [2476] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_1_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_1_6)))
% 147.15/22.41 -> [2477] unequally_directed_lines(skolem_N7979, N34_1_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_1_6))
% 147.15/22.41
% 147.15/22.41 [2477] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [2486] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.41
% 147.15/22.41 [2486] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.41 -> [2487] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.41 -> [2488] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.41
% 147.15/22.41 [2487] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.41 -> [2496] ~line(reverse_line(skolem_N7979))
% 147.15/22.41 -> [2497] ~line(skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [2496] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [2660] ((unequally_directed_lines(skolem_N7979, M38_6_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_6_8))) => (left_convergent_lines(skolem_N7979, M38_6_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_6_8))))
% 147.15/22.41
% 147.15/22.41 [2660] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_6_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_6_8))) => (left_convergent_lines(skolem_N7979, M38_6_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_6_8))))
% 147.15/22.41 -> [2663] ~(unequally_directed_lines(skolem_N7979, M38_6_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_6_8)))
% 147.15/22.41 -> [2664] (left_convergent_lines(skolem_N7979, M38_6_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_6_8)))
% 147.15/22.41
% 147.15/22.41 [2663] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_6_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_6_8)))
% 147.15/22.41 -> [2677] ~unequally_directed_lines(skolem_N7979, M38_6_8)
% 147.15/22.41 -> [2678] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_6_8))
% 147.15/22.41
% 147.15/22.41 [2678] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_6_8))
% 147.15/22.41
% 147.15/22.41 [2677] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_6_8)
% 147.15/22.41
% 147.15/22.41 [2664] BETA_OR : (left_convergent_lines(skolem_N7979, M38_6_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_6_8)))
% 147.15/22.41 -> [2668] left_convergent_lines(skolem_N7979, M38_6_8)
% 147.15/22.41 -> [2669] left_convergent_lines(skolem_N7979, reverse_line(M38_6_8))
% 147.15/22.41
% 147.15/22.41 [2669] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [2691] ~(left_apart_point(A39_10_9, L40_10_9) | left_apart_point(A39_10_9, reverse_line(L40_10_9)))
% 147.15/22.41
% 147.15/22.41 [2691] ALPHA_NOT_OR : ~(left_apart_point(A39_10_9, L40_10_9) | left_apart_point(A39_10_9, reverse_line(L40_10_9)))
% 147.15/22.41 -> [2693] ~left_apart_point(A39_10_9, L40_10_9), ~left_apart_point(A39_10_9, reverse_line(L40_10_9))
% 147.15/22.41
% 147.15/22.41 [2693] CLOSURE : ~left_apart_point(A39_10_9, L40_10_9)
% 147.15/22.41
% 147.15/22.41 [2668] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [2724] ~(left_apart_point(A39_13_9, L40_13_9) | left_apart_point(A39_13_9, reverse_line(L40_13_9)))
% 147.15/22.41
% 147.15/22.41 [2724] ALPHA_NOT_OR : ~(left_apart_point(A39_13_9, L40_13_9) | left_apart_point(A39_13_9, reverse_line(L40_13_9)))
% 147.15/22.41 -> [2727] ~left_apart_point(A39_13_9, L40_13_9), ~left_apart_point(A39_13_9, reverse_line(L40_13_9))
% 147.15/22.41
% 147.15/22.41 [2727] CLOSURE : ~left_apart_point(A39_13_9, L40_13_9)
% 147.15/22.41
% 147.15/22.41 [2497] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [2528] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.41
% 147.15/22.41 [2528] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.41 -> [2530] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [2531] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41
% 147.15/22.41 [2530] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [2534] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [2535] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2535] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2534] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [2531] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [2532] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [2533] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2532] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [2635] ~(left_apart_point(A39_4_9, L40_4_9) | left_apart_point(A39_4_9, reverse_line(L40_4_9)))
% 147.15/22.41
% 147.15/22.41 [2635] ALPHA_NOT_OR : ~(left_apart_point(A39_4_9, L40_4_9) | left_apart_point(A39_4_9, reverse_line(L40_4_9)))
% 147.15/22.41 -> [2637] ~left_apart_point(A39_4_9, L40_4_9), ~left_apart_point(A39_4_9, reverse_line(L40_4_9))
% 147.15/22.41
% 147.15/22.41 [2637] CLOSURE : ~left_apart_point(A39_4_9, L40_4_9)
% 147.15/22.41
% 147.15/22.41 [2533] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [2690] ~(left_apart_point(A39_9_9, L40_9_9) | left_apart_point(A39_9_9, reverse_line(L40_9_9)))
% 147.15/22.41
% 147.15/22.41 [2690] ALPHA_NOT_OR : ~(left_apart_point(A39_9_9, L40_9_9) | left_apart_point(A39_9_9, reverse_line(L40_9_9)))
% 147.15/22.41 -> [2692] ~left_apart_point(A39_9_9, L40_9_9), ~left_apart_point(A39_9_9, reverse_line(L40_9_9))
% 147.15/22.41
% 147.15/22.41 [2692] CLOSURE : ~left_apart_point(A39_9_9, L40_9_9)
% 147.15/22.41
% 147.15/22.41 [2488] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.41 -> [2489] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.41 -> [2490] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2490] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2489] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [2794] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.41
% 147.15/22.41 [2794] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.41 -> [2795] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [2796] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41
% 147.15/22.41 [2795] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [2797] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [2798] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2798] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2797] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [2796] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [2819] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [2820] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2820] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [2836] ~(left_apart_point(A39_14_9, L40_14_9) | left_apart_point(A39_14_9, reverse_line(L40_14_9)))
% 147.15/22.41
% 147.15/22.41 [2836] ALPHA_NOT_OR : ~(left_apart_point(A39_14_9, L40_14_9) | left_apart_point(A39_14_9, reverse_line(L40_14_9)))
% 147.15/22.41 -> [2837] ~left_apart_point(A39_14_9, L40_14_9), ~left_apart_point(A39_14_9, reverse_line(L40_14_9))
% 147.15/22.41
% 147.15/22.41 [2837] CLOSURE : ~left_apart_point(A39_14_9, L40_14_9)
% 147.15/22.41
% 147.15/22.41 [2819] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [2852] ~(left_apart_point(A39_15_9, L40_15_9) | left_apart_point(A39_15_9, reverse_line(L40_15_9)))
% 147.15/22.41
% 147.15/22.41 [2852] ALPHA_NOT_OR : ~(left_apart_point(A39_15_9, L40_15_9) | left_apart_point(A39_15_9, reverse_line(L40_15_9)))
% 147.15/22.41 -> [2853] ~left_apart_point(A39_15_9, L40_15_9), ~left_apart_point(A39_15_9, reverse_line(L40_15_9))
% 147.15/22.41
% 147.15/22.41 [2853] CLOSURE : ~left_apart_point(A39_15_9, L40_15_9)
% 147.15/22.41
% 147.15/22.41 [2475] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_1_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_1_6)))
% 147.15/22.41 -> [2482] unequally_directed_lines(skolem_M7878, N34_1_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_1_6))
% 147.15/22.41
% 147.15/22.41 [2482] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [2491] ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.15/22.41
% 147.15/22.41 [2491] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.15/22.41 -> [2492] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.41 -> [2493] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.41
% 147.15/22.41 [2492] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.41 -> [2504] ~line(skolem_L7777)
% 147.15/22.41 -> [2505] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [2505] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [2627] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [2627] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [2629] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [2630] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [2629] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [2633] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [2634] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [2634] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [2633] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [2630] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [2631] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [2632] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [2631] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [2671] ~(left_apart_point(A39_7_9, L40_7_9) | left_apart_point(A39_7_9, reverse_line(L40_7_9)))
% 147.15/22.41
% 147.15/22.41 [2671] ALPHA_NOT_OR : ~(left_apart_point(A39_7_9, L40_7_9) | left_apart_point(A39_7_9, reverse_line(L40_7_9)))
% 147.15/22.41 -> [2674] ~left_apart_point(A39_7_9, L40_7_9), ~left_apart_point(A39_7_9, reverse_line(L40_7_9))
% 147.15/22.41
% 147.15/22.41 [2674] CLOSURE : ~left_apart_point(A39_7_9, L40_7_9)
% 147.15/22.41
% 147.15/22.41 [2632] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [2679] ~(left_apart_point(A39_8_9, L40_8_9) | left_apart_point(A39_8_9, reverse_line(L40_8_9)))
% 147.15/22.41
% 147.15/22.41 [2679] ALPHA_NOT_OR : ~(left_apart_point(A39_8_9, L40_8_9) | left_apart_point(A39_8_9, reverse_line(L40_8_9)))
% 147.15/22.41 -> [2681] ~left_apart_point(A39_8_9, L40_8_9), ~left_apart_point(A39_8_9, reverse_line(L40_8_9))
% 147.15/22.41
% 147.15/22.41 [2681] CLOSURE : ~left_apart_point(A39_8_9, L40_8_9)
% 147.15/22.41
% 147.15/22.41 [2504] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [2657] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [2657] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [2661] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [2662] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [2661] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [2675] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [2676] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [2676] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [2675] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [2662] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [2666] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [2667] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [2667] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [2697] ~(left_apart_point(A39_11_9, L40_11_9) | left_apart_point(A39_11_9, reverse_line(L40_11_9)))
% 147.15/22.41
% 147.15/22.41 [2697] ALPHA_NOT_OR : ~(left_apart_point(A39_11_9, L40_11_9) | left_apart_point(A39_11_9, reverse_line(L40_11_9)))
% 147.15/22.41 -> [2700] ~left_apart_point(A39_11_9, L40_11_9), ~left_apart_point(A39_11_9, reverse_line(L40_11_9))
% 147.15/22.41
% 147.15/22.41 [2700] CLOSURE : ~left_apart_point(A39_11_9, L40_11_9)
% 147.15/22.41
% 147.15/22.41 [2666] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [2723] ~(left_apart_point(A39_12_9, L40_12_9) | left_apart_point(A39_12_9, reverse_line(L40_12_9)))
% 147.15/22.41
% 147.15/22.41 [2723] ALPHA_NOT_OR : ~(left_apart_point(A39_12_9, L40_12_9) | left_apart_point(A39_12_9, reverse_line(L40_12_9)))
% 147.15/22.41 -> [2726] ~left_apart_point(A39_12_9, L40_12_9), ~left_apart_point(A39_12_9, reverse_line(L40_12_9))
% 147.15/22.41
% 147.15/22.41 [2726] CLOSURE : ~left_apart_point(A39_12_9, L40_12_9)
% 147.15/22.41
% 147.15/22.41 [2493] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.41 -> [2494] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.41 -> [2495] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.41
% 147.15/22.41 [2494] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [2495] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [2879] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [2879] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [2882] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [2883] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [2882] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [2898] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [2899] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [2899] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [2898] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [2883] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [2884] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [2885] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [2885] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [2929] ~(left_apart_point(A39_16_9, L40_16_9) | left_apart_point(A39_16_9, reverse_line(L40_16_9)))
% 147.15/22.41
% 147.15/22.41 [2929] ALPHA_NOT_OR : ~(left_apart_point(A39_16_9, L40_16_9) | left_apart_point(A39_16_9, reverse_line(L40_16_9)))
% 147.15/22.41 -> [2930] ~left_apart_point(A39_16_9, L40_16_9), ~left_apart_point(A39_16_9, reverse_line(L40_16_9))
% 147.15/22.41
% 147.15/22.41 [2930] CLOSURE : ~left_apart_point(A39_16_9, L40_16_9)
% 147.15/22.41
% 147.15/22.41 [2884] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [2936] ~(left_apart_point(A39_17_9, L40_17_9) | left_apart_point(A39_17_9, reverse_line(L40_17_9)))
% 147.15/22.41
% 147.15/22.41 [2936] ALPHA_NOT_OR : ~(left_apart_point(A39_17_9, L40_17_9) | left_apart_point(A39_17_9, reverse_line(L40_17_9)))
% 147.15/22.41 -> [2937] ~left_apart_point(A39_17_9, L40_17_9), ~left_apart_point(A39_17_9, reverse_line(L40_17_9))
% 147.15/22.41
% 147.15/22.41 [2937] CLOSURE : ~left_apart_point(A39_17_9, L40_17_9)
% 147.15/22.41
% 147.15/22.41 [1092] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.41 -> [1471] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1471] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.41 -> [1517] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.41
% 147.15/22.41 [1517] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.41 -> [1518] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [1519] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.41
% 147.15/22.41 [1518] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1519] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.41 -> [2366] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [2367] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [2367] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [2366] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.41 -> [3092] ~distinct_lines(N27_99_3, N27_99_3)
% 147.15/22.41
% 147.15/22.41 [3092] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.41 -> [3173] (distinct_lines(N27_99_3, N27_99_3) => (distinct_lines(N27_99_3, N27_99_3) | distinct_lines(N27_99_3, N27_99_3)))
% 147.15/22.41
% 147.15/22.41 [3173] BETA_IMPLY : (distinct_lines(N27_99_3, N27_99_3) => (distinct_lines(N27_99_3, N27_99_3) | distinct_lines(N27_99_3, N27_99_3)))
% 147.15/22.41 -> [3176] ~distinct_lines(N27_99_3, N27_99_3)
% 147.15/22.41 -> [3177] (distinct_lines(N27_99_3, N27_99_3) | distinct_lines(N27_99_3, N27_99_3))
% 147.15/22.41
% 147.15/22.41 [3177] BETA_OR : (distinct_lines(N27_99_3, N27_99_3) | distinct_lines(N27_99_3, N27_99_3))
% 147.15/22.41 -> [3179] distinct_lines(N27_99_3, N27_99_3)
% 147.15/22.41 -> [3180] distinct_lines(N27_99_3, N27_99_3)
% 147.15/22.41
% 147.15/22.41 [3180] CLOSURE : distinct_lines(N27_99_3, N27_99_3)
% 147.15/22.41
% 147.15/22.41 [3179] CLOSURE : distinct_lines(N27_99_3, N27_99_3)
% 147.15/22.41
% 147.15/22.41 [3176] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.41 -> [3315] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [3315] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.41 -> [3488] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [3488] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.41 -> [3489] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41 -> [3490] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [3489] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [3490] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.41 -> [5592] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41 -> [5593] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [5592] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [5593] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.41 -> [7561] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41
% 147.15/22.41 [7561] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41 -> [7562] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [7563] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [7562] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [7577] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [7578] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [7578] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [7577] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [7563] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [10644] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [10645] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [10644] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [10652] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [10652] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [10645] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [10647] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [10647] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [10691] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [10691] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [10693] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [10694] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [10693] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [10704] ~line(skolem_M7878)
% 147.15/22.41 -> [10705] ~line(skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [10704] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [10756] ((unequally_directed_lines(skolem_N7979, M38_404_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_404_8))) => (left_convergent_lines(skolem_N7979, M38_404_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_404_8))))
% 147.15/22.41
% 147.15/22.41 [10756] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_404_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_404_8))) => (left_convergent_lines(skolem_N7979, M38_404_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_404_8))))
% 147.15/22.41 -> [10758] ~(unequally_directed_lines(skolem_N7979, M38_404_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_404_8)))
% 147.15/22.41 -> [10759] (left_convergent_lines(skolem_N7979, M38_404_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_404_8)))
% 147.15/22.41
% 147.15/22.41 [10758] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_404_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_404_8)))
% 147.15/22.41 -> [10836] ~unequally_directed_lines(skolem_N7979, M38_404_8)
% 147.15/22.41 -> [10837] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_404_8))
% 147.15/22.41
% 147.15/22.41 [10837] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_404_8))
% 147.15/22.41
% 147.15/22.41 [10836] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_404_8)
% 147.15/22.41
% 147.15/22.41 [10759] BETA_OR : (left_convergent_lines(skolem_N7979, M38_404_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_404_8)))
% 147.15/22.41 -> [10764] left_convergent_lines(skolem_N7979, M38_404_8)
% 147.15/22.41 -> [10765] left_convergent_lines(skolem_N7979, reverse_line(M38_404_8))
% 147.15/22.41
% 147.15/22.41 [10765] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [10981] ~(left_apart_point(A39_815_9, L40_815_9) | left_apart_point(A39_815_9, reverse_line(L40_815_9)))
% 147.15/22.41
% 147.15/22.41 [10981] ALPHA_NOT_OR : ~(left_apart_point(A39_815_9, L40_815_9) | left_apart_point(A39_815_9, reverse_line(L40_815_9)))
% 147.15/22.41 -> [10983] ~left_apart_point(A39_815_9, L40_815_9), ~left_apart_point(A39_815_9, reverse_line(L40_815_9))
% 147.15/22.41
% 147.15/22.41 [10983] CLOSURE : ~left_apart_point(A39_815_9, L40_815_9)
% 147.15/22.41
% 147.15/22.41 [10764] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [10897] ~(left_apart_point(A39_797_9, L40_797_9) | left_apart_point(A39_797_9, reverse_line(L40_797_9)))
% 147.15/22.41
% 147.15/22.41 [10897] ALPHA_NOT_OR : ~(left_apart_point(A39_797_9, L40_797_9) | left_apart_point(A39_797_9, reverse_line(L40_797_9)))
% 147.15/22.41 -> [11034] ~left_apart_point(A39_797_9, L40_797_9), ~left_apart_point(A39_797_9, reverse_line(L40_797_9))
% 147.15/22.41
% 147.15/22.41 [11034] CLOSURE : ~left_apart_point(A39_797_9, L40_797_9)
% 147.15/22.41
% 147.15/22.41 [10705] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [10730] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.41
% 147.15/22.41 [10730] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.41 -> [10732] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [10733] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41
% 147.15/22.41 [10733] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [10736] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [10737] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [10737] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [10799] ~(left_apart_point(A39_787_9, L40_787_9) | left_apart_point(A39_787_9, reverse_line(L40_787_9)))
% 147.15/22.41
% 147.15/22.41 [10799] ALPHA_NOT_OR : ~(left_apart_point(A39_787_9, L40_787_9) | left_apart_point(A39_787_9, reverse_line(L40_787_9)))
% 147.15/22.41 -> [10801] ~left_apart_point(A39_787_9, L40_787_9), ~left_apart_point(A39_787_9, reverse_line(L40_787_9))
% 147.15/22.41
% 147.15/22.41 [10801] CLOSURE : ~left_apart_point(A39_787_9, L40_787_9)
% 147.15/22.41
% 147.15/22.41 [10736] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [10825] ~(left_apart_point(A39_790_9, L40_790_9) | left_apart_point(A39_790_9, reverse_line(L40_790_9)))
% 147.15/22.41
% 147.15/22.41 [10825] ALPHA_NOT_OR : ~(left_apart_point(A39_790_9, L40_790_9) | left_apart_point(A39_790_9, reverse_line(L40_790_9)))
% 147.15/22.41 -> [10826] ~left_apart_point(A39_790_9, L40_790_9), ~left_apart_point(A39_790_9, reverse_line(L40_790_9))
% 147.15/22.41
% 147.15/22.41 [10826] CLOSURE : ~left_apart_point(A39_790_9, L40_790_9)
% 147.15/22.41
% 147.15/22.41 [10732] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [10769] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [10770] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [10770] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [10769] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [10694] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [10698] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41 -> [10699] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [10698] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [10699] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [10743] ((unequally_directed_lines(skolem_N7979, M38_403_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_403_8))) => (left_convergent_lines(skolem_N7979, M38_403_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_403_8))))
% 147.15/22.41
% 147.15/22.41 [10743] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_403_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_403_8))) => (left_convergent_lines(skolem_N7979, M38_403_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_403_8))))
% 147.15/22.41 -> [10745] ~(unequally_directed_lines(skolem_N7979, M38_403_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_403_8)))
% 147.15/22.41 -> [10746] (left_convergent_lines(skolem_N7979, M38_403_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_403_8)))
% 147.15/22.41
% 147.15/22.41 [10745] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_403_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_403_8)))
% 147.15/22.41 -> [11204] ~unequally_directed_lines(skolem_N7979, M38_403_8)
% 147.15/22.41 -> [11205] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_403_8))
% 147.15/22.41
% 147.15/22.41 [11205] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_403_8))
% 147.15/22.41
% 147.15/22.41 [11204] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_403_8)
% 147.15/22.41
% 147.15/22.41 [10746] BETA_OR : (left_convergent_lines(skolem_N7979, M38_403_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_403_8)))
% 147.15/22.41 -> [10752] left_convergent_lines(skolem_N7979, M38_403_8)
% 147.15/22.41 -> [10753] left_convergent_lines(skolem_N7979, reverse_line(M38_403_8))
% 147.15/22.41
% 147.15/22.41 [10752] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11375] ~(left_apart_point(A39_860_9, L40_860_9) | left_apart_point(A39_860_9, reverse_line(L40_860_9)))
% 147.15/22.41
% 147.15/22.41 [11375] ALPHA_NOT_OR : ~(left_apart_point(A39_860_9, L40_860_9) | left_apart_point(A39_860_9, reverse_line(L40_860_9)))
% 147.15/22.41 -> [11377] ~left_apart_point(A39_860_9, L40_860_9), ~left_apart_point(A39_860_9, reverse_line(L40_860_9))
% 147.15/22.41
% 147.15/22.41 [11377] CLOSURE : ~left_apart_point(A39_860_9, L40_860_9)
% 147.15/22.41
% 147.15/22.41 [10753] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [11411] ~(left_apart_point(A39_866_9, L40_866_9) | left_apart_point(A39_866_9, reverse_line(L40_866_9)))
% 147.15/22.41
% 147.15/22.41 [11411] ALPHA_NOT_OR : ~(left_apart_point(A39_866_9, L40_866_9) | left_apart_point(A39_866_9, reverse_line(L40_866_9)))
% 147.15/22.41 -> [11412] ~left_apart_point(A39_866_9, L40_866_9), ~left_apart_point(A39_866_9, reverse_line(L40_866_9))
% 147.15/22.41
% 147.15/22.41 [11412] CLOSURE : ~left_apart_point(A39_866_9, L40_866_9)
% 147.15/22.41
% 147.15/22.41 [1081] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.41 -> [1420] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.41
% 147.15/22.41 [1420] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.41 -> [1488] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.41
% 147.15/22.41 [1488] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.41 -> [1489] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [1490] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [1489] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1490] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.41 -> [2313] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.41 -> [2314] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.41
% 147.15/22.41 [2313] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.41
% 147.15/22.41 [2314] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.41 -> [3172] ~distinct_lines(N27_106_3, N27_106_3)
% 147.15/22.41
% 147.15/22.41 [3172] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.41 -> [3268] (distinct_lines(N27_106_3, N27_106_3) => (distinct_lines(N27_106_3, N27_106_3) | distinct_lines(N27_106_3, N27_106_3)))
% 147.15/22.41
% 147.15/22.41 [3268] BETA_IMPLY : (distinct_lines(N27_106_3, N27_106_3) => (distinct_lines(N27_106_3, N27_106_3) | distinct_lines(N27_106_3, N27_106_3)))
% 147.15/22.41 -> [3269] ~distinct_lines(N27_106_3, N27_106_3)
% 147.15/22.41 -> [3270] (distinct_lines(N27_106_3, N27_106_3) | distinct_lines(N27_106_3, N27_106_3))
% 147.15/22.41
% 147.15/22.41 [3270] BETA_OR : (distinct_lines(N27_106_3, N27_106_3) | distinct_lines(N27_106_3, N27_106_3))
% 147.15/22.41 -> [3271] distinct_lines(N27_106_3, N27_106_3)
% 147.15/22.41 -> [3272] distinct_lines(N27_106_3, N27_106_3)
% 147.15/22.41
% 147.15/22.41 [3271] CLOSURE : distinct_lines(N27_106_3, N27_106_3)
% 147.15/22.41
% 147.15/22.41 [3272] CLOSURE : distinct_lines(N27_106_3, N27_106_3)
% 147.15/22.41
% 147.15/22.41 [3269] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.41 -> [3399] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [3399] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.41 -> [3599] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [3599] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.41 -> [3602] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41 -> [3603] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [3602] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [3603] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.41 -> [8661] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41 -> [8662] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [8661] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [8662] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.41 -> [10124] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41
% 147.15/22.41 [10124] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.41 -> [10130] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [10131] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [10130] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [10164] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [10165] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [10165] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [10164] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [10131] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [11936] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11937] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [11936] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11967] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [11967] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [11937] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [11941] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [11941] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [12441] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [12441] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [12444] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [12445] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [12445] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [12447] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41 -> [12448] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [12447] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [12448] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [12616] ((unequally_directed_lines(skolem_N7979, M38_526_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_526_8))) => (left_convergent_lines(skolem_N7979, M38_526_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_526_8))))
% 147.15/22.41
% 147.15/22.41 [12616] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_526_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_526_8))) => (left_convergent_lines(skolem_N7979, M38_526_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_526_8))))
% 147.15/22.41 -> [12617] ~(unequally_directed_lines(skolem_N7979, M38_526_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_526_8)))
% 147.15/22.41 -> [12618] (left_convergent_lines(skolem_N7979, M38_526_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_526_8)))
% 147.15/22.41
% 147.15/22.41 [12618] BETA_OR : (left_convergent_lines(skolem_N7979, M38_526_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_526_8)))
% 147.15/22.41 -> [12623] left_convergent_lines(skolem_N7979, M38_526_8)
% 147.15/22.41 -> [12624] left_convergent_lines(skolem_N7979, reverse_line(M38_526_8))
% 147.15/22.41
% 147.15/22.41 [12624] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12650] ~(left_apart_point(A39_1048_9, L40_1048_9) | left_apart_point(A39_1048_9, reverse_line(L40_1048_9)))
% 147.15/22.41
% 147.15/22.41 [12650] ALPHA_NOT_OR : ~(left_apart_point(A39_1048_9, L40_1048_9) | left_apart_point(A39_1048_9, reverse_line(L40_1048_9)))
% 147.15/22.41 -> [12656] ~left_apart_point(A39_1048_9, L40_1048_9), ~left_apart_point(A39_1048_9, reverse_line(L40_1048_9))
% 147.15/22.41
% 147.15/22.41 [12656] CLOSURE : ~left_apart_point(A39_1048_9, L40_1048_9)
% 147.15/22.41
% 147.15/22.41 [12623] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12690] ~(left_apart_point(A39_1054_9, L40_1054_9) | left_apart_point(A39_1054_9, reverse_line(L40_1054_9)))
% 147.15/22.41
% 147.15/22.41 [12690] ALPHA_NOT_OR : ~(left_apart_point(A39_1054_9, L40_1054_9) | left_apart_point(A39_1054_9, reverse_line(L40_1054_9)))
% 147.15/22.41 -> [12692] ~left_apart_point(A39_1054_9, L40_1054_9), ~left_apart_point(A39_1054_9, reverse_line(L40_1054_9))
% 147.15/22.41
% 147.15/22.41 [12692] CLOSURE : ~left_apart_point(A39_1054_9, L40_1054_9)
% 147.15/22.41
% 147.15/22.41 [12617] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_526_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_526_8)))
% 147.15/22.41 -> [12634] ~unequally_directed_lines(skolem_N7979, M38_526_8)
% 147.15/22.41 -> [12635] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_526_8))
% 147.15/22.41
% 147.15/22.41 [12634] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_526_8)
% 147.15/22.41
% 147.15/22.41 [12635] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_526_8))
% 147.15/22.41
% 147.15/22.41 [12444] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.41 -> [12556] ~line(skolem_M7878)
% 147.15/22.41 -> [12557] ~line(skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [12556] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [12683] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.41
% 147.15/22.41 [12683] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.41 -> [12688] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [12689] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41
% 147.15/22.41 [12688] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [12707] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [12708] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [12708] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [12707] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [12689] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [12693] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [12694] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [12694] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12711] ~(left_apart_point(A39_1061_9, L40_1061_9) | left_apart_point(A39_1061_9, reverse_line(L40_1061_9)))
% 147.15/22.41
% 147.15/22.41 [12711] ALPHA_NOT_OR : ~(left_apart_point(A39_1061_9, L40_1061_9) | left_apart_point(A39_1061_9, reverse_line(L40_1061_9)))
% 147.15/22.41 -> [12714] ~left_apart_point(A39_1061_9, L40_1061_9), ~left_apart_point(A39_1061_9, reverse_line(L40_1061_9))
% 147.15/22.41
% 147.15/22.41 [12714] CLOSURE : ~left_apart_point(A39_1061_9, L40_1061_9)
% 147.15/22.41
% 147.15/22.41 [12693] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12715] ~(left_apart_point(A39_1062_9, L40_1062_9) | left_apart_point(A39_1062_9, reverse_line(L40_1062_9)))
% 147.15/22.41
% 147.15/22.41 [12715] ALPHA_NOT_OR : ~(left_apart_point(A39_1062_9, L40_1062_9) | left_apart_point(A39_1062_9, reverse_line(L40_1062_9)))
% 147.15/22.41 -> [12718] ~left_apart_point(A39_1062_9, L40_1062_9), ~left_apart_point(A39_1062_9, reverse_line(L40_1062_9))
% 147.15/22.41
% 147.15/22.41 [12718] CLOSURE : ~left_apart_point(A39_1062_9, L40_1062_9)
% 147.15/22.41
% 147.15/22.41 [12557] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [12665] ((unequally_directed_lines(skolem_N7979, M38_532_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_532_8))) => (left_convergent_lines(skolem_N7979, M38_532_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_532_8))))
% 147.15/22.41
% 147.15/22.41 [12665] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_532_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_532_8))) => (left_convergent_lines(skolem_N7979, M38_532_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_532_8))))
% 147.15/22.41 -> [12668] ~(unequally_directed_lines(skolem_N7979, M38_532_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_532_8)))
% 147.15/22.41 -> [12669] (left_convergent_lines(skolem_N7979, M38_532_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_532_8)))
% 147.15/22.41
% 147.15/22.41 [12669] BETA_OR : (left_convergent_lines(skolem_N7979, M38_532_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_532_8)))
% 147.15/22.41 -> [12672] left_convergent_lines(skolem_N7979, M38_532_8)
% 147.15/22.41 -> [12673] left_convergent_lines(skolem_N7979, reverse_line(M38_532_8))
% 147.15/22.41
% 147.15/22.41 [12673] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12709] ~(left_apart_point(A39_1059_9, L40_1059_9) | left_apart_point(A39_1059_9, reverse_line(L40_1059_9)))
% 147.15/22.41
% 147.15/22.41 [12709] ALPHA_NOT_OR : ~(left_apart_point(A39_1059_9, L40_1059_9) | left_apart_point(A39_1059_9, reverse_line(L40_1059_9)))
% 147.15/22.41 -> [12712] ~left_apart_point(A39_1059_9, L40_1059_9), ~left_apart_point(A39_1059_9, reverse_line(L40_1059_9))
% 147.15/22.41
% 147.15/22.41 [12712] CLOSURE : ~left_apart_point(A39_1059_9, L40_1059_9)
% 147.15/22.41
% 147.15/22.41 [12672] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [12710] ~(left_apart_point(A39_1060_9, L40_1060_9) | left_apart_point(A39_1060_9, reverse_line(L40_1060_9)))
% 147.15/22.41
% 147.15/22.41 [12710] ALPHA_NOT_OR : ~(left_apart_point(A39_1060_9, L40_1060_9) | left_apart_point(A39_1060_9, reverse_line(L40_1060_9)))
% 147.15/22.41 -> [12713] ~left_apart_point(A39_1060_9, L40_1060_9), ~left_apart_point(A39_1060_9, reverse_line(L40_1060_9))
% 147.15/22.41
% 147.15/22.41 [12713] CLOSURE : ~left_apart_point(A39_1060_9, L40_1060_9)
% 147.15/22.41
% 147.15/22.41 [12668] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_532_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_532_8)))
% 147.15/22.41 -> [12684] ~unequally_directed_lines(skolem_N7979, M38_532_8)
% 147.15/22.41 -> [12685] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_532_8))
% 147.15/22.41
% 147.15/22.41 [12685] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_532_8))
% 147.15/22.41
% 147.15/22.41 [12684] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_532_8)
% 147.15/22.41
% 147.15/22.41 [220] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [272] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.41 -> [273] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [273] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [281] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [281] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [289] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.41 -> [290] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [289] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [598] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41 -> [599] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [598] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [599] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [290] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [365] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [365] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [514] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41 -> [515] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [515] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [514] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [272] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [551] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.41 -> [552] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [552] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [556] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [556] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.41 -> [558] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.15/22.41 -> [559] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [559] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41 -> [566] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [566] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [567] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41 -> [568] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [568] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [567] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [558] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [1035] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41 -> [1036] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [1035] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [1036] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [551] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.41 -> [1041] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.15/22.41 -> [1042] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [1041] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.41 -> [1372] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.41
% 147.15/22.41 [1372] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.41 -> [1400] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.41
% 147.15/22.41 [1400] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.41 -> [1401] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41 -> [1402] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [1401] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.41
% 147.15/22.41 [1402] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.41 -> [2339] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.41 -> [2340] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.41
% 147.15/22.41 [2339] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.41
% 147.15/22.41 [2340] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.41 -> [2670] ~distinct_lines(N27_74_3, N27_74_3)
% 147.15/22.41
% 147.15/22.41 [2670] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.41 -> [2699] (distinct_lines(N27_74_3, N27_74_3) => (distinct_lines(N27_74_3, N27_74_3) | distinct_lines(N27_74_3, N27_74_3)))
% 147.15/22.41
% 147.15/22.41 [2699] BETA_IMPLY : (distinct_lines(N27_74_3, N27_74_3) => (distinct_lines(N27_74_3, N27_74_3) | distinct_lines(N27_74_3, N27_74_3)))
% 147.15/22.41 -> [2701] ~distinct_lines(N27_74_3, N27_74_3)
% 147.15/22.41 -> [2702] (distinct_lines(N27_74_3, N27_74_3) | distinct_lines(N27_74_3, N27_74_3))
% 147.15/22.41
% 147.15/22.41 [2702] BETA_OR : (distinct_lines(N27_74_3, N27_74_3) | distinct_lines(N27_74_3, N27_74_3))
% 147.15/22.41 -> [2711] distinct_lines(N27_74_3, N27_74_3)
% 147.15/22.41 -> [2712] distinct_lines(N27_74_3, N27_74_3)
% 147.15/22.41
% 147.15/22.41 [2712] CLOSURE : distinct_lines(N27_74_3, N27_74_3)
% 147.15/22.41
% 147.15/22.41 [2711] CLOSURE : distinct_lines(N27_74_3, N27_74_3)
% 147.15/22.41
% 147.15/22.41 [2701] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.41 -> [2749] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2749] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.41 -> [2760] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.41
% 147.15/22.41 [2760] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.41 -> [2761] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41 -> [2762] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.41
% 147.15/22.41 [2761] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [2762] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.41 -> [3365] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41 -> [3366] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [3366] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [3365] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.41 -> [4920] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_61_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_61_6))) | (unequally_directed_lines(skolem_N7979, N34_61_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_61_6)))))
% 147.15/22.41
% 147.15/22.41 [4920] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_61_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_61_6))) | (unequally_directed_lines(skolem_N7979, N34_61_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_61_6)))))
% 147.15/22.41 -> [4925] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [4926] ((unequally_directed_lines(skolem_M7878, N34_61_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_61_6))) | (unequally_directed_lines(skolem_N7979, N34_61_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_61_6))))
% 147.15/22.41
% 147.15/22.41 [4925] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.41 -> [4983] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41 -> [4984] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [4984] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [4983] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [4926] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_61_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_61_6))) | (unequally_directed_lines(skolem_N7979, N34_61_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_61_6))))
% 147.15/22.41 -> [5730] (unequally_directed_lines(skolem_M7878, N34_61_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_61_6)))
% 147.15/22.41 -> [5731] (unequally_directed_lines(skolem_N7979, N34_61_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_61_6)))
% 147.15/22.41
% 147.15/22.41 [5730] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_61_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_61_6)))
% 147.15/22.41 -> [5744] unequally_directed_lines(skolem_M7878, N34_61_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_61_6))
% 147.15/22.41
% 147.15/22.41 [5744] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [5789] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.41
% 147.15/22.41 [5789] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.41 -> [5790] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.41 -> [5791] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.41
% 147.15/22.41 [5791] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.41 -> [5793] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.41 -> [5794] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [5794] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.41
% 147.15/22.41 [5793] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [6965] ((unequally_directed_lines(skolem_M7878, M38_178_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_178_8))) => (left_convergent_lines(skolem_M7878, M38_178_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_178_8))))
% 147.15/22.41
% 147.15/22.41 [6965] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_178_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_178_8))) => (left_convergent_lines(skolem_M7878, M38_178_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_178_8))))
% 147.15/22.41 -> [6968] ~(unequally_directed_lines(skolem_M7878, M38_178_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_178_8)))
% 147.15/22.41 -> [6969] (left_convergent_lines(skolem_M7878, M38_178_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_178_8)))
% 147.15/22.41
% 147.15/22.41 [6968] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_178_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_178_8)))
% 147.15/22.41 -> [6975] ~unequally_directed_lines(skolem_M7878, M38_178_8)
% 147.15/22.41 -> [6976] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_178_8))
% 147.15/22.41
% 147.15/22.41 [6976] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_178_8))
% 147.15/22.41
% 147.15/22.41 [6975] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_178_8)
% 147.15/22.41
% 147.15/22.41 [6969] BETA_OR : (left_convergent_lines(skolem_M7878, M38_178_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_178_8)))
% 147.15/22.41 -> [6972] left_convergent_lines(skolem_M7878, M38_178_8)
% 147.15/22.41 -> [6973] left_convergent_lines(skolem_M7878, reverse_line(M38_178_8))
% 147.15/22.41
% 147.15/22.41 [6973] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6990] ~(left_apart_point(A39_309_9, L40_309_9) | left_apart_point(A39_309_9, reverse_line(L40_309_9)))
% 147.15/22.41
% 147.15/22.41 [6990] ALPHA_NOT_OR : ~(left_apart_point(A39_309_9, L40_309_9) | left_apart_point(A39_309_9, reverse_line(L40_309_9)))
% 147.15/22.41 -> [6991] ~left_apart_point(A39_309_9, L40_309_9), ~left_apart_point(A39_309_9, reverse_line(L40_309_9))
% 147.15/22.41
% 147.15/22.41 [6991] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [7042] ~(left_convergent_lines(L41_70_10, M42_70_10) | left_convergent_lines(L41_70_10, reverse_line(M42_70_10)))
% 147.15/22.41
% 147.15/22.41 [7042] ALPHA_NOT_OR : ~(left_convergent_lines(L41_70_10, M42_70_10) | left_convergent_lines(L41_70_10, reverse_line(M42_70_10)))
% 147.15/22.41 -> [7043] ~left_convergent_lines(L41_70_10, M42_70_10), ~left_convergent_lines(L41_70_10, reverse_line(M42_70_10))
% 147.15/22.41
% 147.15/22.41 [7043] CLOSURE : ~left_convergent_lines(L41_70_10, M42_70_10)
% 147.15/22.41
% 147.15/22.41 [6972] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6996] ~(left_apart_point(A39_311_9, L40_311_9) | left_apart_point(A39_311_9, reverse_line(L40_311_9)))
% 147.15/22.41
% 147.15/22.41 [6996] ALPHA_NOT_OR : ~(left_apart_point(A39_311_9, L40_311_9) | left_apart_point(A39_311_9, reverse_line(L40_311_9)))
% 147.15/22.41 -> [6997] ~left_apart_point(A39_311_9, L40_311_9), ~left_apart_point(A39_311_9, reverse_line(L40_311_9))
% 147.15/22.41
% 147.15/22.41 [6997] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [7068] ~(left_convergent_lines(L41_72_10, M42_72_10) | left_convergent_lines(L41_72_10, reverse_line(M42_72_10)))
% 147.15/22.41
% 147.15/22.41 [7068] ALPHA_NOT_OR : ~(left_convergent_lines(L41_72_10, M42_72_10) | left_convergent_lines(L41_72_10, reverse_line(M42_72_10)))
% 147.15/22.41 -> [7071] ~left_convergent_lines(L41_72_10, M42_72_10), ~left_convergent_lines(L41_72_10, reverse_line(M42_72_10))
% 147.15/22.41
% 147.15/22.41 [7071] CLOSURE : ~left_convergent_lines(L41_72_10, M42_72_10)
% 147.15/22.41
% 147.15/22.41 [5790] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.41 -> [5803] ~line(reverse_line(skolem_N7979))
% 147.15/22.41 -> [5804] ~line(skolem_N7979)
% 147.15/22.41
% 147.15/22.41 [5804] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [5972] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [5972] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [5974] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [5975] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [5974] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [6024] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [6025] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [6025] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [6024] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [5975] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [5980] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [5981] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [5980] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6210] ~(left_apart_point(A39_238_9, L40_238_9) | left_apart_point(A39_238_9, reverse_line(L40_238_9)))
% 147.15/22.41
% 147.15/22.41 [6210] ALPHA_NOT_OR : ~(left_apart_point(A39_238_9, L40_238_9) | left_apart_point(A39_238_9, reverse_line(L40_238_9)))
% 147.15/22.41 -> [6214] ~left_apart_point(A39_238_9, L40_238_9), ~left_apart_point(A39_238_9, reverse_line(L40_238_9))
% 147.15/22.41
% 147.15/22.41 [6214] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [6561] ~(left_convergent_lines(L41_51_10, M42_51_10) | left_convergent_lines(L41_51_10, reverse_line(M42_51_10)))
% 147.15/22.41
% 147.15/22.41 [6561] ALPHA_NOT_OR : ~(left_convergent_lines(L41_51_10, M42_51_10) | left_convergent_lines(L41_51_10, reverse_line(M42_51_10)))
% 147.15/22.41 -> [6563] ~left_convergent_lines(L41_51_10, M42_51_10), ~left_convergent_lines(L41_51_10, reverse_line(M42_51_10))
% 147.15/22.41
% 147.15/22.41 [6563] CLOSURE : ~left_convergent_lines(L41_51_10, M42_51_10)
% 147.15/22.41
% 147.15/22.41 [5981] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6152] ~(left_apart_point(A39_234_9, L40_234_9) | left_apart_point(A39_234_9, reverse_line(L40_234_9)))
% 147.15/22.41
% 147.15/22.41 [6152] ALPHA_NOT_OR : ~(left_apart_point(A39_234_9, L40_234_9) | left_apart_point(A39_234_9, reverse_line(L40_234_9)))
% 147.15/22.41 -> [6153] ~left_apart_point(A39_234_9, L40_234_9), ~left_apart_point(A39_234_9, reverse_line(L40_234_9))
% 147.15/22.41
% 147.15/22.41 [6153] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [7480] ~(left_convergent_lines(L41_90_10, M42_90_10) | left_convergent_lines(L41_90_10, reverse_line(M42_90_10)))
% 147.15/22.41
% 147.15/22.41 [7480] ALPHA_NOT_OR : ~(left_convergent_lines(L41_90_10, M42_90_10) | left_convergent_lines(L41_90_10, reverse_line(M42_90_10)))
% 147.15/22.41 -> [7483] ~left_convergent_lines(L41_90_10, M42_90_10), ~left_convergent_lines(L41_90_10, reverse_line(M42_90_10))
% 147.15/22.41
% 147.15/22.41 [7483] CLOSURE : ~left_convergent_lines(L41_90_10, M42_90_10)
% 147.15/22.41
% 147.15/22.41 [5803] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [5991] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41
% 147.15/22.41 [5991] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.41 -> [5995] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [5996] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41
% 147.15/22.41 [5995] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [6031] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [6032] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [6031] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41
% 147.15/22.41 [6032] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [5996] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.41 -> [5997] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.41 -> [5998] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.41
% 147.15/22.41 [5997] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6228] ~(left_apart_point(A39_239_9, L40_239_9) | left_apart_point(A39_239_9, reverse_line(L40_239_9)))
% 147.15/22.41
% 147.15/22.41 [6228] ALPHA_NOT_OR : ~(left_apart_point(A39_239_9, L40_239_9) | left_apart_point(A39_239_9, reverse_line(L40_239_9)))
% 147.15/22.41 -> [6233] ~left_apart_point(A39_239_9, L40_239_9), ~left_apart_point(A39_239_9, reverse_line(L40_239_9))
% 147.15/22.41
% 147.15/22.41 [6233] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [7492] ~(left_convergent_lines(L41_92_10, M42_92_10) | left_convergent_lines(L41_92_10, reverse_line(M42_92_10)))
% 147.15/22.41
% 147.15/22.41 [7492] ALPHA_NOT_OR : ~(left_convergent_lines(L41_92_10, M42_92_10) | left_convergent_lines(L41_92_10, reverse_line(M42_92_10)))
% 147.15/22.41 -> [7493] ~left_convergent_lines(L41_92_10, M42_92_10), ~left_convergent_lines(L41_92_10, reverse_line(M42_92_10))
% 147.15/22.41
% 147.15/22.41 [7493] CLOSURE : ~left_convergent_lines(L41_92_10, M42_92_10)
% 147.15/22.41
% 147.15/22.41 [5998] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6159] ~(left_apart_point(A39_235_9, L40_235_9) | left_apart_point(A39_235_9, reverse_line(L40_235_9)))
% 147.15/22.41
% 147.15/22.41 [6159] ALPHA_NOT_OR : ~(left_apart_point(A39_235_9, L40_235_9) | left_apart_point(A39_235_9, reverse_line(L40_235_9)))
% 147.15/22.41 -> [6164] ~left_apart_point(A39_235_9, L40_235_9), ~left_apart_point(A39_235_9, reverse_line(L40_235_9))
% 147.15/22.41
% 147.15/22.41 [6164] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [7599] ~(left_convergent_lines(L41_98_10, M42_98_10) | left_convergent_lines(L41_98_10, reverse_line(M42_98_10)))
% 147.15/22.41
% 147.15/22.41 [7599] ALPHA_NOT_OR : ~(left_convergent_lines(L41_98_10, M42_98_10) | left_convergent_lines(L41_98_10, reverse_line(M42_98_10)))
% 147.15/22.41 -> [7601] ~left_convergent_lines(L41_98_10, M42_98_10), ~left_convergent_lines(L41_98_10, reverse_line(M42_98_10))
% 147.15/22.41
% 147.15/22.41 [7601] CLOSURE : ~left_convergent_lines(L41_98_10, M42_98_10)
% 147.15/22.41
% 147.15/22.41 [5731] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_61_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_61_6)))
% 147.15/22.41 -> [5737] unequally_directed_lines(skolem_N7979, N34_61_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_61_6))
% 147.15/22.41
% 147.15/22.41 [5737] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.41 -> [5771] ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.15/22.41
% 147.15/22.41 [5771] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.15/22.41 -> [5774] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.41 -> [5775] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.41
% 147.15/22.41 [5775] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.41 -> [5784] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.41 -> [5785] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.41
% 147.15/22.41 [5784] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [5785] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [7017] ((unequally_directed_lines(skolem_N7979, M38_179_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_179_8))) => (left_convergent_lines(skolem_N7979, M38_179_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_179_8))))
% 147.15/22.41
% 147.15/22.41 [7017] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_179_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_179_8))) => (left_convergent_lines(skolem_N7979, M38_179_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_179_8))))
% 147.15/22.41 -> [7019] ~(unequally_directed_lines(skolem_N7979, M38_179_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_179_8)))
% 147.15/22.41 -> [7020] (left_convergent_lines(skolem_N7979, M38_179_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_179_8)))
% 147.15/22.41
% 147.15/22.41 [7019] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_179_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_179_8)))
% 147.15/22.41 -> [7052] ~unequally_directed_lines(skolem_N7979, M38_179_8)
% 147.15/22.41 -> [7053] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_179_8))
% 147.15/22.41
% 147.15/22.41 [7053] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_179_8))
% 147.15/22.41
% 147.15/22.41 [7052] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_179_8)
% 147.15/22.41
% 147.15/22.41 [7020] BETA_OR : (left_convergent_lines(skolem_N7979, M38_179_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_179_8)))
% 147.15/22.41 -> [7026] left_convergent_lines(skolem_N7979, M38_179_8)
% 147.15/22.41 -> [7027] left_convergent_lines(skolem_N7979, reverse_line(M38_179_8))
% 147.15/22.41
% 147.15/22.41 [7026] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [7211] ~(left_apart_point(A39_331_9, L40_331_9) | left_apart_point(A39_331_9, reverse_line(L40_331_9)))
% 147.15/22.41
% 147.15/22.41 [7211] ALPHA_NOT_OR : ~(left_apart_point(A39_331_9, L40_331_9) | left_apart_point(A39_331_9, reverse_line(L40_331_9)))
% 147.15/22.41 -> [7212] ~left_apart_point(A39_331_9, L40_331_9), ~left_apart_point(A39_331_9, reverse_line(L40_331_9))
% 147.15/22.41
% 147.15/22.41 [7212] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [7435] ~(left_convergent_lines(L41_86_10, M42_86_10) | left_convergent_lines(L41_86_10, reverse_line(M42_86_10)))
% 147.15/22.41
% 147.15/22.41 [7435] ALPHA_NOT_OR : ~(left_convergent_lines(L41_86_10, M42_86_10) | left_convergent_lines(L41_86_10, reverse_line(M42_86_10)))
% 147.15/22.41 -> [7440] ~left_convergent_lines(L41_86_10, M42_86_10), ~left_convergent_lines(L41_86_10, reverse_line(M42_86_10))
% 147.15/22.41
% 147.15/22.41 [7440] CLOSURE : ~left_convergent_lines(L41_86_10, M42_86_10)
% 147.15/22.41
% 147.15/22.41 [7027] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [7169] ~(left_apart_point(A39_329_9, L40_329_9) | left_apart_point(A39_329_9, reverse_line(L40_329_9)))
% 147.15/22.41
% 147.15/22.41 [7169] ALPHA_NOT_OR : ~(left_apart_point(A39_329_9, L40_329_9) | left_apart_point(A39_329_9, reverse_line(L40_329_9)))
% 147.15/22.41 -> [7172] ~left_apart_point(A39_329_9, L40_329_9), ~left_apart_point(A39_329_9, reverse_line(L40_329_9))
% 147.15/22.41
% 147.15/22.41 [7172] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [7443] ~(left_convergent_lines(L41_87_10, M42_87_10) | left_convergent_lines(L41_87_10, reverse_line(M42_87_10)))
% 147.15/22.41
% 147.15/22.41 [7443] ALPHA_NOT_OR : ~(left_convergent_lines(L41_87_10, M42_87_10) | left_convergent_lines(L41_87_10, reverse_line(M42_87_10)))
% 147.15/22.41 -> [7446] ~left_convergent_lines(L41_87_10, M42_87_10), ~left_convergent_lines(L41_87_10, reverse_line(M42_87_10))
% 147.15/22.41
% 147.15/22.41 [7446] CLOSURE : ~left_convergent_lines(L41_87_10, M42_87_10)
% 147.15/22.41
% 147.15/22.41 [5774] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.41 -> [5795] ~line(skolem_L7777)
% 147.15/22.41 -> [5796] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.41
% 147.15/22.41 [5796] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [5819] ((unequally_directed_lines(skolem_N7979, M38_111_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_111_8))) => (left_convergent_lines(skolem_N7979, M38_111_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_111_8))))
% 147.15/22.41
% 147.15/22.41 [5819] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_111_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_111_8))) => (left_convergent_lines(skolem_N7979, M38_111_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_111_8))))
% 147.15/22.41 -> [5820] ~(unequally_directed_lines(skolem_N7979, M38_111_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_111_8)))
% 147.15/22.41 -> [5821] (left_convergent_lines(skolem_N7979, M38_111_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_111_8)))
% 147.15/22.41
% 147.15/22.41 [5820] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_111_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_111_8)))
% 147.15/22.41 -> [6113] ~unequally_directed_lines(skolem_N7979, M38_111_8)
% 147.15/22.41 -> [6114] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_111_8))
% 147.15/22.41
% 147.15/22.41 [6114] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_111_8))
% 147.15/22.41
% 147.15/22.41 [6113] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_111_8)
% 147.15/22.41
% 147.15/22.41 [5821] BETA_OR : (left_convergent_lines(skolem_N7979, M38_111_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_111_8)))
% 147.15/22.41 -> [5826] left_convergent_lines(skolem_N7979, M38_111_8)
% 147.15/22.41 -> [5827] left_convergent_lines(skolem_N7979, reverse_line(M38_111_8))
% 147.15/22.41
% 147.15/22.41 [5827] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6035] ~(left_apart_point(A39_228_9, L40_228_9) | left_apart_point(A39_228_9, reverse_line(L40_228_9)))
% 147.15/22.41
% 147.15/22.41 [6035] ALPHA_NOT_OR : ~(left_apart_point(A39_228_9, L40_228_9) | left_apart_point(A39_228_9, reverse_line(L40_228_9)))
% 147.15/22.41 -> [6037] ~left_apart_point(A39_228_9, L40_228_9), ~left_apart_point(A39_228_9, reverse_line(L40_228_9))
% 147.15/22.41
% 147.15/22.41 [6037] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [6832] ~(left_convergent_lines(L41_57_10, M42_57_10) | left_convergent_lines(L41_57_10, reverse_line(M42_57_10)))
% 147.15/22.41
% 147.15/22.41 [6832] ALPHA_NOT_OR : ~(left_convergent_lines(L41_57_10, M42_57_10) | left_convergent_lines(L41_57_10, reverse_line(M42_57_10)))
% 147.15/22.41 -> [6833] ~left_convergent_lines(L41_57_10, M42_57_10), ~left_convergent_lines(L41_57_10, reverse_line(M42_57_10))
% 147.15/22.41
% 147.15/22.41 [6833] CLOSURE : ~left_convergent_lines(L41_57_10, M42_57_10)
% 147.15/22.41
% 147.15/22.41 [5826] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6278] ~(left_apart_point(A39_241_9, L40_241_9) | left_apart_point(A39_241_9, reverse_line(L40_241_9)))
% 147.15/22.41
% 147.15/22.41 [6278] ALPHA_NOT_OR : ~(left_apart_point(A39_241_9, L40_241_9) | left_apart_point(A39_241_9, reverse_line(L40_241_9)))
% 147.15/22.41 -> [6282] ~left_apart_point(A39_241_9, L40_241_9), ~left_apart_point(A39_241_9, reverse_line(L40_241_9))
% 147.15/22.41
% 147.15/22.41 [6282] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [6942] ~(left_convergent_lines(L41_64_10, M42_64_10) | left_convergent_lines(L41_64_10, reverse_line(M42_64_10)))
% 147.15/22.41
% 147.15/22.41 [6942] ALPHA_NOT_OR : ~(left_convergent_lines(L41_64_10, M42_64_10) | left_convergent_lines(L41_64_10, reverse_line(M42_64_10)))
% 147.15/22.41 -> [6943] ~left_convergent_lines(L41_64_10, M42_64_10), ~left_convergent_lines(L41_64_10, reverse_line(M42_64_10))
% 147.15/22.41
% 147.15/22.41 [6943] CLOSURE : ~left_convergent_lines(L41_64_10, M42_64_10)
% 147.15/22.41
% 147.15/22.41 [5795] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.41 -> [6068] ((unequally_directed_lines(skolem_N7979, M38_121_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_121_8))) => (left_convergent_lines(skolem_N7979, M38_121_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_121_8))))
% 147.15/22.41
% 147.15/22.41 [6068] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_121_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_121_8))) => (left_convergent_lines(skolem_N7979, M38_121_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_121_8))))
% 147.15/22.41 -> [6070] ~(unequally_directed_lines(skolem_N7979, M38_121_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_121_8)))
% 147.15/22.41 -> [6071] (left_convergent_lines(skolem_N7979, M38_121_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_121_8)))
% 147.15/22.41
% 147.15/22.41 [6070] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_121_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_121_8)))
% 147.15/22.41 -> [6102] ~unequally_directed_lines(skolem_N7979, M38_121_8)
% 147.15/22.41 -> [6103] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_121_8))
% 147.15/22.41
% 147.15/22.41 [6102] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_121_8)
% 147.15/22.41
% 147.15/22.41 [6103] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_121_8))
% 147.15/22.41
% 147.15/22.41 [6071] BETA_OR : (left_convergent_lines(skolem_N7979, M38_121_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_121_8)))
% 147.15/22.41 -> [6077] left_convergent_lines(skolem_N7979, M38_121_8)
% 147.15/22.41 -> [6078] left_convergent_lines(skolem_N7979, reverse_line(M38_121_8))
% 147.15/22.41
% 147.15/22.41 [6078] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [6267] ~(left_apart_point(A39_240_9, L40_240_9) | left_apart_point(A39_240_9, reverse_line(L40_240_9)))
% 147.15/22.41
% 147.15/22.41 [6267] ALPHA_NOT_OR : ~(left_apart_point(A39_240_9, L40_240_9) | left_apart_point(A39_240_9, reverse_line(L40_240_9)))
% 147.15/22.41 -> [6269] ~left_apart_point(A39_240_9, L40_240_9), ~left_apart_point(A39_240_9, reverse_line(L40_240_9))
% 147.15/22.41
% 147.15/22.41 [6269] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.41 -> [7567] ~(left_convergent_lines(L41_94_10, M42_94_10) | left_convergent_lines(L41_94_10, reverse_line(M42_94_10)))
% 147.15/22.41
% 147.15/22.41 [7567] ALPHA_NOT_OR : ~(left_convergent_lines(L41_94_10, M42_94_10) | left_convergent_lines(L41_94_10, reverse_line(M42_94_10)))
% 147.15/22.41 -> [7571] ~left_convergent_lines(L41_94_10, M42_94_10), ~left_convergent_lines(L41_94_10, reverse_line(M42_94_10))
% 147.15/22.41
% 147.15/22.41 [7571] CLOSURE : ~left_convergent_lines(L41_94_10, M42_94_10)
% 147.15/22.41
% 147.15/22.41 [6077] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.41 -> [7418] ~(left_apart_point(A39_351_9, L40_351_9) | left_apart_point(A39_351_9, reverse_line(L40_351_9)))
% 147.15/22.41
% 147.15/22.41 [7418] ALPHA_NOT_OR : ~(left_apart_point(A39_351_9, L40_351_9) | left_apart_point(A39_351_9, reverse_line(L40_351_9)))
% 147.15/22.41 -> [7419] ~left_apart_point(A39_351_9, L40_351_9), ~left_apart_point(A39_351_9, reverse_line(L40_351_9))
% 147.15/22.41
% 147.15/22.41 [7419] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [7621] ~(left_convergent_lines(L41_99_10, M42_99_10) | left_convergent_lines(L41_99_10, reverse_line(M42_99_10)))
% 147.15/22.42
% 147.15/22.42 [7621] ALPHA_NOT_OR : ~(left_convergent_lines(L41_99_10, M42_99_10) | left_convergent_lines(L41_99_10, reverse_line(M42_99_10)))
% 147.15/22.42 -> [7625] ~left_convergent_lines(L41_99_10, M42_99_10), ~left_convergent_lines(L41_99_10, reverse_line(M42_99_10))
% 147.15/22.42
% 147.15/22.42 [7625] CLOSURE : ~left_convergent_lines(L41_99_10, M42_99_10)
% 147.15/22.42
% 147.15/22.42 [1042] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.42 -> [1045] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [1045] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.42 -> [1049] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.42 -> [1050] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [1050] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [1327] ~distinct_points(A20_103_0, A20_103_0)
% 147.15/22.42
% 147.15/22.42 [1327] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [1340] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.42
% 147.15/22.42 [1340] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))))
% 147.15/22.42 -> [1343] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.42 -> [1344] (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.42
% 147.15/22.42 [1343] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.42
% 147.15/22.42 [1344] BETA_OR : (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282))))
% 147.15/22.42 -> [1501] distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.42 -> [1502] distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.42
% 147.15/22.42 [1501] CLOSURE : distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)))
% 147.15/22.42
% 147.15/22.42 [1502] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [1621] ~distinct_lines(N27_11_3, N27_11_3)
% 147.15/22.42
% 147.15/22.42 [1621] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [1633] (distinct_lines(N27_11_3, N27_11_3) => (distinct_lines(N27_11_3, N27_11_3) | distinct_lines(N27_11_3, N27_11_3)))
% 147.15/22.42
% 147.15/22.42 [1633] BETA_IMPLY : (distinct_lines(N27_11_3, N27_11_3) => (distinct_lines(N27_11_3, N27_11_3) | distinct_lines(N27_11_3, N27_11_3)))
% 147.15/22.42 -> [1634] ~distinct_lines(N27_11_3, N27_11_3)
% 147.15/22.42 -> [1635] (distinct_lines(N27_11_3, N27_11_3) | distinct_lines(N27_11_3, N27_11_3))
% 147.15/22.42
% 147.15/22.42 [1635] BETA_OR : (distinct_lines(N27_11_3, N27_11_3) | distinct_lines(N27_11_3, N27_11_3))
% 147.15/22.42 -> [1638] distinct_lines(N27_11_3, N27_11_3)
% 147.15/22.42 -> [1639] distinct_lines(N27_11_3, N27_11_3)
% 147.15/22.42
% 147.15/22.42 [1639] CLOSURE : distinct_lines(N27_11_3, N27_11_3)
% 147.15/22.42
% 147.15/22.42 [1638] CLOSURE : distinct_lines(N27_11_3, N27_11_3)
% 147.15/22.42
% 147.15/22.42 [1634] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [1651] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [1651] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [1788] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [1788] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.42 -> [1789] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [1790] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [1789] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [1790] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.42 -> [2886] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [2887] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [2886] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [2887] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [2988] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42
% 147.15/22.42 [2988] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42 -> [2990] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [2991] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [2990] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [3005] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [3006] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3006] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3005] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [2991] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [4344] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [4345] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [4344] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [4358] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [4358] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [4345] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [4347] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [4347] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [4380] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [4380] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [4381] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [4382] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [4381] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [4385] ~line(skolem_M7878)
% 147.15/22.42 -> [4386] ~line(skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [4386] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [4398] ((unequally_directed_lines(skolem_N7979, M38_42_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_42_8))) => (left_convergent_lines(skolem_N7979, M38_42_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_42_8))))
% 147.15/22.42
% 147.15/22.42 [4398] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_42_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_42_8))) => (left_convergent_lines(skolem_N7979, M38_42_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_42_8))))
% 147.15/22.42 -> [4401] ~(unequally_directed_lines(skolem_N7979, M38_42_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_42_8)))
% 147.15/22.42 -> [4402] (left_convergent_lines(skolem_N7979, M38_42_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_42_8)))
% 147.15/22.42
% 147.15/22.42 [4402] BETA_OR : (left_convergent_lines(skolem_N7979, M38_42_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_42_8)))
% 147.15/22.42 -> [4408] left_convergent_lines(skolem_N7979, M38_42_8)
% 147.15/22.42 -> [4409] left_convergent_lines(skolem_N7979, reverse_line(M38_42_8))
% 147.15/22.42
% 147.15/22.42 [4409] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [4477] ~(left_apart_point(A39_79_9, L40_79_9) | left_apart_point(A39_79_9, reverse_line(L40_79_9)))
% 147.15/22.42
% 147.15/22.42 [4477] ALPHA_NOT_OR : ~(left_apart_point(A39_79_9, L40_79_9) | left_apart_point(A39_79_9, reverse_line(L40_79_9)))
% 147.15/22.42 -> [4480] ~left_apart_point(A39_79_9, L40_79_9), ~left_apart_point(A39_79_9, reverse_line(L40_79_9))
% 147.15/22.42
% 147.15/22.42 [4480] CLOSURE : ~left_apart_point(A39_79_9, L40_79_9)
% 147.15/22.42
% 147.15/22.42 [4408] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [4483] ~(left_apart_point(A39_80_9, L40_80_9) | left_apart_point(A39_80_9, reverse_line(L40_80_9)))
% 147.15/22.42
% 147.15/22.42 [4483] ALPHA_NOT_OR : ~(left_apart_point(A39_80_9, L40_80_9) | left_apart_point(A39_80_9, reverse_line(L40_80_9)))
% 147.15/22.42 -> [4486] ~left_apart_point(A39_80_9, L40_80_9), ~left_apart_point(A39_80_9, reverse_line(L40_80_9))
% 147.15/22.42
% 147.15/22.42 [4486] CLOSURE : ~left_apart_point(A39_80_9, L40_80_9)
% 147.15/22.42
% 147.15/22.42 [4401] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_42_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_42_8)))
% 147.15/22.42 -> [4429] ~unequally_directed_lines(skolem_N7979, M38_42_8)
% 147.15/22.42 -> [4430] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_42_8))
% 147.15/22.42
% 147.15/22.42 [4430] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_42_8))
% 147.15/22.42
% 147.15/22.42 [4429] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_42_8)
% 147.15/22.42
% 147.15/22.42 [4385] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [4415] ((unequally_directed_lines(skolem_N7979, M38_44_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_44_8))) => (left_convergent_lines(skolem_N7979, M38_44_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_44_8))))
% 147.15/22.42
% 147.15/22.42 [4415] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_44_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_44_8))) => (left_convergent_lines(skolem_N7979, M38_44_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_44_8))))
% 147.15/22.42 -> [4416] ~(unequally_directed_lines(skolem_N7979, M38_44_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_44_8)))
% 147.15/22.42 -> [4417] (left_convergent_lines(skolem_N7979, M38_44_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_44_8)))
% 147.15/22.42
% 147.15/22.42 [4417] BETA_OR : (left_convergent_lines(skolem_N7979, M38_44_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_44_8)))
% 147.15/22.42 -> [4418] left_convergent_lines(skolem_N7979, M38_44_8)
% 147.15/22.42 -> [4419] left_convergent_lines(skolem_N7979, reverse_line(M38_44_8))
% 147.15/22.42
% 147.15/22.42 [4418] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [4489] ~(left_apart_point(A39_81_9, L40_81_9) | left_apart_point(A39_81_9, reverse_line(L40_81_9)))
% 147.15/22.42
% 147.15/22.42 [4489] ALPHA_NOT_OR : ~(left_apart_point(A39_81_9, L40_81_9) | left_apart_point(A39_81_9, reverse_line(L40_81_9)))
% 147.15/22.42 -> [4493] ~left_apart_point(A39_81_9, L40_81_9), ~left_apart_point(A39_81_9, reverse_line(L40_81_9))
% 147.15/22.42
% 147.15/22.42 [4493] CLOSURE : ~left_apart_point(A39_81_9, L40_81_9)
% 147.15/22.42
% 147.15/22.42 [4419] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [4497] ~(left_apart_point(A39_82_9, L40_82_9) | left_apart_point(A39_82_9, reverse_line(L40_82_9)))
% 147.15/22.42
% 147.15/22.42 [4497] ALPHA_NOT_OR : ~(left_apart_point(A39_82_9, L40_82_9) | left_apart_point(A39_82_9, reverse_line(L40_82_9)))
% 147.15/22.42 -> [4500] ~left_apart_point(A39_82_9, L40_82_9), ~left_apart_point(A39_82_9, reverse_line(L40_82_9))
% 147.15/22.42
% 147.15/22.42 [4500] CLOSURE : ~left_apart_point(A39_82_9, L40_82_9)
% 147.15/22.42
% 147.15/22.42 [4416] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_44_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_44_8)))
% 147.15/22.42 -> [4442] ~unequally_directed_lines(skolem_N7979, M38_44_8)
% 147.15/22.42 -> [4443] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_44_8))
% 147.15/22.42
% 147.15/22.42 [4443] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_44_8))
% 147.15/22.42
% 147.15/22.42 [4442] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_44_8)
% 147.15/22.42
% 147.15/22.42 [4382] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [4383] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [4384] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [4383] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [4384] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [4610] ((unequally_directed_lines(skolem_N7979, M38_51_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_51_8))) => (left_convergent_lines(skolem_N7979, M38_51_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_51_8))))
% 147.15/22.42
% 147.15/22.42 [4610] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_51_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_51_8))) => (left_convergent_lines(skolem_N7979, M38_51_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_51_8))))
% 147.15/22.42 -> [4611] ~(unequally_directed_lines(skolem_N7979, M38_51_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_51_8)))
% 147.15/22.42 -> [4612] (left_convergent_lines(skolem_N7979, M38_51_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_51_8)))
% 147.15/22.42
% 147.15/22.42 [4612] BETA_OR : (left_convergent_lines(skolem_N7979, M38_51_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_51_8)))
% 147.15/22.42 -> [4619] left_convergent_lines(skolem_N7979, M38_51_8)
% 147.15/22.42 -> [4620] left_convergent_lines(skolem_N7979, reverse_line(M38_51_8))
% 147.15/22.42
% 147.15/22.42 [4619] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [4656] ~(left_apart_point(A39_100_9, L40_100_9) | left_apart_point(A39_100_9, reverse_line(L40_100_9)))
% 147.15/22.42
% 147.15/22.42 [4656] ALPHA_NOT_OR : ~(left_apart_point(A39_100_9, L40_100_9) | left_apart_point(A39_100_9, reverse_line(L40_100_9)))
% 147.15/22.42 -> [4657] ~left_apart_point(A39_100_9, L40_100_9), ~left_apart_point(A39_100_9, reverse_line(L40_100_9))
% 147.15/22.42
% 147.15/22.42 [4657] CLOSURE : ~left_apart_point(A39_100_9, L40_100_9)
% 147.15/22.42
% 147.15/22.42 [4620] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [4646] ~(left_apart_point(A39_99_9, L40_99_9) | left_apart_point(A39_99_9, reverse_line(L40_99_9)))
% 147.15/22.42
% 147.15/22.42 [4646] ALPHA_NOT_OR : ~(left_apart_point(A39_99_9, L40_99_9) | left_apart_point(A39_99_9, reverse_line(L40_99_9)))
% 147.15/22.42 -> [4647] ~left_apart_point(A39_99_9, L40_99_9), ~left_apart_point(A39_99_9, reverse_line(L40_99_9))
% 147.15/22.42
% 147.15/22.42 [4647] CLOSURE : ~left_apart_point(A39_99_9, L40_99_9)
% 147.15/22.42
% 147.15/22.42 [4611] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_51_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_51_8)))
% 147.15/22.42 -> [4629] ~unequally_directed_lines(skolem_N7979, M38_51_8)
% 147.15/22.42 -> [4630] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_51_8))
% 147.15/22.42
% 147.15/22.42 [4630] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_51_8))
% 147.15/22.42
% 147.15/22.42 [4629] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_51_8)
% 147.15/22.42
% 147.15/22.42 [1049] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [1409] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.42
% 147.15/22.42 [1409] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [1442] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.42
% 147.15/22.42 [1442] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.42 -> [1445] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.42 -> [1446] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.42
% 147.15/22.42 [1445] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.42
% 147.15/22.42 [1446] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.42 -> [2184] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.42 -> [2185] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.42
% 147.15/22.42 [2185] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.42
% 147.15/22.42 [2184] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [3197] ~distinct_lines(N27_104_3, N27_104_3)
% 147.15/22.42
% 147.15/22.42 [3197] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [3250] (distinct_lines(N27_104_3, N27_104_3) => (distinct_lines(N27_104_3, N27_104_3) | distinct_lines(N27_104_3, N27_104_3)))
% 147.15/22.42
% 147.15/22.42 [3250] BETA_IMPLY : (distinct_lines(N27_104_3, N27_104_3) => (distinct_lines(N27_104_3, N27_104_3) | distinct_lines(N27_104_3, N27_104_3)))
% 147.15/22.42 -> [3251] ~distinct_lines(N27_104_3, N27_104_3)
% 147.15/22.42 -> [3252] (distinct_lines(N27_104_3, N27_104_3) | distinct_lines(N27_104_3, N27_104_3))
% 147.15/22.42
% 147.15/22.42 [3252] BETA_OR : (distinct_lines(N27_104_3, N27_104_3) | distinct_lines(N27_104_3, N27_104_3))
% 147.15/22.42 -> [3256] distinct_lines(N27_104_3, N27_104_3)
% 147.15/22.42 -> [3257] distinct_lines(N27_104_3, N27_104_3)
% 147.15/22.42
% 147.15/22.42 [3257] CLOSURE : distinct_lines(N27_104_3, N27_104_3)
% 147.15/22.42
% 147.15/22.42 [3256] CLOSURE : distinct_lines(N27_104_3, N27_104_3)
% 147.15/22.42
% 147.15/22.42 [3251] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [3363] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3363] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [3417] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [3417] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42 -> [3420] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [3421] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [3420] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3421] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42 -> [8303] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [8304] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [8304] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [8303] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [10612] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_121_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_121_6))) | (unequally_directed_lines(skolem_N7979, N34_121_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_121_6)))))
% 147.15/22.42
% 147.15/22.42 [10612] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_121_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_121_6))) | (unequally_directed_lines(skolem_N7979, N34_121_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_121_6)))))
% 147.15/22.42 -> [10616] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [10617] ((unequally_directed_lines(skolem_M7878, N34_121_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_121_6))) | (unequally_directed_lines(skolem_N7979, N34_121_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_121_6))))
% 147.15/22.42
% 147.15/22.42 [10616] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [10638] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [10639] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [10639] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [10638] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [10617] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_121_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_121_6))) | (unequally_directed_lines(skolem_N7979, N34_121_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_121_6))))
% 147.15/22.42 -> [12417] (unequally_directed_lines(skolem_M7878, N34_121_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_121_6)))
% 147.15/22.42 -> [12418] (unequally_directed_lines(skolem_N7979, N34_121_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_121_6)))
% 147.15/22.42
% 147.15/22.42 [12418] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_121_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_121_6)))
% 147.15/22.42 -> [12421] unequally_directed_lines(skolem_N7979, N34_121_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_121_6))
% 147.15/22.42
% 147.15/22.42 [12421] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [12579] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [12579] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42 -> [12584] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.42 -> [12585] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [12585] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42 -> [12588] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.42 -> [12589] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [12589] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [12588] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [12593] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [12593] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42 -> [12594] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [12595] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [12594] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [12602] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [12603] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [12602] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [12603] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [12595] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [12598] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [12599] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [12598] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [12610] ~(left_apart_point(A39_1047_9, L40_1047_9) | left_apart_point(A39_1047_9, reverse_line(L40_1047_9)))
% 147.15/22.42
% 147.15/22.42 [12610] ALPHA_NOT_OR : ~(left_apart_point(A39_1047_9, L40_1047_9) | left_apart_point(A39_1047_9, reverse_line(L40_1047_9)))
% 147.15/22.42 -> [12613] ~left_apart_point(A39_1047_9, L40_1047_9), ~left_apart_point(A39_1047_9, reverse_line(L40_1047_9))
% 147.15/22.42
% 147.15/22.42 [12613] CLOSURE : ~left_apart_point(A39_1047_9, L40_1047_9)
% 147.15/22.42
% 147.15/22.42 [12599] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [12608] ~(left_apart_point(A39_1046_9, L40_1046_9) | left_apart_point(A39_1046_9, reverse_line(L40_1046_9)))
% 147.15/22.42
% 147.15/22.42 [12608] ALPHA_NOT_OR : ~(left_apart_point(A39_1046_9, L40_1046_9) | left_apart_point(A39_1046_9, reverse_line(L40_1046_9)))
% 147.15/22.42 -> [12609] ~left_apart_point(A39_1046_9, L40_1046_9), ~left_apart_point(A39_1046_9, reverse_line(L40_1046_9))
% 147.15/22.42
% 147.15/22.42 [12609] CLOSURE : ~left_apart_point(A39_1046_9, L40_1046_9)
% 147.15/22.42
% 147.15/22.42 [12584] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.42 -> [12600] ~line(reverse_line(skolem_N7979))
% 147.15/22.42 -> [12601] ~line(skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [12600] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [12619] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [12619] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42 -> [12621] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [12622] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [12621] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [12639] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [12640] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [12640] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [12639] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [12622] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [12628] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [12629] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [12628] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [12680] ~(left_apart_point(A39_1051_9, L40_1051_9) | left_apart_point(A39_1051_9, reverse_line(L40_1051_9)))
% 147.15/22.42
% 147.15/22.42 [12680] ALPHA_NOT_OR : ~(left_apart_point(A39_1051_9, L40_1051_9) | left_apart_point(A39_1051_9, reverse_line(L40_1051_9)))
% 147.15/22.42 -> [12681] ~left_apart_point(A39_1051_9, L40_1051_9), ~left_apart_point(A39_1051_9, reverse_line(L40_1051_9))
% 147.15/22.42
% 147.15/22.42 [12681] CLOSURE : ~left_apart_point(A39_1051_9, L40_1051_9)
% 147.15/22.42
% 147.15/22.42 [12629] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [12682] ~(left_apart_point(A39_1052_9, L40_1052_9) | left_apart_point(A39_1052_9, reverse_line(L40_1052_9)))
% 147.15/22.42
% 147.15/22.42 [12682] ALPHA_NOT_OR : ~(left_apart_point(A39_1052_9, L40_1052_9) | left_apart_point(A39_1052_9, reverse_line(L40_1052_9)))
% 147.15/22.42 -> [12687] ~left_apart_point(A39_1052_9, L40_1052_9), ~left_apart_point(A39_1052_9, reverse_line(L40_1052_9))
% 147.15/22.42
% 147.15/22.42 [12687] CLOSURE : ~left_apart_point(A39_1052_9, L40_1052_9)
% 147.15/22.42
% 147.15/22.42 [12601] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [12717] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [12717] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42 -> [12720] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [12721] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [12721] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [12726] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [12727] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [12727] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [12744] ~(left_apart_point(A39_1064_9, L40_1064_9) | left_apart_point(A39_1064_9, reverse_line(L40_1064_9)))
% 147.15/22.42
% 147.15/22.42 [12744] ALPHA_NOT_OR : ~(left_apart_point(A39_1064_9, L40_1064_9) | left_apart_point(A39_1064_9, reverse_line(L40_1064_9)))
% 147.15/22.42 -> [12748] ~left_apart_point(A39_1064_9, L40_1064_9), ~left_apart_point(A39_1064_9, reverse_line(L40_1064_9))
% 147.15/22.42
% 147.15/22.42 [12748] CLOSURE : ~left_apart_point(A39_1064_9, L40_1064_9)
% 147.15/22.42
% 147.15/22.42 [12726] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [12745] ~(left_apart_point(A39_1065_9, L40_1065_9) | left_apart_point(A39_1065_9, reverse_line(L40_1065_9)))
% 147.15/22.42
% 147.15/22.42 [12745] ALPHA_NOT_OR : ~(left_apart_point(A39_1065_9, L40_1065_9) | left_apart_point(A39_1065_9, reverse_line(L40_1065_9)))
% 147.15/22.42 -> [12749] ~left_apart_point(A39_1065_9, L40_1065_9), ~left_apart_point(A39_1065_9, reverse_line(L40_1065_9))
% 147.15/22.42
% 147.15/22.42 [12749] CLOSURE : ~left_apart_point(A39_1065_9, L40_1065_9)
% 147.15/22.42
% 147.15/22.42 [12720] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [12733] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [12734] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [12734] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [12733] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [12417] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_121_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_121_6)))
% 147.15/22.42 -> [12428] unequally_directed_lines(skolem_M7878, N34_121_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_121_6))
% 147.15/22.42
% 147.15/22.42 [12428] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [12655] ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.42
% 147.15/22.42 [12655] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.42 -> [12659] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.42 -> [12660] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [12659] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.42 -> [12670] ~line(reverse_line(skolem_N7979))
% 147.15/22.42 -> [12671] ~line(reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [12670] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [12822] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [12822] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [12825] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [12826] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [12825] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [12831] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [12832] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [12832] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [12831] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [12826] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [12829] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [12830] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [12830] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [12847] ~(left_apart_point(A39_1085_9, L40_1085_9) | left_apart_point(A39_1085_9, reverse_line(L40_1085_9)))
% 147.15/22.42
% 147.15/22.42 [12847] ALPHA_NOT_OR : ~(left_apart_point(A39_1085_9, L40_1085_9) | left_apart_point(A39_1085_9, reverse_line(L40_1085_9)))
% 147.15/22.42 -> [12849] ~left_apart_point(A39_1085_9, L40_1085_9), ~left_apart_point(A39_1085_9, reverse_line(L40_1085_9))
% 147.15/22.42
% 147.15/22.42 [12849] CLOSURE : ~left_apart_point(A39_1085_9, L40_1085_9)
% 147.15/22.42
% 147.15/22.42 [12829] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [12851] ~(left_apart_point(A39_1086_9, L40_1086_9) | left_apart_point(A39_1086_9, reverse_line(L40_1086_9)))
% 147.15/22.42
% 147.15/22.42 [12851] ALPHA_NOT_OR : ~(left_apart_point(A39_1086_9, L40_1086_9) | left_apart_point(A39_1086_9, reverse_line(L40_1086_9)))
% 147.15/22.42 -> [12855] ~left_apart_point(A39_1086_9, L40_1086_9), ~left_apart_point(A39_1086_9, reverse_line(L40_1086_9))
% 147.15/22.42
% 147.15/22.42 [12855] CLOSURE : ~left_apart_point(A39_1086_9, L40_1086_9)
% 147.15/22.42
% 147.15/22.42 [12671] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [12835] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [12835] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [12836] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [12837] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [12836] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [12842] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [12843] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [12842] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [12843] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [12837] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [12840] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [12841] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [12840] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [12854] ~(left_apart_point(A39_1087_9, L40_1087_9) | left_apart_point(A39_1087_9, reverse_line(L40_1087_9)))
% 147.15/22.42
% 147.15/22.42 [12854] ALPHA_NOT_OR : ~(left_apart_point(A39_1087_9, L40_1087_9) | left_apart_point(A39_1087_9, reverse_line(L40_1087_9)))
% 147.15/22.42 -> [12856] ~left_apart_point(A39_1087_9, L40_1087_9), ~left_apart_point(A39_1087_9, reverse_line(L40_1087_9))
% 147.15/22.42
% 147.15/22.42 [12856] CLOSURE : ~left_apart_point(A39_1087_9, L40_1087_9)
% 147.15/22.42
% 147.15/22.42 [12841] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [12859] ~(left_apart_point(A39_1088_9, L40_1088_9) | left_apart_point(A39_1088_9, reverse_line(L40_1088_9)))
% 147.15/22.42
% 147.15/22.42 [12859] ALPHA_NOT_OR : ~(left_apart_point(A39_1088_9, L40_1088_9) | left_apart_point(A39_1088_9, reverse_line(L40_1088_9)))
% 147.15/22.42 -> [12860] ~left_apart_point(A39_1088_9, L40_1088_9), ~left_apart_point(A39_1088_9, reverse_line(L40_1088_9))
% 147.15/22.42
% 147.15/22.42 [12860] CLOSURE : ~left_apart_point(A39_1088_9, L40_1088_9)
% 147.15/22.42
% 147.15/22.42 [12660] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.42 -> [12663] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42 -> [12664] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [12663] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [12664] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [12874] ((unequally_directed_lines(skolem_M7878, M38_547_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_547_8))) => (left_convergent_lines(skolem_M7878, M38_547_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_547_8))))
% 147.15/22.42
% 147.15/22.42 [12874] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_547_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_547_8))) => (left_convergent_lines(skolem_M7878, M38_547_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_547_8))))
% 147.15/22.42 -> [12875] ~(unequally_directed_lines(skolem_M7878, M38_547_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_547_8)))
% 147.15/22.42 -> [12876] (left_convergent_lines(skolem_M7878, M38_547_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_547_8)))
% 147.15/22.42
% 147.15/22.42 [12875] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_547_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_547_8)))
% 147.15/22.42 -> [12885] ~unequally_directed_lines(skolem_M7878, M38_547_8)
% 147.15/22.42 -> [12886] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_547_8))
% 147.15/22.42
% 147.15/22.42 [12886] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_547_8))
% 147.15/22.42
% 147.15/22.42 [12885] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_547_8)
% 147.15/22.42
% 147.15/22.42 [12876] BETA_OR : (left_convergent_lines(skolem_M7878, M38_547_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_547_8)))
% 147.15/22.42 -> [12883] left_convergent_lines(skolem_M7878, M38_547_8)
% 147.15/22.42 -> [12884] left_convergent_lines(skolem_M7878, reverse_line(M38_547_8))
% 147.15/22.42
% 147.15/22.42 [12884] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [12892] ~(left_apart_point(A39_1094_9, L40_1094_9) | left_apart_point(A39_1094_9, reverse_line(L40_1094_9)))
% 147.15/22.42
% 147.15/22.42 [12892] ALPHA_NOT_OR : ~(left_apart_point(A39_1094_9, L40_1094_9) | left_apart_point(A39_1094_9, reverse_line(L40_1094_9)))
% 147.15/22.42 -> [12895] ~left_apart_point(A39_1094_9, L40_1094_9), ~left_apart_point(A39_1094_9, reverse_line(L40_1094_9))
% 147.15/22.42
% 147.15/22.42 [12895] CLOSURE : ~left_apart_point(A39_1094_9, L40_1094_9)
% 147.15/22.42
% 147.15/22.42 [12883] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [12898] ~(left_apart_point(A39_1095_9, L40_1095_9) | left_apart_point(A39_1095_9, reverse_line(L40_1095_9)))
% 147.15/22.42
% 147.15/22.42 [12898] ALPHA_NOT_OR : ~(left_apart_point(A39_1095_9, L40_1095_9) | left_apart_point(A39_1095_9, reverse_line(L40_1095_9)))
% 147.15/22.42 -> [12901] ~left_apart_point(A39_1095_9, L40_1095_9), ~left_apart_point(A39_1095_9, reverse_line(L40_1095_9))
% 147.15/22.42
% 147.15/22.42 [12901] CLOSURE : ~left_apart_point(A39_1095_9, L40_1095_9)
% 147.15/22.42
% 147.15/22.42 [23] Rewrite : ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.42 -> [25] ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.42
% 147.15/22.42 [25] BETA_NOT_AND : ~(before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & before_on_line(skolem_M7878, skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42 -> [27] ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.15/22.42 -> [28] ~before_on_line(skolem_M7878, skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.42
% 147.15/22.42 [28] Rewrite : ~before_on_line(skolem_M7878, skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.42 -> [32] ~(((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.42
% 147.15/22.42 [32] BETA_OR : ((before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)) | (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)))
% 147.15/22.42 -> [37] (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 147.15/22.42 -> [38] (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 147.15/22.42
% 147.15/22.42 [38] ALPHA_AND : (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 147.15/22.42 -> [46] before_on_line(skolem_L7777, skolem_C8282, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [46] Rewrite : before_on_line(skolem_L7777, skolem_C8282, skolem_B8181)
% 147.15/22.42 -> [52] (((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42
% 147.15/22.42 [52] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [60] (((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.42
% 147.15/22.42 [60] ALPHA_AND : (((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42 -> [66] ((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [66] ALPHA_AND : (((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.42 -> [75] ((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.42
% 147.15/22.42 [75] ALPHA_AND : ((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.15/22.42 -> [81] (distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.42
% 147.15/22.42 [81] ALPHA_AND : ((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777))))
% 147.15/22.42 -> [84] (distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.15/22.42
% 147.15/22.42 [84] ALPHA_AND : (distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777))))
% 147.15/22.42 -> [91] distinct_points(skolem_C8282, skolem_B8181), ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.15/22.42
% 147.15/22.42 [91] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.42 -> [107] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.15/22.42
% 147.15/22.42 [107] ALPHA_AND : (distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.15/22.42 -> [115] distinct_points(skolem_B8181, skolem_A8080), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.42
% 147.15/22.42 [115] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.15/22.42 -> [123] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 147.15/22.42
% 147.15/22.42 [123] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.15/22.42 -> [132] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 147.15/22.42
% 147.15/22.42 [132] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.42 -> [142] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.15/22.42
% 147.15/22.42 [142] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.42 -> [151] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [152] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [152] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.42 -> [164] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [164] BETA_NOT_AND : ~(((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.42 -> [409] ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.42 -> [410] ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42
% 147.15/22.42 [410] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42 -> [414] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42
% 147.15/22.42 [414] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [778] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [778] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [1000] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.42
% 147.15/22.42 [1000] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.42 -> [1001] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [1002] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [1001] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1002] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.42 -> [1888] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42 -> [1889] distinct_points(skolem_A8080, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [1888] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [1889] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [1944] ~distinct_lines(N27_31_3, N27_31_3)
% 147.15/22.42
% 147.15/22.42 [1944] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [1946] (distinct_lines(N27_31_3, N27_31_3) => (distinct_lines(N27_31_3, N27_31_3) | distinct_lines(N27_31_3, N27_31_3)))
% 147.15/22.42
% 147.15/22.42 [1946] BETA_IMPLY : (distinct_lines(N27_31_3, N27_31_3) => (distinct_lines(N27_31_3, N27_31_3) | distinct_lines(N27_31_3, N27_31_3)))
% 147.15/22.42 -> [1948] ~distinct_lines(N27_31_3, N27_31_3)
% 147.15/22.42 -> [1949] (distinct_lines(N27_31_3, N27_31_3) | distinct_lines(N27_31_3, N27_31_3))
% 147.15/22.42
% 147.15/22.42 [1949] BETA_OR : (distinct_lines(N27_31_3, N27_31_3) | distinct_lines(N27_31_3, N27_31_3))
% 147.15/22.42 -> [1950] distinct_lines(N27_31_3, N27_31_3)
% 147.15/22.42 -> [1951] distinct_lines(N27_31_3, N27_31_3)
% 147.15/22.42
% 147.15/22.42 [1951] CLOSURE : distinct_lines(N27_31_3, N27_31_3)
% 147.15/22.42
% 147.15/22.42 [1950] CLOSURE : distinct_lines(N27_31_3, N27_31_3)
% 147.15/22.42
% 147.15/22.42 [1948] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [2245] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [2245] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [2298] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [2298] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 147.15/22.42 -> [2304] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [2305] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [2304] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [2305] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 147.15/22.42 -> [3632] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [3633] unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [3632] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [3633] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [4539] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42
% 147.15/22.42 [4539] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42 -> [4541] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [4542] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [4541] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [4577] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [4578] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4578] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4577] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [4542] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [7580] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7581] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [7580] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7608] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [7608] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [7581] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7583] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [7583] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [7962] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [7962] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [7966] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [7967] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [7967] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7970] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [7971] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [7970] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [7971] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [8235] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [8235] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42 -> [8239] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [8240] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [8239] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [8300] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [8301] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [8301] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [8300] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [8240] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [8245] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [8246] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [8246] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [8580] ~(left_apart_point(A39_521_9, L40_521_9) | left_apart_point(A39_521_9, reverse_line(L40_521_9)))
% 147.15/22.42
% 147.15/22.42 [8580] ALPHA_NOT_OR : ~(left_apart_point(A39_521_9, L40_521_9) | left_apart_point(A39_521_9, reverse_line(L40_521_9)))
% 147.15/22.42 -> [8581] ~left_apart_point(A39_521_9, L40_521_9), ~left_apart_point(A39_521_9, reverse_line(L40_521_9))
% 147.15/22.42
% 147.15/22.42 [8581] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [8762] ~(left_convergent_lines(L41_157_10, M42_157_10) | left_convergent_lines(L41_157_10, reverse_line(M42_157_10)))
% 147.15/22.42
% 147.15/22.42 [8762] ALPHA_NOT_OR : ~(left_convergent_lines(L41_157_10, M42_157_10) | left_convergent_lines(L41_157_10, reverse_line(M42_157_10)))
% 147.15/22.42 -> [8763] ~left_convergent_lines(L41_157_10, M42_157_10), ~left_convergent_lines(L41_157_10, reverse_line(M42_157_10))
% 147.15/22.42
% 147.15/22.42 [8763] CLOSURE : ~left_convergent_lines(L41_157_10, M42_157_10)
% 147.15/22.42
% 147.15/22.42 [8245] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [8617] ~(left_apart_point(A39_527_9, L40_527_9) | left_apart_point(A39_527_9, reverse_line(L40_527_9)))
% 147.15/22.42
% 147.15/22.42 [8617] ALPHA_NOT_OR : ~(left_apart_point(A39_527_9, L40_527_9) | left_apart_point(A39_527_9, reverse_line(L40_527_9)))
% 147.15/22.42 -> [8618] ~left_apart_point(A39_527_9, L40_527_9), ~left_apart_point(A39_527_9, reverse_line(L40_527_9))
% 147.15/22.42
% 147.15/22.42 [8618] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [8779] ~(left_convergent_lines(L41_159_10, M42_159_10) | left_convergent_lines(L41_159_10, reverse_line(M42_159_10)))
% 147.15/22.42
% 147.15/22.42 [8779] ALPHA_NOT_OR : ~(left_convergent_lines(L41_159_10, M42_159_10) | left_convergent_lines(L41_159_10, reverse_line(M42_159_10)))
% 147.15/22.42 -> [8780] ~left_convergent_lines(L41_159_10, M42_159_10), ~left_convergent_lines(L41_159_10, reverse_line(M42_159_10))
% 147.15/22.42
% 147.15/22.42 [8780] CLOSURE : ~left_convergent_lines(L41_159_10, M42_159_10)
% 147.15/22.42
% 147.15/22.42 [7966] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [8029] ~line(skolem_M7878)
% 147.15/22.42 -> [8030] ~line(skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [8029] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [8287] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [8287] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42 -> [8289] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [8290] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [8289] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [8326] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [8327] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [8327] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [8326] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [8290] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [8291] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [8292] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [8291] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [8591] ~(left_apart_point(A39_522_9, L40_522_9) | left_apart_point(A39_522_9, reverse_line(L40_522_9)))
% 147.15/22.42
% 147.15/22.42 [8591] ALPHA_NOT_OR : ~(left_apart_point(A39_522_9, L40_522_9) | left_apart_point(A39_522_9, reverse_line(L40_522_9)))
% 147.15/22.42 -> [8592] ~left_apart_point(A39_522_9, L40_522_9), ~left_apart_point(A39_522_9, reverse_line(L40_522_9))
% 147.15/22.42
% 147.15/22.42 [8592] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [8735] ~(left_convergent_lines(L41_154_10, M42_154_10) | left_convergent_lines(L41_154_10, reverse_line(M42_154_10)))
% 147.15/22.42
% 147.15/22.42 [8735] ALPHA_NOT_OR : ~(left_convergent_lines(L41_154_10, M42_154_10) | left_convergent_lines(L41_154_10, reverse_line(M42_154_10)))
% 147.15/22.42 -> [8736] ~left_convergent_lines(L41_154_10, M42_154_10), ~left_convergent_lines(L41_154_10, reverse_line(M42_154_10))
% 147.15/22.42
% 147.15/22.42 [8736] CLOSURE : ~left_convergent_lines(L41_154_10, M42_154_10)
% 147.15/22.42
% 147.15/22.42 [8292] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [8519] ~(left_apart_point(A39_511_9, L40_511_9) | left_apart_point(A39_511_9, reverse_line(L40_511_9)))
% 147.15/22.42
% 147.15/22.42 [8519] ALPHA_NOT_OR : ~(left_apart_point(A39_511_9, L40_511_9) | left_apart_point(A39_511_9, reverse_line(L40_511_9)))
% 147.15/22.42 -> [8523] ~left_apart_point(A39_511_9, L40_511_9), ~left_apart_point(A39_511_9, reverse_line(L40_511_9))
% 147.15/22.42
% 147.15/22.42 [8523] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [8744] ~(left_convergent_lines(L41_156_10, M42_156_10) | left_convergent_lines(L41_156_10, reverse_line(M42_156_10)))
% 147.15/22.42
% 147.15/22.42 [8744] ALPHA_NOT_OR : ~(left_convergent_lines(L41_156_10, M42_156_10) | left_convergent_lines(L41_156_10, reverse_line(M42_156_10)))
% 147.15/22.42 -> [8745] ~left_convergent_lines(L41_156_10, M42_156_10), ~left_convergent_lines(L41_156_10, reverse_line(M42_156_10))
% 147.15/22.42
% 147.15/22.42 [8745] CLOSURE : ~left_convergent_lines(L41_156_10, M42_156_10)
% 147.15/22.42
% 147.15/22.42 [8030] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [8220] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [8220] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42 -> [8222] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [8223] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [8222] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [8297] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [8298] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [8297] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [8298] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [8223] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [8227] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [8228] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [8228] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [8615] ~(left_apart_point(A39_526_9, L40_526_9) | left_apart_point(A39_526_9, reverse_line(L40_526_9)))
% 147.15/22.42
% 147.15/22.42 [8615] ALPHA_NOT_OR : ~(left_apart_point(A39_526_9, L40_526_9) | left_apart_point(A39_526_9, reverse_line(L40_526_9)))
% 147.15/22.42 -> [8616] ~left_apart_point(A39_526_9, L40_526_9), ~left_apart_point(A39_526_9, reverse_line(L40_526_9))
% 147.15/22.42
% 147.15/22.42 [8616] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [8647] ~(left_convergent_lines(L41_145_10, M42_145_10) | left_convergent_lines(L41_145_10, reverse_line(M42_145_10)))
% 147.15/22.42
% 147.15/22.42 [8647] ALPHA_NOT_OR : ~(left_convergent_lines(L41_145_10, M42_145_10) | left_convergent_lines(L41_145_10, reverse_line(M42_145_10)))
% 147.15/22.42 -> [8648] ~left_convergent_lines(L41_145_10, M42_145_10), ~left_convergent_lines(L41_145_10, reverse_line(M42_145_10))
% 147.15/22.42
% 147.15/22.42 [8648] CLOSURE : ~left_convergent_lines(L41_145_10, M42_145_10)
% 147.15/22.42
% 147.15/22.42 [8227] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [8693] ~(left_apart_point(A39_531_9, L40_531_9) | left_apart_point(A39_531_9, reverse_line(L40_531_9)))
% 147.15/22.42
% 147.15/22.42 [8693] ALPHA_NOT_OR : ~(left_apart_point(A39_531_9, L40_531_9) | left_apart_point(A39_531_9, reverse_line(L40_531_9)))
% 147.15/22.42 -> [8696] ~left_apart_point(A39_531_9, L40_531_9), ~left_apart_point(A39_531_9, reverse_line(L40_531_9))
% 147.15/22.42
% 147.15/22.42 [8696] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [8802] ~(left_convergent_lines(L41_161_10, M42_161_10) | left_convergent_lines(L41_161_10, reverse_line(M42_161_10)))
% 147.15/22.42
% 147.15/22.42 [8802] ALPHA_NOT_OR : ~(left_convergent_lines(L41_161_10, M42_161_10) | left_convergent_lines(L41_161_10, reverse_line(M42_161_10)))
% 147.15/22.42 -> [8805] ~left_convergent_lines(L41_161_10, M42_161_10), ~left_convergent_lines(L41_161_10, reverse_line(M42_161_10))
% 147.15/22.42
% 147.15/22.42 [8805] CLOSURE : ~left_convergent_lines(L41_161_10, M42_161_10)
% 147.15/22.42
% 147.15/22.42 [409] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.42 -> [475] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [476] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [476] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42 -> [481] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [481] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42 -> [484] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.42 -> [485] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [485] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [1158] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [1158] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [1194] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.42
% 147.15/22.42 [1194] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.42 -> [1195] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [1196] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [1195] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1196] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.42 -> [2073] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42 -> [2074] distinct_points(skolem_A8080, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [2073] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [2074] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [3616] ~distinct_lines(N27_118_3, N27_118_3)
% 147.15/22.42
% 147.15/22.42 [3616] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [3704] (distinct_lines(N27_118_3, N27_118_3) => (distinct_lines(N27_118_3, N27_118_3) | distinct_lines(N27_118_3, N27_118_3)))
% 147.15/22.42
% 147.15/22.42 [3704] BETA_IMPLY : (distinct_lines(N27_118_3, N27_118_3) => (distinct_lines(N27_118_3, N27_118_3) | distinct_lines(N27_118_3, N27_118_3)))
% 147.15/22.42 -> [3706] ~distinct_lines(N27_118_3, N27_118_3)
% 147.15/22.42 -> [3707] (distinct_lines(N27_118_3, N27_118_3) | distinct_lines(N27_118_3, N27_118_3))
% 147.15/22.42
% 147.15/22.42 [3707] BETA_OR : (distinct_lines(N27_118_3, N27_118_3) | distinct_lines(N27_118_3, N27_118_3))
% 147.15/22.42 -> [3708] distinct_lines(N27_118_3, N27_118_3)
% 147.15/22.42 -> [3709] distinct_lines(N27_118_3, N27_118_3)
% 147.15/22.42
% 147.15/22.42 [3709] CLOSURE : distinct_lines(N27_118_3, N27_118_3)
% 147.15/22.42
% 147.15/22.42 [3708] CLOSURE : distinct_lines(N27_118_3, N27_118_3)
% 147.15/22.42
% 147.15/22.42 [3706] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [3841] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [3841] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [4034] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [4034] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878)))
% 147.15/22.42 -> [4035] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.42 -> [4036] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [4035] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [4036] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878))
% 147.15/22.42 -> [5332] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [5333] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [5332] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [5333] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [7196] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42
% 147.15/22.42 [7196] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42 -> [7198] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [7199] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [7198] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [7251] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [7252] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [7252] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [7251] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [7199] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [9373] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [9374] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [9373] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [9377] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [9377] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [9374] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [9375] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [9375] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [9395] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [9395] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [9396] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [9397] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [9396] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [9404] ~line(skolem_M7878)
% 147.15/22.42 -> [9405] ~line(skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [9405] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [9427] ((unequally_directed_lines(skolem_N7979, M38_320_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_320_8))) => (left_convergent_lines(skolem_N7979, M38_320_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_320_8))))
% 147.15/22.42
% 147.15/22.42 [9427] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_320_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_320_8))) => (left_convergent_lines(skolem_N7979, M38_320_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_320_8))))
% 147.15/22.42 -> [9429] ~(unequally_directed_lines(skolem_N7979, M38_320_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_320_8)))
% 147.15/22.42 -> [9430] (left_convergent_lines(skolem_N7979, M38_320_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_320_8)))
% 147.15/22.42
% 147.15/22.42 [9429] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_320_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_320_8)))
% 147.15/22.42 -> [9480] ~unequally_directed_lines(skolem_N7979, M38_320_8)
% 147.15/22.42 -> [9481] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_320_8))
% 147.15/22.42
% 147.15/22.42 [9481] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_320_8))
% 147.15/22.42
% 147.15/22.42 [9480] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_320_8)
% 147.15/22.42
% 147.15/22.42 [9430] BETA_OR : (left_convergent_lines(skolem_N7979, M38_320_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_320_8)))
% 147.15/22.42 -> [9438] left_convergent_lines(skolem_N7979, M38_320_8)
% 147.15/22.42 -> [9439] left_convergent_lines(skolem_N7979, reverse_line(M38_320_8))
% 147.15/22.42
% 147.15/22.42 [9439] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [9534] ~(left_apart_point(A39_613_9, L40_613_9) | left_apart_point(A39_613_9, reverse_line(L40_613_9)))
% 147.15/22.42
% 147.15/22.42 [9534] ALPHA_NOT_OR : ~(left_apart_point(A39_613_9, L40_613_9) | left_apart_point(A39_613_9, reverse_line(L40_613_9)))
% 147.15/22.42 -> [9535] ~left_apart_point(A39_613_9, L40_613_9), ~left_apart_point(A39_613_9, reverse_line(L40_613_9))
% 147.15/22.42
% 147.15/22.42 [9535] CLOSURE : ~left_apart_point(A39_613_9, L40_613_9)
% 147.15/22.42
% 147.15/22.42 [9438] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [9553] ~(left_apart_point(A39_621_9, L40_621_9) | left_apart_point(A39_621_9, reverse_line(L40_621_9)))
% 147.15/22.42
% 147.15/22.42 [9553] ALPHA_NOT_OR : ~(left_apart_point(A39_621_9, L40_621_9) | left_apart_point(A39_621_9, reverse_line(L40_621_9)))
% 147.15/22.42 -> [9558] ~left_apart_point(A39_621_9, L40_621_9), ~left_apart_point(A39_621_9, reverse_line(L40_621_9))
% 147.15/22.42
% 147.15/22.42 [9558] CLOSURE : ~left_apart_point(A39_621_9, L40_621_9)
% 147.15/22.42
% 147.15/22.42 [9404] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [9458] ((unequally_directed_lines(skolem_N7979, M38_325_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_325_8))) => (left_convergent_lines(skolem_N7979, M38_325_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_325_8))))
% 147.15/22.42
% 147.15/22.42 [9458] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_325_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_325_8))) => (left_convergent_lines(skolem_N7979, M38_325_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_325_8))))
% 147.15/22.42 -> [9466] ~(unequally_directed_lines(skolem_N7979, M38_325_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_325_8)))
% 147.15/22.42 -> [9467] (left_convergent_lines(skolem_N7979, M38_325_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_325_8)))
% 147.15/22.42
% 147.15/22.42 [9467] BETA_OR : (left_convergent_lines(skolem_N7979, M38_325_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_325_8)))
% 147.15/22.42 -> [9473] left_convergent_lines(skolem_N7979, M38_325_8)
% 147.15/22.42 -> [9474] left_convergent_lines(skolem_N7979, reverse_line(M38_325_8))
% 147.15/22.42
% 147.15/22.42 [9474] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [9546] ~(left_apart_point(A39_619_9, L40_619_9) | left_apart_point(A39_619_9, reverse_line(L40_619_9)))
% 147.15/22.42
% 147.15/22.42 [9546] ALPHA_NOT_OR : ~(left_apart_point(A39_619_9, L40_619_9) | left_apart_point(A39_619_9, reverse_line(L40_619_9)))
% 147.15/22.42 -> [9549] ~left_apart_point(A39_619_9, L40_619_9), ~left_apart_point(A39_619_9, reverse_line(L40_619_9))
% 147.15/22.42
% 147.15/22.42 [9549] CLOSURE : ~left_apart_point(A39_619_9, L40_619_9)
% 147.15/22.42
% 147.15/22.42 [9473] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [9576] ~(left_apart_point(A39_628_9, L40_628_9) | left_apart_point(A39_628_9, reverse_line(L40_628_9)))
% 147.15/22.42
% 147.15/22.42 [9576] ALPHA_NOT_OR : ~(left_apart_point(A39_628_9, L40_628_9) | left_apart_point(A39_628_9, reverse_line(L40_628_9)))
% 147.15/22.42 -> [9577] ~left_apart_point(A39_628_9, L40_628_9), ~left_apart_point(A39_628_9, reverse_line(L40_628_9))
% 147.15/22.42
% 147.15/22.42 [9577] CLOSURE : ~left_apart_point(A39_628_9, L40_628_9)
% 147.15/22.42
% 147.15/22.42 [9466] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_325_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_325_8)))
% 147.15/22.42 -> [9511] ~unequally_directed_lines(skolem_N7979, M38_325_8)
% 147.15/22.42 -> [9512] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_325_8))
% 147.15/22.42
% 147.15/22.42 [9512] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_325_8))
% 147.15/22.42
% 147.15/22.42 [9511] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_325_8)
% 147.15/22.42
% 147.15/22.42 [9397] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [9400] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [9401] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [9400] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [9401] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [9445] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [9445] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [9449] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [9450] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [9450] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [9452] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [9453] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [9453] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [9539] ~(left_apart_point(A39_615_9, L40_615_9) | left_apart_point(A39_615_9, reverse_line(L40_615_9)))
% 147.15/22.42
% 147.15/22.42 [9539] ALPHA_NOT_OR : ~(left_apart_point(A39_615_9, L40_615_9) | left_apart_point(A39_615_9, reverse_line(L40_615_9)))
% 147.15/22.42 -> [9542] ~left_apart_point(A39_615_9, L40_615_9), ~left_apart_point(A39_615_9, reverse_line(L40_615_9))
% 147.15/22.42
% 147.15/22.42 [9542] CLOSURE : ~left_apart_point(A39_615_9, L40_615_9)
% 147.15/22.42
% 147.15/22.42 [9452] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [9561] ~(left_apart_point(A39_624_9, L40_624_9) | left_apart_point(A39_624_9, reverse_line(L40_624_9)))
% 147.15/22.42
% 147.15/22.42 [9561] ALPHA_NOT_OR : ~(left_apart_point(A39_624_9, L40_624_9) | left_apart_point(A39_624_9, reverse_line(L40_624_9)))
% 147.15/22.42 -> [9564] ~left_apart_point(A39_624_9, L40_624_9), ~left_apart_point(A39_624_9, reverse_line(L40_624_9))
% 147.15/22.42
% 147.15/22.42 [9564] CLOSURE : ~left_apart_point(A39_624_9, L40_624_9)
% 147.15/22.42
% 147.15/22.42 [9449] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [9494] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [9495] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [9495] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [9494] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [484] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [1182] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [1182] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [1221] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.42
% 147.15/22.42 [1221] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.42 -> [1222] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [1223] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [1222] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1223] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.42 -> [1906] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42 -> [1907] distinct_points(skolem_A8080, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [1906] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [1907] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [3362] ~distinct_lines(N27_109_3, N27_109_3)
% 147.15/22.42
% 147.15/22.42 [3362] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [3379] (distinct_lines(N27_109_3, N27_109_3) => (distinct_lines(N27_109_3, N27_109_3) | distinct_lines(N27_109_3, N27_109_3)))
% 147.15/22.42
% 147.15/22.42 [3379] BETA_IMPLY : (distinct_lines(N27_109_3, N27_109_3) => (distinct_lines(N27_109_3, N27_109_3) | distinct_lines(N27_109_3, N27_109_3)))
% 147.15/22.42 -> [3380] ~distinct_lines(N27_109_3, N27_109_3)
% 147.15/22.42 -> [3381] (distinct_lines(N27_109_3, N27_109_3) | distinct_lines(N27_109_3, N27_109_3))
% 147.15/22.42
% 147.15/22.42 [3381] BETA_OR : (distinct_lines(N27_109_3, N27_109_3) | distinct_lines(N27_109_3, N27_109_3))
% 147.15/22.42 -> [3385] distinct_lines(N27_109_3, N27_109_3)
% 147.15/22.42 -> [3386] distinct_lines(N27_109_3, N27_109_3)
% 147.15/22.42
% 147.15/22.42 [3386] CLOSURE : distinct_lines(N27_109_3, N27_109_3)
% 147.15/22.42
% 147.15/22.42 [3385] CLOSURE : distinct_lines(N27_109_3, N27_109_3)
% 147.15/22.42
% 147.15/22.42 [3380] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [3552] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [3552] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [4252] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [4252] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878)))
% 147.15/22.42 -> [4256] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.42 -> [4257] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [4256] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [4257] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878))
% 147.15/22.42 -> [5806] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [5807] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [5806] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [5807] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [7314] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42
% 147.15/22.42 [7314] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42 -> [7317] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [7318] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [7317] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [7344] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [7345] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [7345] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [7344] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [7318] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [11007] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [11008] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [11007] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [11059] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [11059] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [11008] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [11016] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [11016] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [11175] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [11175] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [11178] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [11179] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [11179] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [11182] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [11183] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [11182] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [11183] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [11472] ((unequally_directed_lines(skolem_N7979, M38_450_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_450_8))) => (left_convergent_lines(skolem_N7979, M38_450_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_450_8))))
% 147.15/22.42
% 147.15/22.42 [11472] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_450_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_450_8))) => (left_convergent_lines(skolem_N7979, M38_450_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_450_8))))
% 147.15/22.42 -> [11640] ~(unequally_directed_lines(skolem_N7979, M38_450_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_450_8)))
% 147.15/22.42 -> [11641] (left_convergent_lines(skolem_N7979, M38_450_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_450_8)))
% 147.15/22.42
% 147.15/22.42 [11640] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_450_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_450_8)))
% 147.15/22.42 -> [11649] ~unequally_directed_lines(skolem_N7979, M38_450_8)
% 147.15/22.42 -> [11650] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_450_8))
% 147.15/22.42
% 147.15/22.42 [11649] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_450_8)
% 147.15/22.42
% 147.15/22.42 [11650] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_450_8))
% 147.15/22.42
% 147.15/22.42 [11641] BETA_OR : (left_convergent_lines(skolem_N7979, M38_450_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_450_8)))
% 147.15/22.42 -> [11644] left_convergent_lines(skolem_N7979, M38_450_8)
% 147.15/22.42 -> [11645] left_convergent_lines(skolem_N7979, reverse_line(M38_450_8))
% 147.15/22.42
% 147.15/22.42 [11645] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [11750] ~(left_apart_point(A39_897_9, L40_897_9) | left_apart_point(A39_897_9, reverse_line(L40_897_9)))
% 147.15/22.42
% 147.15/22.42 [11750] ALPHA_NOT_OR : ~(left_apart_point(A39_897_9, L40_897_9) | left_apart_point(A39_897_9, reverse_line(L40_897_9)))
% 147.15/22.42 -> [11752] ~left_apart_point(A39_897_9, L40_897_9), ~left_apart_point(A39_897_9, reverse_line(L40_897_9))
% 147.15/22.42
% 147.15/22.42 [11752] CLOSURE : ~left_apart_point(A39_897_9, L40_897_9)
% 147.15/22.42
% 147.15/22.42 [11644] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [12143] ~(left_apart_point(A39_964_9, L40_964_9) | left_apart_point(A39_964_9, reverse_line(L40_964_9)))
% 147.15/22.42
% 147.15/22.42 [12143] ALPHA_NOT_OR : ~(left_apart_point(A39_964_9, L40_964_9) | left_apart_point(A39_964_9, reverse_line(L40_964_9)))
% 147.15/22.42 -> [12146] ~left_apart_point(A39_964_9, L40_964_9), ~left_apart_point(A39_964_9, reverse_line(L40_964_9))
% 147.15/22.42
% 147.15/22.42 [12146] CLOSURE : ~left_apart_point(A39_964_9, L40_964_9)
% 147.15/22.42
% 147.15/22.42 [11178] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [11198] ~line(skolem_M7878)
% 147.15/22.42 -> [11199] ~line(skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [11198] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [11379] ((unequally_directed_lines(skolem_N7979, M38_445_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_445_8))) => (left_convergent_lines(skolem_N7979, M38_445_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_445_8))))
% 147.15/22.42
% 147.15/22.42 [11379] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_445_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_445_8))) => (left_convergent_lines(skolem_N7979, M38_445_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_445_8))))
% 147.15/22.42 -> [11380] ~(unequally_directed_lines(skolem_N7979, M38_445_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_445_8)))
% 147.15/22.42 -> [11381] (left_convergent_lines(skolem_N7979, M38_445_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_445_8)))
% 147.15/22.42
% 147.15/22.42 [11381] BETA_OR : (left_convergent_lines(skolem_N7979, M38_445_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_445_8)))
% 147.15/22.42 -> [11382] left_convergent_lines(skolem_N7979, M38_445_8)
% 147.15/22.42 -> [11383] left_convergent_lines(skolem_N7979, reverse_line(M38_445_8))
% 147.15/22.42
% 147.15/22.42 [11383] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [11461] ~(left_apart_point(A39_874_9, L40_874_9) | left_apart_point(A39_874_9, reverse_line(L40_874_9)))
% 147.15/22.42
% 147.15/22.42 [11461] ALPHA_NOT_OR : ~(left_apart_point(A39_874_9, L40_874_9) | left_apart_point(A39_874_9, reverse_line(L40_874_9)))
% 147.15/22.42 -> [11462] ~left_apart_point(A39_874_9, L40_874_9), ~left_apart_point(A39_874_9, reverse_line(L40_874_9))
% 147.15/22.42
% 147.15/22.42 [11462] CLOSURE : ~left_apart_point(A39_874_9, L40_874_9)
% 147.15/22.42
% 147.15/22.42 [11382] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [11473] ~(left_apart_point(A39_878_9, L40_878_9) | left_apart_point(A39_878_9, reverse_line(L40_878_9)))
% 147.15/22.42
% 147.15/22.42 [11473] ALPHA_NOT_OR : ~(left_apart_point(A39_878_9, L40_878_9) | left_apart_point(A39_878_9, reverse_line(L40_878_9)))
% 147.15/22.42 -> [11478] ~left_apart_point(A39_878_9, L40_878_9), ~left_apart_point(A39_878_9, reverse_line(L40_878_9))
% 147.15/22.42
% 147.15/22.42 [11478] CLOSURE : ~left_apart_point(A39_878_9, L40_878_9)
% 147.15/22.42
% 147.15/22.42 [11380] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_445_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_445_8)))
% 147.15/22.42 -> [11404] ~unequally_directed_lines(skolem_N7979, M38_445_8)
% 147.15/22.42 -> [11405] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_445_8))
% 147.15/22.42
% 147.15/22.42 [11404] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_445_8)
% 147.15/22.42
% 147.15/22.42 [11405] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_445_8))
% 147.15/22.42
% 147.15/22.42 [11199] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [11321] ((unequally_directed_lines(skolem_N7979, M38_441_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_441_8))) => (left_convergent_lines(skolem_N7979, M38_441_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_441_8))))
% 147.15/22.42
% 147.15/22.42 [11321] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_441_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_441_8))) => (left_convergent_lines(skolem_N7979, M38_441_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_441_8))))
% 147.15/22.42 -> [11325] ~(unequally_directed_lines(skolem_N7979, M38_441_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_441_8)))
% 147.15/22.42 -> [11326] (left_convergent_lines(skolem_N7979, M38_441_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_441_8)))
% 147.15/22.42
% 147.15/22.42 [11325] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_441_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_441_8)))
% 147.15/22.42 -> [11388] ~unequally_directed_lines(skolem_N7979, M38_441_8)
% 147.15/22.42 -> [11389] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_441_8))
% 147.15/22.42
% 147.15/22.42 [11389] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_441_8))
% 147.15/22.42
% 147.15/22.42 [11388] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_441_8)
% 147.15/22.42
% 147.15/22.42 [11326] BETA_OR : (left_convergent_lines(skolem_N7979, M38_441_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_441_8)))
% 147.15/22.42 -> [11329] left_convergent_lines(skolem_N7979, M38_441_8)
% 147.15/22.42 -> [11330] left_convergent_lines(skolem_N7979, reverse_line(M38_441_8))
% 147.15/22.42
% 147.15/22.42 [11329] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [12103] ~(left_apart_point(A39_955_9, L40_955_9) | left_apart_point(A39_955_9, reverse_line(L40_955_9)))
% 147.15/22.42
% 147.15/22.42 [12103] ALPHA_NOT_OR : ~(left_apart_point(A39_955_9, L40_955_9) | left_apart_point(A39_955_9, reverse_line(L40_955_9)))
% 147.15/22.42 -> [12105] ~left_apart_point(A39_955_9, L40_955_9), ~left_apart_point(A39_955_9, reverse_line(L40_955_9))
% 147.15/22.42
% 147.15/22.42 [12105] CLOSURE : ~left_apart_point(A39_955_9, L40_955_9)
% 147.15/22.42
% 147.15/22.42 [11330] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [11958] ~(left_apart_point(A39_930_9, L40_930_9) | left_apart_point(A39_930_9, reverse_line(L40_930_9)))
% 147.15/22.42
% 147.15/22.42 [11958] ALPHA_NOT_OR : ~(left_apart_point(A39_930_9, L40_930_9) | left_apart_point(A39_930_9, reverse_line(L40_930_9)))
% 147.15/22.42 -> [11961] ~left_apart_point(A39_930_9, L40_930_9), ~left_apart_point(A39_930_9, reverse_line(L40_930_9))
% 147.15/22.42
% 147.15/22.42 [11961] CLOSURE : ~left_apart_point(A39_930_9, L40_930_9)
% 147.15/22.42
% 147.15/22.42 [475] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [840] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.42 -> [841] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [841] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [844] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [844] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [845] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.42 -> [846] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [845] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [846] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [840] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [891] ~distinct_points(A20_49_0, A20_49_0)
% 147.15/22.42
% 147.15/22.42 [891] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [920] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.42
% 147.15/22.42 [920] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.42 -> [921] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [922] (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42
% 147.15/22.42 [921] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [922] BETA_OR : (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42 -> [2080] distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.42 -> [2081] distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.42
% 147.15/22.42 [2080] CLOSURE : distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.42
% 147.15/22.42 [2081] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [2894] ~distinct_lines(N27_84_3, N27_84_3)
% 147.15/22.42
% 147.15/22.42 [2894] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [2901] (distinct_lines(N27_84_3, N27_84_3) => (distinct_lines(N27_84_3, N27_84_3) | distinct_lines(N27_84_3, N27_84_3)))
% 147.15/22.42
% 147.15/22.42 [2901] BETA_IMPLY : (distinct_lines(N27_84_3, N27_84_3) => (distinct_lines(N27_84_3, N27_84_3) | distinct_lines(N27_84_3, N27_84_3)))
% 147.15/22.42 -> [2902] ~distinct_lines(N27_84_3, N27_84_3)
% 147.15/22.42 -> [2903] (distinct_lines(N27_84_3, N27_84_3) | distinct_lines(N27_84_3, N27_84_3))
% 147.15/22.42
% 147.15/22.42 [2903] BETA_OR : (distinct_lines(N27_84_3, N27_84_3) | distinct_lines(N27_84_3, N27_84_3))
% 147.15/22.42 -> [2904] distinct_lines(N27_84_3, N27_84_3)
% 147.15/22.42 -> [2905] distinct_lines(N27_84_3, N27_84_3)
% 147.15/22.42
% 147.15/22.42 [2905] CLOSURE : distinct_lines(N27_84_3, N27_84_3)
% 147.15/22.42
% 147.15/22.42 [2904] CLOSURE : distinct_lines(N27_84_3, N27_84_3)
% 147.15/22.42
% 147.15/22.42 [2902] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [2910] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [2910] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [2931] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [2931] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878)))
% 147.15/22.42 -> [2932] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.42 -> [2933] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [2932] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [2933] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878))
% 147.15/22.42 -> [5250] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [5251] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [5250] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [5251] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [10270] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42
% 147.15/22.42 [10270] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42 -> [10273] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [10274] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [10273] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [10290] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [10291] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [10291] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [10290] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [10274] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [10715] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [10716] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [10715] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [10721] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [10721] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [10716] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [10717] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [10717] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [10731] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [10731] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [10734] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [10735] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [10735] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [10738] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [10739] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [10738] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [10739] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [10789] ((unequally_directed_lines(skolem_N7979, M38_407_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_407_8))) => (left_convergent_lines(skolem_N7979, M38_407_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_407_8))))
% 147.15/22.42
% 147.15/22.42 [10789] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_407_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_407_8))) => (left_convergent_lines(skolem_N7979, M38_407_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_407_8))))
% 147.15/22.42 -> [10792] ~(unequally_directed_lines(skolem_N7979, M38_407_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_407_8)))
% 147.15/22.42 -> [10793] (left_convergent_lines(skolem_N7979, M38_407_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_407_8)))
% 147.15/22.42
% 147.15/22.42 [10792] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_407_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_407_8)))
% 147.15/22.42 -> [10968] ~unequally_directed_lines(skolem_N7979, M38_407_8)
% 147.15/22.42 -> [10969] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_407_8))
% 147.15/22.42
% 147.15/22.42 [10969] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_407_8))
% 147.15/22.42
% 147.15/22.42 [10968] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_407_8)
% 147.15/22.42
% 147.15/22.42 [10793] BETA_OR : (left_convergent_lines(skolem_N7979, M38_407_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_407_8)))
% 147.15/22.42 -> [10958] left_convergent_lines(skolem_N7979, M38_407_8)
% 147.15/22.42 -> [10959] left_convergent_lines(skolem_N7979, reverse_line(M38_407_8))
% 147.15/22.42
% 147.15/22.42 [10958] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [11050] ~(left_apart_point(A39_824_9, L40_824_9) | left_apart_point(A39_824_9, reverse_line(L40_824_9)))
% 147.15/22.42
% 147.15/22.42 [11050] ALPHA_NOT_OR : ~(left_apart_point(A39_824_9, L40_824_9) | left_apart_point(A39_824_9, reverse_line(L40_824_9)))
% 147.15/22.42 -> [11055] ~left_apart_point(A39_824_9, L40_824_9), ~left_apart_point(A39_824_9, reverse_line(L40_824_9))
% 147.15/22.42
% 147.15/22.42 [11055] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [11465] ~(left_convergent_lines(L41_226_10, M42_226_10) | left_convergent_lines(L41_226_10, reverse_line(M42_226_10)))
% 147.15/22.42
% 147.15/22.42 [11465] ALPHA_NOT_OR : ~(left_convergent_lines(L41_226_10, M42_226_10) | left_convergent_lines(L41_226_10, reverse_line(M42_226_10)))
% 147.15/22.42 -> [11467] ~left_convergent_lines(L41_226_10, M42_226_10), ~left_convergent_lines(L41_226_10, reverse_line(M42_226_10))
% 147.15/22.42
% 147.15/22.42 [11467] CLOSURE : ~left_convergent_lines(L41_226_10, M42_226_10)
% 147.15/22.42
% 147.15/22.42 [10959] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [11036] ~(left_apart_point(A39_821_9, L40_821_9) | left_apart_point(A39_821_9, reverse_line(L40_821_9)))
% 147.15/22.42
% 147.15/22.42 [11036] ALPHA_NOT_OR : ~(left_apart_point(A39_821_9, L40_821_9) | left_apart_point(A39_821_9, reverse_line(L40_821_9)))
% 147.15/22.42 -> [11039] ~left_apart_point(A39_821_9, L40_821_9), ~left_apart_point(A39_821_9, reverse_line(L40_821_9))
% 147.15/22.42
% 147.15/22.42 [11039] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [11508] ~(left_convergent_lines(L41_229_10, M42_229_10) | left_convergent_lines(L41_229_10, reverse_line(M42_229_10)))
% 147.15/22.42
% 147.15/22.42 [11508] ALPHA_NOT_OR : ~(left_convergent_lines(L41_229_10, M42_229_10) | left_convergent_lines(L41_229_10, reverse_line(M42_229_10)))
% 147.15/22.42 -> [11509] ~left_convergent_lines(L41_229_10, M42_229_10), ~left_convergent_lines(L41_229_10, reverse_line(M42_229_10))
% 147.15/22.42
% 147.15/22.42 [11509] CLOSURE : ~left_convergent_lines(L41_229_10, M42_229_10)
% 147.15/22.42
% 147.15/22.42 [10734] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [10747] ~line(skolem_M7878)
% 147.15/22.42 -> [10748] ~line(skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [10748] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [10776] ((unequally_directed_lines(skolem_N7979, M38_406_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_406_8))) => (left_convergent_lines(skolem_N7979, M38_406_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_406_8))))
% 147.15/22.42
% 147.15/22.42 [10776] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_406_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_406_8))) => (left_convergent_lines(skolem_N7979, M38_406_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_406_8))))
% 147.15/22.42 -> [10780] ~(unequally_directed_lines(skolem_N7979, M38_406_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_406_8)))
% 147.15/22.42 -> [10781] (left_convergent_lines(skolem_N7979, M38_406_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_406_8)))
% 147.15/22.42
% 147.15/22.42 [10780] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_406_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_406_8)))
% 147.15/22.42 -> [10814] ~unequally_directed_lines(skolem_N7979, M38_406_8)
% 147.15/22.42 -> [10815] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_406_8))
% 147.15/22.42
% 147.15/22.42 [10815] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_406_8))
% 147.15/22.42
% 147.15/22.42 [10814] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_406_8)
% 147.15/22.42
% 147.15/22.42 [10781] BETA_OR : (left_convergent_lines(skolem_N7979, M38_406_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_406_8)))
% 147.15/22.42 -> [10787] left_convergent_lines(skolem_N7979, M38_406_8)
% 147.15/22.42 -> [10788] left_convergent_lines(skolem_N7979, reverse_line(M38_406_8))
% 147.15/22.42
% 147.15/22.42 [10787] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [10893] ~(left_apart_point(A39_796_9, L40_796_9) | left_apart_point(A39_796_9, reverse_line(L40_796_9)))
% 147.15/22.42
% 147.15/22.42 [10893] ALPHA_NOT_OR : ~(left_apart_point(A39_796_9, L40_796_9) | left_apart_point(A39_796_9, reverse_line(L40_796_9)))
% 147.15/22.42 -> [10896] ~left_apart_point(A39_796_9, L40_796_9), ~left_apart_point(A39_796_9, reverse_line(L40_796_9))
% 147.15/22.42
% 147.15/22.42 [10896] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [11253] ~(left_convergent_lines(L41_222_10, M42_222_10) | left_convergent_lines(L41_222_10, reverse_line(M42_222_10)))
% 147.15/22.42
% 147.15/22.42 [11253] ALPHA_NOT_OR : ~(left_convergent_lines(L41_222_10, M42_222_10) | left_convergent_lines(L41_222_10, reverse_line(M42_222_10)))
% 147.15/22.42 -> [11255] ~left_convergent_lines(L41_222_10, M42_222_10), ~left_convergent_lines(L41_222_10, reverse_line(M42_222_10))
% 147.15/22.42
% 147.15/22.42 [11255] CLOSURE : ~left_convergent_lines(L41_222_10, M42_222_10)
% 147.15/22.42
% 147.15/22.42 [10788] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [10874] ~(left_apart_point(A39_794_9, L40_794_9) | left_apart_point(A39_794_9, reverse_line(L40_794_9)))
% 147.15/22.42
% 147.15/22.42 [10874] ALPHA_NOT_OR : ~(left_apart_point(A39_794_9, L40_794_9) | left_apart_point(A39_794_9, reverse_line(L40_794_9)))
% 147.15/22.42 -> [10879] ~left_apart_point(A39_794_9, L40_794_9), ~left_apart_point(A39_794_9, reverse_line(L40_794_9))
% 147.15/22.42
% 147.15/22.42 [10879] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [11342] ~(left_convergent_lines(L41_224_10, M42_224_10) | left_convergent_lines(L41_224_10, reverse_line(M42_224_10)))
% 147.15/22.42
% 147.15/22.42 [11342] ALPHA_NOT_OR : ~(left_convergent_lines(L41_224_10, M42_224_10) | left_convergent_lines(L41_224_10, reverse_line(M42_224_10)))
% 147.15/22.42 -> [11347] ~left_convergent_lines(L41_224_10, M42_224_10), ~left_convergent_lines(L41_224_10, reverse_line(M42_224_10))
% 147.15/22.42
% 147.15/22.42 [11347] CLOSURE : ~left_convergent_lines(L41_224_10, M42_224_10)
% 147.15/22.42
% 147.15/22.42 [10747] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [10794] ((unequally_directed_lines(skolem_N7979, M38_409_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_409_8))) => (left_convergent_lines(skolem_N7979, M38_409_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_409_8))))
% 147.15/22.42
% 147.15/22.42 [10794] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_409_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_409_8))) => (left_convergent_lines(skolem_N7979, M38_409_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_409_8))))
% 147.15/22.42 -> [10797] ~(unequally_directed_lines(skolem_N7979, M38_409_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_409_8)))
% 147.15/22.42 -> [10798] (left_convergent_lines(skolem_N7979, M38_409_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_409_8)))
% 147.15/22.42
% 147.15/22.42 [10797] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_409_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_409_8)))
% 147.15/22.42 -> [10828] ~unequally_directed_lines(skolem_N7979, M38_409_8)
% 147.15/22.42 -> [10829] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_409_8))
% 147.15/22.42
% 147.15/22.42 [10829] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_409_8))
% 147.15/22.42
% 147.15/22.42 [10828] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_409_8)
% 147.15/22.42
% 147.15/22.42 [10798] BETA_OR : (left_convergent_lines(skolem_N7979, M38_409_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_409_8)))
% 147.15/22.42 -> [10804] left_convergent_lines(skolem_N7979, M38_409_8)
% 147.15/22.42 -> [10805] left_convergent_lines(skolem_N7979, reverse_line(M38_409_8))
% 147.15/22.42
% 147.15/22.42 [10805] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [10909] ~(left_apart_point(A39_800_9, L40_800_9) | left_apart_point(A39_800_9, reverse_line(L40_800_9)))
% 147.15/22.42
% 147.15/22.42 [10909] ALPHA_NOT_OR : ~(left_apart_point(A39_800_9, L40_800_9) | left_apart_point(A39_800_9, reverse_line(L40_800_9)))
% 147.15/22.42 -> [10910] ~left_apart_point(A39_800_9, L40_800_9), ~left_apart_point(A39_800_9, reverse_line(L40_800_9))
% 147.15/22.42
% 147.15/22.42 [10910] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [11247] ~(left_convergent_lines(L41_220_10, M42_220_10) | left_convergent_lines(L41_220_10, reverse_line(M42_220_10)))
% 147.15/22.42
% 147.15/22.42 [11247] ALPHA_NOT_OR : ~(left_convergent_lines(L41_220_10, M42_220_10) | left_convergent_lines(L41_220_10, reverse_line(M42_220_10)))
% 147.15/22.42 -> [11248] ~left_convergent_lines(L41_220_10, M42_220_10), ~left_convergent_lines(L41_220_10, reverse_line(M42_220_10))
% 147.15/22.42
% 147.15/22.42 [11248] CLOSURE : ~left_convergent_lines(L41_220_10, M42_220_10)
% 147.15/22.42
% 147.15/22.42 [10804] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [10905] ~(left_apart_point(A39_799_9, L40_799_9) | left_apart_point(A39_799_9, reverse_line(L40_799_9)))
% 147.15/22.42
% 147.15/22.42 [10905] ALPHA_NOT_OR : ~(left_apart_point(A39_799_9, L40_799_9) | left_apart_point(A39_799_9, reverse_line(L40_799_9)))
% 147.15/22.42 -> [10906] ~left_apart_point(A39_799_9, L40_799_9), ~left_apart_point(A39_799_9, reverse_line(L40_799_9))
% 147.15/22.42
% 147.15/22.42 [10906] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [11984] ~(left_convergent_lines(L41_242_10, M42_242_10) | left_convergent_lines(L41_242_10, reverse_line(M42_242_10)))
% 147.15/22.42
% 147.15/22.42 [11984] ALPHA_NOT_OR : ~(left_convergent_lines(L41_242_10, M42_242_10) | left_convergent_lines(L41_242_10, reverse_line(M42_242_10)))
% 147.15/22.42 -> [11987] ~left_convergent_lines(L41_242_10, M42_242_10), ~left_convergent_lines(L41_242_10, reverse_line(M42_242_10))
% 147.15/22.42
% 147.15/22.42 [11987] CLOSURE : ~left_convergent_lines(L41_242_10, M42_242_10)
% 147.15/22.42
% 147.15/22.42 [151] BETA_NOT_AND : ~(((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.42 -> [175] ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.42 -> [176] ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42
% 147.15/22.42 [176] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42 -> [186] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42
% 147.15/22.42 [186] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [274] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.42 -> [275] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [275] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [288] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [288] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [294] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.42 -> [295] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [295] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [294] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [274] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.42 -> [317] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.42 -> [318] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [317] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [1110] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [1110] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [1159] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.42
% 147.15/22.42 [1159] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.42 -> [1161] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [1162] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [1161] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1162] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.42 -> [1358] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42 -> [1359] distinct_points(skolem_A8080, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [1358] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [1359] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [1667] ~distinct_lines(N27_14_3, N27_14_3)
% 147.15/22.42
% 147.15/22.42 [1667] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [1688] (distinct_lines(N27_14_3, N27_14_3) => (distinct_lines(N27_14_3, N27_14_3) | distinct_lines(N27_14_3, N27_14_3)))
% 147.15/22.42
% 147.15/22.42 [1688] BETA_IMPLY : (distinct_lines(N27_14_3, N27_14_3) => (distinct_lines(N27_14_3, N27_14_3) | distinct_lines(N27_14_3, N27_14_3)))
% 147.15/22.42 -> [1689] ~distinct_lines(N27_14_3, N27_14_3)
% 147.15/22.42 -> [1690] (distinct_lines(N27_14_3, N27_14_3) | distinct_lines(N27_14_3, N27_14_3))
% 147.15/22.42
% 147.15/22.42 [1690] BETA_OR : (distinct_lines(N27_14_3, N27_14_3) | distinct_lines(N27_14_3, N27_14_3))
% 147.15/22.42 -> [1691] distinct_lines(N27_14_3, N27_14_3)
% 147.15/22.42 -> [1692] distinct_lines(N27_14_3, N27_14_3)
% 147.15/22.42
% 147.15/22.42 [1692] CLOSURE : distinct_lines(N27_14_3, N27_14_3)
% 147.15/22.42
% 147.15/22.42 [1691] CLOSURE : distinct_lines(N27_14_3, N27_14_3)
% 147.15/22.42
% 147.15/22.42 [1689] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [1739] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [1739] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [1756] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [1756] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 147.15/22.42 -> [1759] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42 -> [1760] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [1759] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42
% 147.15/22.42 [1760] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 147.15/22.42 -> [3687] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [3688] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [3687] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [3688] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [3991] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42
% 147.15/22.42 [3991] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42 -> [3992] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [3993] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [3992] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [4011] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [4012] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4012] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4011] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [3993] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [7246] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7247] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [7246] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7260] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [7260] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [7247] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7253] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [7253] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [7703] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [7703] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [7706] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [7707] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [7706] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [7773] ~line(skolem_M7878)
% 147.15/22.42 -> [7774] ~line(skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [7773] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [7931] ((unequally_directed_lines(skolem_N7979, M38_238_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_238_8))) => (left_convergent_lines(skolem_N7979, M38_238_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_238_8))))
% 147.15/22.42
% 147.15/22.42 [7931] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_238_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_238_8))) => (left_convergent_lines(skolem_N7979, M38_238_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_238_8))))
% 147.15/22.42 -> [7934] ~(unequally_directed_lines(skolem_N7979, M38_238_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_238_8)))
% 147.15/22.42 -> [7935] (left_convergent_lines(skolem_N7979, M38_238_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_238_8)))
% 147.15/22.42
% 147.15/22.42 [7934] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_238_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_238_8)))
% 147.15/22.42 -> [7996] ~unequally_directed_lines(skolem_N7979, M38_238_8)
% 147.15/22.42 -> [7997] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_238_8))
% 147.15/22.42
% 147.15/22.42 [7997] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_238_8))
% 147.15/22.42
% 147.15/22.42 [7996] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_238_8)
% 147.15/22.42
% 147.15/22.42 [7935] BETA_OR : (left_convergent_lines(skolem_N7979, M38_238_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_238_8)))
% 147.15/22.42 -> [7939] left_convergent_lines(skolem_N7979, M38_238_8)
% 147.15/22.42 -> [7940] left_convergent_lines(skolem_N7979, reverse_line(M38_238_8))
% 147.15/22.42
% 147.15/22.42 [7940] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [8299] ~(left_apart_point(A39_477_9, L40_477_9) | left_apart_point(A39_477_9, reverse_line(L40_477_9)))
% 147.15/22.42
% 147.15/22.42 [8299] ALPHA_NOT_OR : ~(left_apart_point(A39_477_9, L40_477_9) | left_apart_point(A39_477_9, reverse_line(L40_477_9)))
% 147.15/22.42 -> [8302] ~left_apart_point(A39_477_9, L40_477_9), ~left_apart_point(A39_477_9, reverse_line(L40_477_9))
% 147.15/22.42
% 147.15/22.42 [8302] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [8333] ~(left_convergent_lines(L41_122_10, M42_122_10) | left_convergent_lines(L41_122_10, reverse_line(M42_122_10)))
% 147.15/22.42
% 147.15/22.42 [8333] ALPHA_NOT_OR : ~(left_convergent_lines(L41_122_10, M42_122_10) | left_convergent_lines(L41_122_10, reverse_line(M42_122_10)))
% 147.15/22.42 -> [8336] ~left_convergent_lines(L41_122_10, M42_122_10), ~left_convergent_lines(L41_122_10, reverse_line(M42_122_10))
% 147.15/22.42
% 147.15/22.42 [8336] CLOSURE : ~left_convergent_lines(L41_122_10, M42_122_10)
% 147.15/22.42
% 147.15/22.42 [7939] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [8194] ~(left_apart_point(A39_455_9, L40_455_9) | left_apart_point(A39_455_9, reverse_line(L40_455_9)))
% 147.15/22.42
% 147.15/22.42 [8194] ALPHA_NOT_OR : ~(left_apart_point(A39_455_9, L40_455_9) | left_apart_point(A39_455_9, reverse_line(L40_455_9)))
% 147.15/22.42 -> [8195] ~left_apart_point(A39_455_9, L40_455_9), ~left_apart_point(A39_455_9, reverse_line(L40_455_9))
% 147.15/22.42
% 147.15/22.42 [8195] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [8419] ~(left_convergent_lines(L41_127_10, M42_127_10) | left_convergent_lines(L41_127_10, reverse_line(M42_127_10)))
% 147.15/22.42
% 147.15/22.42 [8419] ALPHA_NOT_OR : ~(left_convergent_lines(L41_127_10, M42_127_10) | left_convergent_lines(L41_127_10, reverse_line(M42_127_10)))
% 147.15/22.42 -> [8420] ~left_convergent_lines(L41_127_10, M42_127_10), ~left_convergent_lines(L41_127_10, reverse_line(M42_127_10))
% 147.15/22.42
% 147.15/22.42 [8420] CLOSURE : ~left_convergent_lines(L41_127_10, M42_127_10)
% 147.15/22.42
% 147.15/22.42 [7774] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [7896] ((unequally_directed_lines(skolem_N7979, M38_234_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_234_8))) => (left_convergent_lines(skolem_N7979, M38_234_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_234_8))))
% 147.15/22.42
% 147.15/22.42 [7896] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_234_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_234_8))) => (left_convergent_lines(skolem_N7979, M38_234_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_234_8))))
% 147.15/22.42 -> [7897] ~(unequally_directed_lines(skolem_N7979, M38_234_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_234_8)))
% 147.15/22.42 -> [7898] (left_convergent_lines(skolem_N7979, M38_234_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_234_8)))
% 147.15/22.42
% 147.15/22.42 [7897] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_234_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_234_8)))
% 147.15/22.42 -> [7945] ~unequally_directed_lines(skolem_N7979, M38_234_8)
% 147.15/22.42 -> [7946] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_234_8))
% 147.15/22.42
% 147.15/22.42 [7946] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_234_8))
% 147.15/22.42
% 147.15/22.42 [7945] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_234_8)
% 147.15/22.42
% 147.15/22.42 [7898] BETA_OR : (left_convergent_lines(skolem_N7979, M38_234_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_234_8)))
% 147.15/22.42 -> [7903] left_convergent_lines(skolem_N7979, M38_234_8)
% 147.15/22.42 -> [7904] left_convergent_lines(skolem_N7979, reverse_line(M38_234_8))
% 147.15/22.42
% 147.15/22.42 [7903] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [8132] ~(left_apart_point(A39_446_9, L40_446_9) | left_apart_point(A39_446_9, reverse_line(L40_446_9)))
% 147.15/22.42
% 147.15/22.42 [8132] ALPHA_NOT_OR : ~(left_apart_point(A39_446_9, L40_446_9) | left_apart_point(A39_446_9, reverse_line(L40_446_9)))
% 147.15/22.42 -> [8136] ~left_apart_point(A39_446_9, L40_446_9), ~left_apart_point(A39_446_9, reverse_line(L40_446_9))
% 147.15/22.42
% 147.15/22.42 [8136] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [8437] ~(left_convergent_lines(L41_129_10, M42_129_10) | left_convergent_lines(L41_129_10, reverse_line(M42_129_10)))
% 147.15/22.42
% 147.15/22.42 [8437] ALPHA_NOT_OR : ~(left_convergent_lines(L41_129_10, M42_129_10) | left_convergent_lines(L41_129_10, reverse_line(M42_129_10)))
% 147.15/22.42 -> [8438] ~left_convergent_lines(L41_129_10, M42_129_10), ~left_convergent_lines(L41_129_10, reverse_line(M42_129_10))
% 147.15/22.42
% 147.15/22.42 [8438] CLOSURE : ~left_convergent_lines(L41_129_10, M42_129_10)
% 147.15/22.42
% 147.15/22.42 [7904] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [8139] ~(left_apart_point(A39_447_9, L40_447_9) | left_apart_point(A39_447_9, reverse_line(L40_447_9)))
% 147.15/22.42
% 147.15/22.42 [8139] ALPHA_NOT_OR : ~(left_apart_point(A39_447_9, L40_447_9) | left_apart_point(A39_447_9, reverse_line(L40_447_9)))
% 147.15/22.42 -> [8140] ~left_apart_point(A39_447_9, L40_447_9), ~left_apart_point(A39_447_9, reverse_line(L40_447_9))
% 147.15/22.42
% 147.15/22.42 [8140] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [8475] ~(left_convergent_lines(L41_132_10, M42_132_10) | left_convergent_lines(L41_132_10, reverse_line(M42_132_10)))
% 147.15/22.42
% 147.15/22.42 [8475] ALPHA_NOT_OR : ~(left_convergent_lines(L41_132_10, M42_132_10) | left_convergent_lines(L41_132_10, reverse_line(M42_132_10)))
% 147.15/22.42 -> [8476] ~left_convergent_lines(L41_132_10, M42_132_10), ~left_convergent_lines(L41_132_10, reverse_line(M42_132_10))
% 147.15/22.42
% 147.15/22.42 [8476] CLOSURE : ~left_convergent_lines(L41_132_10, M42_132_10)
% 147.15/22.42
% 147.15/22.42 [7707] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7710] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [7711] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [7710] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [7711] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [7907] ((unequally_directed_lines(skolem_N7979, M38_235_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_235_8))) => (left_convergent_lines(skolem_N7979, M38_235_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_235_8))))
% 147.15/22.42
% 147.15/22.42 [7907] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_235_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_235_8))) => (left_convergent_lines(skolem_N7979, M38_235_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_235_8))))
% 147.15/22.42 -> [7908] ~(unequally_directed_lines(skolem_N7979, M38_235_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_235_8)))
% 147.15/22.42 -> [7909] (left_convergent_lines(skolem_N7979, M38_235_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_235_8)))
% 147.15/22.42
% 147.15/22.42 [7909] BETA_OR : (left_convergent_lines(skolem_N7979, M38_235_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_235_8)))
% 147.15/22.42 -> [7910] left_convergent_lines(skolem_N7979, M38_235_8)
% 147.15/22.42 -> [7911] left_convergent_lines(skolem_N7979, reverse_line(M38_235_8))
% 147.15/22.42
% 147.15/22.42 [7911] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [8078] ~(left_apart_point(A39_440_9, L40_440_9) | left_apart_point(A39_440_9, reverse_line(L40_440_9)))
% 147.15/22.42
% 147.15/22.42 [8078] ALPHA_NOT_OR : ~(left_apart_point(A39_440_9, L40_440_9) | left_apart_point(A39_440_9, reverse_line(L40_440_9)))
% 147.15/22.42 -> [8079] ~left_apart_point(A39_440_9, L40_440_9), ~left_apart_point(A39_440_9, reverse_line(L40_440_9))
% 147.15/22.42
% 147.15/22.42 [8079] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [8311] ~(left_convergent_lines(L41_115_10, M42_115_10) | left_convergent_lines(L41_115_10, reverse_line(M42_115_10)))
% 147.15/22.42
% 147.15/22.42 [8311] ALPHA_NOT_OR : ~(left_convergent_lines(L41_115_10, M42_115_10) | left_convergent_lines(L41_115_10, reverse_line(M42_115_10)))
% 147.15/22.42 -> [8313] ~left_convergent_lines(L41_115_10, M42_115_10), ~left_convergent_lines(L41_115_10, reverse_line(M42_115_10))
% 147.15/22.42
% 147.15/22.42 [8313] CLOSURE : ~left_convergent_lines(L41_115_10, M42_115_10)
% 147.15/22.42
% 147.15/22.42 [7910] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [8144] ~(left_apart_point(A39_448_9, L40_448_9) | left_apart_point(A39_448_9, reverse_line(L40_448_9)))
% 147.15/22.42
% 147.15/22.42 [8144] ALPHA_NOT_OR : ~(left_apart_point(A39_448_9, L40_448_9) | left_apart_point(A39_448_9, reverse_line(L40_448_9)))
% 147.15/22.42 -> [8149] ~left_apart_point(A39_448_9, L40_448_9), ~left_apart_point(A39_448_9, reverse_line(L40_448_9))
% 147.15/22.42
% 147.15/22.42 [8149] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [8345] ~(left_convergent_lines(L41_125_10, M42_125_10) | left_convergent_lines(L41_125_10, reverse_line(M42_125_10)))
% 147.15/22.42
% 147.15/22.42 [8345] ALPHA_NOT_OR : ~(left_convergent_lines(L41_125_10, M42_125_10) | left_convergent_lines(L41_125_10, reverse_line(M42_125_10)))
% 147.15/22.42 -> [8352] ~left_convergent_lines(L41_125_10, M42_125_10), ~left_convergent_lines(L41_125_10, reverse_line(M42_125_10))
% 147.15/22.42
% 147.15/22.42 [8352] CLOSURE : ~left_convergent_lines(L41_125_10, M42_125_10)
% 147.15/22.42
% 147.15/22.42 [7908] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_235_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_235_8)))
% 147.15/22.42 -> [7950] ~unequally_directed_lines(skolem_N7979, M38_235_8)
% 147.15/22.42 -> [7951] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_235_8))
% 147.15/22.42
% 147.15/22.42 [7951] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_235_8))
% 147.15/22.42
% 147.15/22.42 [7950] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_235_8)
% 147.15/22.42
% 147.15/22.42 [318] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42 -> [328] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [328] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42 -> [337] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.42 -> [338] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [338] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [1430] ~distinct_points(C23_107_1, C23_107_1)
% 147.15/22.42
% 147.15/22.42 [1430] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [1473] (distinct_points(C23_107_1, C23_107_1) => (distinct_points(C23_107_1, C23_107_1) | distinct_points(C23_107_1, C23_107_1)))
% 147.15/22.42
% 147.15/22.42 [1473] BETA_IMPLY : (distinct_points(C23_107_1, C23_107_1) => (distinct_points(C23_107_1, C23_107_1) | distinct_points(C23_107_1, C23_107_1)))
% 147.15/22.42 -> [1474] ~distinct_points(C23_107_1, C23_107_1)
% 147.15/22.42 -> [1475] (distinct_points(C23_107_1, C23_107_1) | distinct_points(C23_107_1, C23_107_1))
% 147.15/22.42
% 147.15/22.42 [1475] BETA_OR : (distinct_points(C23_107_1, C23_107_1) | distinct_points(C23_107_1, C23_107_1))
% 147.15/22.42 -> [1478] distinct_points(C23_107_1, C23_107_1)
% 147.15/22.42 -> [1479] distinct_points(C23_107_1, C23_107_1)
% 147.15/22.42
% 147.15/22.42 [1478] CLOSURE : distinct_points(C23_107_1, C23_107_1)
% 147.15/22.42
% 147.15/22.42 [1479] CLOSURE : distinct_points(C23_107_1, C23_107_1)
% 147.15/22.42
% 147.15/22.42 [1474] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [2169] ~distinct_lines(L25_52_3, L25_52_3)
% 147.15/22.42
% 147.15/22.42 [2169] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [2216] (distinct_lines(L25_52_3, L25_52_3) => (distinct_lines(L25_52_3, L25_52_3) | distinct_lines(L25_52_3, L25_52_3)))
% 147.15/22.42
% 147.15/22.42 [2216] BETA_IMPLY : (distinct_lines(L25_52_3, L25_52_3) => (distinct_lines(L25_52_3, L25_52_3) | distinct_lines(L25_52_3, L25_52_3)))
% 147.15/22.42 -> [2219] ~distinct_lines(L25_52_3, L25_52_3)
% 147.15/22.42 -> [2220] (distinct_lines(L25_52_3, L25_52_3) | distinct_lines(L25_52_3, L25_52_3))
% 147.15/22.42
% 147.15/22.42 [2220] BETA_OR : (distinct_lines(L25_52_3, L25_52_3) | distinct_lines(L25_52_3, L25_52_3))
% 147.15/22.42 -> [2222] distinct_lines(L25_52_3, L25_52_3)
% 147.15/22.42 -> [2223] distinct_lines(L25_52_3, L25_52_3)
% 147.15/22.42
% 147.15/22.42 [2223] CLOSURE : distinct_lines(L25_52_3, L25_52_3)
% 147.15/22.42
% 147.15/22.42 [2222] CLOSURE : distinct_lines(L25_52_3, L25_52_3)
% 147.15/22.42
% 147.15/22.42 [2219] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [2246] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [2246] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [2275] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [2275] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 147.15/22.42 -> [2276] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42 -> [2277] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [2276] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42
% 147.15/22.42 [2277] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 147.15/22.42 -> [4413] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [4414] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [4413] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [4414] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [5370] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42
% 147.15/22.42 [5370] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42 -> [5371] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [5372] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [5371] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [5383] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [5384] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [5384] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [5383] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [5372] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [7221] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7222] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [7221] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7242] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [7242] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [7222] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7231] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [7231] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [7541] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [7541] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [7543] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [7544] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [7544] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7548] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [7549] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [7548] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [7549] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [7769] ((unequally_directed_lines(skolem_N7979, M38_226_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_226_8))) => (left_convergent_lines(skolem_N7979, M38_226_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_226_8))))
% 147.15/22.42
% 147.15/22.42 [7769] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_226_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_226_8))) => (left_convergent_lines(skolem_N7979, M38_226_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_226_8))))
% 147.15/22.42 -> [7770] ~(unequally_directed_lines(skolem_N7979, M38_226_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_226_8)))
% 147.15/22.42 -> [7771] (left_convergent_lines(skolem_N7979, M38_226_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_226_8)))
% 147.15/22.42
% 147.15/22.42 [7771] BETA_OR : (left_convergent_lines(skolem_N7979, M38_226_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_226_8)))
% 147.15/22.42 -> [7776] left_convergent_lines(skolem_N7979, M38_226_8)
% 147.15/22.42 -> [7777] left_convergent_lines(skolem_N7979, reverse_line(M38_226_8))
% 147.15/22.42
% 147.15/22.42 [7776] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7919] ~(left_apart_point(A39_418_9, L40_418_9) | left_apart_point(A39_418_9, reverse_line(L40_418_9)))
% 147.15/22.42
% 147.15/22.42 [7919] ALPHA_NOT_OR : ~(left_apart_point(A39_418_9, L40_418_9) | left_apart_point(A39_418_9, reverse_line(L40_418_9)))
% 147.15/22.42 -> [7922] ~left_apart_point(A39_418_9, L40_418_9), ~left_apart_point(A39_418_9, reverse_line(L40_418_9))
% 147.15/22.42
% 147.15/22.42 [7922] CLOSURE : ~left_apart_point(A39_418_9, L40_418_9)
% 147.15/22.42
% 147.15/22.42 [7777] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7924] ~(left_apart_point(A39_419_9, L40_419_9) | left_apart_point(A39_419_9, reverse_line(L40_419_9)))
% 147.15/22.42
% 147.15/22.42 [7924] ALPHA_NOT_OR : ~(left_apart_point(A39_419_9, L40_419_9) | left_apart_point(A39_419_9, reverse_line(L40_419_9)))
% 147.15/22.42 -> [7925] ~left_apart_point(A39_419_9, L40_419_9), ~left_apart_point(A39_419_9, reverse_line(L40_419_9))
% 147.15/22.42
% 147.15/22.42 [7925] CLOSURE : ~left_apart_point(A39_419_9, L40_419_9)
% 147.15/22.42
% 147.15/22.42 [7770] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_226_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_226_8)))
% 147.15/22.42 -> [7814] ~unequally_directed_lines(skolem_N7979, M38_226_8)
% 147.15/22.42 -> [7815] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_226_8))
% 147.15/22.42
% 147.15/22.42 [7814] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_226_8)
% 147.15/22.42
% 147.15/22.42 [7815] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_226_8))
% 147.15/22.42
% 147.15/22.42 [7543] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [7584] ~line(skolem_M7878)
% 147.15/22.42 -> [7585] ~line(skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [7585] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [7727] ((unequally_directed_lines(skolem_N7979, M38_223_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_223_8))) => (left_convergent_lines(skolem_N7979, M38_223_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_223_8))))
% 147.15/22.42
% 147.15/22.42 [7727] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_223_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_223_8))) => (left_convergent_lines(skolem_N7979, M38_223_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_223_8))))
% 147.15/22.42 -> [7728] ~(unequally_directed_lines(skolem_N7979, M38_223_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_223_8)))
% 147.15/22.42 -> [7729] (left_convergent_lines(skolem_N7979, M38_223_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_223_8)))
% 147.15/22.42
% 147.15/22.42 [7728] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_223_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_223_8)))
% 147.15/22.42 -> [7763] ~unequally_directed_lines(skolem_N7979, M38_223_8)
% 147.15/22.42 -> [7764] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_223_8))
% 147.15/22.42
% 147.15/22.42 [7764] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_223_8))
% 147.15/22.42
% 147.15/22.42 [7763] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_223_8)
% 147.15/22.42
% 147.15/22.42 [7729] BETA_OR : (left_convergent_lines(skolem_N7979, M38_223_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_223_8)))
% 147.15/22.42 -> [7737] left_convergent_lines(skolem_N7979, M38_223_8)
% 147.15/22.42 -> [7738] left_convergent_lines(skolem_N7979, reverse_line(M38_223_8))
% 147.15/22.42
% 147.15/22.42 [7737] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7886] ~(left_apart_point(A39_412_9, L40_412_9) | left_apart_point(A39_412_9, reverse_line(L40_412_9)))
% 147.15/22.42
% 147.15/22.42 [7886] ALPHA_NOT_OR : ~(left_apart_point(A39_412_9, L40_412_9) | left_apart_point(A39_412_9, reverse_line(L40_412_9)))
% 147.15/22.42 -> [7887] ~left_apart_point(A39_412_9, L40_412_9), ~left_apart_point(A39_412_9, reverse_line(L40_412_9))
% 147.15/22.42
% 147.15/22.42 [7887] CLOSURE : ~left_apart_point(A39_412_9, L40_412_9)
% 147.15/22.42
% 147.15/22.42 [7738] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7987] ~(left_apart_point(A39_429_9, L40_429_9) | left_apart_point(A39_429_9, reverse_line(L40_429_9)))
% 147.15/22.42
% 147.15/22.42 [7987] ALPHA_NOT_OR : ~(left_apart_point(A39_429_9, L40_429_9) | left_apart_point(A39_429_9, reverse_line(L40_429_9)))
% 147.15/22.42 -> [7989] ~left_apart_point(A39_429_9, L40_429_9), ~left_apart_point(A39_429_9, reverse_line(L40_429_9))
% 147.15/22.42
% 147.15/22.42 [7989] CLOSURE : ~left_apart_point(A39_429_9, L40_429_9)
% 147.15/22.42
% 147.15/22.42 [7584] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [7754] ((unequally_directed_lines(skolem_N7979, M38_225_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_225_8))) => (left_convergent_lines(skolem_N7979, M38_225_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_225_8))))
% 147.15/22.42
% 147.15/22.42 [7754] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_225_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_225_8))) => (left_convergent_lines(skolem_N7979, M38_225_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_225_8))))
% 147.15/22.42 -> [7758] ~(unequally_directed_lines(skolem_N7979, M38_225_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_225_8)))
% 147.15/22.42 -> [7759] (left_convergent_lines(skolem_N7979, M38_225_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_225_8)))
% 147.15/22.42
% 147.15/22.42 [7758] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_225_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_225_8)))
% 147.15/22.42 -> [7794] ~unequally_directed_lines(skolem_N7979, M38_225_8)
% 147.15/22.42 -> [7795] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_225_8))
% 147.15/22.42
% 147.15/22.42 [7795] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_225_8))
% 147.15/22.42
% 147.15/22.42 [7794] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_225_8)
% 147.15/22.42
% 147.15/22.42 [7759] BETA_OR : (left_convergent_lines(skolem_N7979, M38_225_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_225_8)))
% 147.15/22.42 -> [7761] left_convergent_lines(skolem_N7979, M38_225_8)
% 147.15/22.42 -> [7762] left_convergent_lines(skolem_N7979, reverse_line(M38_225_8))
% 147.15/22.42
% 147.15/22.42 [7761] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7912] ~(left_apart_point(A39_417_9, L40_417_9) | left_apart_point(A39_417_9, reverse_line(L40_417_9)))
% 147.15/22.42
% 147.15/22.42 [7912] ALPHA_NOT_OR : ~(left_apart_point(A39_417_9, L40_417_9) | left_apart_point(A39_417_9, reverse_line(L40_417_9)))
% 147.15/22.42 -> [7913] ~left_apart_point(A39_417_9, L40_417_9), ~left_apart_point(A39_417_9, reverse_line(L40_417_9))
% 147.15/22.42
% 147.15/22.42 [7913] CLOSURE : ~left_apart_point(A39_417_9, L40_417_9)
% 147.15/22.42
% 147.15/22.42 [7762] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [8221] ~(left_apart_point(A39_462_9, L40_462_9) | left_apart_point(A39_462_9, reverse_line(L40_462_9)))
% 147.15/22.42
% 147.15/22.42 [8221] ALPHA_NOT_OR : ~(left_apart_point(A39_462_9, L40_462_9) | left_apart_point(A39_462_9, reverse_line(L40_462_9)))
% 147.15/22.42 -> [8224] ~left_apart_point(A39_462_9, L40_462_9), ~left_apart_point(A39_462_9, reverse_line(L40_462_9))
% 147.15/22.42
% 147.15/22.42 [8224] CLOSURE : ~left_apart_point(A39_462_9, L40_462_9)
% 147.15/22.42
% 147.15/22.42 [337] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [928] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [928] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [945] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.42
% 147.15/22.42 [945] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.42 -> [946] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [947] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.42
% 147.15/22.42 [946] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [947] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.42 -> [2013] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [2014] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [2014] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [2013] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [2394] ~distinct_lines(M26_98_3, M26_98_3)
% 147.15/22.42
% 147.15/22.42 [2394] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [3164] (distinct_lines(M26_98_3, M26_98_3) => (distinct_lines(M26_98_3, M26_98_3) | distinct_lines(M26_98_3, M26_98_3)))
% 147.15/22.42
% 147.15/22.42 [3164] BETA_IMPLY : (distinct_lines(M26_98_3, M26_98_3) => (distinct_lines(M26_98_3, M26_98_3) | distinct_lines(M26_98_3, M26_98_3)))
% 147.15/22.42 -> [3165] ~distinct_lines(M26_98_3, M26_98_3)
% 147.15/22.42 -> [3166] (distinct_lines(M26_98_3, M26_98_3) | distinct_lines(M26_98_3, M26_98_3))
% 147.15/22.42
% 147.15/22.42 [3166] BETA_OR : (distinct_lines(M26_98_3, M26_98_3) | distinct_lines(M26_98_3, M26_98_3))
% 147.15/22.42 -> [3169] distinct_lines(M26_98_3, M26_98_3)
% 147.15/22.42 -> [3170] distinct_lines(M26_98_3, M26_98_3)
% 147.15/22.42
% 147.15/22.42 [3169] CLOSURE : distinct_lines(M26_98_3, M26_98_3)
% 147.15/22.42
% 147.15/22.42 [3170] CLOSURE : distinct_lines(M26_98_3, M26_98_3)
% 147.15/22.42
% 147.15/22.42 [3165] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [3286] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [3286] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [3455] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [3455] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)))
% 147.15/22.42 -> [3458] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42 -> [3459] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [3458] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42
% 147.15/22.42 [3459] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878))
% 147.15/22.42 -> [6558] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [6559] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [6558] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [6559] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [6725] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42
% 147.15/22.42 [6725] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.42 -> [6726] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [6727] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [6726] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [6770] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [6771] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [6771] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [6770] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [6727] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [9364] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [9365] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [9364] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [9370] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [9370] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [9365] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [9367] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [9367] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [9378] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [9378] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [9382] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [9383] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [9383] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [9384] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42 -> [9385] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [9384] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [9385] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [9420] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [9420] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42 -> [9421] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [9422] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [9422] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [9425] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [9426] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [9426] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [9536] ~(left_apart_point(A39_614_9, L40_614_9) | left_apart_point(A39_614_9, reverse_line(L40_614_9)))
% 147.15/22.42
% 147.15/22.42 [9536] ALPHA_NOT_OR : ~(left_apart_point(A39_614_9, L40_614_9) | left_apart_point(A39_614_9, reverse_line(L40_614_9)))
% 147.15/22.42 -> [9541] ~left_apart_point(A39_614_9, L40_614_9), ~left_apart_point(A39_614_9, reverse_line(L40_614_9))
% 147.15/22.42
% 147.15/22.42 [9541] CLOSURE : ~left_apart_point(A39_614_9, L40_614_9)
% 147.15/22.42
% 147.15/22.42 [9425] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [9566] ~(left_apart_point(A39_626_9, L40_626_9) | left_apart_point(A39_626_9, reverse_line(L40_626_9)))
% 147.15/22.42
% 147.15/22.42 [9566] ALPHA_NOT_OR : ~(left_apart_point(A39_626_9, L40_626_9) | left_apart_point(A39_626_9, reverse_line(L40_626_9)))
% 147.15/22.42 -> [9568] ~left_apart_point(A39_626_9, L40_626_9), ~left_apart_point(A39_626_9, reverse_line(L40_626_9))
% 147.15/22.42
% 147.15/22.42 [9568] CLOSURE : ~left_apart_point(A39_626_9, L40_626_9)
% 147.15/22.42
% 147.15/22.42 [9421] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [9459] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [9460] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [9460] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [9459] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [9382] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.42 -> [9391] ~line(skolem_M7878)
% 147.15/22.42 -> [9392] ~line(skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [9391] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [9428] ((unequally_directed_lines(skolem_N7979, M38_321_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_321_8))) => (left_convergent_lines(skolem_N7979, M38_321_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_321_8))))
% 147.15/22.42
% 147.15/22.42 [9428] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_321_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_321_8))) => (left_convergent_lines(skolem_N7979, M38_321_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_321_8))))
% 147.15/22.42 -> [9431] ~(unequally_directed_lines(skolem_N7979, M38_321_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_321_8)))
% 147.15/22.42 -> [9432] (left_convergent_lines(skolem_N7979, M38_321_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_321_8)))
% 147.15/22.42
% 147.15/22.42 [9432] BETA_OR : (left_convergent_lines(skolem_N7979, M38_321_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_321_8)))
% 147.15/22.42 -> [9440] left_convergent_lines(skolem_N7979, M38_321_8)
% 147.15/22.42 -> [9441] left_convergent_lines(skolem_N7979, reverse_line(M38_321_8))
% 147.15/22.42
% 147.15/22.42 [9440] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [9552] ~(left_apart_point(A39_620_9, L40_620_9) | left_apart_point(A39_620_9, reverse_line(L40_620_9)))
% 147.15/22.42
% 147.15/22.42 [9552] ALPHA_NOT_OR : ~(left_apart_point(A39_620_9, L40_620_9) | left_apart_point(A39_620_9, reverse_line(L40_620_9)))
% 147.15/22.42 -> [9557] ~left_apart_point(A39_620_9, L40_620_9), ~left_apart_point(A39_620_9, reverse_line(L40_620_9))
% 147.15/22.42
% 147.15/22.42 [9557] CLOSURE : ~left_apart_point(A39_620_9, L40_620_9)
% 147.15/22.42
% 147.15/22.42 [9441] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [9544] ~(left_apart_point(A39_617_9, L40_617_9) | left_apart_point(A39_617_9, reverse_line(L40_617_9)))
% 147.15/22.42
% 147.15/22.42 [9544] ALPHA_NOT_OR : ~(left_apart_point(A39_617_9, L40_617_9) | left_apart_point(A39_617_9, reverse_line(L40_617_9)))
% 147.15/22.42 -> [9570] ~left_apart_point(A39_617_9, L40_617_9), ~left_apart_point(A39_617_9, reverse_line(L40_617_9))
% 147.15/22.42
% 147.15/22.42 [9570] CLOSURE : ~left_apart_point(A39_617_9, L40_617_9)
% 147.15/22.42
% 147.15/22.42 [9431] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_321_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_321_8)))
% 147.15/22.42 -> [9478] ~unequally_directed_lines(skolem_N7979, M38_321_8)
% 147.15/22.42 -> [9479] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_321_8))
% 147.15/22.42
% 147.15/22.42 [9479] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_321_8))
% 147.15/22.42
% 147.15/22.42 [9478] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_321_8)
% 147.15/22.42
% 147.15/22.42 [9392] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [9410] ((unequally_directed_lines(skolem_N7979, M38_318_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_318_8))) => (left_convergent_lines(skolem_N7979, M38_318_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_318_8))))
% 147.15/22.42
% 147.15/22.42 [9410] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_318_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_318_8))) => (left_convergent_lines(skolem_N7979, M38_318_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_318_8))))
% 147.15/22.42 -> [9412] ~(unequally_directed_lines(skolem_N7979, M38_318_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_318_8)))
% 147.15/22.42 -> [9413] (left_convergent_lines(skolem_N7979, M38_318_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_318_8)))
% 147.15/22.42
% 147.15/22.42 [9412] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_318_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_318_8)))
% 147.15/22.42 -> [9447] ~unequally_directed_lines(skolem_N7979, M38_318_8)
% 147.15/22.42 -> [9448] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_318_8))
% 147.15/22.42
% 147.15/22.42 [9448] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_318_8))
% 147.15/22.42
% 147.15/22.42 [9447] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_318_8)
% 147.15/22.42
% 147.15/22.42 [9413] BETA_OR : (left_convergent_lines(skolem_N7979, M38_318_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_318_8)))
% 147.15/22.42 -> [9416] left_convergent_lines(skolem_N7979, M38_318_8)
% 147.15/22.42 -> [9417] left_convergent_lines(skolem_N7979, reverse_line(M38_318_8))
% 147.15/22.42
% 147.15/22.42 [9416] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [9567] ~(left_apart_point(A39_627_9, L40_627_9) | left_apart_point(A39_627_9, reverse_line(L40_627_9)))
% 147.15/22.42
% 147.15/22.42 [9567] ALPHA_NOT_OR : ~(left_apart_point(A39_627_9, L40_627_9) | left_apart_point(A39_627_9, reverse_line(L40_627_9)))
% 147.15/22.42 -> [9569] ~left_apart_point(A39_627_9, L40_627_9), ~left_apart_point(A39_627_9, reverse_line(L40_627_9))
% 147.15/22.42
% 147.15/22.42 [9569] CLOSURE : ~left_apart_point(A39_627_9, L40_627_9)
% 147.15/22.42
% 147.15/22.42 [9417] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [9603] ~(left_apart_point(A39_630_9, L40_630_9) | left_apart_point(A39_630_9, reverse_line(L40_630_9)))
% 147.15/22.42
% 147.15/22.42 [9603] ALPHA_NOT_OR : ~(left_apart_point(A39_630_9, L40_630_9) | left_apart_point(A39_630_9, reverse_line(L40_630_9)))
% 147.15/22.42 -> [9607] ~left_apart_point(A39_630_9, L40_630_9), ~left_apart_point(A39_630_9, reverse_line(L40_630_9))
% 147.15/22.42
% 147.15/22.42 [9607] CLOSURE : ~left_apart_point(A39_630_9, L40_630_9)
% 147.15/22.42
% 147.15/22.42 [175] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [222] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.42 -> [223] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [223] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [230] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [230] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.42 -> [236] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [237] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [237] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42 -> [248] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [248] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [251] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.42 -> [252] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [252] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [251] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [236] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [266] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.42 -> [267] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [266] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [267] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [222] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.42 -> [296] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [297] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [296] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.42 -> [363] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.42 -> [364] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [363] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [469] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.42 -> [470] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [470] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [477] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [477] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [479] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.42 -> [480] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [479] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [480] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [469] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [793] ~distinct_points(A20_44_0, A20_44_0)
% 147.15/22.42
% 147.15/22.42 [793] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [812] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.42
% 147.15/22.42 [812] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.42 -> [813] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [814] (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42
% 147.15/22.42 [813] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [814] BETA_OR : (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.42 -> [1564] distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.42 -> [1565] distinct_points(skolem_A8080, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.42
% 147.15/22.42 [1564] CLOSURE : distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.42
% 147.15/22.42 [1565] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [1695] ~distinct_lines(N27_18_3, N27_18_3)
% 147.15/22.42
% 147.15/22.42 [1695] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [1720] (distinct_lines(N27_18_3, N27_18_3) => (distinct_lines(N27_18_3, N27_18_3) | distinct_lines(N27_18_3, N27_18_3)))
% 147.15/22.42
% 147.15/22.42 [1720] BETA_IMPLY : (distinct_lines(N27_18_3, N27_18_3) => (distinct_lines(N27_18_3, N27_18_3) | distinct_lines(N27_18_3, N27_18_3)))
% 147.15/22.42 -> [1723] ~distinct_lines(N27_18_3, N27_18_3)
% 147.15/22.42 -> [1724] (distinct_lines(N27_18_3, N27_18_3) | distinct_lines(N27_18_3, N27_18_3))
% 147.15/22.42
% 147.15/22.42 [1724] BETA_OR : (distinct_lines(N27_18_3, N27_18_3) | distinct_lines(N27_18_3, N27_18_3))
% 147.15/22.42 -> [1730] distinct_lines(N27_18_3, N27_18_3)
% 147.15/22.42 -> [1731] distinct_lines(N27_18_3, N27_18_3)
% 147.15/22.42
% 147.15/22.42 [1731] CLOSURE : distinct_lines(N27_18_3, N27_18_3)
% 147.15/22.42
% 147.15/22.42 [1730] CLOSURE : distinct_lines(N27_18_3, N27_18_3)
% 147.15/22.42
% 147.15/22.42 [1723] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [1804] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [1804] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [1853] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [1853] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42 -> [1854] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [1855] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [1854] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [1855] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42 -> [3044] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [3045] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3045] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3044] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [3323] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_15_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_15_6))) | (unequally_directed_lines(skolem_N7979, N34_15_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_15_6)))))
% 147.15/22.42
% 147.15/22.42 [3323] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_15_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_15_6))) | (unequally_directed_lines(skolem_N7979, N34_15_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_15_6)))))
% 147.15/22.42 -> [3326] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [3327] ((unequally_directed_lines(skolem_M7878, N34_15_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_15_6))) | (unequally_directed_lines(skolem_N7979, N34_15_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_15_6))))
% 147.15/22.42
% 147.15/22.42 [3326] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [3340] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [3341] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3341] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3340] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [3327] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_15_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_15_6))) | (unequally_directed_lines(skolem_N7979, N34_15_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_15_6))))
% 147.15/22.42 -> [5074] (unequally_directed_lines(skolem_M7878, N34_15_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_15_6)))
% 147.15/22.42 -> [5075] (unequally_directed_lines(skolem_N7979, N34_15_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_15_6)))
% 147.15/22.42
% 147.15/22.42 [5075] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_15_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_15_6)))
% 147.15/22.42 -> [5079] unequally_directed_lines(skolem_N7979, N34_15_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_15_6))
% 147.15/22.42
% 147.15/22.42 [5079] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [5249] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.42
% 147.15/22.42 [5249] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.42 -> [5252] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42 -> [5253] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.42
% 147.15/22.42 [5252] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42 -> [5327] ~line(skolem_L7777)
% 147.15/22.42 -> [5328] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [5327] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [5504] ((unequally_directed_lines(skolem_N7979, M38_97_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_97_8))) => (left_convergent_lines(skolem_N7979, M38_97_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_97_8))))
% 147.15/22.42
% 147.15/22.42 [5504] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_97_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_97_8))) => (left_convergent_lines(skolem_N7979, M38_97_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_97_8))))
% 147.15/22.42 -> [5505] ~(unequally_directed_lines(skolem_N7979, M38_97_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_97_8)))
% 147.15/22.42 -> [5506] (left_convergent_lines(skolem_N7979, M38_97_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_97_8)))
% 147.15/22.42
% 147.15/22.42 [5505] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_97_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_97_8)))
% 147.15/22.42 -> [5574] ~unequally_directed_lines(skolem_N7979, M38_97_8)
% 147.15/22.42 -> [5575] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_97_8))
% 147.15/22.42
% 147.15/22.42 [5575] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_97_8))
% 147.15/22.42
% 147.15/22.42 [5574] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_97_8)
% 147.15/22.42
% 147.15/22.42 [5506] BETA_OR : (left_convergent_lines(skolem_N7979, M38_97_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_97_8)))
% 147.15/22.42 -> [5507] left_convergent_lines(skolem_N7979, M38_97_8)
% 147.15/22.42 -> [5508] left_convergent_lines(skolem_N7979, reverse_line(M38_97_8))
% 147.15/22.42
% 147.15/22.42 [5508] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5678] ~(left_apart_point(A39_190_9, L40_190_9) | left_apart_point(A39_190_9, reverse_line(L40_190_9)))
% 147.15/22.42
% 147.15/22.42 [5678] ALPHA_NOT_OR : ~(left_apart_point(A39_190_9, L40_190_9) | left_apart_point(A39_190_9, reverse_line(L40_190_9)))
% 147.15/22.42 -> [5683] ~left_apart_point(A39_190_9, L40_190_9), ~left_apart_point(A39_190_9, reverse_line(L40_190_9))
% 147.15/22.42
% 147.15/22.42 [5683] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [5808] ~(left_convergent_lines(L41_36_10, M42_36_10) | left_convergent_lines(L41_36_10, reverse_line(M42_36_10)))
% 147.15/22.42
% 147.15/22.42 [5808] ALPHA_NOT_OR : ~(left_convergent_lines(L41_36_10, M42_36_10) | left_convergent_lines(L41_36_10, reverse_line(M42_36_10)))
% 147.15/22.42 -> [5809] ~left_convergent_lines(L41_36_10, M42_36_10), ~left_convergent_lines(L41_36_10, reverse_line(M42_36_10))
% 147.15/22.42
% 147.15/22.42 [5809] CLOSURE : ~left_convergent_lines(L41_36_10, M42_36_10)
% 147.15/22.42
% 147.15/22.42 [5507] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5836] ~(left_apart_point(A39_202_9, L40_202_9) | left_apart_point(A39_202_9, reverse_line(L40_202_9)))
% 147.15/22.42
% 147.15/22.42 [5836] ALPHA_NOT_OR : ~(left_apart_point(A39_202_9, L40_202_9) | left_apart_point(A39_202_9, reverse_line(L40_202_9)))
% 147.15/22.42 -> [5841] ~left_apart_point(A39_202_9, L40_202_9), ~left_apart_point(A39_202_9, reverse_line(L40_202_9))
% 147.15/22.42
% 147.15/22.42 [5841] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [6016] ~(left_convergent_lines(L41_40_10, M42_40_10) | left_convergent_lines(L41_40_10, reverse_line(M42_40_10)))
% 147.15/22.42
% 147.15/22.42 [6016] ALPHA_NOT_OR : ~(left_convergent_lines(L41_40_10, M42_40_10) | left_convergent_lines(L41_40_10, reverse_line(M42_40_10)))
% 147.15/22.42 -> [6017] ~left_convergent_lines(L41_40_10, M42_40_10), ~left_convergent_lines(L41_40_10, reverse_line(M42_40_10))
% 147.15/22.42
% 147.15/22.42 [6017] CLOSURE : ~left_convergent_lines(L41_40_10, M42_40_10)
% 147.15/22.42
% 147.15/22.42 [5328] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [5472] ((unequally_directed_lines(skolem_N7979, M38_93_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_93_8))) => (left_convergent_lines(skolem_N7979, M38_93_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_93_8))))
% 147.15/22.42
% 147.15/22.42 [5472] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_93_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_93_8))) => (left_convergent_lines(skolem_N7979, M38_93_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_93_8))))
% 147.15/22.42 -> [5474] ~(unequally_directed_lines(skolem_N7979, M38_93_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_93_8)))
% 147.15/22.42 -> [5475] (left_convergent_lines(skolem_N7979, M38_93_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_93_8)))
% 147.15/22.42
% 147.15/22.42 [5474] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_93_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_93_8)))
% 147.15/22.42 -> [5516] ~unequally_directed_lines(skolem_N7979, M38_93_8)
% 147.15/22.42 -> [5517] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_93_8))
% 147.15/22.42
% 147.15/22.42 [5517] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_93_8))
% 147.15/22.42
% 147.15/22.42 [5516] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_93_8)
% 147.15/22.42
% 147.15/22.42 [5475] BETA_OR : (left_convergent_lines(skolem_N7979, M38_93_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_93_8)))
% 147.15/22.42 -> [5479] left_convergent_lines(skolem_N7979, M38_93_8)
% 147.15/22.42 -> [5480] left_convergent_lines(skolem_N7979, reverse_line(M38_93_8))
% 147.15/22.42
% 147.15/22.42 [5479] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5712] ~(left_apart_point(A39_194_9, L40_194_9) | left_apart_point(A39_194_9, reverse_line(L40_194_9)))
% 147.15/22.42
% 147.15/22.42 [5712] ALPHA_NOT_OR : ~(left_apart_point(A39_194_9, L40_194_9) | left_apart_point(A39_194_9, reverse_line(L40_194_9)))
% 147.15/22.42 -> [5714] ~left_apart_point(A39_194_9, L40_194_9), ~left_apart_point(A39_194_9, reverse_line(L40_194_9))
% 147.15/22.42
% 147.15/22.42 [5714] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [6130] ~(left_convergent_lines(L41_43_10, M42_43_10) | left_convergent_lines(L41_43_10, reverse_line(M42_43_10)))
% 147.15/22.42
% 147.15/22.42 [6130] ALPHA_NOT_OR : ~(left_convergent_lines(L41_43_10, M42_43_10) | left_convergent_lines(L41_43_10, reverse_line(M42_43_10)))
% 147.15/22.42 -> [6131] ~left_convergent_lines(L41_43_10, M42_43_10), ~left_convergent_lines(L41_43_10, reverse_line(M42_43_10))
% 147.15/22.42
% 147.15/22.42 [6131] CLOSURE : ~left_convergent_lines(L41_43_10, M42_43_10)
% 147.15/22.42
% 147.15/22.42 [5480] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5718] ~(left_apart_point(A39_195_9, L40_195_9) | left_apart_point(A39_195_9, reverse_line(L40_195_9)))
% 147.15/22.42
% 147.15/22.42 [5718] ALPHA_NOT_OR : ~(left_apart_point(A39_195_9, L40_195_9) | left_apart_point(A39_195_9, reverse_line(L40_195_9)))
% 147.15/22.42 -> [5719] ~left_apart_point(A39_195_9, L40_195_9), ~left_apart_point(A39_195_9, reverse_line(L40_195_9))
% 147.15/22.42
% 147.15/22.42 [5719] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [6493] ~(left_convergent_lines(L41_50_10, M42_50_10) | left_convergent_lines(L41_50_10, reverse_line(M42_50_10)))
% 147.15/22.42
% 147.15/22.42 [6493] ALPHA_NOT_OR : ~(left_convergent_lines(L41_50_10, M42_50_10) | left_convergent_lines(L41_50_10, reverse_line(M42_50_10)))
% 147.15/22.42 -> [6496] ~left_convergent_lines(L41_50_10, M42_50_10), ~left_convergent_lines(L41_50_10, reverse_line(M42_50_10))
% 147.15/22.42
% 147.15/22.42 [6496] CLOSURE : ~left_convergent_lines(L41_50_10, M42_50_10)
% 147.15/22.42
% 147.15/22.42 [5253] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.42 -> [5258] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.42 -> [5259] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42
% 147.15/22.42 [5258] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [5259] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [7350] ((unequally_directed_lines(skolem_N7979, M38_200_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_200_8))) => (left_convergent_lines(skolem_N7979, M38_200_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_200_8))))
% 147.15/22.42
% 147.15/22.42 [7350] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_200_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_200_8))) => (left_convergent_lines(skolem_N7979, M38_200_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_200_8))))
% 147.15/22.42 -> [7352] ~(unequally_directed_lines(skolem_N7979, M38_200_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_200_8)))
% 147.15/22.42 -> [7353] (left_convergent_lines(skolem_N7979, M38_200_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_200_8)))
% 147.15/22.42
% 147.15/22.42 [7352] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_200_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_200_8)))
% 147.15/22.42 -> [7356] ~unequally_directed_lines(skolem_N7979, M38_200_8)
% 147.15/22.42 -> [7357] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_200_8))
% 147.15/22.42
% 147.15/22.42 [7357] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_200_8))
% 147.15/22.42
% 147.15/22.42 [7356] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_200_8)
% 147.15/22.42
% 147.15/22.42 [7353] BETA_OR : (left_convergent_lines(skolem_N7979, M38_200_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_200_8)))
% 147.15/22.42 -> [7859] left_convergent_lines(skolem_N7979, M38_200_8)
% 147.15/22.42 -> [7860] left_convergent_lines(skolem_N7979, reverse_line(M38_200_8))
% 147.15/22.42
% 147.15/22.42 [7860] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7972] ~(left_apart_point(A39_423_9, L40_423_9) | left_apart_point(A39_423_9, reverse_line(L40_423_9)))
% 147.15/22.42
% 147.15/22.42 [7972] ALPHA_NOT_OR : ~(left_apart_point(A39_423_9, L40_423_9) | left_apart_point(A39_423_9, reverse_line(L40_423_9)))
% 147.15/22.42 -> [7973] ~left_apart_point(A39_423_9, L40_423_9), ~left_apart_point(A39_423_9, reverse_line(L40_423_9))
% 147.15/22.42
% 147.15/22.42 [7973] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [8110] ~(left_convergent_lines(L41_109_10, M42_109_10) | left_convergent_lines(L41_109_10, reverse_line(M42_109_10)))
% 147.15/22.42
% 147.15/22.42 [8110] ALPHA_NOT_OR : ~(left_convergent_lines(L41_109_10, M42_109_10) | left_convergent_lines(L41_109_10, reverse_line(M42_109_10)))
% 147.15/22.42 -> [8114] ~left_convergent_lines(L41_109_10, M42_109_10), ~left_convergent_lines(L41_109_10, reverse_line(M42_109_10))
% 147.15/22.42
% 147.15/22.42 [8114] CLOSURE : ~left_convergent_lines(L41_109_10, M42_109_10)
% 147.15/22.42
% 147.15/22.42 [7859] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7990] ~(left_apart_point(A39_430_9, L40_430_9) | left_apart_point(A39_430_9, reverse_line(L40_430_9)))
% 147.15/22.42
% 147.15/22.42 [7990] ALPHA_NOT_OR : ~(left_apart_point(A39_430_9, L40_430_9) | left_apart_point(A39_430_9, reverse_line(L40_430_9)))
% 147.15/22.42 -> [7991] ~left_apart_point(A39_430_9, L40_430_9), ~left_apart_point(A39_430_9, reverse_line(L40_430_9))
% 147.15/22.42
% 147.15/22.42 [7991] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [8145] ~(left_convergent_lines(L41_110_10, M42_110_10) | left_convergent_lines(L41_110_10, reverse_line(M42_110_10)))
% 147.15/22.42
% 147.15/22.42 [8145] ALPHA_NOT_OR : ~(left_convergent_lines(L41_110_10, M42_110_10) | left_convergent_lines(L41_110_10, reverse_line(M42_110_10)))
% 147.15/22.42 -> [8150] ~left_convergent_lines(L41_110_10, M42_110_10), ~left_convergent_lines(L41_110_10, reverse_line(M42_110_10))
% 147.15/22.42
% 147.15/22.42 [8150] CLOSURE : ~left_convergent_lines(L41_110_10, M42_110_10)
% 147.15/22.42
% 147.15/22.42 [5074] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_15_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_15_6)))
% 147.15/22.42 -> [5097] unequally_directed_lines(skolem_M7878, N34_15_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_15_6))
% 147.15/22.42
% 147.15/22.42 [5097] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [5285] ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.42
% 147.15/22.42 [5285] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.42 -> [5286] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.42 -> [5287] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [5286] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.42 -> [5325] ~line(reverse_line(skolem_N7979))
% 147.15/22.42 -> [5326] ~line(reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [5325] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [5459] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [5459] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [5460] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5461] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [5460] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5496] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [5497] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5497] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5496] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [5461] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5466] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [5467] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5466] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5622] ~(left_apart_point(A39_177_9, L40_177_9) | left_apart_point(A39_177_9, reverse_line(L40_177_9)))
% 147.15/22.42
% 147.15/22.42 [5622] ALPHA_NOT_OR : ~(left_apart_point(A39_177_9, L40_177_9) | left_apart_point(A39_177_9, reverse_line(L40_177_9)))
% 147.15/22.42 -> [5623] ~left_apart_point(A39_177_9, L40_177_9), ~left_apart_point(A39_177_9, reverse_line(L40_177_9))
% 147.15/22.42
% 147.15/22.42 [5623] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [5915] ~(left_convergent_lines(L41_38_10, M42_38_10) | left_convergent_lines(L41_38_10, reverse_line(M42_38_10)))
% 147.15/22.42
% 147.15/22.42 [5915] ALPHA_NOT_OR : ~(left_convergent_lines(L41_38_10, M42_38_10) | left_convergent_lines(L41_38_10, reverse_line(M42_38_10)))
% 147.15/22.42 -> [5916] ~left_convergent_lines(L41_38_10, M42_38_10), ~left_convergent_lines(L41_38_10, reverse_line(M42_38_10))
% 147.15/22.42
% 147.15/22.42 [5916] CLOSURE : ~left_convergent_lines(L41_38_10, M42_38_10)
% 147.15/22.42
% 147.15/22.42 [5467] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5576] ~(left_apart_point(A39_175_9, L40_175_9) | left_apart_point(A39_175_9, reverse_line(L40_175_9)))
% 147.15/22.42
% 147.15/22.42 [5576] ALPHA_NOT_OR : ~(left_apart_point(A39_175_9, L40_175_9) | left_apart_point(A39_175_9, reverse_line(L40_175_9)))
% 147.15/22.42 -> [5577] ~left_apart_point(A39_175_9, L40_175_9), ~left_apart_point(A39_175_9, reverse_line(L40_175_9))
% 147.15/22.42
% 147.15/22.42 [5577] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [5977] ~(left_convergent_lines(L41_39_10, M42_39_10) | left_convergent_lines(L41_39_10, reverse_line(M42_39_10)))
% 147.15/22.42
% 147.15/22.42 [5977] ALPHA_NOT_OR : ~(left_convergent_lines(L41_39_10, M42_39_10) | left_convergent_lines(L41_39_10, reverse_line(M42_39_10)))
% 147.15/22.42 -> [5979] ~left_convergent_lines(L41_39_10, M42_39_10), ~left_convergent_lines(L41_39_10, reverse_line(M42_39_10))
% 147.15/22.42
% 147.15/22.42 [5979] CLOSURE : ~left_convergent_lines(L41_39_10, M42_39_10)
% 147.15/22.42
% 147.15/22.42 [5326] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [5421] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [5421] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [5424] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5425] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [5424] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5470] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [5471] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5471] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5470] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [5425] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5428] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [5429] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5428] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5583] ~(left_apart_point(A39_176_9, L40_176_9) | left_apart_point(A39_176_9, reverse_line(L40_176_9)))
% 147.15/22.42
% 147.15/22.42 [5583] ALPHA_NOT_OR : ~(left_apart_point(A39_176_9, L40_176_9) | left_apart_point(A39_176_9, reverse_line(L40_176_9)))
% 147.15/22.42 -> [5586] ~left_apart_point(A39_176_9, L40_176_9), ~left_apart_point(A39_176_9, reverse_line(L40_176_9))
% 147.15/22.42
% 147.15/22.42 [5586] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [6018] ~(left_convergent_lines(L41_41_10, M42_41_10) | left_convergent_lines(L41_41_10, reverse_line(M42_41_10)))
% 147.15/22.42
% 147.15/22.42 [6018] ALPHA_NOT_OR : ~(left_convergent_lines(L41_41_10, M42_41_10) | left_convergent_lines(L41_41_10, reverse_line(M42_41_10)))
% 147.15/22.42 -> [6020] ~left_convergent_lines(L41_41_10, M42_41_10), ~left_convergent_lines(L41_41_10, reverse_line(M42_41_10))
% 147.15/22.42
% 147.15/22.42 [6020] CLOSURE : ~left_convergent_lines(L41_41_10, M42_41_10)
% 147.15/22.42
% 147.15/22.42 [5429] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5553] ~(left_apart_point(A39_174_9, L40_174_9) | left_apart_point(A39_174_9, reverse_line(L40_174_9)))
% 147.15/22.42
% 147.15/22.42 [5553] ALPHA_NOT_OR : ~(left_apart_point(A39_174_9, L40_174_9) | left_apart_point(A39_174_9, reverse_line(L40_174_9)))
% 147.15/22.42 -> [5555] ~left_apart_point(A39_174_9, L40_174_9), ~left_apart_point(A39_174_9, reverse_line(L40_174_9))
% 147.15/22.42
% 147.15/22.42 [5555] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [5799] ~(left_convergent_lines(L41_35_10, M42_35_10) | left_convergent_lines(L41_35_10, reverse_line(M42_35_10)))
% 147.15/22.42
% 147.15/22.42 [5799] ALPHA_NOT_OR : ~(left_convergent_lines(L41_35_10, M42_35_10) | left_convergent_lines(L41_35_10, reverse_line(M42_35_10)))
% 147.15/22.42 -> [5802] ~left_convergent_lines(L41_35_10, M42_35_10), ~left_convergent_lines(L41_35_10, reverse_line(M42_35_10))
% 147.15/22.42
% 147.15/22.42 [5802] CLOSURE : ~left_convergent_lines(L41_35_10, M42_35_10)
% 147.15/22.42
% 147.15/22.42 [5287] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.42 -> [5290] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42 -> [5291] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [5290] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [5291] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [10258] ((unequally_directed_lines(skolem_M7878, M38_376_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_376_8))) => (left_convergent_lines(skolem_M7878, M38_376_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_376_8))))
% 147.15/22.42
% 147.15/22.42 [10258] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_376_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_376_8))) => (left_convergent_lines(skolem_M7878, M38_376_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_376_8))))
% 147.15/22.42 -> [10261] ~(unequally_directed_lines(skolem_M7878, M38_376_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_376_8)))
% 147.15/22.42 -> [10262] (left_convergent_lines(skolem_M7878, M38_376_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_376_8)))
% 147.15/22.42
% 147.15/22.42 [10261] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_376_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_376_8)))
% 147.15/22.42 -> [10292] ~unequally_directed_lines(skolem_M7878, M38_376_8)
% 147.15/22.42 -> [10293] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_376_8))
% 147.15/22.42
% 147.15/22.42 [10293] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_376_8))
% 147.15/22.42
% 147.15/22.42 [10292] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_376_8)
% 147.15/22.42
% 147.15/22.42 [10262] BETA_OR : (left_convergent_lines(skolem_M7878, M38_376_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_376_8)))
% 147.15/22.42 -> [10271] left_convergent_lines(skolem_M7878, M38_376_8)
% 147.15/22.42 -> [10272] left_convergent_lines(skolem_M7878, reverse_line(M38_376_8))
% 147.15/22.42
% 147.15/22.42 [10271] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [10371] ~(left_apart_point(A39_729_9, L40_729_9) | left_apart_point(A39_729_9, reverse_line(L40_729_9)))
% 147.15/22.42
% 147.15/22.42 [10371] ALPHA_NOT_OR : ~(left_apart_point(A39_729_9, L40_729_9) | left_apart_point(A39_729_9, reverse_line(L40_729_9)))
% 147.15/22.42 -> [10375] ~left_apart_point(A39_729_9, L40_729_9), ~left_apart_point(A39_729_9, reverse_line(L40_729_9))
% 147.15/22.42
% 147.15/22.42 [10375] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [10548] ~(left_convergent_lines(L41_204_10, M42_204_10) | left_convergent_lines(L41_204_10, reverse_line(M42_204_10)))
% 147.15/22.42
% 147.15/22.42 [10548] ALPHA_NOT_OR : ~(left_convergent_lines(L41_204_10, M42_204_10) | left_convergent_lines(L41_204_10, reverse_line(M42_204_10)))
% 147.15/22.42 -> [10550] ~left_convergent_lines(L41_204_10, M42_204_10), ~left_convergent_lines(L41_204_10, reverse_line(M42_204_10))
% 147.15/22.42
% 147.15/22.42 [10550] CLOSURE : ~left_convergent_lines(L41_204_10, M42_204_10)
% 147.15/22.42
% 147.15/22.42 [10272] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [10414] ~(left_apart_point(A39_739_9, L40_739_9) | left_apart_point(A39_739_9, reverse_line(L40_739_9)))
% 147.15/22.42
% 147.15/22.42 [10414] ALPHA_NOT_OR : ~(left_apart_point(A39_739_9, L40_739_9) | left_apart_point(A39_739_9, reverse_line(L40_739_9)))
% 147.15/22.42 -> [10415] ~left_apart_point(A39_739_9, L40_739_9), ~left_apart_point(A39_739_9, reverse_line(L40_739_9))
% 147.15/22.42
% 147.15/22.42 [10415] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.42 -> [10668] ~(left_convergent_lines(L41_207_10, M42_207_10) | left_convergent_lines(L41_207_10, reverse_line(M42_207_10)))
% 147.15/22.42
% 147.15/22.42 [10668] ALPHA_NOT_OR : ~(left_convergent_lines(L41_207_10, M42_207_10) | left_convergent_lines(L41_207_10, reverse_line(M42_207_10)))
% 147.15/22.42 -> [10669] ~left_convergent_lines(L41_207_10, M42_207_10), ~left_convergent_lines(L41_207_10, reverse_line(M42_207_10))
% 147.15/22.42
% 147.15/22.42 [10669] CLOSURE : ~left_convergent_lines(L41_207_10, M42_207_10)
% 147.15/22.42
% 147.15/22.42 [364] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42 -> [370] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [370] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [372] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.42 -> [373] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [373] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [383] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [383] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42 -> [390] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.42 -> [391] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [391] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [431] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.42 -> [432] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [431] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [432] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [390] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [448] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.42 -> [449] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [449] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [448] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [372] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42 -> [429] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.42 -> [430] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [429] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [464] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [464] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [826] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.42
% 147.15/22.42 [826] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.42 -> [829] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [830] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [829] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [830] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.42 -> [1180] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42 -> [1181] distinct_points(skolem_A8080, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [1180] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [1181] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [1213] ~distinct_lines(M26_0_3, M26_0_3)
% 147.15/22.42
% 147.15/22.42 [1213] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [1218] (distinct_lines(M26_0_3, M26_0_3) => (distinct_lines(M26_0_3, M26_0_3) | distinct_lines(M26_0_3, M26_0_3)))
% 147.15/22.42
% 147.15/22.42 [1218] BETA_IMPLY : (distinct_lines(M26_0_3, M26_0_3) => (distinct_lines(M26_0_3, M26_0_3) | distinct_lines(M26_0_3, M26_0_3)))
% 147.15/22.42 -> [1219] ~distinct_lines(M26_0_3, M26_0_3)
% 147.15/22.42 -> [1220] (distinct_lines(M26_0_3, M26_0_3) | distinct_lines(M26_0_3, M26_0_3))
% 147.15/22.42
% 147.15/22.42 [1220] BETA_OR : (distinct_lines(M26_0_3, M26_0_3) | distinct_lines(M26_0_3, M26_0_3))
% 147.15/22.42 -> [1242] distinct_lines(M26_0_3, M26_0_3)
% 147.15/22.42 -> [1243] distinct_lines(M26_0_3, M26_0_3)
% 147.15/22.42
% 147.15/22.42 [1242] CLOSURE : distinct_lines(M26_0_3, M26_0_3)
% 147.15/22.42
% 147.15/22.42 [1243] CLOSURE : distinct_lines(M26_0_3, M26_0_3)
% 147.15/22.42
% 147.15/22.42 [1219] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [1272] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [1272] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [1331] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [1331] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42 -> [1332] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [1333] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [1332] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [1333] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42 -> [2003] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [2004] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [2004] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [2003] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [3087] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_12_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_12_6))) | (unequally_directed_lines(skolem_N7979, N34_12_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_12_6)))))
% 147.15/22.42
% 147.15/22.42 [3087] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_12_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_12_6))) | (unequally_directed_lines(skolem_N7979, N34_12_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_12_6)))))
% 147.15/22.42 -> [3090] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [3091] ((unequally_directed_lines(skolem_M7878, N34_12_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_12_6))) | (unequally_directed_lines(skolem_N7979, N34_12_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_12_6))))
% 147.15/22.42
% 147.15/22.42 [3090] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [3119] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [3120] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3119] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [3120] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3091] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_12_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_12_6))) | (unequally_directed_lines(skolem_N7979, N34_12_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_12_6))))
% 147.15/22.42 -> [4449] (unequally_directed_lines(skolem_M7878, N34_12_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_12_6)))
% 147.15/22.42 -> [4450] (unequally_directed_lines(skolem_N7979, N34_12_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_12_6)))
% 147.15/22.42
% 147.15/22.42 [4449] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_12_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_12_6)))
% 147.15/22.42 -> [4466] unequally_directed_lines(skolem_M7878, N34_12_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_12_6))
% 147.15/22.42
% 147.15/22.42 [4466] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [4705] ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.15/22.42
% 147.15/22.42 [4705] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.15/22.42 -> [4708] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.42 -> [4709] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.42
% 147.15/22.42 [4708] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.42 -> [4758] ~line(skolem_L7777)
% 147.15/22.42 -> [4759] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.42
% 147.15/22.42 [4759] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [4907] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [4907] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [4910] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [4911] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [4910] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [4988] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [4989] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [4989] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [4988] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [4911] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [4916] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [4917] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [4917] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5146] ~(left_apart_point(A39_139_9, L40_139_9) | left_apart_point(A39_139_9, reverse_line(L40_139_9)))
% 147.15/22.42
% 147.15/22.42 [5146] ALPHA_NOT_OR : ~(left_apart_point(A39_139_9, L40_139_9) | left_apart_point(A39_139_9, reverse_line(L40_139_9)))
% 147.15/22.42 -> [5150] ~left_apart_point(A39_139_9, L40_139_9), ~left_apart_point(A39_139_9, reverse_line(L40_139_9))
% 147.15/22.42
% 147.15/22.42 [5150] CLOSURE : ~left_apart_point(A39_139_9, L40_139_9)
% 147.15/22.42
% 147.15/22.42 [4916] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5204] ~(left_apart_point(A39_151_9, L40_151_9) | left_apart_point(A39_151_9, reverse_line(L40_151_9)))
% 147.15/22.42
% 147.15/22.42 [5204] ALPHA_NOT_OR : ~(left_apart_point(A39_151_9, L40_151_9) | left_apart_point(A39_151_9, reverse_line(L40_151_9)))
% 147.15/22.42 -> [5205] ~left_apart_point(A39_151_9, L40_151_9), ~left_apart_point(A39_151_9, reverse_line(L40_151_9))
% 147.15/22.42
% 147.15/22.42 [5205] CLOSURE : ~left_apart_point(A39_151_9, L40_151_9)
% 147.15/22.42
% 147.15/22.42 [4758] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [4980] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [4980] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [4981] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [4982] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [4981] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5049] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [5050] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5050] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5049] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [4982] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [4985] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [4986] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [4986] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5177] ~(left_apart_point(A39_146_9, L40_146_9) | left_apart_point(A39_146_9, reverse_line(L40_146_9)))
% 147.15/22.42
% 147.15/22.42 [5177] ALPHA_NOT_OR : ~(left_apart_point(A39_146_9, L40_146_9) | left_apart_point(A39_146_9, reverse_line(L40_146_9)))
% 147.15/22.42 -> [5178] ~left_apart_point(A39_146_9, L40_146_9), ~left_apart_point(A39_146_9, reverse_line(L40_146_9))
% 147.15/22.42
% 147.15/22.42 [5178] CLOSURE : ~left_apart_point(A39_146_9, L40_146_9)
% 147.15/22.42
% 147.15/22.42 [4985] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5196] ~(left_apart_point(A39_150_9, L40_150_9) | left_apart_point(A39_150_9, reverse_line(L40_150_9)))
% 147.15/22.42
% 147.15/22.42 [5196] ALPHA_NOT_OR : ~(left_apart_point(A39_150_9, L40_150_9) | left_apart_point(A39_150_9, reverse_line(L40_150_9)))
% 147.15/22.42 -> [5198] ~left_apart_point(A39_150_9, L40_150_9), ~left_apart_point(A39_150_9, reverse_line(L40_150_9))
% 147.15/22.42
% 147.15/22.42 [5198] CLOSURE : ~left_apart_point(A39_150_9, L40_150_9)
% 147.15/22.42
% 147.15/22.42 [4709] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.42 -> [4711] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.42 -> [4712] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.42
% 147.15/22.42 [4711] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.42
% 147.15/22.42 [4712] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [5578] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [5578] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [5581] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5582] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [5582] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5587] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [5588] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5587] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5659] ~(left_apart_point(A39_189_9, L40_189_9) | left_apart_point(A39_189_9, reverse_line(L40_189_9)))
% 147.15/22.42
% 147.15/22.42 [5659] ALPHA_NOT_OR : ~(left_apart_point(A39_189_9, L40_189_9) | left_apart_point(A39_189_9, reverse_line(L40_189_9)))
% 147.15/22.42 -> [5661] ~left_apart_point(A39_189_9, L40_189_9), ~left_apart_point(A39_189_9, reverse_line(L40_189_9))
% 147.15/22.42
% 147.15/22.42 [5661] CLOSURE : ~left_apart_point(A39_189_9, L40_189_9)
% 147.15/22.42
% 147.15/22.42 [5588] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5637] ~(left_apart_point(A39_182_9, L40_182_9) | left_apart_point(A39_182_9, reverse_line(L40_182_9)))
% 147.15/22.42
% 147.15/22.42 [5637] ALPHA_NOT_OR : ~(left_apart_point(A39_182_9, L40_182_9) | left_apart_point(A39_182_9, reverse_line(L40_182_9)))
% 147.15/22.42 -> [5639] ~left_apart_point(A39_182_9, L40_182_9), ~left_apart_point(A39_182_9, reverse_line(L40_182_9))
% 147.15/22.42
% 147.15/22.42 [5639] CLOSURE : ~left_apart_point(A39_182_9, L40_182_9)
% 147.15/22.42
% 147.15/22.42 [5581] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5596] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [5597] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5597] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5596] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [4450] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_12_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_12_6)))
% 147.15/22.42 -> [4453] unequally_directed_lines(skolem_N7979, N34_12_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_12_6))
% 147.15/22.42
% 147.15/22.42 [4453] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [4695] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [4695] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42 -> [4696] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.42 -> [4697] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [4696] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.42 -> [4752] ~line(reverse_line(skolem_N7979))
% 147.15/22.42 -> [4753] ~line(skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [4752] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [4959] ((unequally_directed_lines(skolem_N7979, M38_70_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_70_8))) => (left_convergent_lines(skolem_N7979, M38_70_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_70_8))))
% 147.15/22.42
% 147.15/22.42 [4959] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_70_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_70_8))) => (left_convergent_lines(skolem_N7979, M38_70_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_70_8))))
% 147.15/22.42 -> [4960] ~(unequally_directed_lines(skolem_N7979, M38_70_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_70_8)))
% 147.15/22.42 -> [4961] (left_convergent_lines(skolem_N7979, M38_70_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_70_8)))
% 147.15/22.42
% 147.15/22.42 [4961] BETA_OR : (left_convergent_lines(skolem_N7979, M38_70_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_70_8)))
% 147.15/22.42 -> [4962] left_convergent_lines(skolem_N7979, M38_70_8)
% 147.15/22.42 -> [4963] left_convergent_lines(skolem_N7979, reverse_line(M38_70_8))
% 147.15/22.42
% 147.15/22.42 [4963] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5166] ~(left_apart_point(A39_144_9, L40_144_9) | left_apart_point(A39_144_9, reverse_line(L40_144_9)))
% 147.15/22.42
% 147.15/22.42 [5166] ALPHA_NOT_OR : ~(left_apart_point(A39_144_9, L40_144_9) | left_apart_point(A39_144_9, reverse_line(L40_144_9)))
% 147.15/22.42 -> [5167] ~left_apart_point(A39_144_9, L40_144_9), ~left_apart_point(A39_144_9, reverse_line(L40_144_9))
% 147.15/22.42
% 147.15/22.42 [5167] CLOSURE : ~left_apart_point(A39_144_9, L40_144_9)
% 147.15/22.42
% 147.15/22.42 [4962] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5182] ~(left_apart_point(A39_147_9, L40_147_9) | left_apart_point(A39_147_9, reverse_line(L40_147_9)))
% 147.15/22.42
% 147.15/22.42 [5182] ALPHA_NOT_OR : ~(left_apart_point(A39_147_9, L40_147_9) | left_apart_point(A39_147_9, reverse_line(L40_147_9)))
% 147.15/22.42 -> [5184] ~left_apart_point(A39_147_9, L40_147_9), ~left_apart_point(A39_147_9, reverse_line(L40_147_9))
% 147.15/22.42
% 147.15/22.42 [5184] CLOSURE : ~left_apart_point(A39_147_9, L40_147_9)
% 147.15/22.42
% 147.15/22.42 [4960] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_70_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_70_8)))
% 147.15/22.42 -> [5034] ~unequally_directed_lines(skolem_N7979, M38_70_8)
% 147.15/22.42 -> [5035] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_70_8))
% 147.15/22.42
% 147.15/22.42 [5035] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_70_8))
% 147.15/22.42
% 147.15/22.42 [5034] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_70_8)
% 147.15/22.42
% 147.15/22.42 [4753] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [4964] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [4964] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42 -> [4965] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [4966] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [4966] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [4970] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [4971] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4971] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5171] ~(left_apart_point(A39_145_9, L40_145_9) | left_apart_point(A39_145_9, reverse_line(L40_145_9)))
% 147.15/22.42
% 147.15/22.42 [5171] ALPHA_NOT_OR : ~(left_apart_point(A39_145_9, L40_145_9) | left_apart_point(A39_145_9, reverse_line(L40_145_9)))
% 147.15/22.42 -> [5172] ~left_apart_point(A39_145_9, L40_145_9), ~left_apart_point(A39_145_9, reverse_line(L40_145_9))
% 147.15/22.42
% 147.15/22.42 [5172] CLOSURE : ~left_apart_point(A39_145_9, L40_145_9)
% 147.15/22.42
% 147.15/22.42 [4970] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5187] ~(left_apart_point(A39_148_9, L40_148_9) | left_apart_point(A39_148_9, reverse_line(L40_148_9)))
% 147.15/22.42
% 147.15/22.42 [5187] ALPHA_NOT_OR : ~(left_apart_point(A39_148_9, L40_148_9) | left_apart_point(A39_148_9, reverse_line(L40_148_9)))
% 147.15/22.42 -> [5189] ~left_apart_point(A39_148_9, L40_148_9), ~left_apart_point(A39_148_9, reverse_line(L40_148_9))
% 147.15/22.42
% 147.15/22.42 [5189] CLOSURE : ~left_apart_point(A39_148_9, L40_148_9)
% 147.15/22.42
% 147.15/22.42 [4965] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [5038] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [5039] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [5039] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [5038] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [4697] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42 -> [4699] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.42 -> [4700] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4700] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4699] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [7525] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [7525] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42 -> [7526] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [7527] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [7526] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [7550] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [7551] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [7551] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [7550] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [7527] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [7532] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [7533] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [7533] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7619] ~(left_apart_point(A39_377_9, L40_377_9) | left_apart_point(A39_377_9, reverse_line(L40_377_9)))
% 147.15/22.42
% 147.15/22.42 [7619] ALPHA_NOT_OR : ~(left_apart_point(A39_377_9, L40_377_9) | left_apart_point(A39_377_9, reverse_line(L40_377_9)))
% 147.15/22.42 -> [7622] ~left_apart_point(A39_377_9, L40_377_9), ~left_apart_point(A39_377_9, reverse_line(L40_377_9))
% 147.15/22.42
% 147.15/22.42 [7622] CLOSURE : ~left_apart_point(A39_377_9, L40_377_9)
% 147.15/22.42
% 147.15/22.42 [7532] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7659] ~(left_apart_point(A39_381_9, L40_381_9) | left_apart_point(A39_381_9, reverse_line(L40_381_9)))
% 147.15/22.42
% 147.15/22.42 [7659] ALPHA_NOT_OR : ~(left_apart_point(A39_381_9, L40_381_9) | left_apart_point(A39_381_9, reverse_line(L40_381_9)))
% 147.15/22.42 -> [7663] ~left_apart_point(A39_381_9, L40_381_9), ~left_apart_point(A39_381_9, reverse_line(L40_381_9))
% 147.15/22.42
% 147.15/22.42 [7663] CLOSURE : ~left_apart_point(A39_381_9, L40_381_9)
% 147.15/22.42
% 147.15/22.42 [430] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [459] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [459] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [537] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.42
% 147.15/22.42 [537] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.42 -> [540] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [541] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.42
% 147.15/22.42 [540] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [541] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.42 -> [1874] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [1875] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1875] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1874] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [2888] ~distinct_lines(N27_85_3, N27_85_3)
% 147.15/22.42
% 147.15/22.42 [2888] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [2911] (distinct_lines(N27_85_3, N27_85_3) => (distinct_lines(N27_85_3, N27_85_3) | distinct_lines(N27_85_3, N27_85_3)))
% 147.15/22.42
% 147.15/22.42 [2911] BETA_IMPLY : (distinct_lines(N27_85_3, N27_85_3) => (distinct_lines(N27_85_3, N27_85_3) | distinct_lines(N27_85_3, N27_85_3)))
% 147.15/22.42 -> [2912] ~distinct_lines(N27_85_3, N27_85_3)
% 147.15/22.42 -> [2913] (distinct_lines(N27_85_3, N27_85_3) | distinct_lines(N27_85_3, N27_85_3))
% 147.15/22.42
% 147.15/22.42 [2913] BETA_OR : (distinct_lines(N27_85_3, N27_85_3) | distinct_lines(N27_85_3, N27_85_3))
% 147.15/22.42 -> [2914] distinct_lines(N27_85_3, N27_85_3)
% 147.15/22.42 -> [2915] distinct_lines(N27_85_3, N27_85_3)
% 147.15/22.42
% 147.15/22.42 [2915] CLOSURE : distinct_lines(N27_85_3, N27_85_3)
% 147.15/22.42
% 147.15/22.42 [2914] CLOSURE : distinct_lines(N27_85_3, N27_85_3)
% 147.15/22.42
% 147.15/22.42 [2912] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [2978] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [2978] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [3061] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [3061] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42 -> [3062] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [3063] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [3062] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3063] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42 -> [4636] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [4637] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4637] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4636] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [4683] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_55_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_55_6))) | (unequally_directed_lines(skolem_N7979, N34_55_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_55_6)))))
% 147.15/22.42
% 147.15/22.42 [4683] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_55_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_55_6))) | (unequally_directed_lines(skolem_N7979, N34_55_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_55_6)))))
% 147.15/22.42 -> [4686] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [4687] ((unequally_directed_lines(skolem_M7878, N34_55_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_55_6))) | (unequally_directed_lines(skolem_N7979, N34_55_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_55_6))))
% 147.15/22.42
% 147.15/22.42 [4686] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [4701] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [4702] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4702] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4701] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [4687] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_55_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_55_6))) | (unequally_directed_lines(skolem_N7979, N34_55_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_55_6))))
% 147.15/22.42 -> [5416] (unequally_directed_lines(skolem_M7878, N34_55_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_55_6)))
% 147.15/22.42 -> [5417] (unequally_directed_lines(skolem_N7979, N34_55_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_55_6)))
% 147.15/22.42
% 147.15/22.42 [5416] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_55_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_55_6)))
% 147.15/22.42 -> [5478] unequally_directed_lines(skolem_M7878, N34_55_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_55_6))
% 147.15/22.42
% 147.15/22.42 [5478] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [5918] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.42
% 147.15/22.42 [5918] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.42 -> [5919] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42 -> [5920] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.42
% 147.15/22.42 [5919] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42 -> [6002] ~line(skolem_L7777)
% 147.15/22.42 -> [6003] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [6003] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [6341] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [6341] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [6346] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6347] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [6347] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6353] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [6354] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6354] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7715] ~(left_apart_point(A39_384_9, L40_384_9) | left_apart_point(A39_384_9, reverse_line(L40_384_9)))
% 147.15/22.42
% 147.15/22.42 [7715] ALPHA_NOT_OR : ~(left_apart_point(A39_384_9, L40_384_9) | left_apart_point(A39_384_9, reverse_line(L40_384_9)))
% 147.15/22.42 -> [7718] ~left_apart_point(A39_384_9, L40_384_9), ~left_apart_point(A39_384_9, reverse_line(L40_384_9))
% 147.15/22.42
% 147.15/22.42 [7718] CLOSURE : ~left_apart_point(A39_384_9, L40_384_9)
% 147.15/22.42
% 147.15/22.42 [6353] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7765] ~(left_apart_point(A39_388_9, L40_388_9) | left_apart_point(A39_388_9, reverse_line(L40_388_9)))
% 147.15/22.42
% 147.15/22.42 [7765] ALPHA_NOT_OR : ~(left_apart_point(A39_388_9, L40_388_9) | left_apart_point(A39_388_9, reverse_line(L40_388_9)))
% 147.15/22.42 -> [7768] ~left_apart_point(A39_388_9, L40_388_9), ~left_apart_point(A39_388_9, reverse_line(L40_388_9))
% 147.15/22.42
% 147.15/22.42 [7768] CLOSURE : ~left_apart_point(A39_388_9, L40_388_9)
% 147.15/22.42
% 147.15/22.42 [6346] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7522] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [7523] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [7523] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [7522] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [6002] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [7514] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [7514] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [7515] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7516] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [7515] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7539] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [7540] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [7540] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [7539] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [7516] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7519] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [7520] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [7519] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7772] ~(left_apart_point(A39_389_9, L40_389_9) | left_apart_point(A39_389_9, reverse_line(L40_389_9)))
% 147.15/22.42
% 147.15/22.42 [7772] ALPHA_NOT_OR : ~(left_apart_point(A39_389_9, L40_389_9) | left_apart_point(A39_389_9, reverse_line(L40_389_9)))
% 147.15/22.42 -> [7775] ~left_apart_point(A39_389_9, L40_389_9), ~left_apart_point(A39_389_9, reverse_line(L40_389_9))
% 147.15/22.42
% 147.15/22.42 [7775] CLOSURE : ~left_apart_point(A39_389_9, L40_389_9)
% 147.15/22.42
% 147.15/22.42 [7520] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7660] ~(left_apart_point(A39_382_9, L40_382_9) | left_apart_point(A39_382_9, reverse_line(L40_382_9)))
% 147.15/22.42
% 147.15/22.42 [7660] ALPHA_NOT_OR : ~(left_apart_point(A39_382_9, L40_382_9) | left_apart_point(A39_382_9, reverse_line(L40_382_9)))
% 147.15/22.42 -> [7664] ~left_apart_point(A39_382_9, L40_382_9), ~left_apart_point(A39_382_9, reverse_line(L40_382_9))
% 147.15/22.42
% 147.15/22.42 [7664] CLOSURE : ~left_apart_point(A39_382_9, L40_382_9)
% 147.15/22.42
% 147.15/22.42 [5920] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.42 -> [5921] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.42 -> [5922] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42
% 147.15/22.42 [5921] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [5922] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [10526] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [10526] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [10528] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [10529] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [10529] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [10530] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [10531] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [10530] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [10596] ~(left_apart_point(A39_767_9, L40_767_9) | left_apart_point(A39_767_9, reverse_line(L40_767_9)))
% 147.15/22.42
% 147.15/22.42 [10596] ALPHA_NOT_OR : ~(left_apart_point(A39_767_9, L40_767_9) | left_apart_point(A39_767_9, reverse_line(L40_767_9)))
% 147.15/22.42 -> [10599] ~left_apart_point(A39_767_9, L40_767_9), ~left_apart_point(A39_767_9, reverse_line(L40_767_9))
% 147.15/22.42
% 147.15/22.42 [10599] CLOSURE : ~left_apart_point(A39_767_9, L40_767_9)
% 147.15/22.42
% 147.15/22.42 [10531] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [10569] ~(left_apart_point(A39_763_9, L40_763_9) | left_apart_point(A39_763_9, reverse_line(L40_763_9)))
% 147.15/22.42
% 147.15/22.42 [10569] ALPHA_NOT_OR : ~(left_apart_point(A39_763_9, L40_763_9) | left_apart_point(A39_763_9, reverse_line(L40_763_9)))
% 147.15/22.42 -> [10572] ~left_apart_point(A39_763_9, L40_763_9), ~left_apart_point(A39_763_9, reverse_line(L40_763_9))
% 147.15/22.42
% 147.15/22.42 [10572] CLOSURE : ~left_apart_point(A39_763_9, L40_763_9)
% 147.15/22.42
% 147.15/22.42 [10528] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [10540] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [10541] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [10541] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [10540] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [5417] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_55_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_55_6)))
% 147.15/22.42 -> [5423] unequally_directed_lines(skolem_N7979, N34_55_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_55_6))
% 147.15/22.42
% 147.15/22.42 [5423] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [5867] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.42
% 147.15/22.42 [5867] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.42 -> [5871] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42 -> [5872] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.42
% 147.15/22.42 [5871] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42 -> [5926] ~line(skolem_L7777)
% 147.15/22.42 -> [5927] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [5926] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [6372] ((unequally_directed_lines(skolem_N7979, M38_144_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_144_8))) => (left_convergent_lines(skolem_N7979, M38_144_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_144_8))))
% 147.15/22.42
% 147.15/22.42 [6372] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_144_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_144_8))) => (left_convergent_lines(skolem_N7979, M38_144_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_144_8))))
% 147.15/22.42 -> [6373] ~(unequally_directed_lines(skolem_N7979, M38_144_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_144_8)))
% 147.15/22.42 -> [6374] (left_convergent_lines(skolem_N7979, M38_144_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_144_8)))
% 147.15/22.42
% 147.15/22.42 [6374] BETA_OR : (left_convergent_lines(skolem_N7979, M38_144_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_144_8)))
% 147.15/22.42 -> [6377] left_convergent_lines(skolem_N7979, M38_144_8)
% 147.15/22.42 -> [6378] left_convergent_lines(skolem_N7979, reverse_line(M38_144_8))
% 147.15/22.42
% 147.15/22.42 [6378] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7828] ~(left_apart_point(A39_399_9, L40_399_9) | left_apart_point(A39_399_9, reverse_line(L40_399_9)))
% 147.15/22.42
% 147.15/22.42 [7828] ALPHA_NOT_OR : ~(left_apart_point(A39_399_9, L40_399_9) | left_apart_point(A39_399_9, reverse_line(L40_399_9)))
% 147.15/22.42 -> [7830] ~left_apart_point(A39_399_9, L40_399_9), ~left_apart_point(A39_399_9, reverse_line(L40_399_9))
% 147.15/22.42
% 147.15/22.42 [7830] CLOSURE : ~left_apart_point(A39_399_9, L40_399_9)
% 147.15/22.42
% 147.15/22.42 [6377] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7832] ~(left_apart_point(A39_400_9, L40_400_9) | left_apart_point(A39_400_9, reverse_line(L40_400_9)))
% 147.15/22.42
% 147.15/22.42 [7832] ALPHA_NOT_OR : ~(left_apart_point(A39_400_9, L40_400_9) | left_apart_point(A39_400_9, reverse_line(L40_400_9)))
% 147.15/22.42 -> [7834] ~left_apart_point(A39_400_9, L40_400_9), ~left_apart_point(A39_400_9, reverse_line(L40_400_9))
% 147.15/22.42
% 147.15/22.42 [7834] CLOSURE : ~left_apart_point(A39_400_9, L40_400_9)
% 147.15/22.42
% 147.15/22.42 [6373] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_144_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_144_8)))
% 147.15/22.42 -> [7604] ~unequally_directed_lines(skolem_N7979, M38_144_8)
% 147.15/22.42 -> [7605] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_144_8))
% 147.15/22.42
% 147.15/22.42 [7605] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_144_8))
% 147.15/22.42
% 147.15/22.42 [7604] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_144_8)
% 147.15/22.42
% 147.15/22.42 [5927] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [6237] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [6237] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [6241] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6242] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [6242] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6247] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [6248] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6247] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7712] ~(left_apart_point(A39_383_9, L40_383_9) | left_apart_point(A39_383_9, reverse_line(L40_383_9)))
% 147.15/22.42
% 147.15/22.42 [7712] ALPHA_NOT_OR : ~(left_apart_point(A39_383_9, L40_383_9) | left_apart_point(A39_383_9, reverse_line(L40_383_9)))
% 147.15/22.42 -> [7713] ~left_apart_point(A39_383_9, L40_383_9), ~left_apart_point(A39_383_9, reverse_line(L40_383_9))
% 147.15/22.42
% 147.15/22.42 [7713] CLOSURE : ~left_apart_point(A39_383_9, L40_383_9)
% 147.15/22.42
% 147.15/22.42 [6248] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7783] ~(left_apart_point(A39_391_9, L40_391_9) | left_apart_point(A39_391_9, reverse_line(L40_391_9)))
% 147.15/22.42
% 147.15/22.42 [7783] ALPHA_NOT_OR : ~(left_apart_point(A39_391_9, L40_391_9) | left_apart_point(A39_391_9, reverse_line(L40_391_9)))
% 147.15/22.42 -> [7788] ~left_apart_point(A39_391_9, L40_391_9), ~left_apart_point(A39_391_9, reverse_line(L40_391_9))
% 147.15/22.42
% 147.15/22.42 [7788] CLOSURE : ~left_apart_point(A39_391_9, L40_391_9)
% 147.15/22.42
% 147.15/22.42 [6241] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6384] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [6385] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6384] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [6385] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5872] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.42 -> [5875] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.42 -> [5876] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42
% 147.15/22.42 [5875] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [5876] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [9912] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [9912] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42 -> [9914] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [9915] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [9915] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [9921] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [9922] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [9922] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [10029] ~(left_apart_point(A39_689_9, L40_689_9) | left_apart_point(A39_689_9, reverse_line(L40_689_9)))
% 147.15/22.42
% 147.15/22.42 [10029] ALPHA_NOT_OR : ~(left_apart_point(A39_689_9, L40_689_9) | left_apart_point(A39_689_9, reverse_line(L40_689_9)))
% 147.15/22.42 -> [10032] ~left_apart_point(A39_689_9, L40_689_9), ~left_apart_point(A39_689_9, reverse_line(L40_689_9))
% 147.15/22.42
% 147.15/22.42 [10032] CLOSURE : ~left_apart_point(A39_689_9, L40_689_9)
% 147.15/22.42
% 147.15/22.42 [9921] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [10046] ~(left_apart_point(A39_690_9, L40_690_9) | left_apart_point(A39_690_9, reverse_line(L40_690_9)))
% 147.15/22.42
% 147.15/22.42 [10046] ALPHA_NOT_OR : ~(left_apart_point(A39_690_9, L40_690_9) | left_apart_point(A39_690_9, reverse_line(L40_690_9)))
% 147.15/22.42 -> [10048] ~left_apart_point(A39_690_9, L40_690_9), ~left_apart_point(A39_690_9, reverse_line(L40_690_9))
% 147.15/22.42
% 147.15/22.42 [10048] CLOSURE : ~left_apart_point(A39_690_9, L40_690_9)
% 147.15/22.42
% 147.15/22.42 [9914] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [9953] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [9954] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [9954] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [9953] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [297] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42 -> [305] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [305] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.42 -> [553] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.42 -> [554] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [553] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42 -> [600] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.42 -> [601] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [601] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [1248] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1248] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [1264] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.42
% 147.15/22.42 [1264] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.42 -> [1265] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [1266] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.42
% 147.15/22.42 [1265] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1266] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.42 -> [1883] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [1884] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1884] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1883] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [2017] ~distinct_lines(N27_40_3, N27_40_3)
% 147.15/22.42
% 147.15/22.42 [2017] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [2077] (distinct_lines(N27_40_3, N27_40_3) => (distinct_lines(N27_40_3, N27_40_3) | distinct_lines(N27_40_3, N27_40_3)))
% 147.15/22.42
% 147.15/22.42 [2077] BETA_IMPLY : (distinct_lines(N27_40_3, N27_40_3) => (distinct_lines(N27_40_3, N27_40_3) | distinct_lines(N27_40_3, N27_40_3)))
% 147.15/22.42 -> [2078] ~distinct_lines(N27_40_3, N27_40_3)
% 147.15/22.42 -> [2079] (distinct_lines(N27_40_3, N27_40_3) | distinct_lines(N27_40_3, N27_40_3))
% 147.15/22.42
% 147.15/22.42 [2079] BETA_OR : (distinct_lines(N27_40_3, N27_40_3) | distinct_lines(N27_40_3, N27_40_3))
% 147.15/22.42 -> [2083] distinct_lines(N27_40_3, N27_40_3)
% 147.15/22.42 -> [2084] distinct_lines(N27_40_3, N27_40_3)
% 147.15/22.42
% 147.15/22.42 [2084] CLOSURE : distinct_lines(N27_40_3, N27_40_3)
% 147.15/22.42
% 147.15/22.42 [2083] CLOSURE : distinct_lines(N27_40_3, N27_40_3)
% 147.15/22.42
% 147.15/22.42 [2078] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [2166] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [2166] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [2285] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [2285] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42 -> [2287] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [2288] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [2287] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [2288] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42 -> [4481] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [4482] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4482] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4481] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [5503] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_71_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_71_6))) | (unequally_directed_lines(skolem_N7979, N34_71_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_71_6)))))
% 147.15/22.42
% 147.15/22.42 [5503] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_71_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_71_6))) | (unequally_directed_lines(skolem_N7979, N34_71_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_71_6)))))
% 147.15/22.42 -> [5512] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [5513] ((unequally_directed_lines(skolem_M7878, N34_71_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_71_6))) | (unequally_directed_lines(skolem_N7979, N34_71_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_71_6))))
% 147.15/22.42
% 147.15/22.42 [5512] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [5527] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [5528] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [5528] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [5527] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [5513] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_71_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_71_6))) | (unequally_directed_lines(skolem_N7979, N34_71_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_71_6))))
% 147.15/22.42 -> [6480] (unequally_directed_lines(skolem_M7878, N34_71_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_71_6)))
% 147.15/22.42 -> [6481] (unequally_directed_lines(skolem_N7979, N34_71_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_71_6)))
% 147.15/22.42
% 147.15/22.42 [6480] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_71_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_71_6)))
% 147.15/22.42 -> [6486] unequally_directed_lines(skolem_M7878, N34_71_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_71_6))
% 147.15/22.42
% 147.15/22.42 [6486] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [6520] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.42
% 147.15/22.42 [6520] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.42 -> [6524] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42 -> [6525] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.42
% 147.15/22.42 [6524] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42 -> [6549] ~line(skolem_L7777)
% 147.15/22.42 -> [6550] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [6550] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [6610] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [6610] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [6611] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6612] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [6611] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6671] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [6672] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6672] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6671] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [6612] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6616] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [6617] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6617] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [6780] ~(left_apart_point(A39_268_9, L40_268_9) | left_apart_point(A39_268_9, reverse_line(L40_268_9)))
% 147.15/22.42
% 147.15/22.42 [6780] ALPHA_NOT_OR : ~(left_apart_point(A39_268_9, L40_268_9) | left_apart_point(A39_268_9, reverse_line(L40_268_9)))
% 147.15/22.42 -> [6781] ~left_apart_point(A39_268_9, L40_268_9), ~left_apart_point(A39_268_9, reverse_line(L40_268_9))
% 147.15/22.42
% 147.15/22.42 [6781] CLOSURE : ~left_apart_point(A39_268_9, L40_268_9)
% 147.15/22.42
% 147.15/22.42 [6616] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [6813] ~(left_apart_point(A39_278_9, L40_278_9) | left_apart_point(A39_278_9, reverse_line(L40_278_9)))
% 147.15/22.42
% 147.15/22.42 [6813] ALPHA_NOT_OR : ~(left_apart_point(A39_278_9, L40_278_9) | left_apart_point(A39_278_9, reverse_line(L40_278_9)))
% 147.15/22.42 -> [6815] ~left_apart_point(A39_278_9, L40_278_9), ~left_apart_point(A39_278_9, reverse_line(L40_278_9))
% 147.15/22.42
% 147.15/22.42 [6815] CLOSURE : ~left_apart_point(A39_278_9, L40_278_9)
% 147.15/22.42
% 147.15/22.42 [6549] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [6643] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [6643] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [6646] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6647] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [6646] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6715] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [6716] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6716] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6715] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [6647] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6659] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [6660] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6660] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7028] ~(left_apart_point(A39_315_9, L40_315_9) | left_apart_point(A39_315_9, reverse_line(L40_315_9)))
% 147.15/22.42
% 147.15/22.42 [7028] ALPHA_NOT_OR : ~(left_apart_point(A39_315_9, L40_315_9) | left_apart_point(A39_315_9, reverse_line(L40_315_9)))
% 147.15/22.42 -> [7029] ~left_apart_point(A39_315_9, L40_315_9), ~left_apart_point(A39_315_9, reverse_line(L40_315_9))
% 147.15/22.42
% 147.15/22.42 [7029] CLOSURE : ~left_apart_point(A39_315_9, L40_315_9)
% 147.15/22.42
% 147.15/22.42 [6659] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7161] ~(left_apart_point(A39_328_9, L40_328_9) | left_apart_point(A39_328_9, reverse_line(L40_328_9)))
% 147.15/22.42
% 147.15/22.42 [7161] ALPHA_NOT_OR : ~(left_apart_point(A39_328_9, L40_328_9) | left_apart_point(A39_328_9, reverse_line(L40_328_9)))
% 147.15/22.42 -> [7163] ~left_apart_point(A39_328_9, L40_328_9), ~left_apart_point(A39_328_9, reverse_line(L40_328_9))
% 147.15/22.42
% 147.15/22.42 [7163] CLOSURE : ~left_apart_point(A39_328_9, L40_328_9)
% 147.15/22.42
% 147.15/22.42 [6525] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.42 -> [6529] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.42 -> [6530] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42
% 147.15/22.42 [6529] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [6530] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [6946] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [6946] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [6947] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6948] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [6947] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6957] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [6958] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6958] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6957] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [6948] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6950] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [6951] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6950] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [6998] ~(left_apart_point(A39_312_9, L40_312_9) | left_apart_point(A39_312_9, reverse_line(L40_312_9)))
% 147.15/22.42
% 147.15/22.42 [6998] ALPHA_NOT_OR : ~(left_apart_point(A39_312_9, L40_312_9) | left_apart_point(A39_312_9, reverse_line(L40_312_9)))
% 147.15/22.42 -> [7000] ~left_apart_point(A39_312_9, L40_312_9), ~left_apart_point(A39_312_9, reverse_line(L40_312_9))
% 147.15/22.42
% 147.15/22.42 [7000] CLOSURE : ~left_apart_point(A39_312_9, L40_312_9)
% 147.15/22.42
% 147.15/22.42 [6951] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7537] ~(left_apart_point(A39_363_9, L40_363_9) | left_apart_point(A39_363_9, reverse_line(L40_363_9)))
% 147.15/22.42
% 147.15/22.42 [7537] ALPHA_NOT_OR : ~(left_apart_point(A39_363_9, L40_363_9) | left_apart_point(A39_363_9, reverse_line(L40_363_9)))
% 147.15/22.42 -> [7538] ~left_apart_point(A39_363_9, L40_363_9), ~left_apart_point(A39_363_9, reverse_line(L40_363_9))
% 147.15/22.42
% 147.15/22.42 [7538] CLOSURE : ~left_apart_point(A39_363_9, L40_363_9)
% 147.15/22.42
% 147.15/22.42 [6481] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_71_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_71_6)))
% 147.15/22.42 -> [6484] unequally_directed_lines(skolem_N7979, N34_71_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_71_6))
% 147.15/22.42
% 147.15/22.42 [6484] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [6505] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [6505] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42 -> [6508] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.42 -> [6509] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [6508] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.42 -> [6540] ~line(reverse_line(skolem_N7979))
% 147.15/22.42 -> [6541] ~line(skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [6540] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [6622] ((unequally_directed_lines(skolem_N7979, M38_157_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_157_8))) => (left_convergent_lines(skolem_N7979, M38_157_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_157_8))))
% 147.15/22.42
% 147.15/22.42 [6622] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_157_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_157_8))) => (left_convergent_lines(skolem_N7979, M38_157_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_157_8))))
% 147.15/22.42 -> [6625] ~(unequally_directed_lines(skolem_N7979, M38_157_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_157_8)))
% 147.15/22.42 -> [6626] (left_convergent_lines(skolem_N7979, M38_157_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_157_8)))
% 147.15/22.42
% 147.15/22.42 [6625] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_157_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_157_8)))
% 147.15/22.42 -> [6687] ~unequally_directed_lines(skolem_N7979, M38_157_8)
% 147.15/22.42 -> [6688] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_157_8))
% 147.15/22.42
% 147.15/22.42 [6688] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_157_8))
% 147.15/22.42
% 147.15/22.42 [6687] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_157_8)
% 147.15/22.42
% 147.15/22.42 [6626] BETA_OR : (left_convergent_lines(skolem_N7979, M38_157_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_157_8)))
% 147.15/22.42 -> [6627] left_convergent_lines(skolem_N7979, M38_157_8)
% 147.15/22.42 -> [6628] left_convergent_lines(skolem_N7979, reverse_line(M38_157_8))
% 147.15/22.42
% 147.15/22.42 [6627] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [6786] ~(left_apart_point(A39_270_9, L40_270_9) | left_apart_point(A39_270_9, reverse_line(L40_270_9)))
% 147.15/22.42
% 147.15/22.42 [6786] ALPHA_NOT_OR : ~(left_apart_point(A39_270_9, L40_270_9) | left_apart_point(A39_270_9, reverse_line(L40_270_9)))
% 147.15/22.42 -> [6790] ~left_apart_point(A39_270_9, L40_270_9), ~left_apart_point(A39_270_9, reverse_line(L40_270_9))
% 147.15/22.42
% 147.15/22.42 [6790] CLOSURE : ~left_apart_point(A39_270_9, L40_270_9)
% 147.15/22.42
% 147.15/22.42 [6628] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [6914] ~(left_apart_point(A39_297_9, L40_297_9) | left_apart_point(A39_297_9, reverse_line(L40_297_9)))
% 147.15/22.42
% 147.15/22.42 [6914] ALPHA_NOT_OR : ~(left_apart_point(A39_297_9, L40_297_9) | left_apart_point(A39_297_9, reverse_line(L40_297_9)))
% 147.15/22.42 -> [7025] ~left_apart_point(A39_297_9, L40_297_9), ~left_apart_point(A39_297_9, reverse_line(L40_297_9))
% 147.15/22.42
% 147.15/22.42 [7025] CLOSURE : ~left_apart_point(A39_297_9, L40_297_9)
% 147.15/22.42
% 147.15/22.42 [6541] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [6598] ((unequally_directed_lines(skolem_N7979, M38_154_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_154_8))) => (left_convergent_lines(skolem_N7979, M38_154_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_154_8))))
% 147.15/22.42
% 147.15/22.42 [6598] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_154_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_154_8))) => (left_convergent_lines(skolem_N7979, M38_154_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_154_8))))
% 147.15/22.42 -> [6599] ~(unequally_directed_lines(skolem_N7979, M38_154_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_154_8)))
% 147.15/22.42 -> [6600] (left_convergent_lines(skolem_N7979, M38_154_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_154_8)))
% 147.15/22.42
% 147.15/22.42 [6599] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_154_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_154_8)))
% 147.15/22.42 -> [6631] ~unequally_directed_lines(skolem_N7979, M38_154_8)
% 147.15/22.42 -> [6632] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_154_8))
% 147.15/22.42
% 147.15/22.42 [6631] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_154_8)
% 147.15/22.42
% 147.15/22.42 [6632] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_154_8))
% 147.15/22.42
% 147.15/22.42 [6600] BETA_OR : (left_convergent_lines(skolem_N7979, M38_154_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_154_8)))
% 147.15/22.42 -> [6603] left_convergent_lines(skolem_N7979, M38_154_8)
% 147.15/22.42 -> [6604] left_convergent_lines(skolem_N7979, reverse_line(M38_154_8))
% 147.15/22.42
% 147.15/22.42 [6603] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7256] ~(left_apart_point(A39_334_9, L40_334_9) | left_apart_point(A39_334_9, reverse_line(L40_334_9)))
% 147.15/22.42
% 147.15/22.42 [7256] ALPHA_NOT_OR : ~(left_apart_point(A39_334_9, L40_334_9) | left_apart_point(A39_334_9, reverse_line(L40_334_9)))
% 147.15/22.42 -> [7257] ~left_apart_point(A39_334_9, L40_334_9), ~left_apart_point(A39_334_9, reverse_line(L40_334_9))
% 147.15/22.42
% 147.15/22.42 [7257] CLOSURE : ~left_apart_point(A39_334_9, L40_334_9)
% 147.15/22.42
% 147.15/22.42 [6604] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7340] ~(left_apart_point(A39_342_9, L40_342_9) | left_apart_point(A39_342_9, reverse_line(L40_342_9)))
% 147.15/22.42
% 147.15/22.42 [7340] ALPHA_NOT_OR : ~(left_apart_point(A39_342_9, L40_342_9) | left_apart_point(A39_342_9, reverse_line(L40_342_9)))
% 147.15/22.42 -> [7343] ~left_apart_point(A39_342_9, L40_342_9), ~left_apart_point(A39_342_9, reverse_line(L40_342_9))
% 147.15/22.42
% 147.15/22.42 [7343] CLOSURE : ~left_apart_point(A39_342_9, L40_342_9)
% 147.15/22.42
% 147.15/22.42 [6509] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42 -> [6512] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.42 -> [6513] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [6513] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [6512] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [7684] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [7684] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.42 -> [7685] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [7686] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [7686] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [7690] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [7691] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [7691] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7854] ~(left_apart_point(A39_405_9, L40_405_9) | left_apart_point(A39_405_9, reverse_line(L40_405_9)))
% 147.15/22.42
% 147.15/22.42 [7854] ALPHA_NOT_OR : ~(left_apart_point(A39_405_9, L40_405_9) | left_apart_point(A39_405_9, reverse_line(L40_405_9)))
% 147.15/22.42 -> [7855] ~left_apart_point(A39_405_9, L40_405_9), ~left_apart_point(A39_405_9, reverse_line(L40_405_9))
% 147.15/22.42
% 147.15/22.42 [7855] CLOSURE : ~left_apart_point(A39_405_9, L40_405_9)
% 147.15/22.42
% 147.15/22.42 [7690] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7902] ~(left_apart_point(A39_416_9, L40_416_9) | left_apart_point(A39_416_9, reverse_line(L40_416_9)))
% 147.15/22.42
% 147.15/22.42 [7902] ALPHA_NOT_OR : ~(left_apart_point(A39_416_9, L40_416_9) | left_apart_point(A39_416_9, reverse_line(L40_416_9)))
% 147.15/22.42 -> [7906] ~left_apart_point(A39_416_9, L40_416_9), ~left_apart_point(A39_416_9, reverse_line(L40_416_9))
% 147.15/22.42
% 147.15/22.42 [7906] CLOSURE : ~left_apart_point(A39_416_9, L40_416_9)
% 147.15/22.42
% 147.15/22.42 [7685] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [7721] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [7722] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [7722] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [7721] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [600] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [1256] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1256] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [1271] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.42
% 147.15/22.42 [1271] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.42 -> [1275] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [1276] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.42
% 147.15/22.42 [1275] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1276] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.42 -> [1593] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [1594] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1594] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1593] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [1684] ~distinct_lines(N27_20_3, N27_20_3)
% 147.15/22.42
% 147.15/22.42 [1684] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [1740] (distinct_lines(N27_20_3, N27_20_3) => (distinct_lines(N27_20_3, N27_20_3) | distinct_lines(N27_20_3, N27_20_3)))
% 147.15/22.42
% 147.15/22.42 [1740] BETA_IMPLY : (distinct_lines(N27_20_3, N27_20_3) => (distinct_lines(N27_20_3, N27_20_3) | distinct_lines(N27_20_3, N27_20_3)))
% 147.15/22.42 -> [1742] ~distinct_lines(N27_20_3, N27_20_3)
% 147.15/22.42 -> [1743] (distinct_lines(N27_20_3, N27_20_3) | distinct_lines(N27_20_3, N27_20_3))
% 147.15/22.42
% 147.15/22.42 [1743] BETA_OR : (distinct_lines(N27_20_3, N27_20_3) | distinct_lines(N27_20_3, N27_20_3))
% 147.15/22.42 -> [1827] distinct_lines(N27_20_3, N27_20_3)
% 147.15/22.42 -> [1828] distinct_lines(N27_20_3, N27_20_3)
% 147.15/22.42
% 147.15/22.42 [1827] CLOSURE : distinct_lines(N27_20_3, N27_20_3)
% 147.15/22.42
% 147.15/22.42 [1828] CLOSURE : distinct_lines(N27_20_3, N27_20_3)
% 147.15/22.42
% 147.15/22.42 [1742] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [1860] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [1860] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [1876] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [1876] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42 -> [1877] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [1878] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [1877] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [1878] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42 -> [3124] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [3125] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3125] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3124] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [3559] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_21_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_21_6))) | (unequally_directed_lines(skolem_N7979, N34_21_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_21_6)))))
% 147.15/22.42
% 147.15/22.42 [3559] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_21_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_21_6))) | (unequally_directed_lines(skolem_N7979, N34_21_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_21_6)))))
% 147.15/22.42 -> [3560] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [3561] ((unequally_directed_lines(skolem_M7878, N34_21_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_21_6))) | (unequally_directed_lines(skolem_N7979, N34_21_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_21_6))))
% 147.15/22.42
% 147.15/22.42 [3560] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [3570] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [3571] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3570] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [3571] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3561] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_21_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_21_6))) | (unequally_directed_lines(skolem_N7979, N34_21_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_21_6))))
% 147.15/22.42 -> [5662] (unequally_directed_lines(skolem_M7878, N34_21_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_21_6)))
% 147.15/22.42 -> [5663] (unequally_directed_lines(skolem_N7979, N34_21_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_21_6)))
% 147.15/22.42
% 147.15/22.42 [5663] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_21_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_21_6)))
% 147.15/22.42 -> [5664] unequally_directed_lines(skolem_N7979, N34_21_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_21_6))
% 147.15/22.42
% 147.15/22.42 [5664] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [6213] ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.15/22.42
% 147.15/22.42 [6213] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.15/22.42 -> [6220] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.42 -> [6221] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.42
% 147.15/22.42 [6220] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.42 -> [6366] ~line(skolem_L7777)
% 147.15/22.42 -> [6367] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.42
% 147.15/22.42 [6367] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [7035] ((unequally_directed_lines(skolem_N7979, M38_180_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_180_8))) => (left_convergent_lines(skolem_N7979, M38_180_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_180_8))))
% 147.15/22.42
% 147.15/22.42 [7035] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_180_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_180_8))) => (left_convergent_lines(skolem_N7979, M38_180_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_180_8))))
% 147.15/22.42 -> [7036] ~(unequally_directed_lines(skolem_N7979, M38_180_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_180_8)))
% 147.15/22.42 -> [7037] (left_convergent_lines(skolem_N7979, M38_180_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_180_8)))
% 147.15/22.42
% 147.15/22.42 [7037] BETA_OR : (left_convergent_lines(skolem_N7979, M38_180_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_180_8)))
% 147.15/22.42 -> [7040] left_convergent_lines(skolem_N7979, M38_180_8)
% 147.15/22.42 -> [7041] left_convergent_lines(skolem_N7979, reverse_line(M38_180_8))
% 147.15/22.42
% 147.15/22.42 [7041] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7195] ~(left_apart_point(A39_330_9, L40_330_9) | left_apart_point(A39_330_9, reverse_line(L40_330_9)))
% 147.15/22.42
% 147.15/22.42 [7195] ALPHA_NOT_OR : ~(left_apart_point(A39_330_9, L40_330_9) | left_apart_point(A39_330_9, reverse_line(L40_330_9)))
% 147.15/22.42 -> [7197] ~left_apart_point(A39_330_9, L40_330_9), ~left_apart_point(A39_330_9, reverse_line(L40_330_9))
% 147.15/22.42
% 147.15/22.42 [7197] CLOSURE : ~left_apart_point(A39_330_9, L40_330_9)
% 147.15/22.42
% 147.15/22.42 [7040] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7239] ~(left_apart_point(A39_333_9, L40_333_9) | left_apart_point(A39_333_9, reverse_line(L40_333_9)))
% 147.15/22.42
% 147.15/22.42 [7239] ALPHA_NOT_OR : ~(left_apart_point(A39_333_9, L40_333_9) | left_apart_point(A39_333_9, reverse_line(L40_333_9)))
% 147.15/22.42 -> [7243] ~left_apart_point(A39_333_9, L40_333_9), ~left_apart_point(A39_333_9, reverse_line(L40_333_9))
% 147.15/22.42
% 147.15/22.42 [7243] CLOSURE : ~left_apart_point(A39_333_9, L40_333_9)
% 147.15/22.42
% 147.15/22.42 [7036] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_180_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_180_8)))
% 147.15/22.42 -> [7085] ~unequally_directed_lines(skolem_N7979, M38_180_8)
% 147.15/22.42 -> [7086] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_180_8))
% 147.15/22.42
% 147.15/22.42 [7086] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_180_8))
% 147.15/22.42
% 147.15/22.42 [7085] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_180_8)
% 147.15/22.42
% 147.15/22.42 [6366] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [7056] ((unequally_directed_lines(skolem_N7979, M38_183_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_183_8))) => (left_convergent_lines(skolem_N7979, M38_183_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_183_8))))
% 147.15/22.42
% 147.15/22.42 [7056] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_183_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_183_8))) => (left_convergent_lines(skolem_N7979, M38_183_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_183_8))))
% 147.15/22.42 -> [7061] ~(unequally_directed_lines(skolem_N7979, M38_183_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_183_8)))
% 147.15/22.42 -> [7062] (left_convergent_lines(skolem_N7979, M38_183_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_183_8)))
% 147.15/22.42
% 147.15/22.42 [7061] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_183_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_183_8)))
% 147.15/22.42 -> [7102] ~unequally_directed_lines(skolem_N7979, M38_183_8)
% 147.15/22.42 -> [7103] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_183_8))
% 147.15/22.42
% 147.15/22.42 [7103] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_183_8))
% 147.15/22.42
% 147.15/22.42 [7102] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_183_8)
% 147.15/22.42
% 147.15/22.42 [7062] BETA_OR : (left_convergent_lines(skolem_N7979, M38_183_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_183_8)))
% 147.15/22.42 -> [7066] left_convergent_lines(skolem_N7979, M38_183_8)
% 147.15/22.42 -> [7067] left_convergent_lines(skolem_N7979, reverse_line(M38_183_8))
% 147.15/22.42
% 147.15/22.42 [7066] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7460] ~(left_apart_point(A39_356_9, L40_356_9) | left_apart_point(A39_356_9, reverse_line(L40_356_9)))
% 147.15/22.42
% 147.15/22.42 [7460] ALPHA_NOT_OR : ~(left_apart_point(A39_356_9, L40_356_9) | left_apart_point(A39_356_9, reverse_line(L40_356_9)))
% 147.15/22.42 -> [7464] ~left_apart_point(A39_356_9, L40_356_9), ~left_apart_point(A39_356_9, reverse_line(L40_356_9))
% 147.15/22.42
% 147.15/22.42 [7464] CLOSURE : ~left_apart_point(A39_356_9, L40_356_9)
% 147.15/22.42
% 147.15/22.42 [7067] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7466] ~(left_apart_point(A39_357_9, L40_357_9) | left_apart_point(A39_357_9, reverse_line(L40_357_9)))
% 147.15/22.42
% 147.15/22.42 [7466] ALPHA_NOT_OR : ~(left_apart_point(A39_357_9, L40_357_9) | left_apart_point(A39_357_9, reverse_line(L40_357_9)))
% 147.15/22.42 -> [7467] ~left_apart_point(A39_357_9, L40_357_9), ~left_apart_point(A39_357_9, reverse_line(L40_357_9))
% 147.15/22.42
% 147.15/22.42 [7467] CLOSURE : ~left_apart_point(A39_357_9, L40_357_9)
% 147.15/22.42
% 147.15/22.42 [6221] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.42 -> [6226] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.42 -> [6227] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.42
% 147.15/22.42 [6226] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.42
% 147.15/22.42 [6227] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [8003] ((unequally_directed_lines(skolem_N7979, M38_241_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_241_8))) => (left_convergent_lines(skolem_N7979, M38_241_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_241_8))))
% 147.15/22.42
% 147.15/22.42 [8003] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_241_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_241_8))) => (left_convergent_lines(skolem_N7979, M38_241_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_241_8))))
% 147.15/22.42 -> [8004] ~(unequally_directed_lines(skolem_N7979, M38_241_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_241_8)))
% 147.15/22.42 -> [8005] (left_convergent_lines(skolem_N7979, M38_241_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_241_8)))
% 147.15/22.42
% 147.15/22.42 [8005] BETA_OR : (left_convergent_lines(skolem_N7979, M38_241_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_241_8)))
% 147.15/22.42 -> [8015] left_convergent_lines(skolem_N7979, M38_241_8)
% 147.15/22.42 -> [8016] left_convergent_lines(skolem_N7979, reverse_line(M38_241_8))
% 147.15/22.42
% 147.15/22.42 [8015] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [8107] ~(left_apart_point(A39_443_9, L40_443_9) | left_apart_point(A39_443_9, reverse_line(L40_443_9)))
% 147.15/22.42
% 147.15/22.42 [8107] ALPHA_NOT_OR : ~(left_apart_point(A39_443_9, L40_443_9) | left_apart_point(A39_443_9, reverse_line(L40_443_9)))
% 147.15/22.42 -> [8108] ~left_apart_point(A39_443_9, L40_443_9), ~left_apart_point(A39_443_9, reverse_line(L40_443_9))
% 147.15/22.42
% 147.15/22.42 [8108] CLOSURE : ~left_apart_point(A39_443_9, L40_443_9)
% 147.15/22.42
% 147.15/22.42 [8016] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [8111] ~(left_apart_point(A39_444_9, L40_444_9) | left_apart_point(A39_444_9, reverse_line(L40_444_9)))
% 147.15/22.42
% 147.15/22.42 [8111] ALPHA_NOT_OR : ~(left_apart_point(A39_444_9, L40_444_9) | left_apart_point(A39_444_9, reverse_line(L40_444_9)))
% 147.15/22.42 -> [8115] ~left_apart_point(A39_444_9, L40_444_9), ~left_apart_point(A39_444_9, reverse_line(L40_444_9))
% 147.15/22.42
% 147.15/22.42 [8115] CLOSURE : ~left_apart_point(A39_444_9, L40_444_9)
% 147.15/22.42
% 147.15/22.42 [8004] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_241_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_241_8)))
% 147.15/22.42 -> [8033] ~unequally_directed_lines(skolem_N7979, M38_241_8)
% 147.15/22.42 -> [8034] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_241_8))
% 147.15/22.42
% 147.15/22.42 [8033] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_241_8)
% 147.15/22.42
% 147.15/22.42 [8034] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_241_8))
% 147.15/22.42
% 147.15/22.42 [5662] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_21_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_21_6)))
% 147.15/22.42 -> [5707] unequally_directed_lines(skolem_M7878, N34_21_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_21_6))
% 147.15/22.42
% 147.15/22.42 [5707] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [6336] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [6336] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42 -> [6344] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.42 -> [6345] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [6344] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.42 -> [6435] ~line(reverse_line(skolem_N7979))
% 147.15/22.42 -> [6436] ~line(skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [6436] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [6674] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [6674] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [6681] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6682] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [6681] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6751] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [6752] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6752] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6751] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [6682] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6685] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [6686] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6685] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [6934] ~(left_apart_point(A39_298_9, L40_298_9) | left_apart_point(A39_298_9, reverse_line(L40_298_9)))
% 147.15/22.42
% 147.15/22.42 [6934] ALPHA_NOT_OR : ~(left_apart_point(A39_298_9, L40_298_9) | left_apart_point(A39_298_9, reverse_line(L40_298_9)))
% 147.15/22.42 -> [6937] ~left_apart_point(A39_298_9, L40_298_9), ~left_apart_point(A39_298_9, reverse_line(L40_298_9))
% 147.15/22.42
% 147.15/22.42 [6937] CLOSURE : ~left_apart_point(A39_298_9, L40_298_9)
% 147.15/22.42
% 147.15/22.42 [6686] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [6966] ~(left_apart_point(A39_304_9, L40_304_9) | left_apart_point(A39_304_9, reverse_line(L40_304_9)))
% 147.15/22.42
% 147.15/22.42 [6966] ALPHA_NOT_OR : ~(left_apart_point(A39_304_9, L40_304_9) | left_apart_point(A39_304_9, reverse_line(L40_304_9)))
% 147.15/22.42 -> [6970] ~left_apart_point(A39_304_9, L40_304_9), ~left_apart_point(A39_304_9, reverse_line(L40_304_9))
% 147.15/22.42
% 147.15/22.42 [6970] CLOSURE : ~left_apart_point(A39_304_9, L40_304_9)
% 147.15/22.42
% 147.15/22.42 [6435] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [6704] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [6704] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [6706] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6707] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [6706] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [7291] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [7292] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [7291] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [7292] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6707] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [6719] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [6720] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [6720] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7434] ~(left_apart_point(A39_353_9, L40_353_9) | left_apart_point(A39_353_9, reverse_line(L40_353_9)))
% 147.15/22.42
% 147.15/22.42 [7434] ALPHA_NOT_OR : ~(left_apart_point(A39_353_9, L40_353_9) | left_apart_point(A39_353_9, reverse_line(L40_353_9)))
% 147.15/22.42 -> [7436] ~left_apart_point(A39_353_9, L40_353_9), ~left_apart_point(A39_353_9, reverse_line(L40_353_9))
% 147.15/22.42
% 147.15/22.42 [7436] CLOSURE : ~left_apart_point(A39_353_9, L40_353_9)
% 147.15/22.42
% 147.15/22.42 [6719] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7926] ~(left_apart_point(A39_420_9, L40_420_9) | left_apart_point(A39_420_9, reverse_line(L40_420_9)))
% 147.15/22.42
% 147.15/22.42 [7926] ALPHA_NOT_OR : ~(left_apart_point(A39_420_9, L40_420_9) | left_apart_point(A39_420_9, reverse_line(L40_420_9)))
% 147.15/22.42 -> [7927] ~left_apart_point(A39_420_9, L40_420_9), ~left_apart_point(A39_420_9, reverse_line(L40_420_9))
% 147.15/22.42
% 147.15/22.42 [7927] CLOSURE : ~left_apart_point(A39_420_9, L40_420_9)
% 147.15/22.42
% 147.15/22.42 [6345] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42 -> [6351] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.42 -> [6352] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [6352] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [6351] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [9366] ((unequally_directed_lines(skolem_M7878, M38_317_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_317_8))) => (left_convergent_lines(skolem_M7878, M38_317_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_317_8))))
% 147.15/22.42
% 147.15/22.42 [9366] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_317_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_317_8))) => (left_convergent_lines(skolem_M7878, M38_317_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_317_8))))
% 147.15/22.42 -> [9368] ~(unequally_directed_lines(skolem_M7878, M38_317_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_317_8)))
% 147.15/22.42 -> [9369] (left_convergent_lines(skolem_M7878, M38_317_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_317_8)))
% 147.15/22.42
% 147.15/22.42 [9369] BETA_OR : (left_convergent_lines(skolem_M7878, M38_317_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_317_8)))
% 147.15/22.42 -> [9371] left_convergent_lines(skolem_M7878, M38_317_8)
% 147.15/22.42 -> [9372] left_convergent_lines(skolem_M7878, reverse_line(M38_317_8))
% 147.15/22.42
% 147.15/22.42 [9372] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [9402] ~(left_apart_point(A39_609_9, L40_609_9) | left_apart_point(A39_609_9, reverse_line(L40_609_9)))
% 147.15/22.42
% 147.15/22.42 [9402] ALPHA_NOT_OR : ~(left_apart_point(A39_609_9, L40_609_9) | left_apart_point(A39_609_9, reverse_line(L40_609_9)))
% 147.15/22.42 -> [9403] ~left_apart_point(A39_609_9, L40_609_9), ~left_apart_point(A39_609_9, reverse_line(L40_609_9))
% 147.15/22.42
% 147.15/22.42 [9403] CLOSURE : ~left_apart_point(A39_609_9, L40_609_9)
% 147.15/22.42
% 147.15/22.42 [9371] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [9408] ~(left_apart_point(A39_610_9, L40_610_9) | left_apart_point(A39_610_9, reverse_line(L40_610_9)))
% 147.15/22.42
% 147.15/22.42 [9408] ALPHA_NOT_OR : ~(left_apart_point(A39_610_9, L40_610_9) | left_apart_point(A39_610_9, reverse_line(L40_610_9)))
% 147.15/22.42 -> [9409] ~left_apart_point(A39_610_9, L40_610_9), ~left_apart_point(A39_610_9, reverse_line(L40_610_9))
% 147.15/22.42
% 147.15/22.42 [9409] CLOSURE : ~left_apart_point(A39_610_9, L40_610_9)
% 147.15/22.42
% 147.15/22.42 [9368] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_317_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_317_8)))
% 147.15/22.42 -> [9380] ~unequally_directed_lines(skolem_M7878, M38_317_8)
% 147.15/22.42 -> [9381] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_317_8))
% 147.15/22.42
% 147.15/22.42 [9381] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_317_8))
% 147.15/22.42
% 147.15/22.42 [9380] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_317_8)
% 147.15/22.42
% 147.15/22.42 [554] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42 -> [557] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [557] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.42 -> [561] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.42 -> [562] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [561] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [614] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [614] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [1067] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.42
% 147.15/22.42 [1067] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.42 -> [1068] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [1069] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.42
% 147.15/22.42 [1068] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1069] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.42 -> [1754] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [1755] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1755] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1754] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [2031] ~distinct_lines(N27_56_3, N27_56_3)
% 147.15/22.42
% 147.15/22.42 [2031] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [2268] (distinct_lines(N27_56_3, N27_56_3) => (distinct_lines(N27_56_3, N27_56_3) | distinct_lines(N27_56_3, N27_56_3)))
% 147.15/22.42
% 147.15/22.42 [2268] BETA_IMPLY : (distinct_lines(N27_56_3, N27_56_3) => (distinct_lines(N27_56_3, N27_56_3) | distinct_lines(N27_56_3, N27_56_3)))
% 147.15/22.42 -> [2269] ~distinct_lines(N27_56_3, N27_56_3)
% 147.15/22.42 -> [2270] (distinct_lines(N27_56_3, N27_56_3) | distinct_lines(N27_56_3, N27_56_3))
% 147.15/22.42
% 147.15/22.42 [2270] BETA_OR : (distinct_lines(N27_56_3, N27_56_3) | distinct_lines(N27_56_3, N27_56_3))
% 147.15/22.42 -> [2273] distinct_lines(N27_56_3, N27_56_3)
% 147.15/22.42 -> [2274] distinct_lines(N27_56_3, N27_56_3)
% 147.15/22.42
% 147.15/22.42 [2273] CLOSURE : distinct_lines(N27_56_3, N27_56_3)
% 147.15/22.42
% 147.15/22.42 [2274] CLOSURE : distinct_lines(N27_56_3, N27_56_3)
% 147.15/22.42
% 147.15/22.42 [2269] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [2349] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [2349] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [3086] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [3086] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42 -> [3088] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [3089] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [3088] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3089] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42 -> [4152] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [4153] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4153] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4152] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [4591] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_53_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_53_6))) | (unequally_directed_lines(skolem_N7979, N34_53_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_53_6)))))
% 147.15/22.42
% 147.15/22.42 [4591] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_53_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_53_6))) | (unequally_directed_lines(skolem_N7979, N34_53_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_53_6)))))
% 147.15/22.42 -> [4594] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [4595] ((unequally_directed_lines(skolem_M7878, N34_53_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_53_6))) | (unequally_directed_lines(skolem_N7979, N34_53_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_53_6))))
% 147.15/22.42
% 147.15/22.42 [4594] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [4615] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [4616] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4616] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [4615] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [4595] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_53_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_53_6))) | (unequally_directed_lines(skolem_N7979, N34_53_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_53_6))))
% 147.15/22.42 -> [5108] (unequally_directed_lines(skolem_M7878, N34_53_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_53_6)))
% 147.15/22.42 -> [5109] (unequally_directed_lines(skolem_N7979, N34_53_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_53_6)))
% 147.15/22.42
% 147.15/22.42 [5108] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_53_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_53_6)))
% 147.15/22.42 -> [5117] unequally_directed_lines(skolem_M7878, N34_53_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_53_6))
% 147.15/22.42
% 147.15/22.42 [5117] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [5218] ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.42
% 147.15/22.42 [5218] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.42 -> [5221] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.42 -> [5222] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [5221] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.42 -> [5233] ~line(reverse_line(skolem_N7979))
% 147.15/22.42 -> [5234] ~line(reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [5234] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [5246] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [5246] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [5247] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5248] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [5248] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5254] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [5255] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5255] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5296] ~(left_apart_point(A39_158_9, L40_158_9) | left_apart_point(A39_158_9, reverse_line(L40_158_9)))
% 147.15/22.42
% 147.15/22.42 [5296] ALPHA_NOT_OR : ~(left_apart_point(A39_158_9, L40_158_9) | left_apart_point(A39_158_9, reverse_line(L40_158_9)))
% 147.15/22.42 -> [5301] ~left_apart_point(A39_158_9, L40_158_9), ~left_apart_point(A39_158_9, reverse_line(L40_158_9))
% 147.15/22.42
% 147.15/22.42 [5301] CLOSURE : ~left_apart_point(A39_158_9, L40_158_9)
% 147.15/22.42
% 147.15/22.42 [5254] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5316] ~(left_apart_point(A39_159_9, L40_159_9) | left_apart_point(A39_159_9, reverse_line(L40_159_9)))
% 147.15/22.42
% 147.15/22.42 [5316] ALPHA_NOT_OR : ~(left_apart_point(A39_159_9, L40_159_9) | left_apart_point(A39_159_9, reverse_line(L40_159_9)))
% 147.15/22.42 -> [5317] ~left_apart_point(A39_159_9, L40_159_9), ~left_apart_point(A39_159_9, reverse_line(L40_159_9))
% 147.15/22.42
% 147.15/22.42 [5317] CLOSURE : ~left_apart_point(A39_159_9, L40_159_9)
% 147.15/22.42
% 147.15/22.42 [5247] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5264] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [5265] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5265] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5264] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [5233] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [5260] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [5260] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [5261] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5262] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [5262] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5268] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [5269] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5269] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5347] ~(left_apart_point(A39_160_9, L40_160_9) | left_apart_point(A39_160_9, reverse_line(L40_160_9)))
% 147.15/22.42
% 147.15/22.42 [5347] ALPHA_NOT_OR : ~(left_apart_point(A39_160_9, L40_160_9) | left_apart_point(A39_160_9, reverse_line(L40_160_9)))
% 147.15/22.42 -> [5348] ~left_apart_point(A39_160_9, L40_160_9), ~left_apart_point(A39_160_9, reverse_line(L40_160_9))
% 147.15/22.42
% 147.15/22.42 [5348] CLOSURE : ~left_apart_point(A39_160_9, L40_160_9)
% 147.15/22.42
% 147.15/22.42 [5268] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5357] ~(left_apart_point(A39_162_9, L40_162_9) | left_apart_point(A39_162_9, reverse_line(L40_162_9)))
% 147.15/22.42
% 147.15/22.42 [5357] ALPHA_NOT_OR : ~(left_apart_point(A39_162_9, L40_162_9) | left_apart_point(A39_162_9, reverse_line(L40_162_9)))
% 147.15/22.42 -> [5358] ~left_apart_point(A39_162_9, L40_162_9), ~left_apart_point(A39_162_9, reverse_line(L40_162_9))
% 147.15/22.42
% 147.15/22.42 [5358] CLOSURE : ~left_apart_point(A39_162_9, L40_162_9)
% 147.15/22.42
% 147.15/22.42 [5261] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [5292] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [5293] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5293] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [5292] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [5222] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.42 -> [5227] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42 -> [5228] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [5227] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [5228] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [5616] ((unequally_directed_lines(skolem_M7878, M38_104_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_104_8))) => (left_convergent_lines(skolem_M7878, M38_104_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_104_8))))
% 147.15/22.42
% 147.15/22.42 [5616] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_104_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_104_8))) => (left_convergent_lines(skolem_M7878, M38_104_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_104_8))))
% 147.15/22.42 -> [5618] ~(unequally_directed_lines(skolem_M7878, M38_104_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_104_8)))
% 147.15/22.42 -> [5619] (left_convergent_lines(skolem_M7878, M38_104_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_104_8)))
% 147.15/22.42
% 147.15/22.42 [5619] BETA_OR : (left_convergent_lines(skolem_M7878, M38_104_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_104_8)))
% 147.15/22.42 -> [5620] left_convergent_lines(skolem_M7878, M38_104_8)
% 147.15/22.42 -> [5621] left_convergent_lines(skolem_M7878, reverse_line(M38_104_8))
% 147.15/22.42
% 147.15/22.42 [5621] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5847] ~(left_apart_point(A39_204_9, L40_204_9) | left_apart_point(A39_204_9, reverse_line(L40_204_9)))
% 147.15/22.42
% 147.15/22.42 [5847] ALPHA_NOT_OR : ~(left_apart_point(A39_204_9, L40_204_9) | left_apart_point(A39_204_9, reverse_line(L40_204_9)))
% 147.15/22.42 -> [5849] ~left_apart_point(A39_204_9, L40_204_9), ~left_apart_point(A39_204_9, reverse_line(L40_204_9))
% 147.15/22.42
% 147.15/22.42 [5849] CLOSURE : ~left_apart_point(A39_204_9, L40_204_9)
% 147.15/22.42
% 147.15/22.42 [5620] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5893] ~(left_apart_point(A39_209_9, L40_209_9) | left_apart_point(A39_209_9, reverse_line(L40_209_9)))
% 147.15/22.42
% 147.15/22.42 [5893] ALPHA_NOT_OR : ~(left_apart_point(A39_209_9, L40_209_9) | left_apart_point(A39_209_9, reverse_line(L40_209_9)))
% 147.15/22.42 -> [5894] ~left_apart_point(A39_209_9, L40_209_9), ~left_apart_point(A39_209_9, reverse_line(L40_209_9))
% 147.15/22.42
% 147.15/22.42 [5894] CLOSURE : ~left_apart_point(A39_209_9, L40_209_9)
% 147.15/22.42
% 147.15/22.42 [5618] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_104_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_104_8)))
% 147.15/22.42 -> [5680] ~unequally_directed_lines(skolem_M7878, M38_104_8)
% 147.15/22.42 -> [5681] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_104_8))
% 147.15/22.42
% 147.15/22.42 [5681] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_104_8))
% 147.15/22.42
% 147.15/22.42 [5680] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_104_8)
% 147.15/22.42
% 147.15/22.42 [5109] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_53_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_53_6)))
% 147.15/22.42 -> [5110] unequally_directed_lines(skolem_N7979, N34_53_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_53_6))
% 147.15/22.42
% 147.15/22.42 [5110] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [5299] ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.15/22.42
% 147.15/22.42 [5299] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.15/22.42 -> [5302] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.42 -> [5303] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.42
% 147.15/22.42 [5302] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.42 -> [5355] ~line(skolem_L7777)
% 147.15/22.42 -> [5356] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.42
% 147.15/22.42 [5355] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [5607] ((unequally_directed_lines(skolem_N7979, M38_103_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_103_8))) => (left_convergent_lines(skolem_N7979, M38_103_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_103_8))))
% 147.15/22.42
% 147.15/22.42 [5607] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_103_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_103_8))) => (left_convergent_lines(skolem_N7979, M38_103_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_103_8))))
% 147.15/22.42 -> [5608] ~(unequally_directed_lines(skolem_N7979, M38_103_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_103_8)))
% 147.15/22.42 -> [5609] (left_convergent_lines(skolem_N7979, M38_103_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_103_8)))
% 147.15/22.42
% 147.15/22.42 [5609] BETA_OR : (left_convergent_lines(skolem_N7979, M38_103_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_103_8)))
% 147.15/22.42 -> [5614] left_convergent_lines(skolem_N7979, M38_103_8)
% 147.15/22.42 -> [5615] left_convergent_lines(skolem_N7979, reverse_line(M38_103_8))
% 147.15/22.42
% 147.15/22.42 [5615] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5628] ~(left_apart_point(A39_178_9, L40_178_9) | left_apart_point(A39_178_9, reverse_line(L40_178_9)))
% 147.15/22.42
% 147.15/22.42 [5628] ALPHA_NOT_OR : ~(left_apart_point(A39_178_9, L40_178_9) | left_apart_point(A39_178_9, reverse_line(L40_178_9)))
% 147.15/22.42 -> [5629] ~left_apart_point(A39_178_9, L40_178_9), ~left_apart_point(A39_178_9, reverse_line(L40_178_9))
% 147.15/22.42
% 147.15/22.42 [5629] CLOSURE : ~left_apart_point(A39_178_9, L40_178_9)
% 147.15/22.42
% 147.15/22.42 [5614] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5632] ~(left_apart_point(A39_180_9, L40_180_9) | left_apart_point(A39_180_9, reverse_line(L40_180_9)))
% 147.15/22.42
% 147.15/22.42 [5632] ALPHA_NOT_OR : ~(left_apart_point(A39_180_9, L40_180_9) | left_apart_point(A39_180_9, reverse_line(L40_180_9)))
% 147.15/22.42 -> [5635] ~left_apart_point(A39_180_9, L40_180_9), ~left_apart_point(A39_180_9, reverse_line(L40_180_9))
% 147.15/22.42
% 147.15/22.42 [5635] CLOSURE : ~left_apart_point(A39_180_9, L40_180_9)
% 147.15/22.42
% 147.15/22.42 [5608] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_103_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_103_8)))
% 147.15/22.42 -> [5624] ~unequally_directed_lines(skolem_N7979, M38_103_8)
% 147.15/22.42 -> [5625] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_103_8))
% 147.15/22.42
% 147.15/22.42 [5625] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_103_8))
% 147.15/22.42
% 147.15/22.42 [5624] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_103_8)
% 147.15/22.42
% 147.15/22.42 [5356] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [5554] ((unequally_directed_lines(skolem_N7979, M38_101_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_101_8))) => (left_convergent_lines(skolem_N7979, M38_101_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_101_8))))
% 147.15/22.42
% 147.15/22.42 [5554] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_101_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_101_8))) => (left_convergent_lines(skolem_N7979, M38_101_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_101_8))))
% 147.15/22.42 -> [5556] ~(unequally_directed_lines(skolem_N7979, M38_101_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_101_8)))
% 147.15/22.42 -> [5557] (left_convergent_lines(skolem_N7979, M38_101_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_101_8)))
% 147.15/22.42
% 147.15/22.42 [5556] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_101_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_101_8)))
% 147.15/22.42 -> [5626] ~unequally_directed_lines(skolem_N7979, M38_101_8)
% 147.15/22.42 -> [5627] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_101_8))
% 147.15/22.42
% 147.15/22.42 [5627] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_101_8))
% 147.15/22.42
% 147.15/22.42 [5626] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_101_8)
% 147.15/22.42
% 147.15/22.42 [5557] BETA_OR : (left_convergent_lines(skolem_N7979, M38_101_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_101_8)))
% 147.15/22.42 -> [5561] left_convergent_lines(skolem_N7979, M38_101_8)
% 147.15/22.42 -> [5562] left_convergent_lines(skolem_N7979, reverse_line(M38_101_8))
% 147.15/22.42
% 147.15/22.42 [5561] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [5636] ~(left_apart_point(A39_181_9, L40_181_9) | left_apart_point(A39_181_9, reverse_line(L40_181_9)))
% 147.15/22.42
% 147.15/22.42 [5636] ALPHA_NOT_OR : ~(left_apart_point(A39_181_9, L40_181_9) | left_apart_point(A39_181_9, reverse_line(L40_181_9)))
% 147.15/22.42 -> [5638] ~left_apart_point(A39_181_9, L40_181_9), ~left_apart_point(A39_181_9, reverse_line(L40_181_9))
% 147.15/22.42
% 147.15/22.42 [5638] CLOSURE : ~left_apart_point(A39_181_9, L40_181_9)
% 147.15/22.42
% 147.15/22.42 [5562] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [6019] ~(left_apart_point(A39_225_9, L40_225_9) | left_apart_point(A39_225_9, reverse_line(L40_225_9)))
% 147.15/22.42
% 147.15/22.42 [6019] ALPHA_NOT_OR : ~(left_apart_point(A39_225_9, L40_225_9) | left_apart_point(A39_225_9, reverse_line(L40_225_9)))
% 147.15/22.42 -> [6021] ~left_apart_point(A39_225_9, L40_225_9), ~left_apart_point(A39_225_9, reverse_line(L40_225_9))
% 147.15/22.42
% 147.15/22.42 [6021] CLOSURE : ~left_apart_point(A39_225_9, L40_225_9)
% 147.15/22.42
% 147.15/22.42 [5303] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.42 -> [5310] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.42 -> [5311] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.42
% 147.15/22.42 [5310] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.42
% 147.15/22.42 [5311] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [7365] ((unequally_directed_lines(skolem_N7979, M38_201_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_201_8))) => (left_convergent_lines(skolem_N7979, M38_201_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_201_8))))
% 147.15/22.42
% 147.15/22.42 [7365] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_201_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_201_8))) => (left_convergent_lines(skolem_N7979, M38_201_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_201_8))))
% 147.15/22.42 -> [7366] ~(unequally_directed_lines(skolem_N7979, M38_201_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_201_8)))
% 147.15/22.42 -> [7367] (left_convergent_lines(skolem_N7979, M38_201_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_201_8)))
% 147.15/22.42
% 147.15/22.42 [7366] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_201_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_201_8)))
% 147.15/22.42 -> [7392] ~unequally_directed_lines(skolem_N7979, M38_201_8)
% 147.15/22.42 -> [7393] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_201_8))
% 147.15/22.42
% 147.15/22.42 [7393] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_201_8))
% 147.15/22.42
% 147.15/22.42 [7392] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_201_8)
% 147.15/22.42
% 147.15/22.42 [7367] BETA_OR : (left_convergent_lines(skolem_N7979, M38_201_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_201_8)))
% 147.15/22.42 -> [7373] left_convergent_lines(skolem_N7979, M38_201_8)
% 147.15/22.42 -> [7374] left_convergent_lines(skolem_N7979, reverse_line(M38_201_8))
% 147.15/22.42
% 147.15/22.42 [7374] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7452] ~(left_apart_point(A39_354_9, L40_354_9) | left_apart_point(A39_354_9, reverse_line(L40_354_9)))
% 147.15/22.42
% 147.15/22.42 [7452] ALPHA_NOT_OR : ~(left_apart_point(A39_354_9, L40_354_9) | left_apart_point(A39_354_9, reverse_line(L40_354_9)))
% 147.15/22.42 -> [7455] ~left_apart_point(A39_354_9, L40_354_9), ~left_apart_point(A39_354_9, reverse_line(L40_354_9))
% 147.15/22.42
% 147.15/22.42 [7455] CLOSURE : ~left_apart_point(A39_354_9, L40_354_9)
% 147.15/22.42
% 147.15/22.42 [7373] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.42 -> [7742] ~(left_apart_point(A39_386_9, L40_386_9) | left_apart_point(A39_386_9, reverse_line(L40_386_9)))
% 147.15/22.42
% 147.15/22.42 [7742] ALPHA_NOT_OR : ~(left_apart_point(A39_386_9, L40_386_9) | left_apart_point(A39_386_9, reverse_line(L40_386_9)))
% 147.15/22.42 -> [7746] ~left_apart_point(A39_386_9, L40_386_9), ~left_apart_point(A39_386_9, reverse_line(L40_386_9))
% 147.15/22.42
% 147.15/22.42 [7746] CLOSURE : ~left_apart_point(A39_386_9, L40_386_9)
% 147.15/22.42
% 147.15/22.42 [562] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.42 -> [1040] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [1040] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.42 -> [1143] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.42
% 147.15/22.42 [1143] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.42 -> [1390] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42 -> [1391] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [1390] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.42
% 147.15/22.42 [1391] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.42 -> [1800] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42 -> [1801] distinct_points(skolem_A8080, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [1800] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.42
% 147.15/22.42 [1801] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.42 -> [2010] ~distinct_lines(N27_39_3, N27_39_3)
% 147.15/22.42
% 147.15/22.42 [2010] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.42 -> [2070] (distinct_lines(N27_39_3, N27_39_3) => (distinct_lines(N27_39_3, N27_39_3) | distinct_lines(N27_39_3, N27_39_3)))
% 147.15/22.42
% 147.15/22.42 [2070] BETA_IMPLY : (distinct_lines(N27_39_3, N27_39_3) => (distinct_lines(N27_39_3, N27_39_3) | distinct_lines(N27_39_3, N27_39_3)))
% 147.15/22.42 -> [2071] ~distinct_lines(N27_39_3, N27_39_3)
% 147.15/22.42 -> [2072] (distinct_lines(N27_39_3, N27_39_3) | distinct_lines(N27_39_3, N27_39_3))
% 147.15/22.42
% 147.15/22.42 [2072] BETA_OR : (distinct_lines(N27_39_3, N27_39_3) | distinct_lines(N27_39_3, N27_39_3))
% 147.15/22.42 -> [2075] distinct_lines(N27_39_3, N27_39_3)
% 147.15/22.42 -> [2076] distinct_lines(N27_39_3, N27_39_3)
% 147.15/22.42
% 147.15/22.42 [2076] CLOSURE : distinct_lines(N27_39_3, N27_39_3)
% 147.15/22.42
% 147.15/22.42 [2075] CLOSURE : distinct_lines(N27_39_3, N27_39_3)
% 147.15/22.42
% 147.15/22.42 [2071] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.42 -> [2141] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [2141] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.42 -> [2190] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42
% 147.15/22.42 [2190] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.42 -> [2193] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [2194] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42
% 147.15/22.42 [2193] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [2194] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.42 -> [3046] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42 -> [3047] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3047] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3046] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.42 -> [3678] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_22_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_22_6))) | (unequally_directed_lines(skolem_N7979, N34_22_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_22_6)))))
% 147.15/22.42
% 147.15/22.42 [3678] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_22_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_22_6))) | (unequally_directed_lines(skolem_N7979, N34_22_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_22_6)))))
% 147.15/22.42 -> [3679] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [3680] ((unequally_directed_lines(skolem_M7878, N34_22_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_22_6))) | (unequally_directed_lines(skolem_N7979, N34_22_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_22_6))))
% 147.15/22.42
% 147.15/22.42 [3679] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.42 -> [3699] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42 -> [3700] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3700] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.42
% 147.15/22.42 [3699] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.42
% 147.15/22.42 [3680] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_22_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_22_6))) | (unequally_directed_lines(skolem_N7979, N34_22_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_22_6))))
% 147.15/22.42 -> [8732] (unequally_directed_lines(skolem_M7878, N34_22_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_22_6)))
% 147.15/22.42 -> [8733] (unequally_directed_lines(skolem_N7979, N34_22_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_22_6)))
% 147.15/22.42
% 147.15/22.42 [8732] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_22_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_22_6)))
% 147.15/22.42 -> [8742] unequally_directed_lines(skolem_M7878, N34_22_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_22_6))
% 147.15/22.42
% 147.15/22.42 [8742] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.42 -> [9025] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.42
% 147.15/22.42 [9025] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.42 -> [9028] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42 -> [9029] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.42
% 147.15/22.42 [9028] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.42 -> [9038] ~line(skolem_L7777)
% 147.15/22.42 -> [9039] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.42
% 147.15/22.42 [9038] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.42 -> [9162] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42
% 147.15/22.42 [9162] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.42 -> [9163] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [9164] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42
% 147.15/22.42 [9163] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [9230] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [9231] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [9231] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [9230] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42
% 147.15/22.42 [9164] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.42 -> [9171] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.42 -> [9172] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.42
% 147.15/22.42 [9172] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9320] ~(left_apart_point(A39_597_9, L40_597_9) | left_apart_point(A39_597_9, reverse_line(L40_597_9)))
% 147.15/22.43
% 147.15/22.43 [9320] ALPHA_NOT_OR : ~(left_apart_point(A39_597_9, L40_597_9) | left_apart_point(A39_597_9, reverse_line(L40_597_9)))
% 147.15/22.43 -> [9321] ~left_apart_point(A39_597_9, L40_597_9), ~left_apart_point(A39_597_9, reverse_line(L40_597_9))
% 147.15/22.43
% 147.15/22.43 [9321] CLOSURE : ~left_apart_point(A39_597_9, L40_597_9)
% 147.15/22.43
% 147.15/22.43 [9171] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9342] ~(left_apart_point(A39_601_9, L40_601_9) | left_apart_point(A39_601_9, reverse_line(L40_601_9)))
% 147.15/22.43
% 147.15/22.43 [9342] ALPHA_NOT_OR : ~(left_apart_point(A39_601_9, L40_601_9) | left_apart_point(A39_601_9, reverse_line(L40_601_9)))
% 147.15/22.43 -> [9343] ~left_apart_point(A39_601_9, L40_601_9), ~left_apart_point(A39_601_9, reverse_line(L40_601_9))
% 147.15/22.43
% 147.15/22.43 [9343] CLOSURE : ~left_apart_point(A39_601_9, L40_601_9)
% 147.15/22.43
% 147.15/22.43 [9039] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [9129] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [9129] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [9131] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9132] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [9132] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9137] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [9138] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9138] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9300] ~(left_apart_point(A39_594_9, L40_594_9) | left_apart_point(A39_594_9, reverse_line(L40_594_9)))
% 147.15/22.43
% 147.15/22.43 [9300] ALPHA_NOT_OR : ~(left_apart_point(A39_594_9, L40_594_9) | left_apart_point(A39_594_9, reverse_line(L40_594_9)))
% 147.15/22.43 -> [9304] ~left_apart_point(A39_594_9, L40_594_9), ~left_apart_point(A39_594_9, reverse_line(L40_594_9))
% 147.15/22.43
% 147.15/22.43 [9304] CLOSURE : ~left_apart_point(A39_594_9, L40_594_9)
% 147.15/22.43
% 147.15/22.43 [9137] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9327] ~(left_apart_point(A39_599_9, L40_599_9) | left_apart_point(A39_599_9, reverse_line(L40_599_9)))
% 147.15/22.43
% 147.15/22.43 [9327] ALPHA_NOT_OR : ~(left_apart_point(A39_599_9, L40_599_9) | left_apart_point(A39_599_9, reverse_line(L40_599_9)))
% 147.15/22.43 -> [9328] ~left_apart_point(A39_599_9, L40_599_9), ~left_apart_point(A39_599_9, reverse_line(L40_599_9))
% 147.15/22.43
% 147.15/22.43 [9328] CLOSURE : ~left_apart_point(A39_599_9, L40_599_9)
% 147.15/22.43
% 147.15/22.43 [9131] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9181] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [9182] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9182] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9181] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [9029] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.43 -> [9033] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.43 -> [9034] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [9033] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [9034] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [11738] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [11738] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [11743] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [11744] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [11744] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [11746] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [11747] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [11746] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [11852] ~(left_apart_point(A39_907_9, L40_907_9) | left_apart_point(A39_907_9, reverse_line(L40_907_9)))
% 147.15/22.43
% 147.15/22.43 [11852] ALPHA_NOT_OR : ~(left_apart_point(A39_907_9, L40_907_9) | left_apart_point(A39_907_9, reverse_line(L40_907_9)))
% 147.15/22.43 -> [11855] ~left_apart_point(A39_907_9, L40_907_9), ~left_apart_point(A39_907_9, reverse_line(L40_907_9))
% 147.15/22.43
% 147.15/22.43 [11855] CLOSURE : ~left_apart_point(A39_907_9, L40_907_9)
% 147.15/22.43
% 147.15/22.43 [11747] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [11859] ~(left_apart_point(A39_909_9, L40_909_9) | left_apart_point(A39_909_9, reverse_line(L40_909_9)))
% 147.15/22.43
% 147.15/22.43 [11859] ALPHA_NOT_OR : ~(left_apart_point(A39_909_9, L40_909_9) | left_apart_point(A39_909_9, reverse_line(L40_909_9)))
% 147.15/22.43 -> [11861] ~left_apart_point(A39_909_9, L40_909_9), ~left_apart_point(A39_909_9, reverse_line(L40_909_9))
% 147.15/22.43
% 147.15/22.43 [11861] CLOSURE : ~left_apart_point(A39_909_9, L40_909_9)
% 147.15/22.43
% 147.15/22.43 [11743] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [11772] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [11773] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [11773] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [11772] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [8733] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_22_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_22_6)))
% 147.15/22.43 -> [8734] unequally_directed_lines(skolem_N7979, N34_22_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_22_6))
% 147.15/22.43
% 147.15/22.43 [8734] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [8981] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.43
% 147.15/22.43 [8981] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.43 -> [8988] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.43 -> [8989] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.43
% 147.15/22.43 [8988] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.43 -> [9012] ~line(skolem_L7777)
% 147.15/22.43 -> [9013] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [9012] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [9096] ((unequally_directed_lines(skolem_N7979, M38_300_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_300_8))) => (left_convergent_lines(skolem_N7979, M38_300_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_300_8))))
% 147.15/22.43
% 147.15/22.43 [9096] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_300_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_300_8))) => (left_convergent_lines(skolem_N7979, M38_300_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_300_8))))
% 147.15/22.43 -> [9099] ~(unequally_directed_lines(skolem_N7979, M38_300_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_300_8)))
% 147.15/22.43 -> [9100] (left_convergent_lines(skolem_N7979, M38_300_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_300_8)))
% 147.15/22.43
% 147.15/22.43 [9100] BETA_OR : (left_convergent_lines(skolem_N7979, M38_300_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_300_8)))
% 147.15/22.43 -> [9104] left_convergent_lines(skolem_N7979, M38_300_8)
% 147.15/22.43 -> [9105] left_convergent_lines(skolem_N7979, reverse_line(M38_300_8))
% 147.15/22.43
% 147.15/22.43 [9105] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9271] ~(left_apart_point(A39_586_9, L40_586_9) | left_apart_point(A39_586_9, reverse_line(L40_586_9)))
% 147.15/22.43
% 147.15/22.43 [9271] ALPHA_NOT_OR : ~(left_apart_point(A39_586_9, L40_586_9) | left_apart_point(A39_586_9, reverse_line(L40_586_9)))
% 147.15/22.43 -> [9273] ~left_apart_point(A39_586_9, L40_586_9), ~left_apart_point(A39_586_9, reverse_line(L40_586_9))
% 147.15/22.43
% 147.15/22.43 [9273] CLOSURE : ~left_apart_point(A39_586_9, L40_586_9)
% 147.15/22.43
% 147.15/22.43 [9104] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9334] ~(left_apart_point(A39_600_9, L40_600_9) | left_apart_point(A39_600_9, reverse_line(L40_600_9)))
% 147.15/22.43
% 147.15/22.43 [9334] ALPHA_NOT_OR : ~(left_apart_point(A39_600_9, L40_600_9) | left_apart_point(A39_600_9, reverse_line(L40_600_9)))
% 147.15/22.43 -> [9337] ~left_apart_point(A39_600_9, L40_600_9), ~left_apart_point(A39_600_9, reverse_line(L40_600_9))
% 147.15/22.43
% 147.15/22.43 [9337] CLOSURE : ~left_apart_point(A39_600_9, L40_600_9)
% 147.15/22.43
% 147.15/22.43 [9099] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_300_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_300_8)))
% 147.15/22.43 -> [9143] ~unequally_directed_lines(skolem_N7979, M38_300_8)
% 147.15/22.43 -> [9144] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_300_8))
% 147.15/22.43
% 147.15/22.43 [9143] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_300_8)
% 147.15/22.43
% 147.15/22.43 [9144] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_300_8))
% 147.15/22.43
% 147.15/22.43 [9013] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [9076] ((unequally_directed_lines(skolem_N7979, M38_298_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_298_8))) => (left_convergent_lines(skolem_N7979, M38_298_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_298_8))))
% 147.15/22.43
% 147.15/22.43 [9076] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_298_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_298_8))) => (left_convergent_lines(skolem_N7979, M38_298_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_298_8))))
% 147.15/22.43 -> [9077] ~(unequally_directed_lines(skolem_N7979, M38_298_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_298_8)))
% 147.15/22.43 -> [9078] (left_convergent_lines(skolem_N7979, M38_298_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_298_8)))
% 147.15/22.43
% 147.15/22.43 [9077] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_298_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_298_8)))
% 147.15/22.43 -> [9110] ~unequally_directed_lines(skolem_N7979, M38_298_8)
% 147.15/22.43 -> [9111] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_298_8))
% 147.15/22.43
% 147.15/22.43 [9111] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_298_8))
% 147.15/22.43
% 147.15/22.43 [9110] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_298_8)
% 147.15/22.43
% 147.15/22.43 [9078] BETA_OR : (left_convergent_lines(skolem_N7979, M38_298_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_298_8)))
% 147.15/22.43 -> [9082] left_convergent_lines(skolem_N7979, M38_298_8)
% 147.15/22.43 -> [9083] left_convergent_lines(skolem_N7979, reverse_line(M38_298_8))
% 147.15/22.43
% 147.15/22.43 [9083] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9259] ~(left_apart_point(A39_583_9, L40_583_9) | left_apart_point(A39_583_9, reverse_line(L40_583_9)))
% 147.15/22.43
% 147.15/22.43 [9259] ALPHA_NOT_OR : ~(left_apart_point(A39_583_9, L40_583_9) | left_apart_point(A39_583_9, reverse_line(L40_583_9)))
% 147.15/22.43 -> [9261] ~left_apart_point(A39_583_9, L40_583_9), ~left_apart_point(A39_583_9, reverse_line(L40_583_9))
% 147.15/22.43
% 147.15/22.43 [9261] CLOSURE : ~left_apart_point(A39_583_9, L40_583_9)
% 147.15/22.43
% 147.15/22.43 [9082] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [10477] ~(left_apart_point(A39_748_9, L40_748_9) | left_apart_point(A39_748_9, reverse_line(L40_748_9)))
% 147.15/22.43
% 147.15/22.43 [10477] ALPHA_NOT_OR : ~(left_apart_point(A39_748_9, L40_748_9) | left_apart_point(A39_748_9, reverse_line(L40_748_9)))
% 147.15/22.43 -> [10478] ~left_apart_point(A39_748_9, L40_748_9), ~left_apart_point(A39_748_9, reverse_line(L40_748_9))
% 147.15/22.43
% 147.15/22.43 [10478] CLOSURE : ~left_apart_point(A39_748_9, L40_748_9)
% 147.15/22.43
% 147.15/22.43 [8989] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.43 -> [9063] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.43 -> [9064] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [9063] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [9064] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [12068] ((unequally_directed_lines(skolem_N7979, M38_499_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_499_8))) => (left_convergent_lines(skolem_N7979, M38_499_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_499_8))))
% 147.15/22.43
% 147.15/22.43 [12068] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_499_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_499_8))) => (left_convergent_lines(skolem_N7979, M38_499_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_499_8))))
% 147.15/22.43 -> [12070] ~(unequally_directed_lines(skolem_N7979, M38_499_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_499_8)))
% 147.15/22.43 -> [12071] (left_convergent_lines(skolem_N7979, M38_499_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_499_8)))
% 147.15/22.43
% 147.15/22.43 [12071] BETA_OR : (left_convergent_lines(skolem_N7979, M38_499_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_499_8)))
% 147.15/22.43 -> [12076] left_convergent_lines(skolem_N7979, M38_499_8)
% 147.15/22.43 -> [12077] left_convergent_lines(skolem_N7979, reverse_line(M38_499_8))
% 147.15/22.43
% 147.15/22.43 [12076] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12099] ~(left_apart_point(A39_953_9, L40_953_9) | left_apart_point(A39_953_9, reverse_line(L40_953_9)))
% 147.15/22.43
% 147.15/22.43 [12099] ALPHA_NOT_OR : ~(left_apart_point(A39_953_9, L40_953_9) | left_apart_point(A39_953_9, reverse_line(L40_953_9)))
% 147.15/22.43 -> [12101] ~left_apart_point(A39_953_9, L40_953_9), ~left_apart_point(A39_953_9, reverse_line(L40_953_9))
% 147.15/22.43
% 147.15/22.43 [12101] CLOSURE : ~left_apart_point(A39_953_9, L40_953_9)
% 147.15/22.43
% 147.15/22.43 [12077] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12095] ~(left_apart_point(A39_951_9, L40_951_9) | left_apart_point(A39_951_9, reverse_line(L40_951_9)))
% 147.15/22.43
% 147.15/22.43 [12095] ALPHA_NOT_OR : ~(left_apart_point(A39_951_9, L40_951_9) | left_apart_point(A39_951_9, reverse_line(L40_951_9)))
% 147.15/22.43 -> [12096] ~left_apart_point(A39_951_9, L40_951_9), ~left_apart_point(A39_951_9, reverse_line(L40_951_9))
% 147.15/22.43
% 147.15/22.43 [12096] CLOSURE : ~left_apart_point(A39_951_9, L40_951_9)
% 147.15/22.43
% 147.15/22.43 [12070] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_499_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_499_8)))
% 147.15/22.43 -> [12085] ~unequally_directed_lines(skolem_N7979, M38_499_8)
% 147.15/22.43 -> [12086] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_499_8))
% 147.15/22.43
% 147.15/22.43 [12086] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_499_8))
% 147.15/22.43
% 147.15/22.43 [12085] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_499_8)
% 147.15/22.43
% 147.15/22.43 [37] ALPHA_AND : (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 147.15/22.43 -> [48] before_on_line(skolem_L7777, skolem_A8080, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [48] Rewrite : before_on_line(skolem_L7777, skolem_A8080, skolem_B8181)
% 147.15/22.43 -> [56] (((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [56] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [64] (((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.43
% 147.15/22.43 [64] ALPHA_AND : (((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.43 -> [70] ((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [70] ALPHA_AND : (((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.43 -> [78] ((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.43
% 147.15/22.43 [78] ALPHA_AND : ((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.15/22.43 -> [86] (distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.43
% 147.15/22.43 [86] ALPHA_AND : ((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777))))
% 147.15/22.43 -> [93] (distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.15/22.43
% 147.15/22.43 [93] ALPHA_AND : (distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777))))
% 147.15/22.43 -> [96] distinct_points(skolem_A8080, skolem_B8181), ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.15/22.43
% 147.15/22.43 [96] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.43 -> [111] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.15/22.43
% 147.15/22.43 [111] ALPHA_AND : (distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.15/22.43 -> [117] distinct_points(skolem_B8181, skolem_C8282), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.43
% 147.15/22.43 [117] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.15/22.43 -> [124] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 147.15/22.43
% 147.15/22.43 [124] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.15/22.43 -> [133] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 147.15/22.43
% 147.15/22.43 [133] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.43 -> [140] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.15/22.43
% 147.15/22.43 [140] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43 -> [145] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [146] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [146] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43 -> [153] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [153] BETA_NOT_AND : ~(((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [228] ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [229] ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [229] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [245] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [245] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [722] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [722] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [743] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [743] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.43 -> [744] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [745] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [744] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [745] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.43 -> [1752] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43 -> [1753] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [1752] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [1753] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [2221] ~distinct_lines(N27_57_3, N27_57_3)
% 147.15/22.43
% 147.15/22.43 [2221] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [2292] (distinct_lines(N27_57_3, N27_57_3) => (distinct_lines(N27_57_3, N27_57_3) | distinct_lines(N27_57_3, N27_57_3)))
% 147.15/22.43
% 147.15/22.43 [2292] BETA_IMPLY : (distinct_lines(N27_57_3, N27_57_3) => (distinct_lines(N27_57_3, N27_57_3) | distinct_lines(N27_57_3, N27_57_3)))
% 147.15/22.43 -> [2294] ~distinct_lines(N27_57_3, N27_57_3)
% 147.15/22.43 -> [2295] (distinct_lines(N27_57_3, N27_57_3) | distinct_lines(N27_57_3, N27_57_3))
% 147.15/22.43
% 147.15/22.43 [2295] BETA_OR : (distinct_lines(N27_57_3, N27_57_3) | distinct_lines(N27_57_3, N27_57_3))
% 147.15/22.43 -> [2302] distinct_lines(N27_57_3, N27_57_3)
% 147.15/22.43 -> [2303] distinct_lines(N27_57_3, N27_57_3)
% 147.15/22.43
% 147.15/22.43 [2303] CLOSURE : distinct_lines(N27_57_3, N27_57_3)
% 147.15/22.43
% 147.15/22.43 [2302] CLOSURE : distinct_lines(N27_57_3, N27_57_3)
% 147.15/22.43
% 147.15/22.43 [2294] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [2355] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [2355] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [2807] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [2807] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878)))
% 147.15/22.43 -> [2808] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [2809] (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [2808] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [2809] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878))
% 147.15/22.43 -> [3842] unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [3843] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [3843] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [3842] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [5832] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.43
% 147.15/22.43 [5832] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.43 -> [5833] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [5834] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [5833] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [5895] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [5896] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [5896] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [5895] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [5834] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [8230] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [8231] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [8230] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [8269] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [8269] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [8231] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [8236] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [8236] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [8337] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [8337] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [8338] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.43 -> [8339] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [8339] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [8346] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43 -> [8347] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [8346] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [8347] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [8385] ((unequally_directed_lines(skolem_N7979, M38_263_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_263_8))) => (left_convergent_lines(skolem_N7979, M38_263_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_263_8))))
% 147.15/22.43
% 147.15/22.43 [8385] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_263_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_263_8))) => (left_convergent_lines(skolem_N7979, M38_263_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_263_8))))
% 147.15/22.43 -> [8386] ~(unequally_directed_lines(skolem_N7979, M38_263_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_263_8)))
% 147.15/22.43 -> [8387] (left_convergent_lines(skolem_N7979, M38_263_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_263_8)))
% 147.15/22.43
% 147.15/22.43 [8386] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_263_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_263_8)))
% 147.15/22.43 -> [8421] ~unequally_directed_lines(skolem_N7979, M38_263_8)
% 147.15/22.43 -> [8422] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_263_8))
% 147.15/22.43
% 147.15/22.43 [8422] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_263_8))
% 147.15/22.43
% 147.15/22.43 [8421] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_263_8)
% 147.15/22.43
% 147.15/22.43 [8387] BETA_OR : (left_convergent_lines(skolem_N7979, M38_263_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_263_8)))
% 147.15/22.43 -> [8390] left_convergent_lines(skolem_N7979, M38_263_8)
% 147.15/22.43 -> [8391] left_convergent_lines(skolem_N7979, reverse_line(M38_263_8))
% 147.15/22.43
% 147.15/22.43 [8391] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8479] ~(left_apart_point(A39_500_9, L40_500_9) | left_apart_point(A39_500_9, reverse_line(L40_500_9)))
% 147.15/22.43
% 147.15/22.43 [8479] ALPHA_NOT_OR : ~(left_apart_point(A39_500_9, L40_500_9) | left_apart_point(A39_500_9, reverse_line(L40_500_9)))
% 147.15/22.43 -> [8483] ~left_apart_point(A39_500_9, L40_500_9), ~left_apart_point(A39_500_9, reverse_line(L40_500_9))
% 147.15/22.43
% 147.15/22.43 [8483] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [8669] ~(left_convergent_lines(L41_148_10, M42_148_10) | left_convergent_lines(L41_148_10, reverse_line(M42_148_10)))
% 147.15/22.43
% 147.15/22.43 [8669] ALPHA_NOT_OR : ~(left_convergent_lines(L41_148_10, M42_148_10) | left_convergent_lines(L41_148_10, reverse_line(M42_148_10)))
% 147.15/22.43 -> [8672] ~left_convergent_lines(L41_148_10, M42_148_10), ~left_convergent_lines(L41_148_10, reverse_line(M42_148_10))
% 147.15/22.43
% 147.15/22.43 [8672] CLOSURE : ~left_convergent_lines(L41_148_10, M42_148_10)
% 147.15/22.43
% 147.15/22.43 [8390] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8492] ~(left_apart_point(A39_503_9, L40_503_9) | left_apart_point(A39_503_9, reverse_line(L40_503_9)))
% 147.15/22.43
% 147.15/22.43 [8492] ALPHA_NOT_OR : ~(left_apart_point(A39_503_9, L40_503_9) | left_apart_point(A39_503_9, reverse_line(L40_503_9)))
% 147.15/22.43 -> [8493] ~left_apart_point(A39_503_9, L40_503_9), ~left_apart_point(A39_503_9, reverse_line(L40_503_9))
% 147.15/22.43
% 147.15/22.43 [8493] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [8869] ~(left_convergent_lines(L41_165_10, M42_165_10) | left_convergent_lines(L41_165_10, reverse_line(M42_165_10)))
% 147.15/22.43
% 147.15/22.43 [8869] ALPHA_NOT_OR : ~(left_convergent_lines(L41_165_10, M42_165_10) | left_convergent_lines(L41_165_10, reverse_line(M42_165_10)))
% 147.15/22.43 -> [8872] ~left_convergent_lines(L41_165_10, M42_165_10), ~left_convergent_lines(L41_165_10, reverse_line(M42_165_10))
% 147.15/22.43
% 147.15/22.43 [8872] CLOSURE : ~left_convergent_lines(L41_165_10, M42_165_10)
% 147.15/22.43
% 147.15/22.43 [8338] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.43 -> [8356] ~line(skolem_M7878)
% 147.15/22.43 -> [8357] ~line(skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [8357] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [8371] ((unequally_directed_lines(skolem_N7979, M38_261_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_261_8))) => (left_convergent_lines(skolem_N7979, M38_261_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_261_8))))
% 147.15/22.43
% 147.15/22.43 [8371] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_261_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_261_8))) => (left_convergent_lines(skolem_N7979, M38_261_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_261_8))))
% 147.15/22.43 -> [8372] ~(unequally_directed_lines(skolem_N7979, M38_261_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_261_8)))
% 147.15/22.43 -> [8373] (left_convergent_lines(skolem_N7979, M38_261_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_261_8)))
% 147.15/22.43
% 147.15/22.43 [8372] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_261_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_261_8)))
% 147.15/22.43 -> [8416] ~unequally_directed_lines(skolem_N7979, M38_261_8)
% 147.15/22.43 -> [8417] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_261_8))
% 147.15/22.43
% 147.15/22.43 [8417] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_261_8))
% 147.15/22.43
% 147.15/22.43 [8416] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_261_8)
% 147.15/22.43
% 147.15/22.43 [8373] BETA_OR : (left_convergent_lines(skolem_N7979, M38_261_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_261_8)))
% 147.15/22.43 -> [8380] left_convergent_lines(skolem_N7979, M38_261_8)
% 147.15/22.43 -> [8381] left_convergent_lines(skolem_N7979, reverse_line(M38_261_8))
% 147.15/22.43
% 147.15/22.43 [8380] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8502] ~(left_apart_point(A39_508_9, L40_508_9) | left_apart_point(A39_508_9, reverse_line(L40_508_9)))
% 147.15/22.43
% 147.15/22.43 [8502] ALPHA_NOT_OR : ~(left_apart_point(A39_508_9, L40_508_9) | left_apart_point(A39_508_9, reverse_line(L40_508_9)))
% 147.15/22.43 -> [8503] ~left_apart_point(A39_508_9, L40_508_9), ~left_apart_point(A39_508_9, reverse_line(L40_508_9))
% 147.15/22.43
% 147.15/22.43 [8503] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [8852] ~(left_convergent_lines(L41_162_10, M42_162_10) | left_convergent_lines(L41_162_10, reverse_line(M42_162_10)))
% 147.15/22.43
% 147.15/22.43 [8852] ALPHA_NOT_OR : ~(left_convergent_lines(L41_162_10, M42_162_10) | left_convergent_lines(L41_162_10, reverse_line(M42_162_10)))
% 147.15/22.43 -> [8855] ~left_convergent_lines(L41_162_10, M42_162_10), ~left_convergent_lines(L41_162_10, reverse_line(M42_162_10))
% 147.15/22.43
% 147.15/22.43 [8855] CLOSURE : ~left_convergent_lines(L41_162_10, M42_162_10)
% 147.15/22.43
% 147.15/22.43 [8381] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8473] ~(left_apart_point(A39_498_9, L40_498_9) | left_apart_point(A39_498_9, reverse_line(L40_498_9)))
% 147.15/22.43
% 147.15/22.43 [8473] ALPHA_NOT_OR : ~(left_apart_point(A39_498_9, L40_498_9) | left_apart_point(A39_498_9, reverse_line(L40_498_9)))
% 147.15/22.43 -> [8474] ~left_apart_point(A39_498_9, L40_498_9), ~left_apart_point(A39_498_9, reverse_line(L40_498_9))
% 147.15/22.43
% 147.15/22.43 [8474] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [8915] ~(left_convergent_lines(L41_168_10, M42_168_10) | left_convergent_lines(L41_168_10, reverse_line(M42_168_10)))
% 147.15/22.43
% 147.15/22.43 [8915] ALPHA_NOT_OR : ~(left_convergent_lines(L41_168_10, M42_168_10) | left_convergent_lines(L41_168_10, reverse_line(M42_168_10)))
% 147.15/22.43 -> [8920] ~left_convergent_lines(L41_168_10, M42_168_10), ~left_convergent_lines(L41_168_10, reverse_line(M42_168_10))
% 147.15/22.43
% 147.15/22.43 [8920] CLOSURE : ~left_convergent_lines(L41_168_10, M42_168_10)
% 147.15/22.43
% 147.15/22.43 [8356] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [8397] ((unequally_directed_lines(skolem_N7979, M38_264_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_264_8))) => (left_convergent_lines(skolem_N7979, M38_264_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_264_8))))
% 147.15/22.43
% 147.15/22.43 [8397] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_264_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_264_8))) => (left_convergent_lines(skolem_N7979, M38_264_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_264_8))))
% 147.15/22.43 -> [8401] ~(unequally_directed_lines(skolem_N7979, M38_264_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_264_8)))
% 147.15/22.43 -> [8402] (left_convergent_lines(skolem_N7979, M38_264_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_264_8)))
% 147.15/22.43
% 147.15/22.43 [8401] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_264_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_264_8)))
% 147.15/22.43 -> [8431] ~unequally_directed_lines(skolem_N7979, M38_264_8)
% 147.15/22.43 -> [8432] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_264_8))
% 147.15/22.43
% 147.15/22.43 [8432] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_264_8))
% 147.15/22.43
% 147.15/22.43 [8431] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_264_8)
% 147.15/22.43
% 147.15/22.43 [8402] BETA_OR : (left_convergent_lines(skolem_N7979, M38_264_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_264_8)))
% 147.15/22.43 -> [8406] left_convergent_lines(skolem_N7979, M38_264_8)
% 147.15/22.43 -> [8407] left_convergent_lines(skolem_N7979, reverse_line(M38_264_8))
% 147.15/22.43
% 147.15/22.43 [8406] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8494] ~(left_apart_point(A39_504_9, L40_504_9) | left_apart_point(A39_504_9, reverse_line(L40_504_9)))
% 147.15/22.43
% 147.15/22.43 [8494] ALPHA_NOT_OR : ~(left_apart_point(A39_504_9, L40_504_9) | left_apart_point(A39_504_9, reverse_line(L40_504_9)))
% 147.15/22.43 -> [8495] ~left_apart_point(A39_504_9, L40_504_9), ~left_apart_point(A39_504_9, reverse_line(L40_504_9))
% 147.15/22.43
% 147.15/22.43 [8495] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [8773] ~(left_convergent_lines(L41_158_10, M42_158_10) | left_convergent_lines(L41_158_10, reverse_line(M42_158_10)))
% 147.15/22.43
% 147.15/22.43 [8773] ALPHA_NOT_OR : ~(left_convergent_lines(L41_158_10, M42_158_10) | left_convergent_lines(L41_158_10, reverse_line(M42_158_10)))
% 147.15/22.43 -> [8774] ~left_convergent_lines(L41_158_10, M42_158_10), ~left_convergent_lines(L41_158_10, reverse_line(M42_158_10))
% 147.15/22.43
% 147.15/22.43 [8774] CLOSURE : ~left_convergent_lines(L41_158_10, M42_158_10)
% 147.15/22.43
% 147.15/22.43 [8407] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8512] ~(left_apart_point(A39_510_9, L40_510_9) | left_apart_point(A39_510_9, reverse_line(L40_510_9)))
% 147.15/22.43
% 147.15/22.43 [8512] ALPHA_NOT_OR : ~(left_apart_point(A39_510_9, L40_510_9) | left_apart_point(A39_510_9, reverse_line(L40_510_9)))
% 147.15/22.43 -> [8514] ~left_apart_point(A39_510_9, L40_510_9), ~left_apart_point(A39_510_9, reverse_line(L40_510_9))
% 147.15/22.43
% 147.15/22.43 [8514] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [8870] ~(left_convergent_lines(L41_166_10, M42_166_10) | left_convergent_lines(L41_166_10, reverse_line(M42_166_10)))
% 147.15/22.43
% 147.15/22.43 [8870] ALPHA_NOT_OR : ~(left_convergent_lines(L41_166_10, M42_166_10) | left_convergent_lines(L41_166_10, reverse_line(M42_166_10)))
% 147.15/22.43 -> [8873] ~left_convergent_lines(L41_166_10, M42_166_10), ~left_convergent_lines(L41_166_10, reverse_line(M42_166_10))
% 147.15/22.43
% 147.15/22.43 [8873] CLOSURE : ~left_convergent_lines(L41_166_10, M42_166_10)
% 147.15/22.43
% 147.15/22.43 [228] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [310] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [311] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [311] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43 -> [325] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [325] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43 -> [329] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.43 -> [330] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [330] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [358] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [358] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [377] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.43
% 147.15/22.43 [377] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.43 -> [381] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [382] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.43
% 147.15/22.43 [381] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [382] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.43 -> [1513] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [1514] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1514] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1513] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [1568] ~distinct_lines(N27_8_3, N27_8_3)
% 147.15/22.43
% 147.15/22.43 [1568] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [1581] (distinct_lines(N27_8_3, N27_8_3) => (distinct_lines(N27_8_3, N27_8_3) | distinct_lines(N27_8_3, N27_8_3)))
% 147.15/22.43
% 147.15/22.43 [1581] BETA_IMPLY : (distinct_lines(N27_8_3, N27_8_3) => (distinct_lines(N27_8_3, N27_8_3) | distinct_lines(N27_8_3, N27_8_3)))
% 147.15/22.43 -> [1582] ~distinct_lines(N27_8_3, N27_8_3)
% 147.15/22.43 -> [1583] (distinct_lines(N27_8_3, N27_8_3) | distinct_lines(N27_8_3, N27_8_3))
% 147.15/22.43
% 147.15/22.43 [1583] BETA_OR : (distinct_lines(N27_8_3, N27_8_3) | distinct_lines(N27_8_3, N27_8_3))
% 147.15/22.43 -> [1584] distinct_lines(N27_8_3, N27_8_3)
% 147.15/22.43 -> [1585] distinct_lines(N27_8_3, N27_8_3)
% 147.15/22.43
% 147.15/22.43 [1584] CLOSURE : distinct_lines(N27_8_3, N27_8_3)
% 147.15/22.43
% 147.15/22.43 [1585] CLOSURE : distinct_lines(N27_8_3, N27_8_3)
% 147.15/22.43
% 147.15/22.43 [1582] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [1668] ~unequally_directed_lines(skolem_N7979, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [1668] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [1704] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.43
% 147.15/22.43 [1704] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.43 -> [1705] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [1706] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.43
% 147.15/22.43 [1705] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [1706] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.43 -> [3668] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.43 -> [3669] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.43
% 147.15/22.43 [3668] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.43
% 147.15/22.43 [3669] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [3882] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) | (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))))
% 147.15/22.43
% 147.15/22.43 [3882] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) | (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))))
% 147.15/22.43 -> [3883] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [3884] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) | (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [3883] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [3894] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [3895] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [3895] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [3894] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [3884] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) | (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [6106] (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6107] (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [6107] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6108] unequally_directed_lines(skolem_N7979, skolem_N7979), unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6108] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [6129] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [8666] ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [8666] BETA_IMPLY : ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [8667] ~(line(skolem_N7979) & line(skolem_N7979))
% 147.15/22.43 -> [8668] (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [8667] BETA_NOT_AND : ~(line(skolem_N7979) & line(skolem_N7979))
% 147.15/22.43 -> [8700] ~line(skolem_N7979)
% 147.15/22.43 -> [8701] ~line(skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [8701] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [8881] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [8881] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [8884] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8885] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [8884] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8975] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [8976] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [8976] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [8975] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [8885] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8889] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [8890] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [8890] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9116] ~(left_apart_point(A39_574_9, L40_574_9) | left_apart_point(A39_574_9, reverse_line(L40_574_9)))
% 147.15/22.43
% 147.15/22.43 [9116] ALPHA_NOT_OR : ~(left_apart_point(A39_574_9, L40_574_9) | left_apart_point(A39_574_9, reverse_line(L40_574_9)))
% 147.15/22.43 -> [9119] ~left_apart_point(A39_574_9, L40_574_9), ~left_apart_point(A39_574_9, reverse_line(L40_574_9))
% 147.15/22.43
% 147.15/22.43 [9119] CLOSURE : ~left_apart_point(A39_574_9, L40_574_9)
% 147.15/22.43
% 147.15/22.43 [8889] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9205] ~(left_apart_point(A39_580_9, L40_580_9) | left_apart_point(A39_580_9, reverse_line(L40_580_9)))
% 147.15/22.43
% 147.15/22.43 [9205] ALPHA_NOT_OR : ~(left_apart_point(A39_580_9, L40_580_9) | left_apart_point(A39_580_9, reverse_line(L40_580_9)))
% 147.15/22.43 -> [9209] ~left_apart_point(A39_580_9, L40_580_9), ~left_apart_point(A39_580_9, reverse_line(L40_580_9))
% 147.15/22.43
% 147.15/22.43 [9209] CLOSURE : ~left_apart_point(A39_580_9, L40_580_9)
% 147.15/22.43
% 147.15/22.43 [8700] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [8957] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [8957] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [8962] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8963] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [8962] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [9010] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [9011] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [9011] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [9010] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [8963] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8964] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [8965] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [8965] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9196] ~(left_apart_point(A39_579_9, L40_579_9) | left_apart_point(A39_579_9, reverse_line(L40_579_9)))
% 147.15/22.43
% 147.15/22.43 [9196] ALPHA_NOT_OR : ~(left_apart_point(A39_579_9, L40_579_9) | left_apart_point(A39_579_9, reverse_line(L40_579_9)))
% 147.15/22.43 -> [9197] ~left_apart_point(A39_579_9, L40_579_9), ~left_apart_point(A39_579_9, reverse_line(L40_579_9))
% 147.15/22.43
% 147.15/22.43 [9197] CLOSURE : ~left_apart_point(A39_579_9, L40_579_9)
% 147.15/22.43
% 147.15/22.43 [8964] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9266] ~(left_apart_point(A39_585_9, L40_585_9) | left_apart_point(A39_585_9, reverse_line(L40_585_9)))
% 147.15/22.43
% 147.15/22.43 [9266] ALPHA_NOT_OR : ~(left_apart_point(A39_585_9, L40_585_9) | left_apart_point(A39_585_9, reverse_line(L40_585_9)))
% 147.15/22.43 -> [9267] ~left_apart_point(A39_585_9, L40_585_9), ~left_apart_point(A39_585_9, reverse_line(L40_585_9))
% 147.15/22.43
% 147.15/22.43 [9267] CLOSURE : ~left_apart_point(A39_585_9, L40_585_9)
% 147.15/22.43
% 147.15/22.43 [8668] BETA_OR : (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8673] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 147.15/22.43 -> [8674] unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [8673] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [8674] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [8897] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [8897] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [8898] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8899] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [8899] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8904] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [8905] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [8904] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9149] ~(left_apart_point(A39_576_9, L40_576_9) | left_apart_point(A39_576_9, reverse_line(L40_576_9)))
% 147.15/22.43
% 147.15/22.43 [9149] ALPHA_NOT_OR : ~(left_apart_point(A39_576_9, L40_576_9) | left_apart_point(A39_576_9, reverse_line(L40_576_9)))
% 147.15/22.43 -> [9151] ~left_apart_point(A39_576_9, L40_576_9), ~left_apart_point(A39_576_9, reverse_line(L40_576_9))
% 147.15/22.43
% 147.15/22.43 [9151] CLOSURE : ~left_apart_point(A39_576_9, L40_576_9)
% 147.15/22.43
% 147.15/22.43 [8905] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9180] ~(left_apart_point(A39_578_9, L40_578_9) | left_apart_point(A39_578_9, reverse_line(L40_578_9)))
% 147.15/22.43
% 147.15/22.43 [9180] ALPHA_NOT_OR : ~(left_apart_point(A39_578_9, L40_578_9) | left_apart_point(A39_578_9, reverse_line(L40_578_9)))
% 147.15/22.43 -> [9185] ~left_apart_point(A39_578_9, L40_578_9), ~left_apart_point(A39_578_9, reverse_line(L40_578_9))
% 147.15/22.43
% 147.15/22.43 [9185] CLOSURE : ~left_apart_point(A39_578_9, L40_578_9)
% 147.15/22.43
% 147.15/22.43 [8898] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8986] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [8987] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [8986] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [8987] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [329] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [636] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [636] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [653] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [653] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.43 -> [655] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [656] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [655] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [656] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.43 -> [1858] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43 -> [1859] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [1858] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [1859] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [2289] ~distinct_lines(N27_83_3, N27_83_3)
% 147.15/22.43
% 147.15/22.43 [2289] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [2889] (distinct_lines(N27_83_3, N27_83_3) => (distinct_lines(N27_83_3, N27_83_3) | distinct_lines(N27_83_3, N27_83_3)))
% 147.15/22.43
% 147.15/22.43 [2889] BETA_IMPLY : (distinct_lines(N27_83_3, N27_83_3) => (distinct_lines(N27_83_3, N27_83_3) | distinct_lines(N27_83_3, N27_83_3)))
% 147.15/22.43 -> [2890] ~distinct_lines(N27_83_3, N27_83_3)
% 147.15/22.43 -> [2891] (distinct_lines(N27_83_3, N27_83_3) | distinct_lines(N27_83_3, N27_83_3))
% 147.15/22.43
% 147.15/22.43 [2891] BETA_OR : (distinct_lines(N27_83_3, N27_83_3) | distinct_lines(N27_83_3, N27_83_3))
% 147.15/22.43 -> [2895] distinct_lines(N27_83_3, N27_83_3)
% 147.15/22.43 -> [2896] distinct_lines(N27_83_3, N27_83_3)
% 147.15/22.43
% 147.15/22.43 [2896] CLOSURE : distinct_lines(N27_83_3, N27_83_3)
% 147.15/22.43
% 147.15/22.43 [2895] CLOSURE : distinct_lines(N27_83_3, N27_83_3)
% 147.15/22.43
% 147.15/22.43 [2890] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [2918] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [2918] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [3004] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43
% 147.15/22.43 [3004] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43 -> [3007] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43 -> [3008] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [3007] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [3008] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43 -> [3877] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43 -> [3878] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [3878] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [3877] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [5019] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_62_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_62_6))) | (unequally_directed_lines(skolem_N7979, N34_62_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_62_6)))))
% 147.15/22.43
% 147.15/22.43 [5019] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_62_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_62_6))) | (unequally_directed_lines(skolem_N7979, N34_62_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_62_6)))))
% 147.15/22.43 -> [5022] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [5023] ((unequally_directed_lines(skolem_M7878, N34_62_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_62_6))) | (unequally_directed_lines(skolem_N7979, N34_62_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_62_6))))
% 147.15/22.43
% 147.15/22.43 [5022] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [5087] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [5088] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [5088] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [5087] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [5023] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_62_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_62_6))) | (unequally_directed_lines(skolem_N7979, N34_62_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_62_6))))
% 147.15/22.43 -> [8803] (unequally_directed_lines(skolem_M7878, N34_62_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_62_6)))
% 147.15/22.43 -> [8804] (unequally_directed_lines(skolem_N7979, N34_62_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_62_6)))
% 147.15/22.43
% 147.15/22.43 [8803] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_62_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_62_6)))
% 147.15/22.43 -> [8827] unequally_directed_lines(skolem_M7878, N34_62_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_62_6))
% 147.15/22.43
% 147.15/22.43 [8827] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [9095] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.43
% 147.15/22.43 [9095] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.43 -> [9097] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43 -> [9098] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43
% 147.15/22.43 [9098] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43 -> [9106] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43 -> [9107] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [9106] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [9107] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [9208] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [9208] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [9213] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9214] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [9213] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9276] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [9277] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9276] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [9277] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9214] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9220] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [9221] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9220] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9701] ~(left_apart_point(A39_646_9, L40_646_9) | left_apart_point(A39_646_9, reverse_line(L40_646_9)))
% 147.15/22.43
% 147.15/22.43 [9701] ALPHA_NOT_OR : ~(left_apart_point(A39_646_9, L40_646_9) | left_apart_point(A39_646_9, reverse_line(L40_646_9)))
% 147.15/22.43 -> [9702] ~left_apart_point(A39_646_9, L40_646_9), ~left_apart_point(A39_646_9, reverse_line(L40_646_9))
% 147.15/22.43
% 147.15/22.43 [9702] CLOSURE : ~left_apart_point(A39_646_9, L40_646_9)
% 147.15/22.43
% 147.15/22.43 [9221] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [10418] ~(left_apart_point(A39_741_9, L40_741_9) | left_apart_point(A39_741_9, reverse_line(L40_741_9)))
% 147.15/22.43
% 147.15/22.43 [10418] ALPHA_NOT_OR : ~(left_apart_point(A39_741_9, L40_741_9) | left_apart_point(A39_741_9, reverse_line(L40_741_9)))
% 147.15/22.43 -> [10419] ~left_apart_point(A39_741_9, L40_741_9), ~left_apart_point(A39_741_9, reverse_line(L40_741_9))
% 147.15/22.43
% 147.15/22.43 [10419] CLOSURE : ~left_apart_point(A39_741_9, L40_741_9)
% 147.15/22.43
% 147.15/22.43 [9097] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43 -> [9122] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43 -> [9123] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [9123] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [9187] ((unequally_directed_lines(skolem_M7878, M38_305_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_305_8))) => (left_convergent_lines(skolem_M7878, M38_305_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_305_8))))
% 147.15/22.43
% 147.15/22.43 [9187] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_305_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_305_8))) => (left_convergent_lines(skolem_M7878, M38_305_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_305_8))))
% 147.15/22.43 -> [9192] ~(unequally_directed_lines(skolem_M7878, M38_305_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_305_8)))
% 147.15/22.43 -> [9193] (left_convergent_lines(skolem_M7878, M38_305_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_305_8)))
% 147.15/22.43
% 147.15/22.43 [9192] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_305_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_305_8)))
% 147.15/22.43 -> [9263] ~unequally_directed_lines(skolem_M7878, M38_305_8)
% 147.15/22.43 -> [9264] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_305_8))
% 147.15/22.43
% 147.15/22.43 [9264] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_305_8))
% 147.15/22.43
% 147.15/22.43 [9263] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_305_8)
% 147.15/22.43
% 147.15/22.43 [9193] BETA_OR : (left_convergent_lines(skolem_M7878, M38_305_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_305_8)))
% 147.15/22.43 -> [9198] left_convergent_lines(skolem_M7878, M38_305_8)
% 147.15/22.43 -> [9199] left_convergent_lines(skolem_M7878, reverse_line(M38_305_8))
% 147.15/22.43
% 147.15/22.43 [9199] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9349] ~(left_apart_point(A39_602_9, L40_602_9) | left_apart_point(A39_602_9, reverse_line(L40_602_9)))
% 147.15/22.43
% 147.15/22.43 [9349] ALPHA_NOT_OR : ~(left_apart_point(A39_602_9, L40_602_9) | left_apart_point(A39_602_9, reverse_line(L40_602_9)))
% 147.15/22.43 -> [9350] ~left_apart_point(A39_602_9, L40_602_9), ~left_apart_point(A39_602_9, reverse_line(L40_602_9))
% 147.15/22.43
% 147.15/22.43 [9350] CLOSURE : ~left_apart_point(A39_602_9, L40_602_9)
% 147.15/22.43
% 147.15/22.43 [9198] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [10564] ~(left_apart_point(A39_761_9, L40_761_9) | left_apart_point(A39_761_9, reverse_line(L40_761_9)))
% 147.15/22.43
% 147.15/22.43 [10564] ALPHA_NOT_OR : ~(left_apart_point(A39_761_9, L40_761_9) | left_apart_point(A39_761_9, reverse_line(L40_761_9)))
% 147.15/22.43 -> [10568] ~left_apart_point(A39_761_9, L40_761_9), ~left_apart_point(A39_761_9, reverse_line(L40_761_9))
% 147.15/22.43
% 147.15/22.43 [10568] CLOSURE : ~left_apart_point(A39_761_9, L40_761_9)
% 147.15/22.43
% 147.15/22.43 [9122] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [9249] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [9249] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [9250] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9251] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [9250] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9306] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [9307] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9306] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [9307] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9251] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9256] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [9257] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9256] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9351] ~(left_apart_point(A39_603_9, L40_603_9) | left_apart_point(A39_603_9, reverse_line(L40_603_9)))
% 147.15/22.43
% 147.15/22.43 [9351] ALPHA_NOT_OR : ~(left_apart_point(A39_603_9, L40_603_9) | left_apart_point(A39_603_9, reverse_line(L40_603_9)))
% 147.15/22.43 -> [9352] ~left_apart_point(A39_603_9, L40_603_9), ~left_apart_point(A39_603_9, reverse_line(L40_603_9))
% 147.15/22.43
% 147.15/22.43 [9352] CLOSURE : ~left_apart_point(A39_603_9, L40_603_9)
% 147.15/22.43
% 147.15/22.43 [9257] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [10920] ~(left_apart_point(A39_803_9, L40_803_9) | left_apart_point(A39_803_9, reverse_line(L40_803_9)))
% 147.15/22.43
% 147.15/22.43 [10920] ALPHA_NOT_OR : ~(left_apart_point(A39_803_9, L40_803_9) | left_apart_point(A39_803_9, reverse_line(L40_803_9)))
% 147.15/22.43 -> [10923] ~left_apart_point(A39_803_9, L40_803_9), ~left_apart_point(A39_803_9, reverse_line(L40_803_9))
% 147.15/22.43
% 147.15/22.43 [10923] CLOSURE : ~left_apart_point(A39_803_9, L40_803_9)
% 147.15/22.43
% 147.15/22.43 [8804] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_62_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_62_6)))
% 147.15/22.43 -> [8808] unequally_directed_lines(skolem_N7979, N34_62_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_62_6))
% 147.15/22.43
% 147.15/22.43 [8808] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [8900] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.43
% 147.15/22.43 [8900] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.43 -> [8901] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43 -> [8902] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43
% 147.15/22.43 [8902] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43 -> [8908] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43 -> [8909] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [8908] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [8909] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [8949] ((unequally_directed_lines(skolem_N7979, M38_291_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_291_8))) => (left_convergent_lines(skolem_N7979, M38_291_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_291_8))))
% 147.15/22.43
% 147.15/22.43 [8949] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_291_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_291_8))) => (left_convergent_lines(skolem_N7979, M38_291_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_291_8))))
% 147.15/22.43 -> [8951] ~(unequally_directed_lines(skolem_N7979, M38_291_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_291_8)))
% 147.15/22.43 -> [8952] (left_convergent_lines(skolem_N7979, M38_291_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_291_8)))
% 147.15/22.43
% 147.15/22.43 [8952] BETA_OR : (left_convergent_lines(skolem_N7979, M38_291_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_291_8)))
% 147.15/22.43 -> [8960] left_convergent_lines(skolem_N7979, M38_291_8)
% 147.15/22.43 -> [8961] left_convergent_lines(skolem_N7979, reverse_line(M38_291_8))
% 147.15/22.43
% 147.15/22.43 [8961] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9530] ~(left_apart_point(A39_612_9, L40_612_9) | left_apart_point(A39_612_9, reverse_line(L40_612_9)))
% 147.15/22.43
% 147.15/22.43 [9530] ALPHA_NOT_OR : ~(left_apart_point(A39_612_9, L40_612_9) | left_apart_point(A39_612_9, reverse_line(L40_612_9)))
% 147.15/22.43 -> [9533] ~left_apart_point(A39_612_9, L40_612_9), ~left_apart_point(A39_612_9, reverse_line(L40_612_9))
% 147.15/22.43
% 147.15/22.43 [9533] CLOSURE : ~left_apart_point(A39_612_9, L40_612_9)
% 147.15/22.43
% 147.15/22.43 [8960] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9612] ~(left_apart_point(A39_631_9, L40_631_9) | left_apart_point(A39_631_9, reverse_line(L40_631_9)))
% 147.15/22.43
% 147.15/22.43 [9612] ALPHA_NOT_OR : ~(left_apart_point(A39_631_9, L40_631_9) | left_apart_point(A39_631_9, reverse_line(L40_631_9)))
% 147.15/22.43 -> [9613] ~left_apart_point(A39_631_9, L40_631_9), ~left_apart_point(A39_631_9, reverse_line(L40_631_9))
% 147.15/22.43
% 147.15/22.43 [9613] CLOSURE : ~left_apart_point(A39_631_9, L40_631_9)
% 147.15/22.43
% 147.15/22.43 [8951] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_291_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_291_8)))
% 147.15/22.43 -> [9190] ~unequally_directed_lines(skolem_N7979, M38_291_8)
% 147.15/22.43 -> [9191] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_291_8))
% 147.15/22.43
% 147.15/22.43 [9191] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_291_8))
% 147.15/22.43
% 147.15/22.43 [9190] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_291_8)
% 147.15/22.43
% 147.15/22.43 [8901] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43 -> [8921] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43 -> [8922] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [8922] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [8940] ((unequally_directed_lines(skolem_N7979, M38_290_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_290_8))) => (left_convergent_lines(skolem_N7979, M38_290_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_290_8))))
% 147.15/22.43
% 147.15/22.43 [8940] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_290_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_290_8))) => (left_convergent_lines(skolem_N7979, M38_290_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_290_8))))
% 147.15/22.43 -> [8941] ~(unequally_directed_lines(skolem_N7979, M38_290_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_290_8)))
% 147.15/22.43 -> [8942] (left_convergent_lines(skolem_N7979, M38_290_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_290_8)))
% 147.15/22.43
% 147.15/22.43 [8941] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_290_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_290_8)))
% 147.15/22.43 -> [8982] ~unequally_directed_lines(skolem_N7979, M38_290_8)
% 147.15/22.43 -> [8983] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_290_8))
% 147.15/22.43
% 147.15/22.43 [8983] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_290_8))
% 147.15/22.43
% 147.15/22.43 [8982] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_290_8)
% 147.15/22.43
% 147.15/22.43 [8942] BETA_OR : (left_convergent_lines(skolem_N7979, M38_290_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_290_8)))
% 147.15/22.43 -> [8945] left_convergent_lines(skolem_N7979, M38_290_8)
% 147.15/22.43 -> [8946] left_convergent_lines(skolem_N7979, reverse_line(M38_290_8))
% 147.15/22.43
% 147.15/22.43 [8945] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9041] ~(left_apart_point(A39_568_9, L40_568_9) | left_apart_point(A39_568_9, reverse_line(L40_568_9)))
% 147.15/22.43
% 147.15/22.43 [9041] ALPHA_NOT_OR : ~(left_apart_point(A39_568_9, L40_568_9) | left_apart_point(A39_568_9, reverse_line(L40_568_9)))
% 147.15/22.43 -> [9043] ~left_apart_point(A39_568_9, L40_568_9), ~left_apart_point(A39_568_9, reverse_line(L40_568_9))
% 147.15/22.43
% 147.15/22.43 [9043] CLOSURE : ~left_apart_point(A39_568_9, L40_568_9)
% 147.15/22.43
% 147.15/22.43 [8946] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9323] ~(left_apart_point(A39_598_9, L40_598_9) | left_apart_point(A39_598_9, reverse_line(L40_598_9)))
% 147.15/22.43
% 147.15/22.43 [9323] ALPHA_NOT_OR : ~(left_apart_point(A39_598_9, L40_598_9) | left_apart_point(A39_598_9, reverse_line(L40_598_9)))
% 147.15/22.43 -> [9326] ~left_apart_point(A39_598_9, L40_598_9), ~left_apart_point(A39_598_9, reverse_line(L40_598_9))
% 147.15/22.43
% 147.15/22.43 [9326] CLOSURE : ~left_apart_point(A39_598_9, L40_598_9)
% 147.15/22.43
% 147.15/22.43 [8921] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [8966] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [8966] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [8968] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8969] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [8969] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8978] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [8979] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [8978] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9005] ~(left_apart_point(A39_561_9, L40_561_9) | left_apart_point(A39_561_9, reverse_line(L40_561_9)))
% 147.15/22.43
% 147.15/22.43 [9005] ALPHA_NOT_OR : ~(left_apart_point(A39_561_9, L40_561_9) | left_apart_point(A39_561_9, reverse_line(L40_561_9)))
% 147.15/22.43 -> [9006] ~left_apart_point(A39_561_9, L40_561_9), ~left_apart_point(A39_561_9, reverse_line(L40_561_9))
% 147.15/22.43
% 147.15/22.43 [9006] CLOSURE : ~left_apart_point(A39_561_9, L40_561_9)
% 147.15/22.43
% 147.15/22.43 [8979] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9007] ~(left_apart_point(A39_562_9, L40_562_9) | left_apart_point(A39_562_9, reverse_line(L40_562_9)))
% 147.15/22.43
% 147.15/22.43 [9007] ALPHA_NOT_OR : ~(left_apart_point(A39_562_9, L40_562_9) | left_apart_point(A39_562_9, reverse_line(L40_562_9)))
% 147.15/22.43 -> [9008] ~left_apart_point(A39_562_9, L40_562_9), ~left_apart_point(A39_562_9, reverse_line(L40_562_9))
% 147.15/22.43
% 147.15/22.43 [9008] CLOSURE : ~left_apart_point(A39_562_9, L40_562_9)
% 147.15/22.43
% 147.15/22.43 [8968] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [9309] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [9310] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [9310] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [9309] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [310] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [342] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.43 -> [343] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [343] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [792] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [792] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [795] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43 -> [796] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [795] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [796] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [342] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [755] ~distinct_points(A20_35_0, A20_35_0)
% 147.15/22.43
% 147.15/22.43 [755] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [849] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43
% 147.15/22.43 [849] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [850] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [851] (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [850] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [851] BETA_OR : (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [2179] distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.43 -> [2180] distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.43
% 147.15/22.43 [2179] CLOSURE : distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.43
% 147.15/22.43 [2180] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [3391] ~distinct_lines(M26_115_3, M26_115_3)
% 147.15/22.43
% 147.15/22.43 [3391] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [3581] (distinct_lines(M26_115_3, M26_115_3) => (distinct_lines(M26_115_3, M26_115_3) | distinct_lines(M26_115_3, M26_115_3)))
% 147.15/22.43
% 147.15/22.43 [3581] BETA_IMPLY : (distinct_lines(M26_115_3, M26_115_3) => (distinct_lines(M26_115_3, M26_115_3) | distinct_lines(M26_115_3, M26_115_3)))
% 147.15/22.43 -> [3583] ~distinct_lines(M26_115_3, M26_115_3)
% 147.15/22.43 -> [3584] (distinct_lines(M26_115_3, M26_115_3) | distinct_lines(M26_115_3, M26_115_3))
% 147.15/22.43
% 147.15/22.43 [3584] BETA_OR : (distinct_lines(M26_115_3, M26_115_3) | distinct_lines(M26_115_3, M26_115_3))
% 147.15/22.43 -> [3587] distinct_lines(M26_115_3, M26_115_3)
% 147.15/22.43 -> [3588] distinct_lines(M26_115_3, M26_115_3)
% 147.15/22.43
% 147.15/22.43 [3587] CLOSURE : distinct_lines(M26_115_3, M26_115_3)
% 147.15/22.43
% 147.15/22.43 [3588] CLOSURE : distinct_lines(M26_115_3, M26_115_3)
% 147.15/22.43
% 147.15/22.43 [3583] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [3834] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [3834] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [4018] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43
% 147.15/22.43 [4018] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43 -> [4020] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43 -> [4021] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [4020] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [4021] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43 -> [7401] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43 -> [7402] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [7402] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [7401] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [9433] ((unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))) => ((unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))) | (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))))
% 147.15/22.43
% 147.15/22.43 [9433] BETA_IMPLY : ((unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))) => ((unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))) | (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))))
% 147.15/22.43 -> [9436] ~(unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43 -> [9437] ((unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))) | (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.43
% 147.15/22.43 [9437] BETA_OR : ((unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))) | (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.43 -> [9443] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43 -> [9444] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43
% 147.15/22.43 [9444] ALPHA_AND : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43 -> [9451] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)), unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [9451] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [9497] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [9436] BETA_NOT_AND : ~(unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43 -> [9972] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43 -> [9973] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [9972] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [10079] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.43
% 147.15/22.43 [10079] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.43 -> [10080] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43 -> [10081] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43
% 147.15/22.43 [10080] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43 -> [10147] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43 -> [10148] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [10148] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [10659] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [10659] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [10660] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [10661] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [10660] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [10681] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [10682] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [10682] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [10681] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [10661] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [10666] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [10667] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [10667] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [10898] ~(left_apart_point(A39_798_9, L40_798_9) | left_apart_point(A39_798_9, reverse_line(L40_798_9)))
% 147.15/22.43
% 147.15/22.43 [10898] ALPHA_NOT_OR : ~(left_apart_point(A39_798_9, L40_798_9) | left_apart_point(A39_798_9, reverse_line(L40_798_9)))
% 147.15/22.43 -> [10899] ~left_apart_point(A39_798_9, L40_798_9), ~left_apart_point(A39_798_9, reverse_line(L40_798_9))
% 147.15/22.43
% 147.15/22.43 [10899] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [10917] ~(left_convergent_lines(L41_215_10, M42_215_10) | left_convergent_lines(L41_215_10, reverse_line(M42_215_10)))
% 147.15/22.43
% 147.15/22.43 [10917] ALPHA_NOT_OR : ~(left_convergent_lines(L41_215_10, M42_215_10) | left_convergent_lines(L41_215_10, reverse_line(M42_215_10)))
% 147.15/22.43 -> [10918] ~left_convergent_lines(L41_215_10, M42_215_10), ~left_convergent_lines(L41_215_10, reverse_line(M42_215_10))
% 147.15/22.43
% 147.15/22.43 [10918] CLOSURE : ~left_convergent_lines(L41_215_10, M42_215_10)
% 147.15/22.43
% 147.15/22.43 [10666] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [10777] ~(left_apart_point(A39_786_9, L40_786_9) | left_apart_point(A39_786_9, reverse_line(L40_786_9)))
% 147.15/22.43
% 147.15/22.43 [10777] ALPHA_NOT_OR : ~(left_apart_point(A39_786_9, L40_786_9) | left_apart_point(A39_786_9, reverse_line(L40_786_9)))
% 147.15/22.43 -> [10782] ~left_apart_point(A39_786_9, L40_786_9), ~left_apart_point(A39_786_9, reverse_line(L40_786_9))
% 147.15/22.43
% 147.15/22.43 [10782] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [11094] ~(left_convergent_lines(L41_218_10, M42_218_10) | left_convergent_lines(L41_218_10, reverse_line(M42_218_10)))
% 147.15/22.43
% 147.15/22.43 [11094] ALPHA_NOT_OR : ~(left_convergent_lines(L41_218_10, M42_218_10) | left_convergent_lines(L41_218_10, reverse_line(M42_218_10)))
% 147.15/22.43 -> [11097] ~left_convergent_lines(L41_218_10, M42_218_10), ~left_convergent_lines(L41_218_10, reverse_line(M42_218_10))
% 147.15/22.43
% 147.15/22.43 [11097] CLOSURE : ~left_convergent_lines(L41_218_10, M42_218_10)
% 147.15/22.43
% 147.15/22.43 [10147] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [10607] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [10607] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [10614] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [10615] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [10615] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [10621] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [10622] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [10622] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [10718] ~(left_apart_point(A39_780_9, L40_780_9) | left_apart_point(A39_780_9, reverse_line(L40_780_9)))
% 147.15/22.43
% 147.15/22.43 [10718] ALPHA_NOT_OR : ~(left_apart_point(A39_780_9, L40_780_9) | left_apart_point(A39_780_9, reverse_line(L40_780_9)))
% 147.15/22.43 -> [10719] ~left_apart_point(A39_780_9, L40_780_9), ~left_apart_point(A39_780_9, reverse_line(L40_780_9))
% 147.15/22.43
% 147.15/22.43 [10719] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [10901] ~(left_convergent_lines(L41_214_10, M42_214_10) | left_convergent_lines(L41_214_10, reverse_line(M42_214_10)))
% 147.15/22.43
% 147.15/22.43 [10901] ALPHA_NOT_OR : ~(left_convergent_lines(L41_214_10, M42_214_10) | left_convergent_lines(L41_214_10, reverse_line(M42_214_10)))
% 147.15/22.43 -> [10904] ~left_convergent_lines(L41_214_10, M42_214_10), ~left_convergent_lines(L41_214_10, reverse_line(M42_214_10))
% 147.15/22.43
% 147.15/22.43 [10904] CLOSURE : ~left_convergent_lines(L41_214_10, M42_214_10)
% 147.15/22.43
% 147.15/22.43 [10621] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [10751] ~(left_apart_point(A39_784_9, L40_784_9) | left_apart_point(A39_784_9, reverse_line(L40_784_9)))
% 147.15/22.43
% 147.15/22.43 [10751] ALPHA_NOT_OR : ~(left_apart_point(A39_784_9, L40_784_9) | left_apart_point(A39_784_9, reverse_line(L40_784_9)))
% 147.15/22.43 -> [10754] ~left_apart_point(A39_784_9, L40_784_9), ~left_apart_point(A39_784_9, reverse_line(L40_784_9))
% 147.15/22.43
% 147.15/22.43 [10754] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [10919] ~(left_convergent_lines(L41_216_10, M42_216_10) | left_convergent_lines(L41_216_10, reverse_line(M42_216_10)))
% 147.15/22.43
% 147.15/22.43 [10919] ALPHA_NOT_OR : ~(left_convergent_lines(L41_216_10, M42_216_10) | left_convergent_lines(L41_216_10, reverse_line(M42_216_10)))
% 147.15/22.43 -> [10924] ~left_convergent_lines(L41_216_10, M42_216_10), ~left_convergent_lines(L41_216_10, reverse_line(M42_216_10))
% 147.15/22.43
% 147.15/22.43 [10924] CLOSURE : ~left_convergent_lines(L41_216_10, M42_216_10)
% 147.15/22.43
% 147.15/22.43 [10614] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [10670] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [10671] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [10671] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [10670] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [10081] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43 -> [10085] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43 -> [10086] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [10085] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [10086] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [10723] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [10723] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [10724] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [10725] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [10724] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [10761] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [10762] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [10762] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [10761] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [10725] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [10728] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [10729] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [10728] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [10928] ~(left_apart_point(A39_805_9, L40_805_9) | left_apart_point(A39_805_9, reverse_line(L40_805_9)))
% 147.15/22.43
% 147.15/22.43 [10928] ALPHA_NOT_OR : ~(left_apart_point(A39_805_9, L40_805_9) | left_apart_point(A39_805_9, reverse_line(L40_805_9)))
% 147.15/22.43 -> [10933] ~left_apart_point(A39_805_9, L40_805_9), ~left_apart_point(A39_805_9, reverse_line(L40_805_9))
% 147.15/22.43
% 147.15/22.43 [10933] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [11296] ~(left_convergent_lines(L41_223_10, M42_223_10) | left_convergent_lines(L41_223_10, reverse_line(M42_223_10)))
% 147.15/22.43
% 147.15/22.43 [11296] ALPHA_NOT_OR : ~(left_convergent_lines(L41_223_10, M42_223_10) | left_convergent_lines(L41_223_10, reverse_line(M42_223_10)))
% 147.15/22.43 -> [11302] ~left_convergent_lines(L41_223_10, M42_223_10), ~left_convergent_lines(L41_223_10, reverse_line(M42_223_10))
% 147.15/22.43
% 147.15/22.43 [11302] CLOSURE : ~left_convergent_lines(L41_223_10, M42_223_10)
% 147.15/22.43
% 147.15/22.43 [10729] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [10872] ~(left_apart_point(A39_793_9, L40_793_9) | left_apart_point(A39_793_9, reverse_line(L40_793_9)))
% 147.15/22.43
% 147.15/22.43 [10872] ALPHA_NOT_OR : ~(left_apart_point(A39_793_9, L40_793_9) | left_apart_point(A39_793_9, reverse_line(L40_793_9)))
% 147.15/22.43 -> [10875] ~left_apart_point(A39_793_9, L40_793_9), ~left_apart_point(A39_793_9, reverse_line(L40_793_9))
% 147.15/22.43
% 147.15/22.43 [10875] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [11439] ~(left_convergent_lines(L41_225_10, M42_225_10) | left_convergent_lines(L41_225_10, reverse_line(M42_225_10)))
% 147.15/22.43
% 147.15/22.43 [11439] ALPHA_NOT_OR : ~(left_convergent_lines(L41_225_10, M42_225_10) | left_convergent_lines(L41_225_10, reverse_line(M42_225_10)))
% 147.15/22.43 -> [11446] ~left_convergent_lines(L41_225_10, M42_225_10), ~left_convergent_lines(L41_225_10, reverse_line(M42_225_10))
% 147.15/22.43
% 147.15/22.43 [11446] CLOSURE : ~left_convergent_lines(L41_225_10, M42_225_10)
% 147.15/22.43
% 147.15/22.43 [9973] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [10095] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.43
% 147.15/22.43 [10095] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.43 -> [10102] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43 -> [10103] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43
% 147.15/22.43 [10103] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.43 -> [10113] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43 -> [10114] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [10114] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [10113] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [10102] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43 -> [10154] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43 -> [10155] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [10154] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [10830] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [10830] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [10834] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [10835] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [10835] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [10838] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [10839] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [10839] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [10992] ~(left_apart_point(A39_816_9, L40_816_9) | left_apart_point(A39_816_9, reverse_line(L40_816_9)))
% 147.15/22.43
% 147.15/22.43 [10992] ALPHA_NOT_OR : ~(left_apart_point(A39_816_9, L40_816_9) | left_apart_point(A39_816_9, reverse_line(L40_816_9)))
% 147.15/22.43 -> [10994] ~left_apart_point(A39_816_9, L40_816_9), ~left_apart_point(A39_816_9, reverse_line(L40_816_9))
% 147.15/22.43
% 147.15/22.43 [10994] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [11202] ~(left_convergent_lines(L41_219_10, M42_219_10) | left_convergent_lines(L41_219_10, reverse_line(M42_219_10)))
% 147.15/22.43
% 147.15/22.43 [11202] ALPHA_NOT_OR : ~(left_convergent_lines(L41_219_10, M42_219_10) | left_convergent_lines(L41_219_10, reverse_line(M42_219_10)))
% 147.15/22.43 -> [11203] ~left_convergent_lines(L41_219_10, M42_219_10), ~left_convergent_lines(L41_219_10, reverse_line(M42_219_10))
% 147.15/22.43
% 147.15/22.43 [11203] CLOSURE : ~left_convergent_lines(L41_219_10, M42_219_10)
% 147.15/22.43
% 147.15/22.43 [10838] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [11047] ~(left_apart_point(A39_823_9, L40_823_9) | left_apart_point(A39_823_9, reverse_line(L40_823_9)))
% 147.15/22.43
% 147.15/22.43 [11047] ALPHA_NOT_OR : ~(left_apart_point(A39_823_9, L40_823_9) | left_apart_point(A39_823_9, reverse_line(L40_823_9)))
% 147.15/22.43 -> [11048] ~left_apart_point(A39_823_9, L40_823_9), ~left_apart_point(A39_823_9, reverse_line(L40_823_9))
% 147.15/22.43
% 147.15/22.43 [11048] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [11249] ~(left_convergent_lines(L41_221_10, M42_221_10) | left_convergent_lines(L41_221_10, reverse_line(M42_221_10)))
% 147.15/22.43
% 147.15/22.43 [11249] ALPHA_NOT_OR : ~(left_convergent_lines(L41_221_10, M42_221_10) | left_convergent_lines(L41_221_10, reverse_line(M42_221_10)))
% 147.15/22.43 -> [11250] ~left_convergent_lines(L41_221_10, M42_221_10), ~left_convergent_lines(L41_221_10, reverse_line(M42_221_10))
% 147.15/22.43
% 147.15/22.43 [11250] CLOSURE : ~left_convergent_lines(L41_221_10, M42_221_10)
% 147.15/22.43
% 147.15/22.43 [10834] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [10852] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [10853] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [10853] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [10852] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [10155] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [10790] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [10790] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [10795] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [10796] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [10795] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [10802] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [10803] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [10802] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [10803] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [10796] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [10988] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [10989] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [10989] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [11100] ~(left_apart_point(A39_834_9, L40_834_9) | left_apart_point(A39_834_9, reverse_line(L40_834_9)))
% 147.15/22.43
% 147.15/22.43 [11100] ALPHA_NOT_OR : ~(left_apart_point(A39_834_9, L40_834_9) | left_apart_point(A39_834_9, reverse_line(L40_834_9)))
% 147.15/22.43 -> [11101] ~left_apart_point(A39_834_9, L40_834_9), ~left_apart_point(A39_834_9, reverse_line(L40_834_9))
% 147.15/22.43
% 147.15/22.43 [11101] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [11474] ~(left_convergent_lines(L41_228_10, M42_228_10) | left_convergent_lines(L41_228_10, reverse_line(M42_228_10)))
% 147.15/22.43
% 147.15/22.43 [11474] ALPHA_NOT_OR : ~(left_convergent_lines(L41_228_10, M42_228_10) | left_convergent_lines(L41_228_10, reverse_line(M42_228_10)))
% 147.15/22.43 -> [11480] ~left_convergent_lines(L41_228_10, M42_228_10), ~left_convergent_lines(L41_228_10, reverse_line(M42_228_10))
% 147.15/22.43
% 147.15/22.43 [11480] CLOSURE : ~left_convergent_lines(L41_228_10, M42_228_10)
% 147.15/22.43
% 147.15/22.43 [10988] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [11098] ~(left_apart_point(A39_833_9, L40_833_9) | left_apart_point(A39_833_9, reverse_line(L40_833_9)))
% 147.15/22.43
% 147.15/22.43 [11098] ALPHA_NOT_OR : ~(left_apart_point(A39_833_9, L40_833_9) | left_apart_point(A39_833_9, reverse_line(L40_833_9)))
% 147.15/22.43 -> [11099] ~left_apart_point(A39_833_9, L40_833_9), ~left_apart_point(A39_833_9, reverse_line(L40_833_9))
% 147.15/22.43
% 147.15/22.43 [11099] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [11562] ~(left_convergent_lines(L41_233_10, M42_233_10) | left_convergent_lines(L41_233_10, reverse_line(M42_233_10)))
% 147.15/22.43
% 147.15/22.43 [11562] ALPHA_NOT_OR : ~(left_convergent_lines(L41_233_10, M42_233_10) | left_convergent_lines(L41_233_10, reverse_line(M42_233_10)))
% 147.15/22.43 -> [11565] ~left_convergent_lines(L41_233_10, M42_233_10), ~left_convergent_lines(L41_233_10, reverse_line(M42_233_10))
% 147.15/22.43
% 147.15/22.43 [11565] CLOSURE : ~left_convergent_lines(L41_233_10, M42_233_10)
% 147.15/22.43
% 147.15/22.43 [145] BETA_NOT_AND : ~(((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [159] ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [160] ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [159] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [166] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [167] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [167] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [177] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [177] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [178] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [179] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [178] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [188] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43 -> [189] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [189] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [188] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [179] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43 -> [187] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [187] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [192] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43 -> [193] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [192] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [193] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [166] BETA_NOT_AND : ~((distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [207] ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [208] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [208] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43 -> [606] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [606] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [609] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.43 -> [610] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [609] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43 -> [1079] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.43 -> [1080] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [1079] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [1421] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1421] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [1436] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.43
% 147.15/22.43 [1436] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.43 -> [1437] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [1438] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.43
% 147.15/22.43 [1437] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1438] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.43 -> [2110] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [2111] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [2111] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [2110] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [3686] ~distinct_lines(N27_119_3, N27_119_3)
% 147.15/22.43
% 147.15/22.43 [3686] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [3750] (distinct_lines(N27_119_3, N27_119_3) => (distinct_lines(N27_119_3, N27_119_3) | distinct_lines(N27_119_3, N27_119_3)))
% 147.15/22.43
% 147.15/22.43 [3750] BETA_IMPLY : (distinct_lines(N27_119_3, N27_119_3) => (distinct_lines(N27_119_3, N27_119_3) | distinct_lines(N27_119_3, N27_119_3)))
% 147.15/22.43 -> [3751] ~distinct_lines(N27_119_3, N27_119_3)
% 147.15/22.43 -> [3752] (distinct_lines(N27_119_3, N27_119_3) | distinct_lines(N27_119_3, N27_119_3))
% 147.15/22.43
% 147.15/22.43 [3752] BETA_OR : (distinct_lines(N27_119_3, N27_119_3) | distinct_lines(N27_119_3, N27_119_3))
% 147.15/22.43 -> [3755] distinct_lines(N27_119_3, N27_119_3)
% 147.15/22.43 -> [3756] distinct_lines(N27_119_3, N27_119_3)
% 147.15/22.43
% 147.15/22.43 [3755] CLOSURE : distinct_lines(N27_119_3, N27_119_3)
% 147.15/22.43
% 147.15/22.43 [3756] CLOSURE : distinct_lines(N27_119_3, N27_119_3)
% 147.15/22.43
% 147.15/22.43 [3751] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [3889] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [3889] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [4144] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [4144] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.43 -> [4145] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43 -> [4146] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [4145] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [4146] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.43 -> [6116] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43 -> [6117] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [6116] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [6117] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [6155] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.43
% 147.15/22.43 [6155] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.43 -> [6156] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6157] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [6156] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6169] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [6170] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6170] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6169] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [6157] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [7156] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [7157] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [7156] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [7194] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [7194] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [7157] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [7162] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [7162] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [7439] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [7439] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [7441] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.43 -> [7442] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [7441] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.43 -> [7475] ~line(skolem_M7878)
% 147.15/22.43 -> [7476] ~line(skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [7475] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [7665] ((unequally_directed_lines(skolem_N7979, M38_217_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_217_8))) => (left_convergent_lines(skolem_N7979, M38_217_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_217_8))))
% 147.15/22.43
% 147.15/22.43 [7665] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_217_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_217_8))) => (left_convergent_lines(skolem_N7979, M38_217_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_217_8))))
% 147.15/22.43 -> [7668] ~(unequally_directed_lines(skolem_N7979, M38_217_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_217_8)))
% 147.15/22.43 -> [7669] (left_convergent_lines(skolem_N7979, M38_217_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_217_8)))
% 147.15/22.43
% 147.15/22.43 [7669] BETA_OR : (left_convergent_lines(skolem_N7979, M38_217_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_217_8)))
% 147.15/22.43 -> [7676] left_convergent_lines(skolem_N7979, M38_217_8)
% 147.15/22.43 -> [7677] left_convergent_lines(skolem_N7979, reverse_line(M38_217_8))
% 147.15/22.43
% 147.15/22.43 [7677] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [7850] ~(left_apart_point(A39_403_9, L40_403_9) | left_apart_point(A39_403_9, reverse_line(L40_403_9)))
% 147.15/22.43
% 147.15/22.43 [7850] ALPHA_NOT_OR : ~(left_apart_point(A39_403_9, L40_403_9) | left_apart_point(A39_403_9, reverse_line(L40_403_9)))
% 147.15/22.43 -> [7851] ~left_apart_point(A39_403_9, L40_403_9), ~left_apart_point(A39_403_9, reverse_line(L40_403_9))
% 147.15/22.43
% 147.15/22.43 [7851] CLOSURE : ~left_apart_point(A39_403_9, L40_403_9)
% 147.15/22.43
% 147.15/22.43 [7676] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [7880] ~(left_apart_point(A39_411_9, L40_411_9) | left_apart_point(A39_411_9, reverse_line(L40_411_9)))
% 147.15/22.43
% 147.15/22.43 [7880] ALPHA_NOT_OR : ~(left_apart_point(A39_411_9, L40_411_9) | left_apart_point(A39_411_9, reverse_line(L40_411_9)))
% 147.15/22.43 -> [7883] ~left_apart_point(A39_411_9, L40_411_9), ~left_apart_point(A39_411_9, reverse_line(L40_411_9))
% 147.15/22.43
% 147.15/22.43 [7883] CLOSURE : ~left_apart_point(A39_411_9, L40_411_9)
% 147.15/22.43
% 147.15/22.43 [7668] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_217_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_217_8)))
% 147.15/22.43 -> [7755] ~unequally_directed_lines(skolem_N7979, M38_217_8)
% 147.15/22.43 -> [7756] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_217_8))
% 147.15/22.43
% 147.15/22.43 [7756] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_217_8))
% 147.15/22.43
% 147.15/22.43 [7755] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_217_8)
% 147.15/22.43
% 147.15/22.43 [7476] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [7631] ((unequally_directed_lines(skolem_N7979, M38_213_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_213_8))) => (left_convergent_lines(skolem_N7979, M38_213_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_213_8))))
% 147.15/22.43
% 147.15/22.43 [7631] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_213_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_213_8))) => (left_convergent_lines(skolem_N7979, M38_213_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_213_8))))
% 147.15/22.43 -> [7632] ~(unequally_directed_lines(skolem_N7979, M38_213_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_213_8)))
% 147.15/22.43 -> [7633] (left_convergent_lines(skolem_N7979, M38_213_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_213_8)))
% 147.15/22.43
% 147.15/22.43 [7632] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_213_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_213_8)))
% 147.15/22.43 -> [7682] ~unequally_directed_lines(skolem_N7979, M38_213_8)
% 147.15/22.43 -> [7683] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_213_8))
% 147.15/22.43
% 147.15/22.43 [7683] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_213_8))
% 147.15/22.43
% 147.15/22.43 [7682] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_213_8)
% 147.15/22.43
% 147.15/22.43 [7633] BETA_OR : (left_convergent_lines(skolem_N7979, M38_213_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_213_8)))
% 147.15/22.43 -> [7638] left_convergent_lines(skolem_N7979, M38_213_8)
% 147.15/22.43 -> [7639] left_convergent_lines(skolem_N7979, reverse_line(M38_213_8))
% 147.15/22.43
% 147.15/22.43 [7638] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [7856] ~(left_apart_point(A39_406_9, L40_406_9) | left_apart_point(A39_406_9, reverse_line(L40_406_9)))
% 147.15/22.43
% 147.15/22.43 [7856] ALPHA_NOT_OR : ~(left_apart_point(A39_406_9, L40_406_9) | left_apart_point(A39_406_9, reverse_line(L40_406_9)))
% 147.15/22.43 -> [7857] ~left_apart_point(A39_406_9, L40_406_9), ~left_apart_point(A39_406_9, reverse_line(L40_406_9))
% 147.15/22.43
% 147.15/22.43 [7857] CLOSURE : ~left_apart_point(A39_406_9, L40_406_9)
% 147.15/22.43
% 147.15/22.43 [7639] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8125] ~(left_apart_point(A39_445_9, L40_445_9) | left_apart_point(A39_445_9, reverse_line(L40_445_9)))
% 147.15/22.43
% 147.15/22.43 [8125] ALPHA_NOT_OR : ~(left_apart_point(A39_445_9, L40_445_9) | left_apart_point(A39_445_9, reverse_line(L40_445_9)))
% 147.15/22.43 -> [8127] ~left_apart_point(A39_445_9, L40_445_9), ~left_apart_point(A39_445_9, reverse_line(L40_445_9))
% 147.15/22.43
% 147.15/22.43 [8127] CLOSURE : ~left_apart_point(A39_445_9, L40_445_9)
% 147.15/22.43
% 147.15/22.43 [7442] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [7444] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43 -> [7445] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [7444] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [7445] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [7694] ((unequally_directed_lines(skolem_N7979, M38_220_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_220_8))) => (left_convergent_lines(skolem_N7979, M38_220_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_220_8))))
% 147.15/22.43
% 147.15/22.43 [7694] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_220_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_220_8))) => (left_convergent_lines(skolem_N7979, M38_220_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_220_8))))
% 147.15/22.43 -> [7695] ~(unequally_directed_lines(skolem_N7979, M38_220_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_220_8)))
% 147.15/22.43 -> [7696] (left_convergent_lines(skolem_N7979, M38_220_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_220_8)))
% 147.15/22.43
% 147.15/22.43 [7695] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_220_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_220_8)))
% 147.15/22.43 -> [7766] ~unequally_directed_lines(skolem_N7979, M38_220_8)
% 147.15/22.43 -> [7767] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_220_8))
% 147.15/22.43
% 147.15/22.43 [7766] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_220_8)
% 147.15/22.43
% 147.15/22.43 [7767] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_220_8))
% 147.15/22.43
% 147.15/22.43 [7696] BETA_OR : (left_convergent_lines(skolem_N7979, M38_220_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_220_8)))
% 147.15/22.43 -> [7700] left_convergent_lines(skolem_N7979, M38_220_8)
% 147.15/22.43 -> [7701] left_convergent_lines(skolem_N7979, reverse_line(M38_220_8))
% 147.15/22.43
% 147.15/22.43 [7701] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [7861] ~(left_apart_point(A39_408_9, L40_408_9) | left_apart_point(A39_408_9, reverse_line(L40_408_9)))
% 147.15/22.43
% 147.15/22.43 [7861] ALPHA_NOT_OR : ~(left_apart_point(A39_408_9, L40_408_9) | left_apart_point(A39_408_9, reverse_line(L40_408_9)))
% 147.15/22.43 -> [7863] ~left_apart_point(A39_408_9, L40_408_9), ~left_apart_point(A39_408_9, reverse_line(L40_408_9))
% 147.15/22.43
% 147.15/22.43 [7863] CLOSURE : ~left_apart_point(A39_408_9, L40_408_9)
% 147.15/22.43
% 147.15/22.43 [7700] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8600] ~(left_apart_point(A39_525_9, L40_525_9) | left_apart_point(A39_525_9, reverse_line(L40_525_9)))
% 147.15/22.43
% 147.15/22.43 [8600] ALPHA_NOT_OR : ~(left_apart_point(A39_525_9, L40_525_9) | left_apart_point(A39_525_9, reverse_line(L40_525_9)))
% 147.15/22.43 -> [8604] ~left_apart_point(A39_525_9, L40_525_9), ~left_apart_point(A39_525_9, reverse_line(L40_525_9))
% 147.15/22.43
% 147.15/22.43 [8604] CLOSURE : ~left_apart_point(A39_525_9, L40_525_9)
% 147.15/22.43
% 147.15/22.43 [1080] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [1596] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [1596] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [1624] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [1624] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.43 -> [1625] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [1626] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [1625] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1626] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.43 -> [2413] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43 -> [2414] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [2413] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [2414] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [2799] ~distinct_lines(N27_79_3, N27_79_3)
% 147.15/22.43
% 147.15/22.43 [2799] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [2827] (distinct_lines(N27_79_3, N27_79_3) => (distinct_lines(N27_79_3, N27_79_3) | distinct_lines(N27_79_3, N27_79_3)))
% 147.15/22.43
% 147.15/22.43 [2827] BETA_IMPLY : (distinct_lines(N27_79_3, N27_79_3) => (distinct_lines(N27_79_3, N27_79_3) | distinct_lines(N27_79_3, N27_79_3)))
% 147.15/22.43 -> [2828] ~distinct_lines(N27_79_3, N27_79_3)
% 147.15/22.43 -> [2829] (distinct_lines(N27_79_3, N27_79_3) | distinct_lines(N27_79_3, N27_79_3))
% 147.15/22.43
% 147.15/22.43 [2829] BETA_OR : (distinct_lines(N27_79_3, N27_79_3) | distinct_lines(N27_79_3, N27_79_3))
% 147.15/22.43 -> [2833] distinct_lines(N27_79_3, N27_79_3)
% 147.15/22.43 -> [2834] distinct_lines(N27_79_3, N27_79_3)
% 147.15/22.43
% 147.15/22.43 [2834] CLOSURE : distinct_lines(N27_79_3, N27_79_3)
% 147.15/22.43
% 147.15/22.43 [2833] CLOSURE : distinct_lines(N27_79_3, N27_79_3)
% 147.15/22.43
% 147.15/22.43 [2828] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [2841] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [2841] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [2856] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [2856] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.43 -> [2857] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43 -> [2858] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [2857] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [2858] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.43 -> [3744] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43 -> [3745] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [3745] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [3744] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [3903] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_27_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_27_6))) | (unequally_directed_lines(skolem_N7979, N34_27_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_27_6)))))
% 147.15/22.43
% 147.15/22.43 [3903] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_27_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_27_6))) | (unequally_directed_lines(skolem_N7979, N34_27_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_27_6)))))
% 147.15/22.43 -> [3907] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [3908] ((unequally_directed_lines(skolem_M7878, N34_27_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_27_6))) | (unequally_directed_lines(skolem_N7979, N34_27_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_27_6))))
% 147.15/22.43
% 147.15/22.43 [3907] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [3919] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [3920] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [3920] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [3919] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [3908] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_27_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_27_6))) | (unequally_directed_lines(skolem_N7979, N34_27_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_27_6))))
% 147.15/22.43 -> [4503] (unequally_directed_lines(skolem_M7878, N34_27_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_27_6)))
% 147.15/22.43 -> [4504] (unequally_directed_lines(skolem_N7979, N34_27_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_27_6)))
% 147.15/22.43
% 147.15/22.43 [4504] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_27_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_27_6)))
% 147.15/22.43 -> [4507] unequally_directed_lines(skolem_N7979, N34_27_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_27_6))
% 147.15/22.43
% 147.15/22.43 [4507] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [4596] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [4596] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.43 -> [4597] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.43 -> [4598] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [4597] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.43 -> [4631] ~line(reverse_line(skolem_N7979))
% 147.15/22.43 -> [4632] ~line(skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [4632] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [4670] ((unequally_directed_lines(skolem_N7979, M38_52_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_52_8))) => (left_convergent_lines(skolem_N7979, M38_52_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_52_8))))
% 147.15/22.43
% 147.15/22.43 [4670] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_52_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_52_8))) => (left_convergent_lines(skolem_N7979, M38_52_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_52_8))))
% 147.15/22.43 -> [4672] ~(unequally_directed_lines(skolem_N7979, M38_52_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_52_8)))
% 147.15/22.43 -> [4673] (left_convergent_lines(skolem_N7979, M38_52_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_52_8)))
% 147.15/22.43
% 147.15/22.43 [4673] BETA_OR : (left_convergent_lines(skolem_N7979, M38_52_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_52_8)))
% 147.15/22.43 -> [4676] left_convergent_lines(skolem_N7979, M38_52_8)
% 147.15/22.43 -> [4677] left_convergent_lines(skolem_N7979, reverse_line(M38_52_8))
% 147.15/22.43
% 147.15/22.43 [4677] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [4833] ~(left_apart_point(A39_106_9, L40_106_9) | left_apart_point(A39_106_9, reverse_line(L40_106_9)))
% 147.15/22.43
% 147.15/22.43 [4833] ALPHA_NOT_OR : ~(left_apart_point(A39_106_9, L40_106_9) | left_apart_point(A39_106_9, reverse_line(L40_106_9)))
% 147.15/22.43 -> [4835] ~left_apart_point(A39_106_9, L40_106_9), ~left_apart_point(A39_106_9, reverse_line(L40_106_9))
% 147.15/22.43
% 147.15/22.43 [4835] CLOSURE : ~left_apart_point(A39_106_9, L40_106_9)
% 147.15/22.43
% 147.15/22.43 [4676] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [4886] ~(left_apart_point(A39_109_9, L40_109_9) | left_apart_point(A39_109_9, reverse_line(L40_109_9)))
% 147.15/22.43
% 147.15/22.43 [4886] ALPHA_NOT_OR : ~(left_apart_point(A39_109_9, L40_109_9) | left_apart_point(A39_109_9, reverse_line(L40_109_9)))
% 147.15/22.43 -> [4887] ~left_apart_point(A39_109_9, L40_109_9), ~left_apart_point(A39_109_9, reverse_line(L40_109_9))
% 147.15/22.43
% 147.15/22.43 [4887] CLOSURE : ~left_apart_point(A39_109_9, L40_109_9)
% 147.15/22.43
% 147.15/22.43 [4672] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_52_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_52_8)))
% 147.15/22.43 -> [4739] ~unequally_directed_lines(skolem_N7979, M38_52_8)
% 147.15/22.43 -> [4740] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_52_8))
% 147.15/22.43
% 147.15/22.43 [4740] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_52_8))
% 147.15/22.43
% 147.15/22.43 [4739] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_52_8)
% 147.15/22.43
% 147.15/22.43 [4631] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [4730] ((unequally_directed_lines(skolem_N7979, M38_56_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_56_8))) => (left_convergent_lines(skolem_N7979, M38_56_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_56_8))))
% 147.15/22.43
% 147.15/22.43 [4730] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_56_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_56_8))) => (left_convergent_lines(skolem_N7979, M38_56_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_56_8))))
% 147.15/22.43 -> [4733] ~(unequally_directed_lines(skolem_N7979, M38_56_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_56_8)))
% 147.15/22.43 -> [4734] (left_convergent_lines(skolem_N7979, M38_56_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_56_8)))
% 147.15/22.43
% 147.15/22.43 [4733] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_56_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_56_8)))
% 147.15/22.43 -> [5179] ~unequally_directed_lines(skolem_N7979, M38_56_8)
% 147.15/22.43 -> [5180] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_56_8))
% 147.15/22.43
% 147.15/22.43 [5180] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_56_8))
% 147.15/22.43
% 147.15/22.43 [5179] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_56_8)
% 147.15/22.43
% 147.15/22.43 [4734] BETA_OR : (left_convergent_lines(skolem_N7979, M38_56_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_56_8)))
% 147.15/22.43 -> [4737] left_convergent_lines(skolem_N7979, M38_56_8)
% 147.15/22.43 -> [4738] left_convergent_lines(skolem_N7979, reverse_line(M38_56_8))
% 147.15/22.43
% 147.15/22.43 [4738] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [5462] ~(left_apart_point(A39_171_9, L40_171_9) | left_apart_point(A39_171_9, reverse_line(L40_171_9)))
% 147.15/22.43
% 147.15/22.43 [5462] ALPHA_NOT_OR : ~(left_apart_point(A39_171_9, L40_171_9) | left_apart_point(A39_171_9, reverse_line(L40_171_9)))
% 147.15/22.43 -> [5464] ~left_apart_point(A39_171_9, L40_171_9), ~left_apart_point(A39_171_9, reverse_line(L40_171_9))
% 147.15/22.43
% 147.15/22.43 [5464] CLOSURE : ~left_apart_point(A39_171_9, L40_171_9)
% 147.15/22.43
% 147.15/22.43 [4737] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [5883] ~(left_apart_point(A39_207_9, L40_207_9) | left_apart_point(A39_207_9, reverse_line(L40_207_9)))
% 147.15/22.43
% 147.15/22.43 [5883] ALPHA_NOT_OR : ~(left_apart_point(A39_207_9, L40_207_9) | left_apart_point(A39_207_9, reverse_line(L40_207_9)))
% 147.15/22.43 -> [5885] ~left_apart_point(A39_207_9, L40_207_9), ~left_apart_point(A39_207_9, reverse_line(L40_207_9))
% 147.15/22.43
% 147.15/22.43 [5885] CLOSURE : ~left_apart_point(A39_207_9, L40_207_9)
% 147.15/22.43
% 147.15/22.43 [4598] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.43 -> [4605] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.43 -> [4606] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [4606] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [4605] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [7208] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [7208] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [7209] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [7210] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [7210] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [7217] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [7218] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [7218] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [7369] ~(left_apart_point(A39_344_9, L40_344_9) | left_apart_point(A39_344_9, reverse_line(L40_344_9)))
% 147.15/22.43
% 147.15/22.43 [7369] ALPHA_NOT_OR : ~(left_apart_point(A39_344_9, L40_344_9) | left_apart_point(A39_344_9, reverse_line(L40_344_9)))
% 147.15/22.43 -> [7372] ~left_apart_point(A39_344_9, L40_344_9), ~left_apart_point(A39_344_9, reverse_line(L40_344_9))
% 147.15/22.43
% 147.15/22.43 [7372] CLOSURE : ~left_apart_point(A39_344_9, L40_344_9)
% 147.15/22.43
% 147.15/22.43 [7217] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [7391] ~(left_apart_point(A39_348_9, L40_348_9) | left_apart_point(A39_348_9, reverse_line(L40_348_9)))
% 147.15/22.43
% 147.15/22.43 [7391] ALPHA_NOT_OR : ~(left_apart_point(A39_348_9, L40_348_9) | left_apart_point(A39_348_9, reverse_line(L40_348_9)))
% 147.15/22.43 -> [7396] ~left_apart_point(A39_348_9, L40_348_9), ~left_apart_point(A39_348_9, reverse_line(L40_348_9))
% 147.15/22.43
% 147.15/22.43 [7396] CLOSURE : ~left_apart_point(A39_348_9, L40_348_9)
% 147.15/22.43
% 147.15/22.43 [7209] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [7248] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [7249] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [7249] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [7248] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [4503] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_27_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_27_6)))
% 147.15/22.43 -> [4508] unequally_directed_lines(skolem_M7878, N34_27_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_27_6))
% 147.15/22.43
% 147.15/22.43 [4508] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [4623] ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.15/22.43
% 147.15/22.43 [4623] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.15/22.43 -> [4624] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.43 -> [4625] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.43
% 147.15/22.43 [4624] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.43 -> [4638] ~line(skolem_L7777)
% 147.15/22.43 -> [4639] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [4639] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [4718] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [4718] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [4721] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [4722] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [4722] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [4723] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [4724] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [4724] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [4879] ~(left_apart_point(A39_108_9, L40_108_9) | left_apart_point(A39_108_9, reverse_line(L40_108_9)))
% 147.15/22.43
% 147.15/22.43 [4879] ALPHA_NOT_OR : ~(left_apart_point(A39_108_9, L40_108_9) | left_apart_point(A39_108_9, reverse_line(L40_108_9)))
% 147.15/22.43 -> [4880] ~left_apart_point(A39_108_9, L40_108_9), ~left_apart_point(A39_108_9, reverse_line(L40_108_9))
% 147.15/22.43
% 147.15/22.43 [4880] CLOSURE : ~left_apart_point(A39_108_9, L40_108_9)
% 147.15/22.43
% 147.15/22.43 [4723] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [4944] ~(left_apart_point(A39_113_9, L40_113_9) | left_apart_point(A39_113_9, reverse_line(L40_113_9)))
% 147.15/22.43
% 147.15/22.43 [4944] ALPHA_NOT_OR : ~(left_apart_point(A39_113_9, L40_113_9) | left_apart_point(A39_113_9, reverse_line(L40_113_9)))
% 147.15/22.43 -> [4947] ~left_apart_point(A39_113_9, L40_113_9), ~left_apart_point(A39_113_9, reverse_line(L40_113_9))
% 147.15/22.43
% 147.15/22.43 [4947] CLOSURE : ~left_apart_point(A39_113_9, L40_113_9)
% 147.15/22.43
% 147.15/22.43 [4721] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [4772] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [4773] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [4773] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [4772] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [4638] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [4767] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [4767] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [4768] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [4769] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [4769] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [4770] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [4771] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [4771] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [4935] ~(left_apart_point(A39_111_9, L40_111_9) | left_apart_point(A39_111_9, reverse_line(L40_111_9)))
% 147.15/22.43
% 147.15/22.43 [4935] ALPHA_NOT_OR : ~(left_apart_point(A39_111_9, L40_111_9) | left_apart_point(A39_111_9, reverse_line(L40_111_9)))
% 147.15/22.43 -> [4936] ~left_apart_point(A39_111_9, L40_111_9), ~left_apart_point(A39_111_9, reverse_line(L40_111_9))
% 147.15/22.43
% 147.15/22.43 [4936] CLOSURE : ~left_apart_point(A39_111_9, L40_111_9)
% 147.15/22.43
% 147.15/22.43 [4770] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [5007] ~(left_apart_point(A39_117_9, L40_117_9) | left_apart_point(A39_117_9, reverse_line(L40_117_9)))
% 147.15/22.43
% 147.15/22.43 [5007] ALPHA_NOT_OR : ~(left_apart_point(A39_117_9, L40_117_9) | left_apart_point(A39_117_9, reverse_line(L40_117_9)))
% 147.15/22.43 -> [5008] ~left_apart_point(A39_117_9, L40_117_9), ~left_apart_point(A39_117_9, reverse_line(L40_117_9))
% 147.15/22.43
% 147.15/22.43 [5008] CLOSURE : ~left_apart_point(A39_117_9, L40_117_9)
% 147.15/22.43
% 147.15/22.43 [4768] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [4784] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [4785] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [4785] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [4784] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [4625] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.43 -> [4626] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.43 -> [4627] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [4626] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [4627] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [8375] ((unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [8375] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [8378] ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8379] (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [8378] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8429] ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 147.15/22.43 -> [8430] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [8429] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [8430] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [8379] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8383] left_convergent_lines(skolem_L7777, skolem_N7979)
% 147.15/22.43 -> [8384] left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [8383] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8573] ~(left_apart_point(A39_520_9, L40_520_9) | left_apart_point(A39_520_9, reverse_line(L40_520_9)))
% 147.15/22.43
% 147.15/22.43 [8573] ALPHA_NOT_OR : ~(left_apart_point(A39_520_9, L40_520_9) | left_apart_point(A39_520_9, reverse_line(L40_520_9)))
% 147.15/22.43 -> [8574] ~left_apart_point(A39_520_9, L40_520_9), ~left_apart_point(A39_520_9, reverse_line(L40_520_9))
% 147.15/22.43
% 147.15/22.43 [8574] CLOSURE : ~left_apart_point(A39_520_9, L40_520_9)
% 147.15/22.43
% 147.15/22.43 [8384] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8767] ~(left_apart_point(A39_536_9, L40_536_9) | left_apart_point(A39_536_9, reverse_line(L40_536_9)))
% 147.15/22.43
% 147.15/22.43 [8767] ALPHA_NOT_OR : ~(left_apart_point(A39_536_9, L40_536_9) | left_apart_point(A39_536_9, reverse_line(L40_536_9)))
% 147.15/22.43 -> [8768] ~left_apart_point(A39_536_9, L40_536_9), ~left_apart_point(A39_536_9, reverse_line(L40_536_9))
% 147.15/22.43
% 147.15/22.43 [8768] CLOSURE : ~left_apart_point(A39_536_9, L40_536_9)
% 147.15/22.43
% 147.15/22.43 [610] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43 -> [615] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [615] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43 -> [617] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.43 -> [618] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [618] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [1043] ~distinct_points(C23_103_1, C23_103_1)
% 147.15/22.43
% 147.15/22.43 [1043] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [1441] (distinct_points(C23_103_1, C23_103_1) => (distinct_points(C23_103_1, C23_103_1) | distinct_points(C23_103_1, C23_103_1)))
% 147.15/22.43
% 147.15/22.43 [1441] BETA_IMPLY : (distinct_points(C23_103_1, C23_103_1) => (distinct_points(C23_103_1, C23_103_1) | distinct_points(C23_103_1, C23_103_1)))
% 147.15/22.43 -> [1443] ~distinct_points(C23_103_1, C23_103_1)
% 147.15/22.43 -> [1444] (distinct_points(C23_103_1, C23_103_1) | distinct_points(C23_103_1, C23_103_1))
% 147.15/22.43
% 147.15/22.43 [1444] BETA_OR : (distinct_points(C23_103_1, C23_103_1) | distinct_points(C23_103_1, C23_103_1))
% 147.15/22.43 -> [1447] distinct_points(C23_103_1, C23_103_1)
% 147.15/22.43 -> [1448] distinct_points(C23_103_1, C23_103_1)
% 147.15/22.43
% 147.15/22.43 [1447] CLOSURE : distinct_points(C23_103_1, C23_103_1)
% 147.15/22.43
% 147.15/22.43 [1448] CLOSURE : distinct_points(C23_103_1, C23_103_1)
% 147.15/22.43
% 147.15/22.43 [1443] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [2067] ~distinct_lines(N27_42_3, N27_42_3)
% 147.15/22.43
% 147.15/22.43 [2067] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [2094] (distinct_lines(N27_42_3, N27_42_3) => (distinct_lines(N27_42_3, N27_42_3) | distinct_lines(N27_42_3, N27_42_3)))
% 147.15/22.43
% 147.15/22.43 [2094] BETA_IMPLY : (distinct_lines(N27_42_3, N27_42_3) => (distinct_lines(N27_42_3, N27_42_3) | distinct_lines(N27_42_3, N27_42_3)))
% 147.15/22.43 -> [2096] ~distinct_lines(N27_42_3, N27_42_3)
% 147.15/22.43 -> [2097] (distinct_lines(N27_42_3, N27_42_3) | distinct_lines(N27_42_3, N27_42_3))
% 147.15/22.43
% 147.15/22.43 [2097] BETA_OR : (distinct_lines(N27_42_3, N27_42_3) | distinct_lines(N27_42_3, N27_42_3))
% 147.15/22.43 -> [2101] distinct_lines(N27_42_3, N27_42_3)
% 147.15/22.43 -> [2102] distinct_lines(N27_42_3, N27_42_3)
% 147.15/22.43
% 147.15/22.43 [2102] CLOSURE : distinct_lines(N27_42_3, N27_42_3)
% 147.15/22.43
% 147.15/22.43 [2101] CLOSURE : distinct_lines(N27_42_3, N27_42_3)
% 147.15/22.43
% 147.15/22.43 [2096] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [2143] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [2143] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [2334] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [2334] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.43 -> [2335] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43 -> [2336] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [2335] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [2336] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.43 -> [4083] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43 -> [4084] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [4084] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [4083] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [4743] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_56_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_56_6))) | (unequally_directed_lines(skolem_N7979, N34_56_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_56_6)))))
% 147.15/22.43
% 147.15/22.43 [4743] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_56_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_56_6))) | (unequally_directed_lines(skolem_N7979, N34_56_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_56_6)))))
% 147.15/22.43 -> [4744] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [4745] ((unequally_directed_lines(skolem_M7878, N34_56_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_56_6))) | (unequally_directed_lines(skolem_N7979, N34_56_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_56_6))))
% 147.15/22.43
% 147.15/22.43 [4744] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [4762] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [4763] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [4763] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [4762] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [4745] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_56_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_56_6))) | (unequally_directed_lines(skolem_N7979, N34_56_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_56_6))))
% 147.15/22.43 -> [9236] (unequally_directed_lines(skolem_M7878, N34_56_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_56_6)))
% 147.15/22.43 -> [9237] (unequally_directed_lines(skolem_N7979, N34_56_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_56_6)))
% 147.15/22.43
% 147.15/22.43 [9237] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_56_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_56_6)))
% 147.15/22.43 -> [9240] unequally_directed_lines(skolem_N7979, N34_56_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_56_6))
% 147.15/22.43
% 147.15/22.43 [9240] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [9390] ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.15/22.43
% 147.15/22.43 [9390] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.15/22.43 -> [9393] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.43 -> [9394] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.43
% 147.15/22.43 [9393] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.43 -> [9406] ~line(skolem_L7777)
% 147.15/22.43 -> [9407] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [9406] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [9502] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [9502] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [9505] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [9506] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [9506] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [9513] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [9514] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [9513] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9625] ~(left_apart_point(A39_632_9, L40_632_9) | left_apart_point(A39_632_9, reverse_line(L40_632_9)))
% 147.15/22.43
% 147.15/22.43 [9625] ALPHA_NOT_OR : ~(left_apart_point(A39_632_9, L40_632_9) | left_apart_point(A39_632_9, reverse_line(L40_632_9)))
% 147.15/22.43 -> [9626] ~left_apart_point(A39_632_9, L40_632_9), ~left_apart_point(A39_632_9, reverse_line(L40_632_9))
% 147.15/22.43
% 147.15/22.43 [9626] CLOSURE : ~left_apart_point(A39_632_9, L40_632_9)
% 147.15/22.43
% 147.15/22.43 [9514] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9631] ~(left_apart_point(A39_634_9, L40_634_9) | left_apart_point(A39_634_9, reverse_line(L40_634_9)))
% 147.15/22.43
% 147.15/22.43 [9631] ALPHA_NOT_OR : ~(left_apart_point(A39_634_9, L40_634_9) | left_apart_point(A39_634_9, reverse_line(L40_634_9)))
% 147.15/22.43 -> [9633] ~left_apart_point(A39_634_9, L40_634_9), ~left_apart_point(A39_634_9, reverse_line(L40_634_9))
% 147.15/22.43
% 147.15/22.43 [9633] CLOSURE : ~left_apart_point(A39_634_9, L40_634_9)
% 147.15/22.43
% 147.15/22.43 [9505] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [9523] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [9524] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [9523] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [9524] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [9407] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [9457] ((unequally_directed_lines(skolem_N7979, M38_324_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_324_8))) => (left_convergent_lines(skolem_N7979, M38_324_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_324_8))))
% 147.15/22.43
% 147.15/22.43 [9457] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_324_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_324_8))) => (left_convergent_lines(skolem_N7979, M38_324_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_324_8))))
% 147.15/22.43 -> [9464] ~(unequally_directed_lines(skolem_N7979, M38_324_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_324_8)))
% 147.15/22.43 -> [9465] (left_convergent_lines(skolem_N7979, M38_324_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_324_8)))
% 147.15/22.43
% 147.15/22.43 [9464] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_324_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_324_8)))
% 147.15/22.43 -> [9519] ~unequally_directed_lines(skolem_N7979, M38_324_8)
% 147.15/22.43 -> [9520] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_324_8))
% 147.15/22.43
% 147.15/22.43 [9519] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_324_8)
% 147.15/22.43
% 147.15/22.43 [9520] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_324_8))
% 147.15/22.43
% 147.15/22.43 [9465] BETA_OR : (left_convergent_lines(skolem_N7979, M38_324_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_324_8)))
% 147.15/22.43 -> [9470] left_convergent_lines(skolem_N7979, M38_324_8)
% 147.15/22.43 -> [9471] left_convergent_lines(skolem_N7979, reverse_line(M38_324_8))
% 147.15/22.43
% 147.15/22.43 [9470] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9650] ~(left_apart_point(A39_638_9, L40_638_9) | left_apart_point(A39_638_9, reverse_line(L40_638_9)))
% 147.15/22.43
% 147.15/22.43 [9650] ALPHA_NOT_OR : ~(left_apart_point(A39_638_9, L40_638_9) | left_apart_point(A39_638_9, reverse_line(L40_638_9)))
% 147.15/22.43 -> [9651] ~left_apart_point(A39_638_9, L40_638_9), ~left_apart_point(A39_638_9, reverse_line(L40_638_9))
% 147.15/22.43
% 147.15/22.43 [9651] CLOSURE : ~left_apart_point(A39_638_9, L40_638_9)
% 147.15/22.43
% 147.15/22.43 [9471] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9654] ~(left_apart_point(A39_639_9, L40_639_9) | left_apart_point(A39_639_9, reverse_line(L40_639_9)))
% 147.15/22.43
% 147.15/22.43 [9654] ALPHA_NOT_OR : ~(left_apart_point(A39_639_9, L40_639_9) | left_apart_point(A39_639_9, reverse_line(L40_639_9)))
% 147.15/22.43 -> [9656] ~left_apart_point(A39_639_9, L40_639_9), ~left_apart_point(A39_639_9, reverse_line(L40_639_9))
% 147.15/22.43
% 147.15/22.43 [9656] CLOSURE : ~left_apart_point(A39_639_9, L40_639_9)
% 147.15/22.43
% 147.15/22.43 [9394] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.43 -> [9398] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.43 -> [9399] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [9398] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [9399] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [9712] ((unequally_directed_lines(skolem_N7979, M38_340_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_340_8))) => (left_convergent_lines(skolem_N7979, M38_340_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_340_8))))
% 147.15/22.43
% 147.15/22.43 [9712] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_340_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_340_8))) => (left_convergent_lines(skolem_N7979, M38_340_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_340_8))))
% 147.15/22.43 -> [9716] ~(unequally_directed_lines(skolem_N7979, M38_340_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_340_8)))
% 147.15/22.43 -> [9717] (left_convergent_lines(skolem_N7979, M38_340_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_340_8)))
% 147.15/22.43
% 147.15/22.43 [9717] BETA_OR : (left_convergent_lines(skolem_N7979, M38_340_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_340_8)))
% 147.15/22.43 -> [9727] left_convergent_lines(skolem_N7979, M38_340_8)
% 147.15/22.43 -> [9728] left_convergent_lines(skolem_N7979, reverse_line(M38_340_8))
% 147.15/22.43
% 147.15/22.43 [9728] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9763] ~(left_apart_point(A39_657_9, L40_657_9) | left_apart_point(A39_657_9, reverse_line(L40_657_9)))
% 147.15/22.43
% 147.15/22.43 [9763] ALPHA_NOT_OR : ~(left_apart_point(A39_657_9, L40_657_9) | left_apart_point(A39_657_9, reverse_line(L40_657_9)))
% 147.15/22.43 -> [9764] ~left_apart_point(A39_657_9, L40_657_9), ~left_apart_point(A39_657_9, reverse_line(L40_657_9))
% 147.15/22.43
% 147.15/22.43 [9764] CLOSURE : ~left_apart_point(A39_657_9, L40_657_9)
% 147.15/22.43
% 147.15/22.43 [9727] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9768] ~(left_apart_point(A39_658_9, L40_658_9) | left_apart_point(A39_658_9, reverse_line(L40_658_9)))
% 147.15/22.43
% 147.15/22.43 [9768] ALPHA_NOT_OR : ~(left_apart_point(A39_658_9, L40_658_9) | left_apart_point(A39_658_9, reverse_line(L40_658_9)))
% 147.15/22.43 -> [9772] ~left_apart_point(A39_658_9, L40_658_9), ~left_apart_point(A39_658_9, reverse_line(L40_658_9))
% 147.15/22.43
% 147.15/22.43 [9772] CLOSURE : ~left_apart_point(A39_658_9, L40_658_9)
% 147.15/22.43
% 147.15/22.43 [9716] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_340_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_340_8)))
% 147.15/22.43 -> [9737] ~unequally_directed_lines(skolem_N7979, M38_340_8)
% 147.15/22.43 -> [9738] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_340_8))
% 147.15/22.43
% 147.15/22.43 [9738] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_340_8))
% 147.15/22.43
% 147.15/22.43 [9737] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_340_8)
% 147.15/22.43
% 147.15/22.43 [9236] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_56_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_56_6)))
% 147.15/22.43 -> [9302] unequally_directed_lines(skolem_M7878, N34_56_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_56_6))
% 147.15/22.43
% 147.15/22.43 [9302] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [9411] ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.15/22.43
% 147.15/22.43 [9411] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.15/22.43 -> [9414] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.43 -> [9415] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.43
% 147.15/22.43 [9414] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.43 -> [9423] ~line(skolem_L7777)
% 147.15/22.43 -> [9424] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.43
% 147.15/22.43 [9423] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [9484] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [9484] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [9487] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9488] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [9488] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9492] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [9493] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9493] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9540] ~(left_apart_point(A39_616_9, L40_616_9) | left_apart_point(A39_616_9, reverse_line(L40_616_9)))
% 147.15/22.43
% 147.15/22.43 [9540] ALPHA_NOT_OR : ~(left_apart_point(A39_616_9, L40_616_9) | left_apart_point(A39_616_9, reverse_line(L40_616_9)))
% 147.15/22.43 -> [9543] ~left_apart_point(A39_616_9, L40_616_9), ~left_apart_point(A39_616_9, reverse_line(L40_616_9))
% 147.15/22.43
% 147.15/22.43 [9543] CLOSURE : ~left_apart_point(A39_616_9, L40_616_9)
% 147.15/22.43
% 147.15/22.43 [9492] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9545] ~(left_apart_point(A39_618_9, L40_618_9) | left_apart_point(A39_618_9, reverse_line(L40_618_9)))
% 147.15/22.43
% 147.15/22.43 [9545] ALPHA_NOT_OR : ~(left_apart_point(A39_618_9, L40_618_9) | left_apart_point(A39_618_9, reverse_line(L40_618_9)))
% 147.15/22.43 -> [9548] ~left_apart_point(A39_618_9, L40_618_9), ~left_apart_point(A39_618_9, reverse_line(L40_618_9))
% 147.15/22.43
% 147.15/22.43 [9548] CLOSURE : ~left_apart_point(A39_618_9, L40_618_9)
% 147.15/22.43
% 147.15/22.43 [9487] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9521] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [9522] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9522] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9521] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [9424] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [9456] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [9456] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [9461] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9462] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [9461] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9503] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [9504] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9504] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9503] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [9462] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9468] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [9469] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9469] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9556] ~(left_apart_point(A39_622_9, L40_622_9) | left_apart_point(A39_622_9, reverse_line(L40_622_9)))
% 147.15/22.43
% 147.15/22.43 [9556] ALPHA_NOT_OR : ~(left_apart_point(A39_622_9, L40_622_9) | left_apart_point(A39_622_9, reverse_line(L40_622_9)))
% 147.15/22.43 -> [9559] ~left_apart_point(A39_622_9, L40_622_9), ~left_apart_point(A39_622_9, reverse_line(L40_622_9))
% 147.15/22.43
% 147.15/22.43 [9559] CLOSURE : ~left_apart_point(A39_622_9, L40_622_9)
% 147.15/22.43
% 147.15/22.43 [9468] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9560] ~(left_apart_point(A39_623_9, L40_623_9) | left_apart_point(A39_623_9, reverse_line(L40_623_9)))
% 147.15/22.43
% 147.15/22.43 [9560] ALPHA_NOT_OR : ~(left_apart_point(A39_623_9, L40_623_9) | left_apart_point(A39_623_9, reverse_line(L40_623_9)))
% 147.15/22.43 -> [9562] ~left_apart_point(A39_623_9, L40_623_9), ~left_apart_point(A39_623_9, reverse_line(L40_623_9))
% 147.15/22.43
% 147.15/22.43 [9562] CLOSURE : ~left_apart_point(A39_623_9, L40_623_9)
% 147.15/22.43
% 147.15/22.43 [9415] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.43 -> [9418] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.43 -> [9419] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.43
% 147.15/22.43 [9418] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.43
% 147.15/22.43 [9419] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [9788] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [9788] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [9791] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9792] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [9792] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9800] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [9801] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9801] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9816] ~(left_apart_point(A39_668_9, L40_668_9) | left_apart_point(A39_668_9, reverse_line(L40_668_9)))
% 147.15/22.43
% 147.15/22.43 [9816] ALPHA_NOT_OR : ~(left_apart_point(A39_668_9, L40_668_9) | left_apart_point(A39_668_9, reverse_line(L40_668_9)))
% 147.15/22.43 -> [9818] ~left_apart_point(A39_668_9, L40_668_9), ~left_apart_point(A39_668_9, reverse_line(L40_668_9))
% 147.15/22.43
% 147.15/22.43 [9818] CLOSURE : ~left_apart_point(A39_668_9, L40_668_9)
% 147.15/22.43
% 147.15/22.43 [9800] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9825] ~(left_apart_point(A39_669_9, L40_669_9) | left_apart_point(A39_669_9, reverse_line(L40_669_9)))
% 147.15/22.43
% 147.15/22.43 [9825] ALPHA_NOT_OR : ~(left_apart_point(A39_669_9, L40_669_9) | left_apart_point(A39_669_9, reverse_line(L40_669_9)))
% 147.15/22.43 -> [9827] ~left_apart_point(A39_669_9, L40_669_9), ~left_apart_point(A39_669_9, reverse_line(L40_669_9))
% 147.15/22.43
% 147.15/22.43 [9827] CLOSURE : ~left_apart_point(A39_669_9, L40_669_9)
% 147.15/22.43
% 147.15/22.43 [9791] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9803] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [9804] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9804] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9803] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [617] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [1046] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [1046] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [1466] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [1466] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.43 -> [1467] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [1468] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [1467] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1468] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.43 -> [1890] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43 -> [1891] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [1890] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [1891] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [2199] ~distinct_lines(L25_55_3, L25_55_3)
% 147.15/22.43
% 147.15/22.43 [2199] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [2254] (distinct_lines(L25_55_3, L25_55_3) => (distinct_lines(L25_55_3, L25_55_3) | distinct_lines(L25_55_3, L25_55_3)))
% 147.15/22.43
% 147.15/22.43 [2254] BETA_IMPLY : (distinct_lines(L25_55_3, L25_55_3) => (distinct_lines(L25_55_3, L25_55_3) | distinct_lines(L25_55_3, L25_55_3)))
% 147.15/22.43 -> [2255] ~distinct_lines(L25_55_3, L25_55_3)
% 147.15/22.43 -> [2256] (distinct_lines(L25_55_3, L25_55_3) | distinct_lines(L25_55_3, L25_55_3))
% 147.15/22.43
% 147.15/22.43 [2256] BETA_OR : (distinct_lines(L25_55_3, L25_55_3) | distinct_lines(L25_55_3, L25_55_3))
% 147.15/22.43 -> [2257] distinct_lines(L25_55_3, L25_55_3)
% 147.15/22.43 -> [2258] distinct_lines(L25_55_3, L25_55_3)
% 147.15/22.43
% 147.15/22.43 [2258] CLOSURE : distinct_lines(L25_55_3, L25_55_3)
% 147.15/22.43
% 147.15/22.43 [2257] CLOSURE : distinct_lines(L25_55_3, L25_55_3)
% 147.15/22.43
% 147.15/22.43 [2255] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [2319] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [2319] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [2390] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [2390] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.43 -> [2392] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43 -> [2393] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [2392] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [2393] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.43 -> [5437] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43 -> [5438] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [5438] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [5437] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [6879] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))))
% 147.15/22.43
% 147.15/22.43 [6879] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))))
% 147.15/22.43 -> [6880] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [6881] ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.15/22.43
% 147.15/22.43 [6880] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [6900] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [6901] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [6900] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [6901] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [6881] BETA_OR : ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.15/22.43 -> [9693] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.43 -> [9694] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.43
% 147.15/22.43 [9693] ALPHA_AND : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.43 -> [9707] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.43
% 147.15/22.43 [9707] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.43
% 147.15/22.43 [9694] ALPHA_AND : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.43 -> [9699] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)), unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.43
% 147.15/22.43 [9699] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [9780] ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.43
% 147.15/22.43 [9780] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.43 -> [9781] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.43 -> [9782] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [9781] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.43 -> [9785] ~line(reverse_line(skolem_N7979))
% 147.15/22.43 -> [9786] ~line(reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [9785] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [9820] ((unequally_directed_lines(skolem_M7878, M38_348_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_348_8))) => (left_convergent_lines(skolem_M7878, M38_348_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_348_8))))
% 147.15/22.43
% 147.15/22.43 [9820] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_348_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_348_8))) => (left_convergent_lines(skolem_M7878, M38_348_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_348_8))))
% 147.15/22.43 -> [9823] ~(unequally_directed_lines(skolem_M7878, M38_348_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_348_8)))
% 147.15/22.43 -> [9824] (left_convergent_lines(skolem_M7878, M38_348_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_348_8)))
% 147.15/22.43
% 147.15/22.43 [9823] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_348_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_348_8)))
% 147.15/22.43 -> [9842] ~unequally_directed_lines(skolem_M7878, M38_348_8)
% 147.15/22.43 -> [9843] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_348_8))
% 147.15/22.43
% 147.15/22.43 [9842] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_348_8)
% 147.15/22.43
% 147.15/22.43 [9843] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_348_8))
% 147.15/22.43
% 147.15/22.43 [9824] BETA_OR : (left_convergent_lines(skolem_M7878, M38_348_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_348_8)))
% 147.15/22.43 -> [9832] left_convergent_lines(skolem_M7878, M38_348_8)
% 147.15/22.43 -> [9833] left_convergent_lines(skolem_M7878, reverse_line(M38_348_8))
% 147.15/22.43
% 147.15/22.43 [9832] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9879] ~(left_apart_point(A39_676_9, L40_676_9) | left_apart_point(A39_676_9, reverse_line(L40_676_9)))
% 147.15/22.43
% 147.15/22.43 [9879] ALPHA_NOT_OR : ~(left_apart_point(A39_676_9, L40_676_9) | left_apart_point(A39_676_9, reverse_line(L40_676_9)))
% 147.15/22.43 -> [9881] ~left_apart_point(A39_676_9, L40_676_9), ~left_apart_point(A39_676_9, reverse_line(L40_676_9))
% 147.15/22.43
% 147.15/22.43 [9881] CLOSURE : ~left_apart_point(A39_676_9, L40_676_9)
% 147.15/22.43
% 147.15/22.43 [9833] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [10153] ~(left_apart_point(A39_703_9, L40_703_9) | left_apart_point(A39_703_9, reverse_line(L40_703_9)))
% 147.15/22.43
% 147.15/22.43 [10153] ALPHA_NOT_OR : ~(left_apart_point(A39_703_9, L40_703_9) | left_apart_point(A39_703_9, reverse_line(L40_703_9)))
% 147.15/22.43 -> [10156] ~left_apart_point(A39_703_9, L40_703_9), ~left_apart_point(A39_703_9, reverse_line(L40_703_9))
% 147.15/22.43
% 147.15/22.43 [10156] CLOSURE : ~left_apart_point(A39_703_9, L40_703_9)
% 147.15/22.43
% 147.15/22.43 [9786] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [9826] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [9826] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [9828] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9829] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [9829] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9834] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [9835] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9835] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9866] ~(left_apart_point(A39_673_9, L40_673_9) | left_apart_point(A39_673_9, reverse_line(L40_673_9)))
% 147.15/22.43
% 147.15/22.43 [9866] ALPHA_NOT_OR : ~(left_apart_point(A39_673_9, L40_673_9) | left_apart_point(A39_673_9, reverse_line(L40_673_9)))
% 147.15/22.43 -> [9868] ~left_apart_point(A39_673_9, L40_673_9), ~left_apart_point(A39_673_9, reverse_line(L40_673_9))
% 147.15/22.43
% 147.15/22.43 [9868] CLOSURE : ~left_apart_point(A39_673_9, L40_673_9)
% 147.15/22.43
% 147.15/22.43 [9834] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [10260] ~(left_apart_point(A39_714_9, L40_714_9) | left_apart_point(A39_714_9, reverse_line(L40_714_9)))
% 147.15/22.43
% 147.15/22.43 [10260] ALPHA_NOT_OR : ~(left_apart_point(A39_714_9, L40_714_9) | left_apart_point(A39_714_9, reverse_line(L40_714_9)))
% 147.15/22.43 -> [10266] ~left_apart_point(A39_714_9, L40_714_9), ~left_apart_point(A39_714_9, reverse_line(L40_714_9))
% 147.15/22.43
% 147.15/22.43 [10266] CLOSURE : ~left_apart_point(A39_714_9, L40_714_9)
% 147.15/22.43
% 147.15/22.43 [9828] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [9848] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [9849] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9849] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [9848] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [9782] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.43 -> [9783] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43 -> [9784] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [9783] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [9784] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [10963] ((unequally_directed_lines(skolem_M7878, M38_419_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_419_8))) => (left_convergent_lines(skolem_M7878, M38_419_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_419_8))))
% 147.15/22.43
% 147.15/22.43 [10963] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_419_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_419_8))) => (left_convergent_lines(skolem_M7878, M38_419_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_419_8))))
% 147.15/22.43 -> [10964] ~(unequally_directed_lines(skolem_M7878, M38_419_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_419_8)))
% 147.15/22.43 -> [10965] (left_convergent_lines(skolem_M7878, M38_419_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_419_8)))
% 147.15/22.43
% 147.15/22.43 [10965] BETA_OR : (left_convergent_lines(skolem_M7878, M38_419_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_419_8)))
% 147.15/22.43 -> [10971] left_convergent_lines(skolem_M7878, M38_419_8)
% 147.15/22.43 -> [10972] left_convergent_lines(skolem_M7878, reverse_line(M38_419_8))
% 147.15/22.43
% 147.15/22.43 [10972] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [11085] ~(left_apart_point(A39_830_9, L40_830_9) | left_apart_point(A39_830_9, reverse_line(L40_830_9)))
% 147.15/22.43
% 147.15/22.43 [11085] ALPHA_NOT_OR : ~(left_apart_point(A39_830_9, L40_830_9) | left_apart_point(A39_830_9, reverse_line(L40_830_9)))
% 147.15/22.43 -> [11087] ~left_apart_point(A39_830_9, L40_830_9), ~left_apart_point(A39_830_9, reverse_line(L40_830_9))
% 147.15/22.43
% 147.15/22.43 [11087] CLOSURE : ~left_apart_point(A39_830_9, L40_830_9)
% 147.15/22.43
% 147.15/22.43 [10971] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [11106] ~(left_apart_point(A39_837_9, L40_837_9) | left_apart_point(A39_837_9, reverse_line(L40_837_9)))
% 147.15/22.43
% 147.15/22.43 [11106] ALPHA_NOT_OR : ~(left_apart_point(A39_837_9, L40_837_9) | left_apart_point(A39_837_9, reverse_line(L40_837_9)))
% 147.15/22.43 -> [11107] ~left_apart_point(A39_837_9, L40_837_9), ~left_apart_point(A39_837_9, reverse_line(L40_837_9))
% 147.15/22.43
% 147.15/22.43 [11107] CLOSURE : ~left_apart_point(A39_837_9, L40_837_9)
% 147.15/22.43
% 147.15/22.43 [10964] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_419_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_419_8)))
% 147.15/22.43 -> [10984] ~unequally_directed_lines(skolem_M7878, M38_419_8)
% 147.15/22.43 -> [10985] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_419_8))
% 147.15/22.43
% 147.15/22.43 [10984] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_419_8)
% 147.15/22.43
% 147.15/22.43 [10985] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_419_8))
% 147.15/22.43
% 147.15/22.43 [207] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [210] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.43 -> [211] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [210] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [437] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.43 -> [438] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [438] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [439] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [439] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [444] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43 -> [445] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [444] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [445] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [437] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [1103] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1103] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [1351] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.43
% 147.15/22.43 [1351] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.43 -> [1352] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [1353] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.43
% 147.15/22.43 [1352] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1353] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.43 -> [3050] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [3051] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [3051] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [3050] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [3558] ~distinct_lines(N27_116_3, N27_116_3)
% 147.15/22.43
% 147.15/22.43 [3558] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [3617] (distinct_lines(N27_116_3, N27_116_3) => (distinct_lines(N27_116_3, N27_116_3) | distinct_lines(N27_116_3, N27_116_3)))
% 147.15/22.43
% 147.15/22.43 [3617] BETA_IMPLY : (distinct_lines(N27_116_3, N27_116_3) => (distinct_lines(N27_116_3, N27_116_3) | distinct_lines(N27_116_3, N27_116_3)))
% 147.15/22.43 -> [3618] ~distinct_lines(N27_116_3, N27_116_3)
% 147.15/22.43 -> [3619] (distinct_lines(N27_116_3, N27_116_3) | distinct_lines(N27_116_3, N27_116_3))
% 147.15/22.43
% 147.15/22.43 [3619] BETA_OR : (distinct_lines(N27_116_3, N27_116_3) | distinct_lines(N27_116_3, N27_116_3))
% 147.15/22.43 -> [3626] distinct_lines(N27_116_3, N27_116_3)
% 147.15/22.43 -> [3627] distinct_lines(N27_116_3, N27_116_3)
% 147.15/22.43
% 147.15/22.43 [3627] CLOSURE : distinct_lines(N27_116_3, N27_116_3)
% 147.15/22.43
% 147.15/22.43 [3626] CLOSURE : distinct_lines(N27_116_3, N27_116_3)
% 147.15/22.43
% 147.15/22.43 [3618] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [3701] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [3701] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [3714] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [3714] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.43 -> [3715] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43 -> [3716] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [3715] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [3716] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.43 -> [4651] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43 -> [4652] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [4651] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [4652] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [4906] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.43
% 147.15/22.43 [4906] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.43 -> [4908] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [4909] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [4908] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [4927] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [4928] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [4928] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [4927] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [4909] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [8276] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [8277] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [8276] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [8307] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [8307] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [8277] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [8281] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [8281] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [8676] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [8676] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [8679] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.43 -> [8680] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [8679] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.43 -> [8713] ~line(skolem_M7878)
% 147.15/22.43 -> [8714] ~line(skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [8714] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [8809] ((unequally_directed_lines(skolem_N7979, M38_278_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_278_8))) => (left_convergent_lines(skolem_N7979, M38_278_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_278_8))))
% 147.15/22.43
% 147.15/22.43 [8809] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_278_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_278_8))) => (left_convergent_lines(skolem_N7979, M38_278_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_278_8))))
% 147.15/22.43 -> [8810] ~(unequally_directed_lines(skolem_N7979, M38_278_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_278_8)))
% 147.15/22.43 -> [8811] (left_convergent_lines(skolem_N7979, M38_278_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_278_8)))
% 147.15/22.43
% 147.15/22.43 [8810] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_278_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_278_8)))
% 147.15/22.43 -> [8848] ~unequally_directed_lines(skolem_N7979, M38_278_8)
% 147.15/22.43 -> [8849] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_278_8))
% 147.15/22.43
% 147.15/22.43 [8849] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_278_8))
% 147.15/22.43
% 147.15/22.43 [8848] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_278_8)
% 147.15/22.43
% 147.15/22.43 [8811] BETA_OR : (left_convergent_lines(skolem_N7979, M38_278_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_278_8)))
% 147.15/22.43 -> [8817] left_convergent_lines(skolem_N7979, M38_278_8)
% 147.15/22.43 -> [8818] left_convergent_lines(skolem_N7979, reverse_line(M38_278_8))
% 147.15/22.43
% 147.15/22.43 [8818] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8933] ~(left_apart_point(A39_555_9, L40_555_9) | left_apart_point(A39_555_9, reverse_line(L40_555_9)))
% 147.15/22.43
% 147.15/22.43 [8933] ALPHA_NOT_OR : ~(left_apart_point(A39_555_9, L40_555_9) | left_apart_point(A39_555_9, reverse_line(L40_555_9)))
% 147.15/22.43 -> [8935] ~left_apart_point(A39_555_9, L40_555_9), ~left_apart_point(A39_555_9, reverse_line(L40_555_9))
% 147.15/22.43
% 147.15/22.43 [8935] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [9055] ~(left_convergent_lines(L41_170_10, M42_170_10) | left_convergent_lines(L41_170_10, reverse_line(M42_170_10)))
% 147.15/22.43
% 147.15/22.43 [9055] ALPHA_NOT_OR : ~(left_convergent_lines(L41_170_10, M42_170_10) | left_convergent_lines(L41_170_10, reverse_line(M42_170_10)))
% 147.15/22.43 -> [9057] ~left_convergent_lines(L41_170_10, M42_170_10), ~left_convergent_lines(L41_170_10, reverse_line(M42_170_10))
% 147.15/22.43
% 147.15/22.43 [9057] CLOSURE : ~left_convergent_lines(L41_170_10, M42_170_10)
% 147.15/22.43
% 147.15/22.43 [8817] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8967] ~(left_apart_point(A39_556_9, L40_556_9) | left_apart_point(A39_556_9, reverse_line(L40_556_9)))
% 147.15/22.43
% 147.15/22.43 [8967] ALPHA_NOT_OR : ~(left_apart_point(A39_556_9, L40_556_9) | left_apart_point(A39_556_9, reverse_line(L40_556_9)))
% 147.15/22.43 -> [8970] ~left_apart_point(A39_556_9, L40_556_9), ~left_apart_point(A39_556_9, reverse_line(L40_556_9))
% 147.15/22.43
% 147.15/22.43 [8970] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [9062] ~(left_convergent_lines(L41_171_10, M42_171_10) | left_convergent_lines(L41_171_10, reverse_line(M42_171_10)))
% 147.15/22.43
% 147.15/22.43 [9062] ALPHA_NOT_OR : ~(left_convergent_lines(L41_171_10, M42_171_10) | left_convergent_lines(L41_171_10, reverse_line(M42_171_10)))
% 147.15/22.43 -> [9065] ~left_convergent_lines(L41_171_10, M42_171_10), ~left_convergent_lines(L41_171_10, reverse_line(M42_171_10))
% 147.15/22.43
% 147.15/22.43 [9065] CLOSURE : ~left_convergent_lines(L41_171_10, M42_171_10)
% 147.15/22.43
% 147.15/22.43 [8713] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [8876] ((unequally_directed_lines(skolem_N7979, M38_284_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_284_8))) => (left_convergent_lines(skolem_N7979, M38_284_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_284_8))))
% 147.15/22.43
% 147.15/22.43 [8876] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_284_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_284_8))) => (left_convergent_lines(skolem_N7979, M38_284_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_284_8))))
% 147.15/22.43 -> [8877] ~(unequally_directed_lines(skolem_N7979, M38_284_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_284_8)))
% 147.15/22.43 -> [8878] (left_convergent_lines(skolem_N7979, M38_284_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_284_8)))
% 147.15/22.43
% 147.15/22.43 [8877] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_284_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_284_8)))
% 147.15/22.43 -> [8916] ~unequally_directed_lines(skolem_N7979, M38_284_8)
% 147.15/22.43 -> [8917] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_284_8))
% 147.15/22.43
% 147.15/22.43 [8917] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_284_8))
% 147.15/22.43
% 147.15/22.43 [8916] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_284_8)
% 147.15/22.43
% 147.15/22.43 [8878] BETA_OR : (left_convergent_lines(skolem_N7979, M38_284_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_284_8)))
% 147.15/22.43 -> [8991] left_convergent_lines(skolem_N7979, M38_284_8)
% 147.15/22.43 -> [8992] left_convergent_lines(skolem_N7979, reverse_line(M38_284_8))
% 147.15/22.43
% 147.15/22.43 [8991] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9021] ~(left_apart_point(A39_566_9, L40_566_9) | left_apart_point(A39_566_9, reverse_line(L40_566_9)))
% 147.15/22.43
% 147.15/22.43 [9021] ALPHA_NOT_OR : ~(left_apart_point(A39_566_9, L40_566_9) | left_apart_point(A39_566_9, reverse_line(L40_566_9)))
% 147.15/22.43 -> [9022] ~left_apart_point(A39_566_9, L40_566_9), ~left_apart_point(A39_566_9, reverse_line(L40_566_9))
% 147.15/22.43
% 147.15/22.43 [9022] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [9125] ~(left_convergent_lines(L41_173_10, M42_173_10) | left_convergent_lines(L41_173_10, reverse_line(M42_173_10)))
% 147.15/22.43
% 147.15/22.43 [9125] ALPHA_NOT_OR : ~(left_convergent_lines(L41_173_10, M42_173_10) | left_convergent_lines(L41_173_10, reverse_line(M42_173_10)))
% 147.15/22.43 -> [9126] ~left_convergent_lines(L41_173_10, M42_173_10), ~left_convergent_lines(L41_173_10, reverse_line(M42_173_10))
% 147.15/22.43
% 147.15/22.43 [9126] CLOSURE : ~left_convergent_lines(L41_173_10, M42_173_10)
% 147.15/22.43
% 147.15/22.43 [8992] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9009] ~(left_apart_point(A39_563_9, L40_563_9) | left_apart_point(A39_563_9, reverse_line(L40_563_9)))
% 147.15/22.43
% 147.15/22.43 [9009] ALPHA_NOT_OR : ~(left_apart_point(A39_563_9, L40_563_9) | left_apart_point(A39_563_9, reverse_line(L40_563_9)))
% 147.15/22.43 -> [9014] ~left_apart_point(A39_563_9, L40_563_9), ~left_apart_point(A39_563_9, reverse_line(L40_563_9))
% 147.15/22.43
% 147.15/22.43 [9014] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [9127] ~(left_convergent_lines(L41_174_10, M42_174_10) | left_convergent_lines(L41_174_10, reverse_line(M42_174_10)))
% 147.15/22.43
% 147.15/22.43 [9127] ALPHA_NOT_OR : ~(left_convergent_lines(L41_174_10, M42_174_10) | left_convergent_lines(L41_174_10, reverse_line(M42_174_10)))
% 147.15/22.43 -> [9128] ~left_convergent_lines(L41_174_10, M42_174_10), ~left_convergent_lines(L41_174_10, reverse_line(M42_174_10))
% 147.15/22.43
% 147.15/22.43 [9128] CLOSURE : ~left_convergent_lines(L41_174_10, M42_174_10)
% 147.15/22.43
% 147.15/22.43 [8680] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [8683] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43 -> [8684] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [8683] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [8684] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [8824] ((unequally_directed_lines(skolem_N7979, M38_280_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_280_8))) => (left_convergent_lines(skolem_N7979, M38_280_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_280_8))))
% 147.15/22.43
% 147.15/22.43 [8824] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_280_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_280_8))) => (left_convergent_lines(skolem_N7979, M38_280_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_280_8))))
% 147.15/22.43 -> [8825] ~(unequally_directed_lines(skolem_N7979, M38_280_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_280_8)))
% 147.15/22.43 -> [8826] (left_convergent_lines(skolem_N7979, M38_280_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_280_8)))
% 147.15/22.43
% 147.15/22.43 [8825] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_280_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_280_8)))
% 147.15/22.43 -> [8858] ~unequally_directed_lines(skolem_N7979, M38_280_8)
% 147.15/22.43 -> [8859] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_280_8))
% 147.15/22.43
% 147.15/22.43 [8858] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_280_8)
% 147.15/22.43
% 147.15/22.43 [8859] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_280_8))
% 147.15/22.43
% 147.15/22.43 [8826] BETA_OR : (left_convergent_lines(skolem_N7979, M38_280_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_280_8)))
% 147.15/22.43 -> [8828] left_convergent_lines(skolem_N7979, M38_280_8)
% 147.15/22.43 -> [8829] left_convergent_lines(skolem_N7979, reverse_line(M38_280_8))
% 147.15/22.43
% 147.15/22.43 [8829] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [9837] ~(left_apart_point(A39_670_9, L40_670_9) | left_apart_point(A39_670_9, reverse_line(L40_670_9)))
% 147.15/22.43
% 147.15/22.43 [9837] ALPHA_NOT_OR : ~(left_apart_point(A39_670_9, L40_670_9) | left_apart_point(A39_670_9, reverse_line(L40_670_9)))
% 147.15/22.43 -> [9841] ~left_apart_point(A39_670_9, L40_670_9), ~left_apart_point(A39_670_9, reverse_line(L40_670_9))
% 147.15/22.43
% 147.15/22.43 [9841] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [10191] ~(left_convergent_lines(L41_189_10, M42_189_10) | left_convergent_lines(L41_189_10, reverse_line(M42_189_10)))
% 147.15/22.43
% 147.15/22.43 [10191] ALPHA_NOT_OR : ~(left_convergent_lines(L41_189_10, M42_189_10) | left_convergent_lines(L41_189_10, reverse_line(M42_189_10)))
% 147.15/22.43 -> [10196] ~left_convergent_lines(L41_189_10, M42_189_10), ~left_convergent_lines(L41_189_10, reverse_line(M42_189_10))
% 147.15/22.43
% 147.15/22.43 [10196] CLOSURE : ~left_convergent_lines(L41_189_10, M42_189_10)
% 147.15/22.43
% 147.15/22.43 [8828] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8977] ~(left_apart_point(A39_557_9, L40_557_9) | left_apart_point(A39_557_9, reverse_line(L40_557_9)))
% 147.15/22.43
% 147.15/22.43 [8977] ALPHA_NOT_OR : ~(left_apart_point(A39_557_9, L40_557_9) | left_apart_point(A39_557_9, reverse_line(L40_557_9)))
% 147.15/22.43 -> [8980] ~left_apart_point(A39_557_9, L40_557_9), ~left_apart_point(A39_557_9, reverse_line(L40_557_9))
% 147.15/22.43
% 147.15/22.43 [8980] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [10420] ~(left_convergent_lines(L41_193_10, M42_193_10) | left_convergent_lines(L41_193_10, reverse_line(M42_193_10)))
% 147.15/22.43
% 147.15/22.43 [10420] ALPHA_NOT_OR : ~(left_convergent_lines(L41_193_10, M42_193_10) | left_convergent_lines(L41_193_10, reverse_line(M42_193_10)))
% 147.15/22.43 -> [10424] ~left_convergent_lines(L41_193_10, M42_193_10), ~left_convergent_lines(L41_193_10, reverse_line(M42_193_10))
% 147.15/22.43
% 147.15/22.43 [10424] CLOSURE : ~left_convergent_lines(L41_193_10, M42_193_10)
% 147.15/22.43
% 147.15/22.43 [211] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43 -> [714] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [714] BETA_NOT_AND : ~(distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [718] ~distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.43 -> [719] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [719] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [727] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [727] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43 -> [728] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.43 -> [729] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [728] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [924] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43 -> [925] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [925] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [924] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [729] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [1141] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43 -> [1142] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [1141] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [1142] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [718] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43 -> [769] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.43 -> [770] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [769] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [1547] ~distinct_points(A20_119_0, A20_119_0)
% 147.15/22.43
% 147.15/22.43 [1547] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [1587] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43
% 147.15/22.43 [1587] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [1588] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [1589] (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [1588] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1589] BETA_OR : (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [2577] distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.43 -> [2578] distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.43
% 147.15/22.43 [2577] CLOSURE : distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.43
% 147.15/22.43 [2578] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [2770] ~distinct_lines(M26_77_3, M26_77_3)
% 147.15/22.43
% 147.15/22.43 [2770] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [2788] (distinct_lines(M26_77_3, M26_77_3) => (distinct_lines(M26_77_3, M26_77_3) | distinct_lines(M26_77_3, M26_77_3)))
% 147.15/22.43
% 147.15/22.43 [2788] BETA_IMPLY : (distinct_lines(M26_77_3, M26_77_3) => (distinct_lines(M26_77_3, M26_77_3) | distinct_lines(M26_77_3, M26_77_3)))
% 147.15/22.43 -> [2790] ~distinct_lines(M26_77_3, M26_77_3)
% 147.15/22.43 -> [2791] (distinct_lines(M26_77_3, M26_77_3) | distinct_lines(M26_77_3, M26_77_3))
% 147.15/22.43
% 147.15/22.43 [2791] BETA_OR : (distinct_lines(M26_77_3, M26_77_3) | distinct_lines(M26_77_3, M26_77_3))
% 147.15/22.43 -> [2792] distinct_lines(M26_77_3, M26_77_3)
% 147.15/22.43 -> [2793] distinct_lines(M26_77_3, M26_77_3)
% 147.15/22.43
% 147.15/22.43 [2792] CLOSURE : distinct_lines(M26_77_3, M26_77_3)
% 147.15/22.43
% 147.15/22.43 [2793] CLOSURE : distinct_lines(M26_77_3, M26_77_3)
% 147.15/22.43
% 147.15/22.43 [2790] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [2806] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [2806] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [2838] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [2838] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.43 -> [2839] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43 -> [2840] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [2839] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [2840] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.43 -> [3505] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43 -> [3506] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [3505] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [3506] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [4518] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.43
% 147.15/22.43 [4518] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.43 -> [4521] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [4522] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [4521] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [4564] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [4565] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [4565] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [4564] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [4522] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [11708] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [11709] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [11708] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [11720] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [11720] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [11709] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [11714] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [11714] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [11745] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [11745] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [11748] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.43 -> [11749] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [11748] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.43 -> [11766] ~line(skolem_M7878)
% 147.15/22.43 -> [11767] ~line(skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [11766] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [11819] ((unequally_directed_lines(skolem_N7979, M38_483_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_483_8))) => (left_convergent_lines(skolem_N7979, M38_483_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_483_8))))
% 147.15/22.43
% 147.15/22.43 [11819] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_483_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_483_8))) => (left_convergent_lines(skolem_N7979, M38_483_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_483_8))))
% 147.15/22.43 -> [11824] ~(unequally_directed_lines(skolem_N7979, M38_483_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_483_8)))
% 147.15/22.43 -> [11825] (left_convergent_lines(skolem_N7979, M38_483_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_483_8)))
% 147.15/22.43
% 147.15/22.43 [11825] BETA_OR : (left_convergent_lines(skolem_N7979, M38_483_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_483_8)))
% 147.15/22.43 -> [11834] left_convergent_lines(skolem_N7979, M38_483_8)
% 147.15/22.43 -> [11835] left_convergent_lines(skolem_N7979, reverse_line(M38_483_8))
% 147.15/22.43
% 147.15/22.43 [11834] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12162] ~(left_apart_point(A39_971_9, L40_971_9) | left_apart_point(A39_971_9, reverse_line(L40_971_9)))
% 147.15/22.43
% 147.15/22.43 [12162] ALPHA_NOT_OR : ~(left_apart_point(A39_971_9, L40_971_9) | left_apart_point(A39_971_9, reverse_line(L40_971_9)))
% 147.15/22.43 -> [12163] ~left_apart_point(A39_971_9, L40_971_9), ~left_apart_point(A39_971_9, reverse_line(L40_971_9))
% 147.15/22.43
% 147.15/22.43 [12163] CLOSURE : ~left_apart_point(A39_971_9, L40_971_9)
% 147.15/22.43
% 147.15/22.43 [11835] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12175] ~(left_apart_point(A39_976_9, L40_976_9) | left_apart_point(A39_976_9, reverse_line(L40_976_9)))
% 147.15/22.43
% 147.15/22.43 [12175] ALPHA_NOT_OR : ~(left_apart_point(A39_976_9, L40_976_9) | left_apart_point(A39_976_9, reverse_line(L40_976_9)))
% 147.15/22.43 -> [12176] ~left_apart_point(A39_976_9, L40_976_9), ~left_apart_point(A39_976_9, reverse_line(L40_976_9))
% 147.15/22.43
% 147.15/22.43 [12176] CLOSURE : ~left_apart_point(A39_976_9, L40_976_9)
% 147.15/22.43
% 147.15/22.43 [11824] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_483_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_483_8)))
% 147.15/22.43 -> [11863] ~unequally_directed_lines(skolem_N7979, M38_483_8)
% 147.15/22.43 -> [11864] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_483_8))
% 147.15/22.43
% 147.15/22.43 [11863] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_483_8)
% 147.15/22.43
% 147.15/22.43 [11864] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_483_8))
% 147.15/22.43
% 147.15/22.43 [11767] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [11797] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [11797] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [11798] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [11799] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [11798] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [11843] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [11844] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [11843] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [11844] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [11799] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [11800] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [11801] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [11800] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12246] ~(left_apart_point(A39_989_9, L40_989_9) | left_apart_point(A39_989_9, reverse_line(L40_989_9)))
% 147.15/22.43
% 147.15/22.43 [12246] ALPHA_NOT_OR : ~(left_apart_point(A39_989_9, L40_989_9) | left_apart_point(A39_989_9, reverse_line(L40_989_9)))
% 147.15/22.43 -> [12249] ~left_apart_point(A39_989_9, L40_989_9), ~left_apart_point(A39_989_9, reverse_line(L40_989_9))
% 147.15/22.43
% 147.15/22.43 [12249] CLOSURE : ~left_apart_point(A39_989_9, L40_989_9)
% 147.15/22.43
% 147.15/22.43 [11801] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12438] ~(left_apart_point(A39_1015_9, L40_1015_9) | left_apart_point(A39_1015_9, reverse_line(L40_1015_9)))
% 147.15/22.43
% 147.15/22.43 [12438] ALPHA_NOT_OR : ~(left_apart_point(A39_1015_9, L40_1015_9) | left_apart_point(A39_1015_9, reverse_line(L40_1015_9)))
% 147.15/22.43 -> [12443] ~left_apart_point(A39_1015_9, L40_1015_9), ~left_apart_point(A39_1015_9, reverse_line(L40_1015_9))
% 147.15/22.43
% 147.15/22.43 [12443] CLOSURE : ~left_apart_point(A39_1015_9, L40_1015_9)
% 147.15/22.43
% 147.15/22.43 [11749] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [11757] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43 -> [11758] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [11757] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [11758] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [11804] ((unequally_directed_lines(skolem_N7979, M38_481_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_481_8))) => (left_convergent_lines(skolem_N7979, M38_481_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_481_8))))
% 147.15/22.43
% 147.15/22.43 [11804] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_481_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_481_8))) => (left_convergent_lines(skolem_N7979, M38_481_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_481_8))))
% 147.15/22.43 -> [11805] ~(unequally_directed_lines(skolem_N7979, M38_481_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_481_8)))
% 147.15/22.43 -> [11806] (left_convergent_lines(skolem_N7979, M38_481_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_481_8)))
% 147.15/22.43
% 147.15/22.43 [11805] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_481_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_481_8)))
% 147.15/22.43 -> [11853] ~unequally_directed_lines(skolem_N7979, M38_481_8)
% 147.15/22.43 -> [11854] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_481_8))
% 147.15/22.43
% 147.15/22.43 [11853] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_481_8)
% 147.15/22.43
% 147.15/22.43 [11854] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_481_8))
% 147.15/22.43
% 147.15/22.43 [11806] BETA_OR : (left_convergent_lines(skolem_N7979, M38_481_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_481_8)))
% 147.15/22.43 -> [11807] left_convergent_lines(skolem_N7979, M38_481_8)
% 147.15/22.43 -> [11808] left_convergent_lines(skolem_N7979, reverse_line(M38_481_8))
% 147.15/22.43
% 147.15/22.43 [11808] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12401] ~(left_apart_point(A39_1009_9, L40_1009_9) | left_apart_point(A39_1009_9, reverse_line(L40_1009_9)))
% 147.15/22.43
% 147.15/22.43 [12401] ALPHA_NOT_OR : ~(left_apart_point(A39_1009_9, L40_1009_9) | left_apart_point(A39_1009_9, reverse_line(L40_1009_9)))
% 147.15/22.43 -> [12402] ~left_apart_point(A39_1009_9, L40_1009_9), ~left_apart_point(A39_1009_9, reverse_line(L40_1009_9))
% 147.15/22.43
% 147.15/22.43 [12402] CLOSURE : ~left_apart_point(A39_1009_9, L40_1009_9)
% 147.15/22.43
% 147.15/22.43 [11807] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12483] ~(left_apart_point(A39_1022_9, L40_1022_9) | left_apart_point(A39_1022_9, reverse_line(L40_1022_9)))
% 147.15/22.43
% 147.15/22.43 [12483] ALPHA_NOT_OR : ~(left_apart_point(A39_1022_9, L40_1022_9) | left_apart_point(A39_1022_9, reverse_line(L40_1022_9)))
% 147.15/22.43 -> [12507] ~left_apart_point(A39_1022_9, L40_1022_9), ~left_apart_point(A39_1022_9, reverse_line(L40_1022_9))
% 147.15/22.43
% 147.15/22.43 [12507] CLOSURE : ~left_apart_point(A39_1022_9, L40_1022_9)
% 147.15/22.43
% 147.15/22.43 [770] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [1572] ~distinct_points(A20_121_0, A20_121_0)
% 147.15/22.43
% 147.15/22.43 [1572] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [1629] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43
% 147.15/22.43 [1629] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [1630] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [1631] (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [1630] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1631] BETA_OR : (distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))) | distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [3079] distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.43 -> [3080] distinct_points(skolem_C8282, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.43
% 147.15/22.43 [3079] CLOSURE : distinct_points(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))
% 147.15/22.43
% 147.15/22.43 [3080] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [3597] ~distinct_lines(N27_117_3, N27_117_3)
% 147.15/22.43
% 147.15/22.43 [3597] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [3636] (distinct_lines(N27_117_3, N27_117_3) => (distinct_lines(N27_117_3, N27_117_3) | distinct_lines(N27_117_3, N27_117_3)))
% 147.15/22.43
% 147.15/22.43 [3636] BETA_IMPLY : (distinct_lines(N27_117_3, N27_117_3) => (distinct_lines(N27_117_3, N27_117_3) | distinct_lines(N27_117_3, N27_117_3)))
% 147.15/22.43 -> [3637] ~distinct_lines(N27_117_3, N27_117_3)
% 147.15/22.43 -> [3638] (distinct_lines(N27_117_3, N27_117_3) | distinct_lines(N27_117_3, N27_117_3))
% 147.15/22.43
% 147.15/22.43 [3638] BETA_OR : (distinct_lines(N27_117_3, N27_117_3) | distinct_lines(N27_117_3, N27_117_3))
% 147.15/22.43 -> [3640] distinct_lines(N27_117_3, N27_117_3)
% 147.15/22.43 -> [3641] distinct_lines(N27_117_3, N27_117_3)
% 147.15/22.43
% 147.15/22.43 [3640] CLOSURE : distinct_lines(N27_117_3, N27_117_3)
% 147.15/22.43
% 147.15/22.43 [3641] CLOSURE : distinct_lines(N27_117_3, N27_117_3)
% 147.15/22.43
% 147.15/22.43 [3637] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [3719] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [3719] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [3925] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [3925] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.43 -> [3926] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43 -> [3927] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [3926] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [3927] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.43 -> [9942] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43 -> [9943] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [9943] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [9942] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [11022] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_123_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_123_6))) | (unequally_directed_lines(skolem_N7979, N34_123_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_123_6)))))
% 147.15/22.43
% 147.15/22.43 [11022] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_123_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_123_6))) | (unequally_directed_lines(skolem_N7979, N34_123_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_123_6)))))
% 147.15/22.43 -> [11024] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [11025] ((unequally_directed_lines(skolem_M7878, N34_123_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_123_6))) | (unequally_directed_lines(skolem_N7979, N34_123_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_123_6))))
% 147.15/22.43
% 147.15/22.43 [11024] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [11051] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [11052] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [11052] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [11051] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [11025] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_123_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_123_6))) | (unequally_directed_lines(skolem_N7979, N34_123_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_123_6))))
% 147.15/22.43 -> [12268] (unequally_directed_lines(skolem_M7878, N34_123_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_123_6)))
% 147.15/22.43 -> [12269] (unequally_directed_lines(skolem_N7979, N34_123_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_123_6)))
% 147.15/22.43
% 147.15/22.43 [12268] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_123_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_123_6)))
% 147.15/22.43 -> [12337] unequally_directed_lines(skolem_M7878, N34_123_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_123_6))
% 147.15/22.43
% 147.15/22.43 [12337] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [12343] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [12343] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.43 -> [12344] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.43 -> [12345] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [12345] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.43 -> [12346] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.43 -> [12347] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [12347] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [12346] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [12410] ((unequally_directed_lines(skolem_M7878, M38_518_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_518_8))) => (left_convergent_lines(skolem_M7878, M38_518_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_518_8))))
% 147.15/22.43
% 147.15/22.43 [12410] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_518_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_518_8))) => (left_convergent_lines(skolem_M7878, M38_518_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_518_8))))
% 147.15/22.43 -> [12412] ~(unequally_directed_lines(skolem_M7878, M38_518_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_518_8)))
% 147.15/22.43 -> [12413] (left_convergent_lines(skolem_M7878, M38_518_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_518_8)))
% 147.15/22.43
% 147.15/22.43 [12412] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_518_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_518_8)))
% 147.15/22.43 -> [12422] ~unequally_directed_lines(skolem_M7878, M38_518_8)
% 147.15/22.43 -> [12423] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_518_8))
% 147.15/22.43
% 147.15/22.43 [12423] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_518_8))
% 147.15/22.43
% 147.15/22.43 [12422] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_518_8)
% 147.15/22.43
% 147.15/22.43 [12413] BETA_OR : (left_convergent_lines(skolem_M7878, M38_518_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_518_8)))
% 147.15/22.43 -> [12419] left_convergent_lines(skolem_M7878, M38_518_8)
% 147.15/22.43 -> [12420] left_convergent_lines(skolem_M7878, reverse_line(M38_518_8))
% 147.15/22.43
% 147.15/22.43 [12420] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12432] ~(left_apart_point(A39_1013_9, L40_1013_9) | left_apart_point(A39_1013_9, reverse_line(L40_1013_9)))
% 147.15/22.43
% 147.15/22.43 [12432] ALPHA_NOT_OR : ~(left_apart_point(A39_1013_9, L40_1013_9) | left_apart_point(A39_1013_9, reverse_line(L40_1013_9)))
% 147.15/22.43 -> [12436] ~left_apart_point(A39_1013_9, L40_1013_9), ~left_apart_point(A39_1013_9, reverse_line(L40_1013_9))
% 147.15/22.43
% 147.15/22.43 [12436] CLOSURE : ~left_apart_point(A39_1013_9, L40_1013_9)
% 147.15/22.43
% 147.15/22.43 [12419] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12442] ~(left_apart_point(A39_1016_9, L40_1016_9) | left_apart_point(A39_1016_9, reverse_line(L40_1016_9)))
% 147.15/22.43
% 147.15/22.43 [12442] ALPHA_NOT_OR : ~(left_apart_point(A39_1016_9, L40_1016_9) | left_apart_point(A39_1016_9, reverse_line(L40_1016_9)))
% 147.15/22.43 -> [12446] ~left_apart_point(A39_1016_9, L40_1016_9), ~left_apart_point(A39_1016_9, reverse_line(L40_1016_9))
% 147.15/22.43
% 147.15/22.43 [12446] CLOSURE : ~left_apart_point(A39_1016_9, L40_1016_9)
% 147.15/22.43
% 147.15/22.43 [12344] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.43 -> [12350] ~line(reverse_line(skolem_N7979))
% 147.15/22.43 -> [12351] ~line(skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [12350] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [12373] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [12373] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [12376] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [12377] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [12376] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [12383] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [12384] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [12384] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [12383] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [12377] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [12378] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [12379] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [12379] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12411] ~(left_apart_point(A39_1010_9, L40_1010_9) | left_apart_point(A39_1010_9, reverse_line(L40_1010_9)))
% 147.15/22.43
% 147.15/22.43 [12411] ALPHA_NOT_OR : ~(left_apart_point(A39_1010_9, L40_1010_9) | left_apart_point(A39_1010_9, reverse_line(L40_1010_9)))
% 147.15/22.43 -> [12416] ~left_apart_point(A39_1010_9, L40_1010_9), ~left_apart_point(A39_1010_9, reverse_line(L40_1010_9))
% 147.15/22.43
% 147.15/22.43 [12416] CLOSURE : ~left_apart_point(A39_1010_9, L40_1010_9)
% 147.15/22.43
% 147.15/22.43 [12378] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12500] ~(left_apart_point(A39_1029_9, L40_1029_9) | left_apart_point(A39_1029_9, reverse_line(L40_1029_9)))
% 147.15/22.43
% 147.15/22.43 [12500] ALPHA_NOT_OR : ~(left_apart_point(A39_1029_9, L40_1029_9) | left_apart_point(A39_1029_9, reverse_line(L40_1029_9)))
% 147.15/22.43 -> [12504] ~left_apart_point(A39_1029_9, L40_1029_9), ~left_apart_point(A39_1029_9, reverse_line(L40_1029_9))
% 147.15/22.43
% 147.15/22.43 [12504] CLOSURE : ~left_apart_point(A39_1029_9, L40_1029_9)
% 147.15/22.43
% 147.15/22.43 [12351] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [12363] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [12363] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [12364] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [12365] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [12365] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [12367] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [12368] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [12367] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12485] ~(left_apart_point(A39_1024_9, L40_1024_9) | left_apart_point(A39_1024_9, reverse_line(L40_1024_9)))
% 147.15/22.43
% 147.15/22.43 [12485] ALPHA_NOT_OR : ~(left_apart_point(A39_1024_9, L40_1024_9) | left_apart_point(A39_1024_9, reverse_line(L40_1024_9)))
% 147.15/22.43 -> [12505] ~left_apart_point(A39_1024_9, L40_1024_9), ~left_apart_point(A39_1024_9, reverse_line(L40_1024_9))
% 147.15/22.43
% 147.15/22.43 [12505] CLOSURE : ~left_apart_point(A39_1024_9, L40_1024_9)
% 147.15/22.43
% 147.15/22.43 [12368] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12511] ~(left_apart_point(A39_1032_9, L40_1032_9) | left_apart_point(A39_1032_9, reverse_line(L40_1032_9)))
% 147.15/22.43
% 147.15/22.43 [12511] ALPHA_NOT_OR : ~(left_apart_point(A39_1032_9, L40_1032_9) | left_apart_point(A39_1032_9, reverse_line(L40_1032_9)))
% 147.15/22.43 -> [12513] ~left_apart_point(A39_1032_9, L40_1032_9), ~left_apart_point(A39_1032_9, reverse_line(L40_1032_9))
% 147.15/22.43
% 147.15/22.43 [12513] CLOSURE : ~left_apart_point(A39_1032_9, L40_1032_9)
% 147.15/22.43
% 147.15/22.43 [12364] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [12478] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [12479] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [12479] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [12478] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [12269] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_123_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_123_6)))
% 147.15/22.43 -> [12274] unequally_directed_lines(skolem_N7979, N34_123_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_123_6))
% 147.15/22.43
% 147.15/22.43 [12274] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [12280] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [12280] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.43 -> [12281] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.43 -> [12282] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [12282] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.43 -> [12283] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.43 -> [12284] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [12284] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [12283] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [12348] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [12348] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [12352] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [12353] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [12352] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [12359] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [12360] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [12360] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [12359] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [12353] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [12356] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [12357] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [12357] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12385] ~(left_apart_point(A39_1005_9, L40_1005_9) | left_apart_point(A39_1005_9, reverse_line(L40_1005_9)))
% 147.15/22.43
% 147.15/22.43 [12385] ALPHA_NOT_OR : ~(left_apart_point(A39_1005_9, L40_1005_9) | left_apart_point(A39_1005_9, reverse_line(L40_1005_9)))
% 147.15/22.43 -> [12388] ~left_apart_point(A39_1005_9, L40_1005_9), ~left_apart_point(A39_1005_9, reverse_line(L40_1005_9))
% 147.15/22.43
% 147.15/22.43 [12388] CLOSURE : ~left_apart_point(A39_1005_9, L40_1005_9)
% 147.15/22.43
% 147.15/22.43 [12356] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12399] ~(left_apart_point(A39_1008_9, L40_1008_9) | left_apart_point(A39_1008_9, reverse_line(L40_1008_9)))
% 147.15/22.43
% 147.15/22.43 [12399] ALPHA_NOT_OR : ~(left_apart_point(A39_1008_9, L40_1008_9) | left_apart_point(A39_1008_9, reverse_line(L40_1008_9)))
% 147.15/22.43 -> [12400] ~left_apart_point(A39_1008_9, L40_1008_9), ~left_apart_point(A39_1008_9, reverse_line(L40_1008_9))
% 147.15/22.43
% 147.15/22.43 [12400] CLOSURE : ~left_apart_point(A39_1008_9, L40_1008_9)
% 147.15/22.43
% 147.15/22.43 [12281] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.43 -> [12290] ~line(reverse_line(skolem_N7979))
% 147.15/22.43 -> [12291] ~line(skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [12291] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [12296] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [12296] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [12297] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [12298] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [12298] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [12306] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [12307] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [12307] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12514] ~(left_apart_point(A39_1033_9, L40_1033_9) | left_apart_point(A39_1033_9, reverse_line(L40_1033_9)))
% 147.15/22.43
% 147.15/22.43 [12514] ALPHA_NOT_OR : ~(left_apart_point(A39_1033_9, L40_1033_9) | left_apart_point(A39_1033_9, reverse_line(L40_1033_9)))
% 147.15/22.43 -> [12515] ~left_apart_point(A39_1033_9, L40_1033_9), ~left_apart_point(A39_1033_9, reverse_line(L40_1033_9))
% 147.15/22.43
% 147.15/22.43 [12515] CLOSURE : ~left_apart_point(A39_1033_9, L40_1033_9)
% 147.15/22.43
% 147.15/22.43 [12306] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12516] ~(left_apart_point(A39_1034_9, L40_1034_9) | left_apart_point(A39_1034_9, reverse_line(L40_1034_9)))
% 147.15/22.43
% 147.15/22.43 [12516] ALPHA_NOT_OR : ~(left_apart_point(A39_1034_9, L40_1034_9) | left_apart_point(A39_1034_9, reverse_line(L40_1034_9)))
% 147.15/22.43 -> [12517] ~left_apart_point(A39_1034_9, L40_1034_9), ~left_apart_point(A39_1034_9, reverse_line(L40_1034_9))
% 147.15/22.43
% 147.15/22.43 [12517] CLOSURE : ~left_apart_point(A39_1034_9, L40_1034_9)
% 147.15/22.43
% 147.15/22.43 [12297] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [12326] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [12327] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [12327] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [12326] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [12290] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [12314] ((unequally_directed_lines(skolem_N7979, M38_509_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_509_8))) => (left_convergent_lines(skolem_N7979, M38_509_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_509_8))))
% 147.15/22.43
% 147.15/22.43 [12314] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_509_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_509_8))) => (left_convergent_lines(skolem_N7979, M38_509_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_509_8))))
% 147.15/22.43 -> [12316] ~(unequally_directed_lines(skolem_N7979, M38_509_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_509_8)))
% 147.15/22.43 -> [12317] (left_convergent_lines(skolem_N7979, M38_509_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_509_8)))
% 147.15/22.43
% 147.15/22.43 [12316] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_509_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_509_8)))
% 147.15/22.43 -> [12330] ~unequally_directed_lines(skolem_N7979, M38_509_8)
% 147.15/22.43 -> [12331] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_509_8))
% 147.15/22.43
% 147.15/22.43 [12331] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_509_8))
% 147.15/22.43
% 147.15/22.43 [12330] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_509_8)
% 147.15/22.43
% 147.15/22.43 [12317] BETA_OR : (left_convergent_lines(skolem_N7979, M38_509_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_509_8)))
% 147.15/22.43 -> [12322] left_convergent_lines(skolem_N7979, M38_509_8)
% 147.15/22.43 -> [12323] left_convergent_lines(skolem_N7979, reverse_line(M38_509_8))
% 147.15/22.43
% 147.15/22.43 [12322] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12494] ~(left_apart_point(A39_1026_9, L40_1026_9) | left_apart_point(A39_1026_9, reverse_line(L40_1026_9)))
% 147.15/22.43
% 147.15/22.43 [12494] ALPHA_NOT_OR : ~(left_apart_point(A39_1026_9, L40_1026_9) | left_apart_point(A39_1026_9, reverse_line(L40_1026_9)))
% 147.15/22.43 -> [12496] ~left_apart_point(A39_1026_9, L40_1026_9), ~left_apart_point(A39_1026_9, reverse_line(L40_1026_9))
% 147.15/22.43
% 147.15/22.43 [12496] CLOSURE : ~left_apart_point(A39_1026_9, L40_1026_9)
% 147.15/22.43
% 147.15/22.43 [12323] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12524] ~(left_apart_point(A39_1037_9, L40_1037_9) | left_apart_point(A39_1037_9, reverse_line(L40_1037_9)))
% 147.15/22.43
% 147.15/22.43 [12524] ALPHA_NOT_OR : ~(left_apart_point(A39_1037_9, L40_1037_9) | left_apart_point(A39_1037_9, reverse_line(L40_1037_9)))
% 147.15/22.43 -> [12525] ~left_apart_point(A39_1037_9, L40_1037_9), ~left_apart_point(A39_1037_9, reverse_line(L40_1037_9))
% 147.15/22.43
% 147.15/22.43 [12525] CLOSURE : ~left_apart_point(A39_1037_9, L40_1037_9)
% 147.15/22.43
% 147.15/22.43 [160] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [163] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [163] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [213] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [214] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [214] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [232] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [232] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [238] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43 -> [239] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [238] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [239] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [213] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [264] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.43 -> [265] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [264] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [633] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [633] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [682] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.43
% 147.15/22.43 [682] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.43 -> [683] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [684] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.43
% 147.15/22.43 [683] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [684] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.43 -> [1940] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [1941] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1941] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1940] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [2053] ~distinct_lines(N27_53_3, N27_53_3)
% 147.15/22.43
% 147.15/22.43 [2053] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [2234] (distinct_lines(N27_53_3, N27_53_3) => (distinct_lines(N27_53_3, N27_53_3) | distinct_lines(N27_53_3, N27_53_3)))
% 147.15/22.43
% 147.15/22.43 [2234] BETA_IMPLY : (distinct_lines(N27_53_3, N27_53_3) => (distinct_lines(N27_53_3, N27_53_3) | distinct_lines(N27_53_3, N27_53_3)))
% 147.15/22.43 -> [2235] ~distinct_lines(N27_53_3, N27_53_3)
% 147.15/22.43 -> [2236] (distinct_lines(N27_53_3, N27_53_3) | distinct_lines(N27_53_3, N27_53_3))
% 147.15/22.43
% 147.15/22.43 [2236] BETA_OR : (distinct_lines(N27_53_3, N27_53_3) | distinct_lines(N27_53_3, N27_53_3))
% 147.15/22.43 -> [2237] distinct_lines(N27_53_3, N27_53_3)
% 147.15/22.43 -> [2238] distinct_lines(N27_53_3, N27_53_3)
% 147.15/22.43
% 147.15/22.43 [2238] CLOSURE : distinct_lines(N27_53_3, N27_53_3)
% 147.15/22.43
% 147.15/22.43 [2237] CLOSURE : distinct_lines(N27_53_3, N27_53_3)
% 147.15/22.43
% 147.15/22.43 [2235] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [2327] ~unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [2327] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [2382] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43
% 147.15/22.43 [2382] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43 -> [2383] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [2384] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43
% 147.15/22.43 [2383] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [2384] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [3389] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [3390] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [3390] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [3389] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [4814] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_58_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_58_6))) | (unequally_directed_lines(skolem_N7979, N34_58_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_58_6)))))
% 147.15/22.43
% 147.15/22.43 [4814] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_58_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_58_6))) | (unequally_directed_lines(skolem_N7979, N34_58_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_58_6)))))
% 147.15/22.43 -> [4817] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [4818] ((unequally_directed_lines(skolem_M7878, N34_58_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_58_6))) | (unequally_directed_lines(skolem_N7979, N34_58_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_58_6))))
% 147.15/22.43
% 147.15/22.43 [4817] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [4876] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [4877] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [4877] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [4876] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [4818] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_58_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_58_6))) | (unequally_directed_lines(skolem_N7979, N34_58_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_58_6))))
% 147.15/22.43 -> [5911] (unequally_directed_lines(skolem_M7878, N34_58_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_58_6)))
% 147.15/22.43 -> [5912] (unequally_directed_lines(skolem_N7979, N34_58_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_58_6)))
% 147.15/22.43
% 147.15/22.43 [5911] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_58_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_58_6)))
% 147.15/22.43 -> [5917] unequally_directed_lines(skolem_M7878, N34_58_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_58_6))
% 147.15/22.43
% 147.15/22.43 [5917] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [6076] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.15/22.43
% 147.15/22.43 [6076] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.15/22.43 -> [6079] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [6080] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43
% 147.15/22.43 [6080] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43 -> [6083] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [6084] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43
% 147.15/22.43 [6083] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [6084] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [6313] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [6313] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [6314] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [6315] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [6314] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [6419] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [6420] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [6420] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [6419] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [6315] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [6325] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [6326] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [6326] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8376] ~(left_apart_point(A39_484_9, L40_484_9) | left_apart_point(A39_484_9, reverse_line(L40_484_9)))
% 147.15/22.43
% 147.15/22.43 [8376] ALPHA_NOT_OR : ~(left_apart_point(A39_484_9, L40_484_9) | left_apart_point(A39_484_9, reverse_line(L40_484_9)))
% 147.15/22.43 -> [8382] ~left_apart_point(A39_484_9, L40_484_9), ~left_apart_point(A39_484_9, reverse_line(L40_484_9))
% 147.15/22.43
% 147.15/22.43 [8382] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [8504] ~(left_convergent_lines(L41_134_10, M42_134_10) | left_convergent_lines(L41_134_10, reverse_line(M42_134_10)))
% 147.15/22.43
% 147.15/22.43 [8504] ALPHA_NOT_OR : ~(left_convergent_lines(L41_134_10, M42_134_10) | left_convergent_lines(L41_134_10, reverse_line(M42_134_10)))
% 147.15/22.43 -> [8505] ~left_convergent_lines(L41_134_10, M42_134_10), ~left_convergent_lines(L41_134_10, reverse_line(M42_134_10))
% 147.15/22.43
% 147.15/22.43 [8505] CLOSURE : ~left_convergent_lines(L41_134_10, M42_134_10)
% 147.15/22.43
% 147.15/22.43 [6325] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8156] ~(left_apart_point(A39_450_9, L40_450_9) | left_apart_point(A39_450_9, reverse_line(L40_450_9)))
% 147.15/22.43
% 147.15/22.43 [8156] ALPHA_NOT_OR : ~(left_apart_point(A39_450_9, L40_450_9) | left_apart_point(A39_450_9, reverse_line(L40_450_9)))
% 147.15/22.43 -> [8158] ~left_apart_point(A39_450_9, L40_450_9), ~left_apart_point(A39_450_9, reverse_line(L40_450_9))
% 147.15/22.43
% 147.15/22.43 [8158] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [8644] ~(left_convergent_lines(L41_144_10, M42_144_10) | left_convergent_lines(L41_144_10, reverse_line(M42_144_10)))
% 147.15/22.43
% 147.15/22.43 [8644] ALPHA_NOT_OR : ~(left_convergent_lines(L41_144_10, M42_144_10) | left_convergent_lines(L41_144_10, reverse_line(M42_144_10)))
% 147.15/22.43 -> [8646] ~left_convergent_lines(L41_144_10, M42_144_10), ~left_convergent_lines(L41_144_10, reverse_line(M42_144_10))
% 147.15/22.43
% 147.15/22.43 [8646] CLOSURE : ~left_convergent_lines(L41_144_10, M42_144_10)
% 147.15/22.43
% 147.15/22.43 [6079] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [6109] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [6110] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [6110] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [6304] ((unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [6304] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [6307] ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6308] (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [6308] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_N7979) | left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6311] left_convergent_lines(skolem_L7777, skolem_N7979)
% 147.15/22.43 -> [6312] left_convergent_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6312] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [6463] ~(left_apart_point(A39_250_9, L40_250_9) | left_apart_point(A39_250_9, reverse_line(L40_250_9)))
% 147.15/22.43
% 147.15/22.43 [6463] ALPHA_NOT_OR : ~(left_apart_point(A39_250_9, L40_250_9) | left_apart_point(A39_250_9, reverse_line(L40_250_9)))
% 147.15/22.43 -> [6464] ~left_apart_point(A39_250_9, L40_250_9), ~left_apart_point(A39_250_9, reverse_line(L40_250_9))
% 147.15/22.43
% 147.15/22.43 [6464] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [6482] ~(left_convergent_lines(L41_48_10, M42_48_10) | left_convergent_lines(L41_48_10, reverse_line(M42_48_10)))
% 147.15/22.43
% 147.15/22.43 [6482] ALPHA_NOT_OR : ~(left_convergent_lines(L41_48_10, M42_48_10) | left_convergent_lines(L41_48_10, reverse_line(M42_48_10)))
% 147.15/22.43 -> [6483] ~left_convergent_lines(L41_48_10, M42_48_10), ~left_convergent_lines(L41_48_10, reverse_line(M42_48_10))
% 147.15/22.43
% 147.15/22.43 [6483] CLOSURE : ~left_convergent_lines(L41_48_10, M42_48_10)
% 147.15/22.43
% 147.15/22.43 [6311] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [6468] ~(left_apart_point(A39_251_9, L40_251_9) | left_apart_point(A39_251_9, reverse_line(L40_251_9)))
% 147.15/22.43
% 147.15/22.43 [6468] ALPHA_NOT_OR : ~(left_apart_point(A39_251_9, L40_251_9) | left_apart_point(A39_251_9, reverse_line(L40_251_9)))
% 147.15/22.43 -> [6472] ~left_apart_point(A39_251_9, L40_251_9), ~left_apart_point(A39_251_9, reverse_line(L40_251_9))
% 147.15/22.43
% 147.15/22.43 [6472] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [6488] ~(left_convergent_lines(L41_49_10, M42_49_10) | left_convergent_lines(L41_49_10, reverse_line(M42_49_10)))
% 147.15/22.43
% 147.15/22.43 [6488] ALPHA_NOT_OR : ~(left_convergent_lines(L41_49_10, M42_49_10) | left_convergent_lines(L41_49_10, reverse_line(M42_49_10)))
% 147.15/22.43 -> [6489] ~left_convergent_lines(L41_49_10, M42_49_10), ~left_convergent_lines(L41_49_10, reverse_line(M42_49_10))
% 147.15/22.43
% 147.15/22.43 [6489] CLOSURE : ~left_convergent_lines(L41_49_10, M42_49_10)
% 147.15/22.43
% 147.15/22.43 [6307] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_N7979) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6412] ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 147.15/22.43 -> [6413] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6412] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [6413] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6109] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [6399] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [6399] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [6400] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [6401] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [6400] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [7953] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [7954] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [7954] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [7953] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [6401] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [6406] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [6407] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [6406] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [6576] ~(left_apart_point(A39_261_9, L40_261_9) | left_apart_point(A39_261_9, reverse_line(L40_261_9)))
% 147.15/22.43
% 147.15/22.43 [6576] ALPHA_NOT_OR : ~(left_apart_point(A39_261_9, L40_261_9) | left_apart_point(A39_261_9, reverse_line(L40_261_9)))
% 147.15/22.43 -> [6580] ~left_apart_point(A39_261_9, L40_261_9), ~left_apart_point(A39_261_9, reverse_line(L40_261_9))
% 147.15/22.43
% 147.15/22.43 [6580] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [7422] ~(left_convergent_lines(L41_85_10, M42_85_10) | left_convergent_lines(L41_85_10, reverse_line(M42_85_10)))
% 147.15/22.43
% 147.15/22.43 [7422] ALPHA_NOT_OR : ~(left_convergent_lines(L41_85_10, M42_85_10) | left_convergent_lines(L41_85_10, reverse_line(M42_85_10)))
% 147.15/22.43 -> [7424] ~left_convergent_lines(L41_85_10, M42_85_10), ~left_convergent_lines(L41_85_10, reverse_line(M42_85_10))
% 147.15/22.43
% 147.15/22.43 [7424] CLOSURE : ~left_convergent_lines(L41_85_10, M42_85_10)
% 147.15/22.43
% 147.15/22.43 [6407] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8398] ~(left_apart_point(A39_488_9, L40_488_9) | left_apart_point(A39_488_9, reverse_line(L40_488_9)))
% 147.15/22.43
% 147.15/22.43 [8398] ALPHA_NOT_OR : ~(left_apart_point(A39_488_9, L40_488_9) | left_apart_point(A39_488_9, reverse_line(L40_488_9)))
% 147.15/22.43 -> [8403] ~left_apart_point(A39_488_9, L40_488_9), ~left_apart_point(A39_488_9, reverse_line(L40_488_9))
% 147.15/22.43
% 147.15/22.43 [8403] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [8664] ~(left_convergent_lines(L41_147_10, M42_147_10) | left_convergent_lines(L41_147_10, reverse_line(M42_147_10)))
% 147.15/22.43
% 147.15/22.43 [8664] ALPHA_NOT_OR : ~(left_convergent_lines(L41_147_10, M42_147_10) | left_convergent_lines(L41_147_10, reverse_line(M42_147_10)))
% 147.15/22.43 -> [8730] ~left_convergent_lines(L41_147_10, M42_147_10), ~left_convergent_lines(L41_147_10, reverse_line(M42_147_10))
% 147.15/22.43
% 147.15/22.43 [8730] CLOSURE : ~left_convergent_lines(L41_147_10, M42_147_10)
% 147.15/22.43
% 147.15/22.43 [5912] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_58_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_58_6)))
% 147.15/22.43 -> [5914] unequally_directed_lines(skolem_N7979, N34_58_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_58_6))
% 147.15/22.43
% 147.15/22.43 [5914] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [6036] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.15/22.43
% 147.15/22.43 [6036] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.15/22.43 -> [6038] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [6039] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43
% 147.15/22.43 [6039] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43 -> [6042] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [6043] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43
% 147.15/22.43 [6042] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [6043] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [6252] ((unequally_directed_lines(skolem_N7979, M38_131_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_131_8))) => (left_convergent_lines(skolem_N7979, M38_131_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_131_8))))
% 147.15/22.43
% 147.15/22.43 [6252] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_131_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_131_8))) => (left_convergent_lines(skolem_N7979, M38_131_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_131_8))))
% 147.15/22.43 -> [6253] ~(unequally_directed_lines(skolem_N7979, M38_131_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_131_8)))
% 147.15/22.43 -> [6254] (left_convergent_lines(skolem_N7979, M38_131_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_131_8)))
% 147.15/22.43
% 147.15/22.43 [6253] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_131_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_131_8)))
% 147.15/22.43 -> [6375] ~unequally_directed_lines(skolem_N7979, M38_131_8)
% 147.15/22.43 -> [6376] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_131_8))
% 147.15/22.43
% 147.15/22.43 [6376] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_131_8))
% 147.15/22.43
% 147.15/22.43 [6375] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_131_8)
% 147.15/22.43
% 147.15/22.43 [6254] BETA_OR : (left_convergent_lines(skolem_N7979, M38_131_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_131_8)))
% 147.15/22.43 -> [6256] left_convergent_lines(skolem_N7979, M38_131_8)
% 147.15/22.43 -> [6257] left_convergent_lines(skolem_N7979, reverse_line(M38_131_8))
% 147.15/22.43
% 147.15/22.43 [6256] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8374] ~(left_apart_point(A39_483_9, L40_483_9) | left_apart_point(A39_483_9, reverse_line(L40_483_9)))
% 147.15/22.43
% 147.15/22.43 [8374] ALPHA_NOT_OR : ~(left_apart_point(A39_483_9, L40_483_9) | left_apart_point(A39_483_9, reverse_line(L40_483_9)))
% 147.15/22.43 -> [8377] ~left_apart_point(A39_483_9, L40_483_9), ~left_apart_point(A39_483_9, reverse_line(L40_483_9))
% 147.15/22.43
% 147.15/22.43 [8377] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [8634] ~(left_convergent_lines(L41_143_10, M42_143_10) | left_convergent_lines(L41_143_10, reverse_line(M42_143_10)))
% 147.15/22.43
% 147.15/22.43 [8634] ALPHA_NOT_OR : ~(left_convergent_lines(L41_143_10, M42_143_10) | left_convergent_lines(L41_143_10, reverse_line(M42_143_10)))
% 147.15/22.43 -> [8637] ~left_convergent_lines(L41_143_10, M42_143_10), ~left_convergent_lines(L41_143_10, reverse_line(M42_143_10))
% 147.15/22.43
% 147.15/22.43 [8637] CLOSURE : ~left_convergent_lines(L41_143_10, M42_143_10)
% 147.15/22.43
% 147.15/22.43 [6257] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8427] ~(left_apart_point(A39_492_9, L40_492_9) | left_apart_point(A39_492_9, reverse_line(L40_492_9)))
% 147.15/22.43
% 147.15/22.43 [8427] ALPHA_NOT_OR : ~(left_apart_point(A39_492_9, L40_492_9) | left_apart_point(A39_492_9, reverse_line(L40_492_9)))
% 147.15/22.43 -> [8428] ~left_apart_point(A39_492_9, L40_492_9), ~left_apart_point(A39_492_9, reverse_line(L40_492_9))
% 147.15/22.43
% 147.15/22.43 [8428] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [8650] ~(left_convergent_lines(L41_146_10, M42_146_10) | left_convergent_lines(L41_146_10, reverse_line(M42_146_10)))
% 147.15/22.43
% 147.15/22.43 [8650] ALPHA_NOT_OR : ~(left_convergent_lines(L41_146_10, M42_146_10) | left_convergent_lines(L41_146_10, reverse_line(M42_146_10)))
% 147.15/22.43 -> [8653] ~left_convergent_lines(L41_146_10, M42_146_10), ~left_convergent_lines(L41_146_10, reverse_line(M42_146_10))
% 147.15/22.43
% 147.15/22.43 [8653] CLOSURE : ~left_convergent_lines(L41_146_10, M42_146_10)
% 147.15/22.43
% 147.15/22.43 [6038] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [6087] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [6088] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [6087] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [6335] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [6335] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [6339] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6340] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [6339] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6425] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [6426] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6426] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6425] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [6340] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6348] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [6349] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6348] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8205] ~(left_apart_point(A39_457_9, L40_457_9) | left_apart_point(A39_457_9, reverse_line(L40_457_9)))
% 147.15/22.43
% 147.15/22.43 [8205] ALPHA_NOT_OR : ~(left_apart_point(A39_457_9, L40_457_9) | left_apart_point(A39_457_9, reverse_line(L40_457_9)))
% 147.15/22.43 -> [8207] ~left_apart_point(A39_457_9, L40_457_9), ~left_apart_point(A39_457_9, reverse_line(L40_457_9))
% 147.15/22.43
% 147.15/22.43 [8207] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [8584] ~(left_convergent_lines(L41_138_10, M42_138_10) | left_convergent_lines(L41_138_10, reverse_line(M42_138_10)))
% 147.15/22.43
% 147.15/22.43 [8584] ALPHA_NOT_OR : ~(left_convergent_lines(L41_138_10, M42_138_10) | left_convergent_lines(L41_138_10, reverse_line(M42_138_10)))
% 147.15/22.43 -> [8587] ~left_convergent_lines(L41_138_10, M42_138_10), ~left_convergent_lines(L41_138_10, reverse_line(M42_138_10))
% 147.15/22.43
% 147.15/22.43 [8587] CLOSURE : ~left_convergent_lines(L41_138_10, M42_138_10)
% 147.15/22.43
% 147.15/22.43 [6349] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8174] ~(left_apart_point(A39_451_9, L40_451_9) | left_apart_point(A39_451_9, reverse_line(L40_451_9)))
% 147.15/22.43
% 147.15/22.43 [8174] ALPHA_NOT_OR : ~(left_apart_point(A39_451_9, L40_451_9) | left_apart_point(A39_451_9, reverse_line(L40_451_9)))
% 147.15/22.43 -> [8177] ~left_apart_point(A39_451_9, L40_451_9), ~left_apart_point(A39_451_9, reverse_line(L40_451_9))
% 147.15/22.43
% 147.15/22.43 [8177] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [8689] ~(left_convergent_lines(L41_150_10, M42_150_10) | left_convergent_lines(L41_150_10, reverse_line(M42_150_10)))
% 147.15/22.43
% 147.15/22.43 [8689] ALPHA_NOT_OR : ~(left_convergent_lines(L41_150_10, M42_150_10) | left_convergent_lines(L41_150_10, reverse_line(M42_150_10)))
% 147.15/22.43 -> [8692] ~left_convergent_lines(L41_150_10, M42_150_10), ~left_convergent_lines(L41_150_10, reverse_line(M42_150_10))
% 147.15/22.43
% 147.15/22.43 [8692] CLOSURE : ~left_convergent_lines(L41_150_10, M42_150_10)
% 147.15/22.43
% 147.15/22.43 [6088] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [6234] ((unequally_directed_lines(skolem_N7979, M38_128_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_128_8))) => (left_convergent_lines(skolem_N7979, M38_128_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_128_8))))
% 147.15/22.43
% 147.15/22.43 [6234] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_128_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_128_8))) => (left_convergent_lines(skolem_N7979, M38_128_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_128_8))))
% 147.15/22.43 -> [6235] ~(unequally_directed_lines(skolem_N7979, M38_128_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_128_8)))
% 147.15/22.43 -> [6236] (left_convergent_lines(skolem_N7979, M38_128_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_128_8)))
% 147.15/22.43
% 147.15/22.43 [6235] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_128_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_128_8)))
% 147.15/22.43 -> [6360] ~unequally_directed_lines(skolem_N7979, M38_128_8)
% 147.15/22.43 -> [6361] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_128_8))
% 147.15/22.43
% 147.15/22.43 [6361] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_128_8))
% 147.15/22.43
% 147.15/22.43 [6360] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_128_8)
% 147.15/22.43
% 147.15/22.43 [6236] BETA_OR : (left_convergent_lines(skolem_N7979, M38_128_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_128_8)))
% 147.15/22.43 -> [6243] left_convergent_lines(skolem_N7979, M38_128_8)
% 147.15/22.43 -> [6244] left_convergent_lines(skolem_N7979, reverse_line(M38_128_8))
% 147.15/22.43
% 147.15/22.43 [6243] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8348] ~(left_apart_point(A39_480_9, L40_480_9) | left_apart_point(A39_480_9, reverse_line(L40_480_9)))
% 147.15/22.43
% 147.15/22.43 [8348] ALPHA_NOT_OR : ~(left_apart_point(A39_480_9, L40_480_9) | left_apart_point(A39_480_9, reverse_line(L40_480_9)))
% 147.15/22.43 -> [8353] ~left_apart_point(A39_480_9, L40_480_9), ~left_apart_point(A39_480_9, reverse_line(L40_480_9))
% 147.15/22.43
% 147.15/22.43 [8353] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [8463] ~(left_convergent_lines(L41_131_10, M42_131_10) | left_convergent_lines(L41_131_10, reverse_line(M42_131_10)))
% 147.15/22.43
% 147.15/22.43 [8463] ALPHA_NOT_OR : ~(left_convergent_lines(L41_131_10, M42_131_10) | left_convergent_lines(L41_131_10, reverse_line(M42_131_10)))
% 147.15/22.43 -> [8466] ~left_convergent_lines(L41_131_10, M42_131_10), ~left_convergent_lines(L41_131_10, reverse_line(M42_131_10))
% 147.15/22.43
% 147.15/22.43 [8466] CLOSURE : ~left_convergent_lines(L41_131_10, M42_131_10)
% 147.15/22.43
% 147.15/22.43 [6244] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8435] ~(left_apart_point(A39_493_9, L40_493_9) | left_apart_point(A39_493_9, reverse_line(L40_493_9)))
% 147.15/22.43
% 147.15/22.43 [8435] ALPHA_NOT_OR : ~(left_apart_point(A39_493_9, L40_493_9) | left_apart_point(A39_493_9, reverse_line(L40_493_9)))
% 147.15/22.43 -> [8436] ~left_apart_point(A39_493_9, L40_493_9), ~left_apart_point(A39_493_9, reverse_line(L40_493_9))
% 147.15/22.43
% 147.15/22.43 [8436] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.43 -> [8860] ~(left_convergent_lines(L41_163_10, M42_163_10) | left_convergent_lines(L41_163_10, reverse_line(M42_163_10)))
% 147.15/22.43
% 147.15/22.43 [8860] ALPHA_NOT_OR : ~(left_convergent_lines(L41_163_10, M42_163_10) | left_convergent_lines(L41_163_10, reverse_line(M42_163_10)))
% 147.15/22.43 -> [8861] ~left_convergent_lines(L41_163_10, M42_163_10), ~left_convergent_lines(L41_163_10, reverse_line(M42_163_10))
% 147.15/22.43
% 147.15/22.43 [8861] CLOSURE : ~left_convergent_lines(L41_163_10, M42_163_10)
% 147.15/22.43
% 147.15/22.43 [265] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43 -> [277] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [277] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43 -> [284] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.43 -> [285] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [285] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [560] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [560] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [584] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [584] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.43 -> [585] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [586] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [585] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [586] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.43 -> [1476] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43 -> [1477] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [1476] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [1477] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [1599] ~distinct_lines(N27_10_3, N27_10_3)
% 147.15/22.43
% 147.15/22.43 [1599] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [1615] (distinct_lines(N27_10_3, N27_10_3) => (distinct_lines(N27_10_3, N27_10_3) | distinct_lines(N27_10_3, N27_10_3)))
% 147.15/22.43
% 147.15/22.43 [1615] BETA_IMPLY : (distinct_lines(N27_10_3, N27_10_3) => (distinct_lines(N27_10_3, N27_10_3) | distinct_lines(N27_10_3, N27_10_3)))
% 147.15/22.43 -> [1616] ~distinct_lines(N27_10_3, N27_10_3)
% 147.15/22.43 -> [1617] (distinct_lines(N27_10_3, N27_10_3) | distinct_lines(N27_10_3, N27_10_3))
% 147.15/22.43
% 147.15/22.43 [1617] BETA_OR : (distinct_lines(N27_10_3, N27_10_3) | distinct_lines(N27_10_3, N27_10_3))
% 147.15/22.43 -> [1622] distinct_lines(N27_10_3, N27_10_3)
% 147.15/22.43 -> [1623] distinct_lines(N27_10_3, N27_10_3)
% 147.15/22.43
% 147.15/22.43 [1622] CLOSURE : distinct_lines(N27_10_3, N27_10_3)
% 147.15/22.43
% 147.15/22.43 [1623] CLOSURE : distinct_lines(N27_10_3, N27_10_3)
% 147.15/22.43
% 147.15/22.43 [1616] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [1640] ~unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [1640] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [1714] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43
% 147.15/22.43 [1714] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43 -> [1715] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [1716] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43
% 147.15/22.43 [1715] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [1716] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [2435] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [2436] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [2436] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [2435] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [2771] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))))
% 147.15/22.43
% 147.15/22.43 [2771] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))))
% 147.15/22.43 -> [2774] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [2775] ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.15/22.43
% 147.15/22.43 [2774] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [2786] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [2787] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [2787] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [2786] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [2775] BETA_OR : ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))) | (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.15/22.43 -> [3174] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.43 -> [3175] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.43
% 147.15/22.43 [3174] ALPHA_AND : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.43 -> [3181] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.43
% 147.15/22.43 [3181] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.43
% 147.15/22.43 [3175] ALPHA_AND : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)) & unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.43 -> [3178] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)), unequally_directed_lines(skolem_M7878, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.43
% 147.15/22.43 [3178] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [3302] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.15/22.43
% 147.15/22.43 [3302] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.15/22.43 -> [3304] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [3305] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43
% 147.15/22.43 [3305] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43 -> [3309] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [3310] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43
% 147.15/22.43 [3309] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [3310] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [3528] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [3528] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [3529] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [3530] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [3529] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [3579] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [3580] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [3580] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [3579] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [3530] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [3538] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [3539] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [3539] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [3608] ~(left_apart_point(A39_26_9, L40_26_9) | left_apart_point(A39_26_9, reverse_line(L40_26_9)))
% 147.15/22.43
% 147.15/22.43 [3608] ALPHA_NOT_OR : ~(left_apart_point(A39_26_9, L40_26_9) | left_apart_point(A39_26_9, reverse_line(L40_26_9)))
% 147.15/22.43 -> [3613] ~left_apart_point(A39_26_9, L40_26_9), ~left_apart_point(A39_26_9, reverse_line(L40_26_9))
% 147.15/22.43
% 147.15/22.43 [3613] CLOSURE : ~left_apart_point(A39_26_9, L40_26_9)
% 147.15/22.43
% 147.15/22.43 [3538] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [3672] ~(left_apart_point(A39_31_9, L40_31_9) | left_apart_point(A39_31_9, reverse_line(L40_31_9)))
% 147.15/22.43
% 147.15/22.43 [3672] ALPHA_NOT_OR : ~(left_apart_point(A39_31_9, L40_31_9) | left_apart_point(A39_31_9, reverse_line(L40_31_9)))
% 147.15/22.43 -> [3673] ~left_apart_point(A39_31_9, L40_31_9), ~left_apart_point(A39_31_9, reverse_line(L40_31_9))
% 147.15/22.43
% 147.15/22.43 [3673] CLOSURE : ~left_apart_point(A39_31_9, L40_31_9)
% 147.15/22.43
% 147.15/22.43 [3304] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [3318] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [3319] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [3318] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [3353] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [3353] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [3354] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [3355] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [3354] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [3359] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [3360] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [3360] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [3359] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [3355] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [3356] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [3357] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [3356] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [3411] ~(left_apart_point(A39_18_9, L40_18_9) | left_apart_point(A39_18_9, reverse_line(L40_18_9)))
% 147.15/22.43
% 147.15/22.43 [3411] ALPHA_NOT_OR : ~(left_apart_point(A39_18_9, L40_18_9) | left_apart_point(A39_18_9, reverse_line(L40_18_9)))
% 147.15/22.43 -> [3412] ~left_apart_point(A39_18_9, L40_18_9), ~left_apart_point(A39_18_9, reverse_line(L40_18_9))
% 147.15/22.43
% 147.15/22.43 [3412] CLOSURE : ~left_apart_point(A39_18_9, L40_18_9)
% 147.15/22.43
% 147.15/22.43 [3357] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [3550] ~(left_apart_point(A39_19_9, L40_19_9) | left_apart_point(A39_19_9, reverse_line(L40_19_9)))
% 147.15/22.43
% 147.15/22.43 [3550] ALPHA_NOT_OR : ~(left_apart_point(A39_19_9, L40_19_9) | left_apart_point(A39_19_9, reverse_line(L40_19_9)))
% 147.15/22.43 -> [3551] ~left_apart_point(A39_19_9, L40_19_9), ~left_apart_point(A39_19_9, reverse_line(L40_19_9))
% 147.15/22.43
% 147.15/22.43 [3551] CLOSURE : ~left_apart_point(A39_19_9, L40_19_9)
% 147.15/22.43
% 147.15/22.43 [3319] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [3342] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [3342] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [3346] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [3347] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [3346] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [3396] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [3397] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [3396] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [3397] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [3347] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [3453] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [3454] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [3454] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [3823] ~(left_apart_point(A39_37_9, L40_37_9) | left_apart_point(A39_37_9, reverse_line(L40_37_9)))
% 147.15/22.43
% 147.15/22.43 [3823] ALPHA_NOT_OR : ~(left_apart_point(A39_37_9, L40_37_9) | left_apart_point(A39_37_9, reverse_line(L40_37_9)))
% 147.15/22.43 -> [3824] ~left_apart_point(A39_37_9, L40_37_9), ~left_apart_point(A39_37_9, reverse_line(L40_37_9))
% 147.15/22.43
% 147.15/22.43 [3824] CLOSURE : ~left_apart_point(A39_37_9, L40_37_9)
% 147.15/22.43
% 147.15/22.43 [3453] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [3827] ~(left_apart_point(A39_38_9, L40_38_9) | left_apart_point(A39_38_9, reverse_line(L40_38_9)))
% 147.15/22.43
% 147.15/22.43 [3827] ALPHA_NOT_OR : ~(left_apart_point(A39_38_9, L40_38_9) | left_apart_point(A39_38_9, reverse_line(L40_38_9)))
% 147.15/22.43 -> [3828] ~left_apart_point(A39_38_9, L40_38_9), ~left_apart_point(A39_38_9, reverse_line(L40_38_9))
% 147.15/22.43
% 147.15/22.43 [3828] CLOSURE : ~left_apart_point(A39_38_9, L40_38_9)
% 147.15/22.43
% 147.15/22.43 [284] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [499] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [499] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [517] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [517] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.43 -> [521] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [522] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [521] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [522] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.43 -> [1810] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43 -> [1811] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [1810] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [1811] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [3148] ~distinct_lines(N27_101_3, N27_101_3)
% 147.15/22.43
% 147.15/22.43 [3148] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [3191] (distinct_lines(N27_101_3, N27_101_3) => (distinct_lines(N27_101_3, N27_101_3) | distinct_lines(N27_101_3, N27_101_3)))
% 147.15/22.43
% 147.15/22.43 [3191] BETA_IMPLY : (distinct_lines(N27_101_3, N27_101_3) => (distinct_lines(N27_101_3, N27_101_3) | distinct_lines(N27_101_3, N27_101_3)))
% 147.15/22.43 -> [3192] ~distinct_lines(N27_101_3, N27_101_3)
% 147.15/22.43 -> [3193] (distinct_lines(N27_101_3, N27_101_3) | distinct_lines(N27_101_3, N27_101_3))
% 147.15/22.43
% 147.15/22.43 [3193] BETA_OR : (distinct_lines(N27_101_3, N27_101_3) | distinct_lines(N27_101_3, N27_101_3))
% 147.15/22.43 -> [3195] distinct_lines(N27_101_3, N27_101_3)
% 147.15/22.43 -> [3196] distinct_lines(N27_101_3, N27_101_3)
% 147.15/22.43
% 147.15/22.43 [3196] CLOSURE : distinct_lines(N27_101_3, N27_101_3)
% 147.15/22.43
% 147.15/22.43 [3195] CLOSURE : distinct_lines(N27_101_3, N27_101_3)
% 147.15/22.43
% 147.15/22.43 [3192] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [3203] ~unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [3203] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [3222] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43
% 147.15/22.43 [3222] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) => (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43 -> [3223] ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [3224] (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43
% 147.15/22.43 [3223] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [3224] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [5381] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [5382] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [5382] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [5381] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [8549] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_110_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_110_6))) | (unequally_directed_lines(skolem_N7979, N34_110_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_110_6)))))
% 147.15/22.43
% 147.15/22.43 [8549] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_110_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_110_6))) | (unequally_directed_lines(skolem_N7979, N34_110_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_110_6)))))
% 147.15/22.43 -> [8556] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8557] ((unequally_directed_lines(skolem_M7878, N34_110_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_110_6))) | (unequally_directed_lines(skolem_N7979, N34_110_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_110_6))))
% 147.15/22.43
% 147.15/22.43 [8556] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [8585] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [8586] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [8586] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [8585] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [8557] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_110_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_110_6))) | (unequally_directed_lines(skolem_N7979, N34_110_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_110_6))))
% 147.15/22.43 -> [12544] (unequally_directed_lines(skolem_M7878, N34_110_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_110_6)))
% 147.15/22.43 -> [12545] (unequally_directed_lines(skolem_N7979, N34_110_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_110_6)))
% 147.15/22.43
% 147.15/22.43 [12545] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_110_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_110_6)))
% 147.15/22.43 -> [12552] unequally_directed_lines(skolem_N7979, N34_110_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_110_6))
% 147.15/22.43
% 147.15/22.43 [12552] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [12563] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.15/22.43
% 147.15/22.43 [12563] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.15/22.43 -> [12564] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [12565] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43
% 147.15/22.43 [12564] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [12606] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [12607] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [12606] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [12739] ((unequally_directed_lines(skolem_N7979, M38_538_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_538_8))) => (left_convergent_lines(skolem_N7979, M38_538_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_538_8))))
% 147.15/22.43
% 147.15/22.43 [12739] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_538_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_538_8))) => (left_convergent_lines(skolem_N7979, M38_538_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_538_8))))
% 147.15/22.43 -> [12742] ~(unequally_directed_lines(skolem_N7979, M38_538_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_538_8)))
% 147.15/22.43 -> [12743] (left_convergent_lines(skolem_N7979, M38_538_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_538_8)))
% 147.15/22.43
% 147.15/22.43 [12742] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_538_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_538_8)))
% 147.15/22.43 -> [12754] ~unequally_directed_lines(skolem_N7979, M38_538_8)
% 147.15/22.43 -> [12755] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_538_8))
% 147.15/22.43
% 147.15/22.43 [12755] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_538_8))
% 147.15/22.43
% 147.15/22.43 [12754] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_538_8)
% 147.15/22.43
% 147.15/22.43 [12743] BETA_OR : (left_convergent_lines(skolem_N7979, M38_538_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_538_8)))
% 147.15/22.43 -> [12750] left_convergent_lines(skolem_N7979, M38_538_8)
% 147.15/22.43 -> [12751] left_convergent_lines(skolem_N7979, reverse_line(M38_538_8))
% 147.15/22.43
% 147.15/22.43 [12751] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12765] ~(left_apart_point(A39_1068_9, L40_1068_9) | left_apart_point(A39_1068_9, reverse_line(L40_1068_9)))
% 147.15/22.43
% 147.15/22.43 [12765] ALPHA_NOT_OR : ~(left_apart_point(A39_1068_9, L40_1068_9) | left_apart_point(A39_1068_9, reverse_line(L40_1068_9)))
% 147.15/22.43 -> [12767] ~left_apart_point(A39_1068_9, L40_1068_9), ~left_apart_point(A39_1068_9, reverse_line(L40_1068_9))
% 147.15/22.43
% 147.15/22.43 [12767] CLOSURE : ~left_apart_point(A39_1068_9, L40_1068_9)
% 147.15/22.43
% 147.15/22.43 [12750] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12766] ~(left_apart_point(A39_1069_9, L40_1069_9) | left_apart_point(A39_1069_9, reverse_line(L40_1069_9)))
% 147.15/22.43
% 147.15/22.43 [12766] ALPHA_NOT_OR : ~(left_apart_point(A39_1069_9, L40_1069_9) | left_apart_point(A39_1069_9, reverse_line(L40_1069_9)))
% 147.15/22.43 -> [12768] ~left_apart_point(A39_1069_9, L40_1069_9), ~left_apart_point(A39_1069_9, reverse_line(L40_1069_9))
% 147.15/22.43
% 147.15/22.43 [12768] CLOSURE : ~left_apart_point(A39_1069_9, L40_1069_9)
% 147.15/22.43
% 147.15/22.43 [12607] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [12756] ((unequally_directed_lines(skolem_N7979, M38_539_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_539_8))) => (left_convergent_lines(skolem_N7979, M38_539_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_539_8))))
% 147.15/22.43
% 147.15/22.43 [12756] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_539_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_539_8))) => (left_convergent_lines(skolem_N7979, M38_539_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_539_8))))
% 147.15/22.43 -> [12757] ~(unequally_directed_lines(skolem_N7979, M38_539_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_539_8)))
% 147.15/22.43 -> [12758] (left_convergent_lines(skolem_N7979, M38_539_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_539_8)))
% 147.15/22.43
% 147.15/22.43 [12758] BETA_OR : (left_convergent_lines(skolem_N7979, M38_539_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_539_8)))
% 147.15/22.43 -> [12761] left_convergent_lines(skolem_N7979, M38_539_8)
% 147.15/22.43 -> [12762] left_convergent_lines(skolem_N7979, reverse_line(M38_539_8))
% 147.15/22.43
% 147.15/22.43 [12761] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12775] ~(left_apart_point(A39_1072_9, L40_1072_9) | left_apart_point(A39_1072_9, reverse_line(L40_1072_9)))
% 147.15/22.43
% 147.15/22.43 [12775] ALPHA_NOT_OR : ~(left_apart_point(A39_1072_9, L40_1072_9) | left_apart_point(A39_1072_9, reverse_line(L40_1072_9)))
% 147.15/22.43 -> [12776] ~left_apart_point(A39_1072_9, L40_1072_9), ~left_apart_point(A39_1072_9, reverse_line(L40_1072_9))
% 147.15/22.43
% 147.15/22.43 [12776] CLOSURE : ~left_apart_point(A39_1072_9, L40_1072_9)
% 147.15/22.43
% 147.15/22.43 [12762] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12777] ~(left_apart_point(A39_1073_9, L40_1073_9) | left_apart_point(A39_1073_9, reverse_line(L40_1073_9)))
% 147.15/22.43
% 147.15/22.43 [12777] ALPHA_NOT_OR : ~(left_apart_point(A39_1073_9, L40_1073_9) | left_apart_point(A39_1073_9, reverse_line(L40_1073_9)))
% 147.15/22.43 -> [12780] ~left_apart_point(A39_1073_9, L40_1073_9), ~left_apart_point(A39_1073_9, reverse_line(L40_1073_9))
% 147.15/22.43
% 147.15/22.43 [12780] CLOSURE : ~left_apart_point(A39_1073_9, L40_1073_9)
% 147.15/22.43
% 147.15/22.43 [12757] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_539_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_539_8)))
% 147.15/22.43 -> [12769] ~unequally_directed_lines(skolem_N7979, M38_539_8)
% 147.15/22.43 -> [12770] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_539_8))
% 147.15/22.43
% 147.15/22.43 [12769] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_539_8)
% 147.15/22.43
% 147.15/22.43 [12770] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_539_8))
% 147.15/22.43
% 147.15/22.43 [12565] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43 -> [12571] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [12572] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43
% 147.15/22.43 [12571] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [12572] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [12620] ((unequally_directed_lines(skolem_N7979, M38_528_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_528_8))) => (left_convergent_lines(skolem_N7979, M38_528_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_528_8))))
% 147.15/22.43
% 147.15/22.43 [12620] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_528_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_528_8))) => (left_convergent_lines(skolem_N7979, M38_528_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_528_8))))
% 147.15/22.43 -> [12625] ~(unequally_directed_lines(skolem_N7979, M38_528_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_528_8)))
% 147.15/22.43 -> [12626] (left_convergent_lines(skolem_N7979, M38_528_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_528_8)))
% 147.15/22.43
% 147.15/22.43 [12625] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_528_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_528_8)))
% 147.15/22.43 -> [12643] ~unequally_directed_lines(skolem_N7979, M38_528_8)
% 147.15/22.43 -> [12644] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_528_8))
% 147.15/22.43
% 147.15/22.43 [12643] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_528_8)
% 147.15/22.43
% 147.15/22.43 [12644] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_528_8))
% 147.15/22.43
% 147.15/22.43 [12626] BETA_OR : (left_convergent_lines(skolem_N7979, M38_528_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_528_8)))
% 147.15/22.43 -> [12632] left_convergent_lines(skolem_N7979, M38_528_8)
% 147.15/22.43 -> [12633] left_convergent_lines(skolem_N7979, reverse_line(M38_528_8))
% 147.15/22.43
% 147.15/22.43 [12632] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12702] ~(left_apart_point(A39_1057_9, L40_1057_9) | left_apart_point(A39_1057_9, reverse_line(L40_1057_9)))
% 147.15/22.43
% 147.15/22.43 [12702] ALPHA_NOT_OR : ~(left_apart_point(A39_1057_9, L40_1057_9) | left_apart_point(A39_1057_9, reverse_line(L40_1057_9)))
% 147.15/22.43 -> [12703] ~left_apart_point(A39_1057_9, L40_1057_9), ~left_apart_point(A39_1057_9, reverse_line(L40_1057_9))
% 147.15/22.43
% 147.15/22.43 [12703] CLOSURE : ~left_apart_point(A39_1057_9, L40_1057_9)
% 147.15/22.43
% 147.15/22.43 [12633] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12698] ~(left_apart_point(A39_1055_9, L40_1055_9) | left_apart_point(A39_1055_9, reverse_line(L40_1055_9)))
% 147.15/22.43
% 147.15/22.43 [12698] ALPHA_NOT_OR : ~(left_apart_point(A39_1055_9, L40_1055_9) | left_apart_point(A39_1055_9, reverse_line(L40_1055_9)))
% 147.15/22.43 -> [12700] ~left_apart_point(A39_1055_9, L40_1055_9), ~left_apart_point(A39_1055_9, reverse_line(L40_1055_9))
% 147.15/22.43
% 147.15/22.43 [12700] CLOSURE : ~left_apart_point(A39_1055_9, L40_1055_9)
% 147.15/22.43
% 147.15/22.43 [12544] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_110_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_110_6)))
% 147.15/22.43 -> [12553] unequally_directed_lines(skolem_M7878, N34_110_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_110_6))
% 147.15/22.43
% 147.15/22.43 [12553] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [12575] ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.15/22.43
% 147.15/22.43 [12575] BETA_IMPLY : ((line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))) => (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))))
% 147.15/22.43 -> [12576] ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [12577] (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43
% 147.15/22.43 [12577] BETA_OR : (unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) | unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))))
% 147.15/22.43 -> [12582] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [12583] unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), reverse_line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43
% 147.15/22.43 [12582] CLOSURE : unequally_directed_lines(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))), line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [12583] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [12725] ((unequally_directed_lines(skolem_M7878, M38_536_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_536_8))) => (left_convergent_lines(skolem_M7878, M38_536_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_536_8))))
% 147.15/22.43
% 147.15/22.43 [12725] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_536_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_536_8))) => (left_convergent_lines(skolem_M7878, M38_536_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_536_8))))
% 147.15/22.43 -> [12728] ~(unequally_directed_lines(skolem_M7878, M38_536_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_536_8)))
% 147.15/22.43 -> [12729] (left_convergent_lines(skolem_M7878, M38_536_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_536_8)))
% 147.15/22.43
% 147.15/22.43 [12728] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_536_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_536_8)))
% 147.15/22.43 -> [12746] ~unequally_directed_lines(skolem_M7878, M38_536_8)
% 147.15/22.43 -> [12747] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_536_8))
% 147.15/22.43
% 147.15/22.43 [12746] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_536_8)
% 147.15/22.43
% 147.15/22.43 [12747] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_536_8))
% 147.15/22.43
% 147.15/22.43 [12729] BETA_OR : (left_convergent_lines(skolem_M7878, M38_536_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_536_8)))
% 147.15/22.43 -> [12778] left_convergent_lines(skolem_M7878, M38_536_8)
% 147.15/22.43 -> [12779] left_convergent_lines(skolem_M7878, reverse_line(M38_536_8))
% 147.15/22.43
% 147.15/22.43 [12779] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12786] ~(left_apart_point(A39_1074_9, L40_1074_9) | left_apart_point(A39_1074_9, reverse_line(L40_1074_9)))
% 147.15/22.43
% 147.15/22.43 [12786] ALPHA_NOT_OR : ~(left_apart_point(A39_1074_9, L40_1074_9) | left_apart_point(A39_1074_9, reverse_line(L40_1074_9)))
% 147.15/22.43 -> [12789] ~left_apart_point(A39_1074_9, L40_1074_9), ~left_apart_point(A39_1074_9, reverse_line(L40_1074_9))
% 147.15/22.43
% 147.15/22.43 [12789] CLOSURE : ~left_apart_point(A39_1074_9, L40_1074_9)
% 147.15/22.43
% 147.15/22.43 [12778] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12791] ~(left_apart_point(A39_1075_9, L40_1075_9) | left_apart_point(A39_1075_9, reverse_line(L40_1075_9)))
% 147.15/22.43
% 147.15/22.43 [12791] ALPHA_NOT_OR : ~(left_apart_point(A39_1075_9, L40_1075_9) | left_apart_point(A39_1075_9, reverse_line(L40_1075_9)))
% 147.15/22.43 -> [12794] ~left_apart_point(A39_1075_9, L40_1075_9), ~left_apart_point(A39_1075_9, reverse_line(L40_1075_9))
% 147.15/22.43
% 147.15/22.43 [12794] CLOSURE : ~left_apart_point(A39_1075_9, L40_1075_9)
% 147.15/22.43
% 147.15/22.43 [12576] BETA_NOT_AND : ~(line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))) & line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)))))
% 147.15/22.43 -> [12614] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43 -> [12615] ~line(line_connecting(skolem_B8181, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080))))
% 147.15/22.43
% 147.15/22.43 [12614] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [12649] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [12649] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [12651] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [12652] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [12652] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [12661] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [12662] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [12662] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12699] ~(left_apart_point(A39_1056_9, L40_1056_9) | left_apart_point(A39_1056_9, reverse_line(L40_1056_9)))
% 147.15/22.43
% 147.15/22.43 [12699] ALPHA_NOT_OR : ~(left_apart_point(A39_1056_9, L40_1056_9) | left_apart_point(A39_1056_9, reverse_line(L40_1056_9)))
% 147.15/22.43 -> [12701] ~left_apart_point(A39_1056_9, L40_1056_9), ~left_apart_point(A39_1056_9, reverse_line(L40_1056_9))
% 147.15/22.43
% 147.15/22.43 [12701] CLOSURE : ~left_apart_point(A39_1056_9, L40_1056_9)
% 147.15/22.43
% 147.15/22.43 [12661] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12821] ~(left_apart_point(A39_1082_9, L40_1082_9) | left_apart_point(A39_1082_9, reverse_line(L40_1082_9)))
% 147.15/22.43
% 147.15/22.43 [12821] ALPHA_NOT_OR : ~(left_apart_point(A39_1082_9, L40_1082_9) | left_apart_point(A39_1082_9, reverse_line(L40_1082_9)))
% 147.15/22.43 -> [12824] ~left_apart_point(A39_1082_9, L40_1082_9), ~left_apart_point(A39_1082_9, reverse_line(L40_1082_9))
% 147.15/22.43
% 147.15/22.43 [12824] CLOSURE : ~left_apart_point(A39_1082_9, L40_1082_9)
% 147.15/22.43
% 147.15/22.43 [12651] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [12666] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [12667] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [12666] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [12667] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [12615] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [12638] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [12638] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [12641] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [12642] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [12642] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [12645] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [12646] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [12646] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12801] ~(left_apart_point(A39_1077_9, L40_1077_9) | left_apart_point(A39_1077_9, reverse_line(L40_1077_9)))
% 147.15/22.43
% 147.15/22.43 [12801] ALPHA_NOT_OR : ~(left_apart_point(A39_1077_9, L40_1077_9) | left_apart_point(A39_1077_9, reverse_line(L40_1077_9)))
% 147.15/22.43 -> [12802] ~left_apart_point(A39_1077_9, L40_1077_9), ~left_apart_point(A39_1077_9, reverse_line(L40_1077_9))
% 147.15/22.43
% 147.15/22.43 [12802] CLOSURE : ~left_apart_point(A39_1077_9, L40_1077_9)
% 147.15/22.43
% 147.15/22.43 [12645] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [12797] ~(left_apart_point(A39_1076_9, L40_1076_9) | left_apart_point(A39_1076_9, reverse_line(L40_1076_9)))
% 147.15/22.43
% 147.15/22.43 [12797] ALPHA_NOT_OR : ~(left_apart_point(A39_1076_9, L40_1076_9) | left_apart_point(A39_1076_9, reverse_line(L40_1076_9)))
% 147.15/22.43 -> [12798] ~left_apart_point(A39_1076_9, L40_1076_9), ~left_apart_point(A39_1076_9, reverse_line(L40_1076_9))
% 147.15/22.43
% 147.15/22.43 [12798] CLOSURE : ~left_apart_point(A39_1076_9, L40_1076_9)
% 147.15/22.43
% 147.15/22.43 [12641] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [12657] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [12658] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [12658] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [12657] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [27] Rewrite : ~before_on_line(skolem_M7878, intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.15/22.43 -> [31] ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [31] BETA_OR : ((before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)) | (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)))
% 147.15/22.43 -> [35] (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 147.15/22.43 -> [36] (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 147.15/22.43
% 147.15/22.43 [35] ALPHA_AND : (before_on_line(skolem_L7777, skolem_A8080, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_C8282))
% 147.15/22.43 -> [43] before_on_line(skolem_L7777, skolem_A8080, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [43] Rewrite : before_on_line(skolem_L7777, skolem_A8080, skolem_B8181)
% 147.15/22.43 -> [51] (((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [51] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [55] (((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.43
% 147.15/22.43 [55] ALPHA_AND : (((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.43 -> [61] ((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [61] ALPHA_AND : (((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.43 -> [76] ((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.43
% 147.15/22.43 [76] ALPHA_AND : ((distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.15/22.43 -> [83] (distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.43
% 147.15/22.43 [83] ALPHA_AND : ((distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777))))
% 147.15/22.43 -> [88] (distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.15/22.43
% 147.15/22.43 [88] ALPHA_AND : (distinct_points(skolem_A8080, skolem_B8181) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777))))
% 147.15/22.43 -> [92] distinct_points(skolem_A8080, skolem_B8181), ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.15/22.43
% 147.15/22.43 [92] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.43 -> [108] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.15/22.43
% 147.15/22.43 [108] ALPHA_AND : (distinct_points(skolem_B8181, skolem_C8282) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.15/22.43 -> [116] distinct_points(skolem_B8181, skolem_C8282), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.43
% 147.15/22.43 [116] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.15/22.43 -> [125] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 147.15/22.43
% 147.15/22.43 [125] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.15/22.43 -> [131] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 147.15/22.43
% 147.15/22.43 [131] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.43 -> [139] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.15/22.43
% 147.15/22.43 [139] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.43 -> [148] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [149] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [148] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.43 -> [161] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [162] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [161] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [171] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [172] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [172] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [184] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [184] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [190] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [191] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [190] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [262] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43 -> [263] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [262] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [263] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [191] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [196] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [196] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [203] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43 -> [204] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [204] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [203] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [171] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [292] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [293] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [293] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [392] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [392] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [395] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.43 -> [396] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [396] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43 -> [400] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [400] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [401] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43 -> [402] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [402] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [401] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [395] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [490] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43 -> [491] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [490] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [491] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [292] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [852] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.43 -> [853] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [853] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43 -> [856] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [856] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.43 -> [859] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.15/22.43 -> [860] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [859] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.43 -> [915] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.43 -> [916] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [916] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [990] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [990] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [1109] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [1109] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.43 -> [1113] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [1114] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [1113] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1114] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.43 -> [1931] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43 -> [1932] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [1931] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.43
% 147.15/22.43 [1932] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [2527] ~distinct_lines(N27_71_3, N27_71_3)
% 147.15/22.43
% 147.15/22.43 [2527] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [2584] (distinct_lines(N27_71_3, N27_71_3) => (distinct_lines(N27_71_3, N27_71_3) | distinct_lines(N27_71_3, N27_71_3)))
% 147.15/22.43
% 147.15/22.43 [2584] BETA_IMPLY : (distinct_lines(N27_71_3, N27_71_3) => (distinct_lines(N27_71_3, N27_71_3) | distinct_lines(N27_71_3, N27_71_3)))
% 147.15/22.43 -> [2587] ~distinct_lines(N27_71_3, N27_71_3)
% 147.15/22.43 -> [2588] (distinct_lines(N27_71_3, N27_71_3) | distinct_lines(N27_71_3, N27_71_3))
% 147.15/22.43
% 147.15/22.43 [2588] BETA_OR : (distinct_lines(N27_71_3, N27_71_3) | distinct_lines(N27_71_3, N27_71_3))
% 147.15/22.43 -> [2593] distinct_lines(N27_71_3, N27_71_3)
% 147.15/22.43 -> [2594] distinct_lines(N27_71_3, N27_71_3)
% 147.15/22.43
% 147.15/22.43 [2593] CLOSURE : distinct_lines(N27_71_3, N27_71_3)
% 147.15/22.43
% 147.15/22.43 [2594] CLOSURE : distinct_lines(N27_71_3, N27_71_3)
% 147.15/22.43
% 147.15/22.43 [2587] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [2648] ~unequally_directed_lines(skolem_N7979, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [2648] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [2741] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.43
% 147.15/22.43 [2741] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.43 -> [2742] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43 -> [2743] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.43
% 147.15/22.43 [2742] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [2743] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.43 -> [3548] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.43 -> [3549] unequally_directed_lines(skolem_M7878, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [3548] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.43
% 147.15/22.43 [3549] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [5274] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) | (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))))
% 147.15/22.43
% 147.15/22.43 [5274] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) | (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))))
% 147.15/22.43 -> [5277] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [5278] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) | (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [5277] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [5307] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [5308] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [5308] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [5307] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [5278] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) | (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [5766] (unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [5767] (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [5767] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_N7979) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [5772] unequally_directed_lines(skolem_N7979, skolem_N7979), unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [5772] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [5783] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [6497] ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [6497] BETA_IMPLY : ((line(skolem_N7979) & line(skolem_N7979)) => (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [6500] ~(line(skolem_N7979) & line(skolem_N7979))
% 147.15/22.43 -> [6501] (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [6500] BETA_NOT_AND : ~(line(skolem_N7979) & line(skolem_N7979))
% 147.15/22.43 -> [6533] ~line(skolem_N7979)
% 147.15/22.43 -> [6534] ~line(skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [6533] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [6769] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [6769] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [6772] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6773] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [6772] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6778] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [6779] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6779] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6778] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [6773] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6919] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [6920] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6919] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [6974] ~(left_apart_point(A39_306_9, L40_306_9) | left_apart_point(A39_306_9, reverse_line(L40_306_9)))
% 147.15/22.43
% 147.15/22.43 [6974] ALPHA_NOT_OR : ~(left_apart_point(A39_306_9, L40_306_9) | left_apart_point(A39_306_9, reverse_line(L40_306_9)))
% 147.15/22.43 -> [6977] ~left_apart_point(A39_306_9, L40_306_9), ~left_apart_point(A39_306_9, reverse_line(L40_306_9))
% 147.15/22.43
% 147.15/22.43 [6977] CLOSURE : ~left_apart_point(A39_306_9, L40_306_9)
% 147.15/22.43
% 147.15/22.43 [6920] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [6981] ~(left_apart_point(A39_308_9, L40_308_9) | left_apart_point(A39_308_9, reverse_line(L40_308_9)))
% 147.15/22.43
% 147.15/22.43 [6981] ALPHA_NOT_OR : ~(left_apart_point(A39_308_9, L40_308_9) | left_apart_point(A39_308_9, reverse_line(L40_308_9)))
% 147.15/22.43 -> [6984] ~left_apart_point(A39_308_9, L40_308_9), ~left_apart_point(A39_308_9, reverse_line(L40_308_9))
% 147.15/22.43
% 147.15/22.43 [6984] CLOSURE : ~left_apart_point(A39_308_9, L40_308_9)
% 147.15/22.43
% 147.15/22.43 [6534] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [6691] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [6691] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [6696] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6697] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [6696] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6959] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [6960] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6960] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6959] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [6697] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6702] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [6703] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6703] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [7108] ~(left_apart_point(A39_318_9, L40_318_9) | left_apart_point(A39_318_9, reverse_line(L40_318_9)))
% 147.15/22.43
% 147.15/22.43 [7108] ALPHA_NOT_OR : ~(left_apart_point(A39_318_9, L40_318_9) | left_apart_point(A39_318_9, reverse_line(L40_318_9)))
% 147.15/22.43 -> [7110] ~left_apart_point(A39_318_9, L40_318_9), ~left_apart_point(A39_318_9, reverse_line(L40_318_9))
% 147.15/22.43
% 147.15/22.43 [7110] CLOSURE : ~left_apart_point(A39_318_9, L40_318_9)
% 147.15/22.43
% 147.15/22.43 [6702] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [7116] ~(left_apart_point(A39_319_9, L40_319_9) | left_apart_point(A39_319_9, reverse_line(L40_319_9)))
% 147.15/22.43
% 147.15/22.43 [7116] ALPHA_NOT_OR : ~(left_apart_point(A39_319_9, L40_319_9) | left_apart_point(A39_319_9, reverse_line(L40_319_9)))
% 147.15/22.43 -> [7117] ~left_apart_point(A39_319_9, L40_319_9), ~left_apart_point(A39_319_9, reverse_line(L40_319_9))
% 147.15/22.43
% 147.15/22.43 [7117] CLOSURE : ~left_apart_point(A39_319_9, L40_319_9)
% 147.15/22.43
% 147.15/22.43 [6501] BETA_OR : (unequally_directed_lines(skolem_N7979, skolem_N7979) | unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6502] unequally_directed_lines(skolem_N7979, skolem_N7979)
% 147.15/22.43 -> [6503] unequally_directed_lines(skolem_N7979, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6502] CLOSURE : unequally_directed_lines(skolem_N7979, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [6503] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [6712] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43
% 147.15/22.43 [6712] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.43 -> [6717] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6718] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43
% 147.15/22.43 [6717] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [7032] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [7033] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [7033] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [7032] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [6718] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [6723] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [6724] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [6723] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [7219] ~(left_apart_point(A39_332_9, L40_332_9) | left_apart_point(A39_332_9, reverse_line(L40_332_9)))
% 147.15/22.43
% 147.15/22.43 [7219] ALPHA_NOT_OR : ~(left_apart_point(A39_332_9, L40_332_9) | left_apart_point(A39_332_9, reverse_line(L40_332_9)))
% 147.15/22.43 -> [7220] ~left_apart_point(A39_332_9, L40_332_9), ~left_apart_point(A39_332_9, reverse_line(L40_332_9))
% 147.15/22.43
% 147.15/22.43 [7220] CLOSURE : ~left_apart_point(A39_332_9, L40_332_9)
% 147.15/22.43
% 147.15/22.43 [6724] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [7259] ~(left_apart_point(A39_335_9, L40_335_9) | left_apart_point(A39_335_9, reverse_line(L40_335_9)))
% 147.15/22.43
% 147.15/22.43 [7259] ALPHA_NOT_OR : ~(left_apart_point(A39_335_9, L40_335_9) | left_apart_point(A39_335_9, reverse_line(L40_335_9)))
% 147.15/22.43 -> [7261] ~left_apart_point(A39_335_9, L40_335_9), ~left_apart_point(A39_335_9, reverse_line(L40_335_9))
% 147.15/22.43
% 147.15/22.43 [7261] CLOSURE : ~left_apart_point(A39_335_9, L40_335_9)
% 147.15/22.43
% 147.15/22.43 [915] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.43 -> [954] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [954] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.43 -> [1016] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.43
% 147.15/22.43 [1016] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.43 -> [1017] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [1018] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.43
% 147.15/22.43 [1017] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1018] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.43 -> [1823] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.43 -> [1824] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1824] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.43
% 147.15/22.43 [1823] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.43 -> [2331] ~distinct_lines(N27_60_3, N27_60_3)
% 147.15/22.43
% 147.15/22.43 [2331] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.43 -> [2397] (distinct_lines(N27_60_3, N27_60_3) => (distinct_lines(N27_60_3, N27_60_3) | distinct_lines(N27_60_3, N27_60_3)))
% 147.15/22.43
% 147.15/22.43 [2397] BETA_IMPLY : (distinct_lines(N27_60_3, N27_60_3) => (distinct_lines(N27_60_3, N27_60_3) | distinct_lines(N27_60_3, N27_60_3)))
% 147.15/22.43 -> [2846] ~distinct_lines(N27_60_3, N27_60_3)
% 147.15/22.43 -> [2847] (distinct_lines(N27_60_3, N27_60_3) | distinct_lines(N27_60_3, N27_60_3))
% 147.15/22.43
% 147.15/22.43 [2847] BETA_OR : (distinct_lines(N27_60_3, N27_60_3) | distinct_lines(N27_60_3, N27_60_3))
% 147.15/22.43 -> [2850] distinct_lines(N27_60_3, N27_60_3)
% 147.15/22.43 -> [2851] distinct_lines(N27_60_3, N27_60_3)
% 147.15/22.43
% 147.15/22.43 [2850] CLOSURE : distinct_lines(N27_60_3, N27_60_3)
% 147.15/22.43
% 147.15/22.43 [2851] CLOSURE : distinct_lines(N27_60_3, N27_60_3)
% 147.15/22.43
% 147.15/22.43 [2846] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.43 -> [2900] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [2900] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.43 -> [2956] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [2956] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.43 -> [2959] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43 -> [2960] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [2959] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [2960] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.43 -> [5612] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43 -> [5613] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [5612] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [5613] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.43 -> [5665] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.43
% 147.15/22.43 [5665] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.43 -> [5666] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [5667] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [5666] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.43 -> [5687] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43 -> [5688] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [5688] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.43
% 147.15/22.43 [5687] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.43
% 147.15/22.43 [5667] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [8367] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [8368] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [8367] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [8370] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [8370] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [8368] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [8369] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [8369] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.43 -> [8396] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.43
% 147.15/22.43 [8396] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.43 -> [8399] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.43 -> [8400] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43
% 147.15/22.43 [8399] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.43 -> [8413] ~line(skolem_M7878)
% 147.15/22.43 -> [8414] ~line(skolem_M7878)
% 147.15/22.43
% 147.15/22.43 [8413] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [8446] ((unequally_directed_lines(skolem_N7979, M38_266_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_266_8))) => (left_convergent_lines(skolem_N7979, M38_266_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_266_8))))
% 147.15/22.43
% 147.15/22.43 [8446] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_266_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_266_8))) => (left_convergent_lines(skolem_N7979, M38_266_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_266_8))))
% 147.15/22.43 -> [8447] ~(unequally_directed_lines(skolem_N7979, M38_266_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_266_8)))
% 147.15/22.43 -> [8448] (left_convergent_lines(skolem_N7979, M38_266_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_266_8)))
% 147.15/22.43
% 147.15/22.43 [8448] BETA_OR : (left_convergent_lines(skolem_N7979, M38_266_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_266_8)))
% 147.15/22.43 -> [8452] left_convergent_lines(skolem_N7979, M38_266_8)
% 147.15/22.43 -> [8453] left_convergent_lines(skolem_N7979, reverse_line(M38_266_8))
% 147.15/22.43
% 147.15/22.43 [8452] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8542] ~(left_apart_point(A39_515_9, L40_515_9) | left_apart_point(A39_515_9, reverse_line(L40_515_9)))
% 147.15/22.43
% 147.15/22.43 [8542] ALPHA_NOT_OR : ~(left_apart_point(A39_515_9, L40_515_9) | left_apart_point(A39_515_9, reverse_line(L40_515_9)))
% 147.15/22.43 -> [8545] ~left_apart_point(A39_515_9, L40_515_9), ~left_apart_point(A39_515_9, reverse_line(L40_515_9))
% 147.15/22.43
% 147.15/22.43 [8545] CLOSURE : ~left_apart_point(A39_515_9, L40_515_9)
% 147.15/22.43
% 147.15/22.43 [8453] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8551] ~(left_apart_point(A39_518_9, L40_518_9) | left_apart_point(A39_518_9, reverse_line(L40_518_9)))
% 147.15/22.43
% 147.15/22.43 [8551] ALPHA_NOT_OR : ~(left_apart_point(A39_518_9, L40_518_9) | left_apart_point(A39_518_9, reverse_line(L40_518_9)))
% 147.15/22.43 -> [8555] ~left_apart_point(A39_518_9, L40_518_9), ~left_apart_point(A39_518_9, reverse_line(L40_518_9))
% 147.15/22.43
% 147.15/22.43 [8555] CLOSURE : ~left_apart_point(A39_518_9, L40_518_9)
% 147.15/22.43
% 147.15/22.43 [8447] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_266_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_266_8)))
% 147.15/22.43 -> [8480] ~unequally_directed_lines(skolem_N7979, M38_266_8)
% 147.15/22.43 -> [8481] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_266_8))
% 147.15/22.43
% 147.15/22.43 [8481] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_266_8))
% 147.15/22.43
% 147.15/22.43 [8480] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_266_8)
% 147.15/22.43
% 147.15/22.43 [8414] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.43 -> [8460] ((unequally_directed_lines(skolem_N7979, M38_267_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_267_8))) => (left_convergent_lines(skolem_N7979, M38_267_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_267_8))))
% 147.15/22.43
% 147.15/22.43 [8460] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_267_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_267_8))) => (left_convergent_lines(skolem_N7979, M38_267_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_267_8))))
% 147.15/22.43 -> [8461] ~(unequally_directed_lines(skolem_N7979, M38_267_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_267_8)))
% 147.15/22.43 -> [8462] (left_convergent_lines(skolem_N7979, M38_267_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_267_8)))
% 147.15/22.43
% 147.15/22.43 [8462] BETA_OR : (left_convergent_lines(skolem_N7979, M38_267_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_267_8)))
% 147.15/22.43 -> [8464] left_convergent_lines(skolem_N7979, M38_267_8)
% 147.15/22.43 -> [8465] left_convergent_lines(skolem_N7979, reverse_line(M38_267_8))
% 147.15/22.43
% 147.15/22.43 [8465] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8528] ~(left_apart_point(A39_513_9, L40_513_9) | left_apart_point(A39_513_9, reverse_line(L40_513_9)))
% 147.15/22.43
% 147.15/22.43 [8528] ALPHA_NOT_OR : ~(left_apart_point(A39_513_9, L40_513_9) | left_apart_point(A39_513_9, reverse_line(L40_513_9)))
% 147.15/22.43 -> [8531] ~left_apart_point(A39_513_9, L40_513_9), ~left_apart_point(A39_513_9, reverse_line(L40_513_9))
% 147.15/22.43
% 147.15/22.43 [8531] CLOSURE : ~left_apart_point(A39_513_9, L40_513_9)
% 147.15/22.43
% 147.15/22.43 [8464] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.43 -> [8566] ~(left_apart_point(A39_519_9, L40_519_9) | left_apart_point(A39_519_9, reverse_line(L40_519_9)))
% 147.15/22.43
% 147.15/22.43 [8566] ALPHA_NOT_OR : ~(left_apart_point(A39_519_9, L40_519_9) | left_apart_point(A39_519_9, reverse_line(L40_519_9)))
% 147.15/22.43 -> [8568] ~left_apart_point(A39_519_9, L40_519_9), ~left_apart_point(A39_519_9, reverse_line(L40_519_9))
% 147.15/22.43
% 147.15/22.43 [8568] CLOSURE : ~left_apart_point(A39_519_9, L40_519_9)
% 147.15/22.43
% 147.15/22.43 [8461] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_267_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_267_8)))
% 147.15/22.43 -> [8486] ~unequally_directed_lines(skolem_N7979, M38_267_8)
% 147.15/22.43 -> [8487] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_267_8))
% 147.15/22.43
% 147.15/22.43 [8487] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_267_8))
% 147.15/22.43
% 147.15/22.43 [8486] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_267_8)
% 147.15/22.43
% 147.15/22.43 [8400] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.43 -> [8404] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.43 -> [8405] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.43
% 147.15/22.43 [8404] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [8405] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [8440] ((unequally_directed_lines(skolem_N7979, M38_265_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_265_8))) => (left_convergent_lines(skolem_N7979, M38_265_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_265_8))))
% 147.15/22.44
% 147.15/22.44 [8440] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_265_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_265_8))) => (left_convergent_lines(skolem_N7979, M38_265_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_265_8))))
% 147.15/22.44 -> [8442] ~(unequally_directed_lines(skolem_N7979, M38_265_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_265_8)))
% 147.15/22.44 -> [8443] (left_convergent_lines(skolem_N7979, M38_265_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_265_8)))
% 147.15/22.44
% 147.15/22.44 [8443] BETA_OR : (left_convergent_lines(skolem_N7979, M38_265_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_265_8)))
% 147.15/22.44 -> [8444] left_convergent_lines(skolem_N7979, M38_265_8)
% 147.15/22.44 -> [8445] left_convergent_lines(skolem_N7979, reverse_line(M38_265_8))
% 147.15/22.44
% 147.15/22.44 [8445] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8511] ~(left_apart_point(A39_509_9, L40_509_9) | left_apart_point(A39_509_9, reverse_line(L40_509_9)))
% 147.15/22.44
% 147.15/22.44 [8511] ALPHA_NOT_OR : ~(left_apart_point(A39_509_9, L40_509_9) | left_apart_point(A39_509_9, reverse_line(L40_509_9)))
% 147.15/22.44 -> [8513] ~left_apart_point(A39_509_9, L40_509_9), ~left_apart_point(A39_509_9, reverse_line(L40_509_9))
% 147.15/22.44
% 147.15/22.44 [8513] CLOSURE : ~left_apart_point(A39_509_9, L40_509_9)
% 147.15/22.44
% 147.15/22.44 [8444] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8536] ~(left_apart_point(A39_514_9, L40_514_9) | left_apart_point(A39_514_9, reverse_line(L40_514_9)))
% 147.15/22.44
% 147.15/22.44 [8536] ALPHA_NOT_OR : ~(left_apart_point(A39_514_9, L40_514_9) | left_apart_point(A39_514_9, reverse_line(L40_514_9)))
% 147.15/22.44 -> [8537] ~left_apart_point(A39_514_9, L40_514_9), ~left_apart_point(A39_514_9, reverse_line(L40_514_9))
% 147.15/22.44
% 147.15/22.44 [8537] CLOSURE : ~left_apart_point(A39_514_9, L40_514_9)
% 147.15/22.44
% 147.15/22.44 [8442] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_265_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_265_8)))
% 147.15/22.44 -> [8471] ~unequally_directed_lines(skolem_N7979, M38_265_8)
% 147.15/22.44 -> [8472] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_265_8))
% 147.15/22.44
% 147.15/22.44 [8472] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_265_8))
% 147.15/22.44
% 147.15/22.44 [8471] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_265_8)
% 147.15/22.44
% 147.15/22.44 [860] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44 -> [862] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [862] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.44 -> [866] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.44 -> [867] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [866] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44 -> [929] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.44 -> [930] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [929] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [985] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [985] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [1608] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.44
% 147.15/22.44 [1608] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.44 -> [1611] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [1612] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.44
% 147.15/22.44 [1611] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1612] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.44 -> [1885] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [1886] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1886] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1885] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [2286] ~distinct_lines(L25_58_3, L25_58_3)
% 147.15/22.44
% 147.15/22.44 [2286] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [2346] (distinct_lines(L25_58_3, L25_58_3) => (distinct_lines(L25_58_3, L25_58_3) | distinct_lines(L25_58_3, L25_58_3)))
% 147.15/22.44
% 147.15/22.44 [2346] BETA_IMPLY : (distinct_lines(L25_58_3, L25_58_3) => (distinct_lines(L25_58_3, L25_58_3) | distinct_lines(L25_58_3, L25_58_3)))
% 147.15/22.44 -> [2347] ~distinct_lines(L25_58_3, L25_58_3)
% 147.15/22.44 -> [2348] (distinct_lines(L25_58_3, L25_58_3) | distinct_lines(L25_58_3, L25_58_3))
% 147.15/22.44
% 147.15/22.44 [2348] BETA_OR : (distinct_lines(L25_58_3, L25_58_3) | distinct_lines(L25_58_3, L25_58_3))
% 147.15/22.44 -> [2398] distinct_lines(L25_58_3, L25_58_3)
% 147.15/22.44 -> [2399] distinct_lines(L25_58_3, L25_58_3)
% 147.15/22.44
% 147.15/22.44 [2399] CLOSURE : distinct_lines(L25_58_3, L25_58_3)
% 147.15/22.44
% 147.15/22.44 [2398] CLOSURE : distinct_lines(L25_58_3, L25_58_3)
% 147.15/22.44
% 147.15/22.44 [2347] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [2835] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [2835] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [2867] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [2867] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.44 -> [2871] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44 -> [2872] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [2871] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [2872] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.44 -> [3415] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [3416] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [3415] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [3416] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [3522] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44
% 147.15/22.44 [3522] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44 -> [3523] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [3524] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [3523] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [3532] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [3533] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [3533] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [3532] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [3524] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [5026] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [5027] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [5026] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [5082] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [5082] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [5027] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [5028] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [5028] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [5211] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [5211] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [5214] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [5215] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [5214] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [5270] ~line(skolem_M7878)
% 147.15/22.44 -> [5271] ~line(skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [5270] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [5494] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [5494] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44 -> [5498] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [5499] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [5498] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [5708] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [5709] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [5709] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [5708] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [5499] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [5674] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [5675] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [5674] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5870] ~(left_apart_point(A39_206_9, L40_206_9) | left_apart_point(A39_206_9, reverse_line(L40_206_9)))
% 147.15/22.44
% 147.15/22.44 [5870] ALPHA_NOT_OR : ~(left_apart_point(A39_206_9, L40_206_9) | left_apart_point(A39_206_9, reverse_line(L40_206_9)))
% 147.15/22.44 -> [5873] ~left_apart_point(A39_206_9, L40_206_9), ~left_apart_point(A39_206_9, reverse_line(L40_206_9))
% 147.15/22.44
% 147.15/22.44 [5873] CLOSURE : ~left_apart_point(A39_206_9, L40_206_9)
% 147.15/22.44
% 147.15/22.44 [5675] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5990] ~(left_apart_point(A39_221_9, L40_221_9) | left_apart_point(A39_221_9, reverse_line(L40_221_9)))
% 147.15/22.44
% 147.15/22.44 [5990] ALPHA_NOT_OR : ~(left_apart_point(A39_221_9, L40_221_9) | left_apart_point(A39_221_9, reverse_line(L40_221_9)))
% 147.15/22.44 -> [5992] ~left_apart_point(A39_221_9, L40_221_9), ~left_apart_point(A39_221_9, reverse_line(L40_221_9))
% 147.15/22.44
% 147.15/22.44 [5992] CLOSURE : ~left_apart_point(A39_221_9, L40_221_9)
% 147.15/22.44
% 147.15/22.44 [5271] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [5441] ((unequally_directed_lines(skolem_N7979, M38_90_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_90_8))) => (left_convergent_lines(skolem_N7979, M38_90_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_90_8))))
% 147.15/22.44
% 147.15/22.44 [5441] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_90_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_90_8))) => (left_convergent_lines(skolem_N7979, M38_90_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_90_8))))
% 147.15/22.44 -> [5442] ~(unequally_directed_lines(skolem_N7979, M38_90_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_90_8)))
% 147.15/22.44 -> [5443] (left_convergent_lines(skolem_N7979, M38_90_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_90_8)))
% 147.15/22.44
% 147.15/22.44 [5443] BETA_OR : (left_convergent_lines(skolem_N7979, M38_90_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_90_8)))
% 147.15/22.44 -> [5444] left_convergent_lines(skolem_N7979, M38_90_8)
% 147.15/22.44 -> [5445] left_convergent_lines(skolem_N7979, reverse_line(M38_90_8))
% 147.15/22.44
% 147.15/22.44 [5444] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5897] ~(left_apart_point(A39_210_9, L40_210_9) | left_apart_point(A39_210_9, reverse_line(L40_210_9)))
% 147.15/22.44
% 147.15/22.44 [5897] ALPHA_NOT_OR : ~(left_apart_point(A39_210_9, L40_210_9) | left_apart_point(A39_210_9, reverse_line(L40_210_9)))
% 147.15/22.44 -> [5900] ~left_apart_point(A39_210_9, L40_210_9), ~left_apart_point(A39_210_9, reverse_line(L40_210_9))
% 147.15/22.44
% 147.15/22.44 [5900] CLOSURE : ~left_apart_point(A39_210_9, L40_210_9)
% 147.15/22.44
% 147.15/22.44 [5445] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5999] ~(left_apart_point(A39_222_9, L40_222_9) | left_apart_point(A39_222_9, reverse_line(L40_222_9)))
% 147.15/22.44
% 147.15/22.44 [5999] ALPHA_NOT_OR : ~(left_apart_point(A39_222_9, L40_222_9) | left_apart_point(A39_222_9, reverse_line(L40_222_9)))
% 147.15/22.44 -> [6001] ~left_apart_point(A39_222_9, L40_222_9), ~left_apart_point(A39_222_9, reverse_line(L40_222_9))
% 147.15/22.44
% 147.15/22.44 [6001] CLOSURE : ~left_apart_point(A39_222_9, L40_222_9)
% 147.15/22.44
% 147.15/22.44 [5442] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_90_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_90_8)))
% 147.15/22.44 -> [5733] ~unequally_directed_lines(skolem_N7979, M38_90_8)
% 147.15/22.44 -> [5734] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_90_8))
% 147.15/22.44
% 147.15/22.44 [5734] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_90_8))
% 147.15/22.44
% 147.15/22.44 [5733] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_90_8)
% 147.15/22.44
% 147.15/22.44 [5215] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [5219] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [5220] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [5219] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [5220] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [5448] ((unequally_directed_lines(skolem_N7979, M38_91_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_91_8))) => (left_convergent_lines(skolem_N7979, M38_91_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_91_8))))
% 147.15/22.44
% 147.15/22.44 [5448] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_91_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_91_8))) => (left_convergent_lines(skolem_N7979, M38_91_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_91_8))))
% 147.15/22.44 -> [5449] ~(unequally_directed_lines(skolem_N7979, M38_91_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_91_8)))
% 147.15/22.44 -> [5450] (left_convergent_lines(skolem_N7979, M38_91_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_91_8)))
% 147.15/22.44
% 147.15/22.44 [5450] BETA_OR : (left_convergent_lines(skolem_N7979, M38_91_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_91_8)))
% 147.15/22.44 -> [5453] left_convergent_lines(skolem_N7979, M38_91_8)
% 147.15/22.44 -> [5454] left_convergent_lines(skolem_N7979, reverse_line(M38_91_8))
% 147.15/22.44
% 147.15/22.44 [5454] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5845] ~(left_apart_point(A39_203_9, L40_203_9) | left_apart_point(A39_203_9, reverse_line(L40_203_9)))
% 147.15/22.44
% 147.15/22.44 [5845] ALPHA_NOT_OR : ~(left_apart_point(A39_203_9, L40_203_9) | left_apart_point(A39_203_9, reverse_line(L40_203_9)))
% 147.15/22.44 -> [5848] ~left_apart_point(A39_203_9, L40_203_9), ~left_apart_point(A39_203_9, reverse_line(L40_203_9))
% 147.15/22.44
% 147.15/22.44 [5848] CLOSURE : ~left_apart_point(A39_203_9, L40_203_9)
% 147.15/22.44
% 147.15/22.44 [5453] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6033] ~(left_apart_point(A39_227_9, L40_227_9) | left_apart_point(A39_227_9, reverse_line(L40_227_9)))
% 147.15/22.44
% 147.15/22.44 [6033] ALPHA_NOT_OR : ~(left_apart_point(A39_227_9, L40_227_9) | left_apart_point(A39_227_9, reverse_line(L40_227_9)))
% 147.15/22.44 -> [6034] ~left_apart_point(A39_227_9, L40_227_9), ~left_apart_point(A39_227_9, reverse_line(L40_227_9))
% 147.15/22.44
% 147.15/22.44 [6034] CLOSURE : ~left_apart_point(A39_227_9, L40_227_9)
% 147.15/22.44
% 147.15/22.44 [5449] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_91_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_91_8)))
% 147.15/22.44 -> [5856] ~unequally_directed_lines(skolem_N7979, M38_91_8)
% 147.15/22.44 -> [5857] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_91_8))
% 147.15/22.44
% 147.15/22.44 [5857] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_91_8))
% 147.15/22.44
% 147.15/22.44 [5856] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_91_8)
% 147.15/22.44
% 147.15/22.44 [930] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [989] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [989] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [1032] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [1032] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44 -> [1033] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [1034] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [1033] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1034] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44 -> [1597] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44 -> [1598] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1597] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1598] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [1698] ~distinct_lines(N27_17_3, N27_17_3)
% 147.15/22.44
% 147.15/22.44 [1698] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [1719] (distinct_lines(N27_17_3, N27_17_3) => (distinct_lines(N27_17_3, N27_17_3) | distinct_lines(N27_17_3, N27_17_3)))
% 147.15/22.44
% 147.15/22.44 [1719] BETA_IMPLY : (distinct_lines(N27_17_3, N27_17_3) => (distinct_lines(N27_17_3, N27_17_3) | distinct_lines(N27_17_3, N27_17_3)))
% 147.15/22.44 -> [1721] ~distinct_lines(N27_17_3, N27_17_3)
% 147.15/22.44 -> [1722] (distinct_lines(N27_17_3, N27_17_3) | distinct_lines(N27_17_3, N27_17_3))
% 147.15/22.44
% 147.15/22.44 [1722] BETA_OR : (distinct_lines(N27_17_3, N27_17_3) | distinct_lines(N27_17_3, N27_17_3))
% 147.15/22.44 -> [1728] distinct_lines(N27_17_3, N27_17_3)
% 147.15/22.44 -> [1729] distinct_lines(N27_17_3, N27_17_3)
% 147.15/22.44
% 147.15/22.44 [1728] CLOSURE : distinct_lines(N27_17_3, N27_17_3)
% 147.15/22.44
% 147.15/22.44 [1729] CLOSURE : distinct_lines(N27_17_3, N27_17_3)
% 147.15/22.44
% 147.15/22.44 [1721] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [1751] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [1751] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [1763] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [1763] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.44 -> [1764] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44 -> [1765] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [1764] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [1765] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.44 -> [3509] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [3510] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [3509] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [3510] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [4516] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44
% 147.15/22.44 [4516] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44 -> [4519] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [4520] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [4519] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [4533] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [4534] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [4534] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [4533] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [4520] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [5579] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [5580] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [5579] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [5589] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [5589] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [5580] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [5585] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [5585] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [5598] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [5598] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [5599] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [5600] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [5600] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [5603] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [5604] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [5603] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [5604] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [5740] ((unequally_directed_lines(skolem_N7979, M38_109_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_109_8))) => (left_convergent_lines(skolem_N7979, M38_109_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_109_8))))
% 147.15/22.44
% 147.15/22.44 [5740] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_109_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_109_8))) => (left_convergent_lines(skolem_N7979, M38_109_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_109_8))))
% 147.15/22.44 -> [5745] ~(unequally_directed_lines(skolem_N7979, M38_109_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_109_8)))
% 147.15/22.44 -> [5746] (left_convergent_lines(skolem_N7979, M38_109_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_109_8)))
% 147.15/22.44
% 147.15/22.44 [5746] BETA_OR : (left_convergent_lines(skolem_N7979, M38_109_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_109_8)))
% 147.15/22.44 -> [5752] left_convergent_lines(skolem_N7979, M38_109_8)
% 147.15/22.44 -> [5753] left_convergent_lines(skolem_N7979, reverse_line(M38_109_8))
% 147.15/22.44
% 147.15/22.44 [5753] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5829] ~(left_apart_point(A39_200_9, L40_200_9) | left_apart_point(A39_200_9, reverse_line(L40_200_9)))
% 147.15/22.44
% 147.15/22.44 [5829] ALPHA_NOT_OR : ~(left_apart_point(A39_200_9, L40_200_9) | left_apart_point(A39_200_9, reverse_line(L40_200_9)))
% 147.15/22.44 -> [5858] ~left_apart_point(A39_200_9, L40_200_9), ~left_apart_point(A39_200_9, reverse_line(L40_200_9))
% 147.15/22.44
% 147.15/22.44 [5858] CLOSURE : ~left_apart_point(A39_200_9, L40_200_9)
% 147.15/22.44
% 147.15/22.44 [5752] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5923] ~(left_apart_point(A39_211_9, L40_211_9) | left_apart_point(A39_211_9, reverse_line(L40_211_9)))
% 147.15/22.44
% 147.15/22.44 [5923] ALPHA_NOT_OR : ~(left_apart_point(A39_211_9, L40_211_9) | left_apart_point(A39_211_9, reverse_line(L40_211_9)))
% 147.15/22.44 -> [5928] ~left_apart_point(A39_211_9, L40_211_9), ~left_apart_point(A39_211_9, reverse_line(L40_211_9))
% 147.15/22.44
% 147.15/22.44 [5928] CLOSURE : ~left_apart_point(A39_211_9, L40_211_9)
% 147.15/22.44
% 147.15/22.44 [5745] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_109_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_109_8)))
% 147.15/22.44 -> [5797] ~unequally_directed_lines(skolem_N7979, M38_109_8)
% 147.15/22.44 -> [5798] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_109_8))
% 147.15/22.44
% 147.15/22.44 [5798] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_109_8))
% 147.15/22.44
% 147.15/22.44 [5797] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_109_8)
% 147.15/22.44
% 147.15/22.44 [5599] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [5610] ~line(skolem_M7878)
% 147.15/22.44 -> [5611] ~line(skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [5610] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [5651] ((unequally_directed_lines(skolem_N7979, M38_105_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_105_8))) => (left_convergent_lines(skolem_N7979, M38_105_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_105_8))))
% 147.15/22.44
% 147.15/22.44 [5651] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_105_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_105_8))) => (left_convergent_lines(skolem_N7979, M38_105_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_105_8))))
% 147.15/22.44 -> [5652] ~(unequally_directed_lines(skolem_N7979, M38_105_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_105_8)))
% 147.15/22.44 -> [5653] (left_convergent_lines(skolem_N7979, M38_105_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_105_8)))
% 147.15/22.44
% 147.15/22.44 [5652] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_105_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_105_8)))
% 147.15/22.44 -> [5656] ~unequally_directed_lines(skolem_N7979, M38_105_8)
% 147.15/22.44 -> [5657] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_105_8))
% 147.15/22.44
% 147.15/22.44 [5657] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_105_8))
% 147.15/22.44
% 147.15/22.44 [5656] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_105_8)
% 147.15/22.44
% 147.15/22.44 [5653] BETA_OR : (left_convergent_lines(skolem_N7979, M38_105_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_105_8)))
% 147.15/22.44 -> [5654] left_convergent_lines(skolem_N7979, M38_105_8)
% 147.15/22.44 -> [5655] left_convergent_lines(skolem_N7979, reverse_line(M38_105_8))
% 147.15/22.44
% 147.15/22.44 [5655] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5684] ~(left_apart_point(A39_191_9, L40_191_9) | left_apart_point(A39_191_9, reverse_line(L40_191_9)))
% 147.15/22.44
% 147.15/22.44 [5684] ALPHA_NOT_OR : ~(left_apart_point(A39_191_9, L40_191_9) | left_apart_point(A39_191_9, reverse_line(L40_191_9)))
% 147.15/22.44 -> [5686] ~left_apart_point(A39_191_9, L40_191_9), ~left_apart_point(A39_191_9, reverse_line(L40_191_9))
% 147.15/22.44
% 147.15/22.44 [5686] CLOSURE : ~left_apart_point(A39_191_9, L40_191_9)
% 147.15/22.44
% 147.15/22.44 [5654] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5690] ~(left_apart_point(A39_192_9, L40_192_9) | left_apart_point(A39_192_9, reverse_line(L40_192_9)))
% 147.15/22.44
% 147.15/22.44 [5690] ALPHA_NOT_OR : ~(left_apart_point(A39_192_9, L40_192_9) | left_apart_point(A39_192_9, reverse_line(L40_192_9)))
% 147.15/22.44 -> [5691] ~left_apart_point(A39_192_9, L40_192_9), ~left_apart_point(A39_192_9, reverse_line(L40_192_9))
% 147.15/22.44
% 147.15/22.44 [5691] CLOSURE : ~left_apart_point(A39_192_9, L40_192_9)
% 147.15/22.44
% 147.15/22.44 [5611] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [5846] ((unequally_directed_lines(skolem_N7979, M38_113_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_113_8))) => (left_convergent_lines(skolem_N7979, M38_113_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_113_8))))
% 147.15/22.44
% 147.15/22.44 [5846] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_113_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_113_8))) => (left_convergent_lines(skolem_N7979, M38_113_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_113_8))))
% 147.15/22.44 -> [5850] ~(unequally_directed_lines(skolem_N7979, M38_113_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_113_8)))
% 147.15/22.44 -> [5851] (left_convergent_lines(skolem_N7979, M38_113_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_113_8)))
% 147.15/22.44
% 147.15/22.44 [5850] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_113_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_113_8)))
% 147.15/22.44 -> [5904] ~unequally_directed_lines(skolem_N7979, M38_113_8)
% 147.15/22.44 -> [5905] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_113_8))
% 147.15/22.44
% 147.15/22.44 [5905] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_113_8))
% 147.15/22.44
% 147.15/22.44 [5904] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_113_8)
% 147.15/22.44
% 147.15/22.44 [5851] BETA_OR : (left_convergent_lines(skolem_N7979, M38_113_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_113_8)))
% 147.15/22.44 -> [5852] left_convergent_lines(skolem_N7979, M38_113_8)
% 147.15/22.44 -> [5853] left_convergent_lines(skolem_N7979, reverse_line(M38_113_8))
% 147.15/22.44
% 147.15/22.44 [5853] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5982] ~(left_apart_point(A39_219_9, L40_219_9) | left_apart_point(A39_219_9, reverse_line(L40_219_9)))
% 147.15/22.44
% 147.15/22.44 [5982] ALPHA_NOT_OR : ~(left_apart_point(A39_219_9, L40_219_9) | left_apart_point(A39_219_9, reverse_line(L40_219_9)))
% 147.15/22.44 -> [5986] ~left_apart_point(A39_219_9, L40_219_9), ~left_apart_point(A39_219_9, reverse_line(L40_219_9))
% 147.15/22.44
% 147.15/22.44 [5986] CLOSURE : ~left_apart_point(A39_219_9, L40_219_9)
% 147.15/22.44
% 147.15/22.44 [5852] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6174] ~(left_apart_point(A39_236_9, L40_236_9) | left_apart_point(A39_236_9, reverse_line(L40_236_9)))
% 147.15/22.44
% 147.15/22.44 [6174] ALPHA_NOT_OR : ~(left_apart_point(A39_236_9, L40_236_9) | left_apart_point(A39_236_9, reverse_line(L40_236_9)))
% 147.15/22.44 -> [6176] ~left_apart_point(A39_236_9, L40_236_9), ~left_apart_point(A39_236_9, reverse_line(L40_236_9))
% 147.15/22.44
% 147.15/22.44 [6176] CLOSURE : ~left_apart_point(A39_236_9, L40_236_9)
% 147.15/22.44
% 147.15/22.44 [867] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44 -> [926] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.44 -> [927] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [926] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [1396] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1396] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [1454] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.44
% 147.15/22.44 [1454] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.44 -> [1456] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [1457] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.44
% 147.15/22.44 [1456] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1457] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.44 -> [1682] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [1683] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1683] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1682] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [2046] ~distinct_lines(N27_41_3, N27_41_3)
% 147.15/22.44
% 147.15/22.44 [2046] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [2082] (distinct_lines(N27_41_3, N27_41_3) => (distinct_lines(N27_41_3, N27_41_3) | distinct_lines(N27_41_3, N27_41_3)))
% 147.15/22.44
% 147.15/22.44 [2082] BETA_IMPLY : (distinct_lines(N27_41_3, N27_41_3) => (distinct_lines(N27_41_3, N27_41_3) | distinct_lines(N27_41_3, N27_41_3)))
% 147.15/22.44 -> [2085] ~distinct_lines(N27_41_3, N27_41_3)
% 147.15/22.44 -> [2086] (distinct_lines(N27_41_3, N27_41_3) | distinct_lines(N27_41_3, N27_41_3))
% 147.15/22.44
% 147.15/22.44 [2086] BETA_OR : (distinct_lines(N27_41_3, N27_41_3) | distinct_lines(N27_41_3, N27_41_3))
% 147.15/22.44 -> [2090] distinct_lines(N27_41_3, N27_41_3)
% 147.15/22.44 -> [2091] distinct_lines(N27_41_3, N27_41_3)
% 147.15/22.44
% 147.15/22.44 [2091] CLOSURE : distinct_lines(N27_41_3, N27_41_3)
% 147.15/22.44
% 147.15/22.44 [2090] CLOSURE : distinct_lines(N27_41_3, N27_41_3)
% 147.15/22.44
% 147.15/22.44 [2085] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [2151] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [2151] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [2247] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [2247] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.44 -> [2248] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44 -> [2249] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [2248] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [2249] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.44 -> [2507] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44 -> [2508] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [2508] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [2507] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [2710] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_6_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_6_6))) | (unequally_directed_lines(skolem_N7979, N34_6_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_6_6)))))
% 147.15/22.44
% 147.15/22.44 [2710] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_6_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_6_6))) | (unequally_directed_lines(skolem_N7979, N34_6_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_6_6)))))
% 147.15/22.44 -> [2715] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [2716] ((unequally_directed_lines(skolem_M7878, N34_6_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_6_6))) | (unequally_directed_lines(skolem_N7979, N34_6_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_6_6))))
% 147.15/22.44
% 147.15/22.44 [2715] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [2746] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [2747] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [2747] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [2746] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [2716] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_6_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_6_6))) | (unequally_directed_lines(skolem_N7979, N34_6_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_6_6))))
% 147.15/22.44 -> [3737] (unequally_directed_lines(skolem_M7878, N34_6_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_6_6)))
% 147.15/22.44 -> [3738] (unequally_directed_lines(skolem_N7979, N34_6_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_6_6)))
% 147.15/22.44
% 147.15/22.44 [3738] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_6_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_6_6)))
% 147.15/22.44 -> [3740] unequally_directed_lines(skolem_N7979, N34_6_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_6_6))
% 147.15/22.44
% 147.15/22.44 [3740] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [3778] ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.15/22.44
% 147.15/22.44 [3778] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))))
% 147.15/22.44 -> [3780] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.44 -> [3781] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.44
% 147.15/22.44 [3780] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.44 -> [3812] ~line(skolem_L7777)
% 147.15/22.44 -> [3813] ~line(line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.44
% 147.15/22.44 [3813] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [3851] ((unequally_directed_lines(skolem_N7979, M38_27_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_27_8))) => (left_convergent_lines(skolem_N7979, M38_27_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_27_8))))
% 147.15/22.44
% 147.15/22.44 [3851] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_27_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_27_8))) => (left_convergent_lines(skolem_N7979, M38_27_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_27_8))))
% 147.15/22.44 -> [3852] ~(unequally_directed_lines(skolem_N7979, M38_27_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_27_8)))
% 147.15/22.44 -> [3853] (left_convergent_lines(skolem_N7979, M38_27_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_27_8)))
% 147.15/22.44
% 147.15/22.44 [3852] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_27_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_27_8)))
% 147.15/22.44 -> [3880] ~unequally_directed_lines(skolem_N7979, M38_27_8)
% 147.15/22.44 -> [3881] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_27_8))
% 147.15/22.44
% 147.15/22.44 [3881] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_27_8))
% 147.15/22.44
% 147.15/22.44 [3880] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_27_8)
% 147.15/22.44
% 147.15/22.44 [3853] BETA_OR : (left_convergent_lines(skolem_N7979, M38_27_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_27_8)))
% 147.15/22.44 -> [3859] left_convergent_lines(skolem_N7979, M38_27_8)
% 147.15/22.44 -> [3860] left_convergent_lines(skolem_N7979, reverse_line(M38_27_8))
% 147.15/22.44
% 147.15/22.44 [3860] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [3904] ~(left_apart_point(A39_42_9, L40_42_9) | left_apart_point(A39_42_9, reverse_line(L40_42_9)))
% 147.15/22.44
% 147.15/22.44 [3904] ALPHA_NOT_OR : ~(left_apart_point(A39_42_9, L40_42_9) | left_apart_point(A39_42_9, reverse_line(L40_42_9)))
% 147.15/22.44 -> [3911] ~left_apart_point(A39_42_9, L40_42_9), ~left_apart_point(A39_42_9, reverse_line(L40_42_9))
% 147.15/22.44
% 147.15/22.44 [3911] CLOSURE : ~left_apart_point(A39_42_9, L40_42_9)
% 147.15/22.44
% 147.15/22.44 [3859] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [3928] ~(left_apart_point(A39_44_9, L40_44_9) | left_apart_point(A39_44_9, reverse_line(L40_44_9)))
% 147.15/22.44
% 147.15/22.44 [3928] ALPHA_NOT_OR : ~(left_apart_point(A39_44_9, L40_44_9) | left_apart_point(A39_44_9, reverse_line(L40_44_9)))
% 147.15/22.44 -> [3929] ~left_apart_point(A39_44_9, L40_44_9), ~left_apart_point(A39_44_9, reverse_line(L40_44_9))
% 147.15/22.44
% 147.15/22.44 [3929] CLOSURE : ~left_apart_point(A39_44_9, L40_44_9)
% 147.15/22.44
% 147.15/22.44 [3812] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [4239] ((unequally_directed_lines(skolem_N7979, M38_39_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_39_8))) => (left_convergent_lines(skolem_N7979, M38_39_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_39_8))))
% 147.15/22.44
% 147.15/22.44 [4239] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_39_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_39_8))) => (left_convergent_lines(skolem_N7979, M38_39_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_39_8))))
% 147.15/22.44 -> [4240] ~(unequally_directed_lines(skolem_N7979, M38_39_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_39_8)))
% 147.15/22.44 -> [4241] (left_convergent_lines(skolem_N7979, M38_39_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_39_8)))
% 147.15/22.44
% 147.15/22.44 [4240] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_39_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_39_8)))
% 147.15/22.44 -> [4276] ~unequally_directed_lines(skolem_N7979, M38_39_8)
% 147.15/22.44 -> [4277] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_39_8))
% 147.15/22.44
% 147.15/22.44 [4277] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_39_8))
% 147.15/22.44
% 147.15/22.44 [4276] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_39_8)
% 147.15/22.44
% 147.15/22.44 [4241] BETA_OR : (left_convergent_lines(skolem_N7979, M38_39_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_39_8)))
% 147.15/22.44 -> [4242] left_convergent_lines(skolem_N7979, M38_39_8)
% 147.15/22.44 -> [4243] left_convergent_lines(skolem_N7979, reverse_line(M38_39_8))
% 147.15/22.44
% 147.15/22.44 [4243] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [4320] ~(left_apart_point(A39_70_9, L40_70_9) | left_apart_point(A39_70_9, reverse_line(L40_70_9)))
% 147.15/22.44
% 147.15/22.44 [4320] ALPHA_NOT_OR : ~(left_apart_point(A39_70_9, L40_70_9) | left_apart_point(A39_70_9, reverse_line(L40_70_9)))
% 147.15/22.44 -> [4321] ~left_apart_point(A39_70_9, L40_70_9), ~left_apart_point(A39_70_9, reverse_line(L40_70_9))
% 147.15/22.44
% 147.15/22.44 [4321] CLOSURE : ~left_apart_point(A39_70_9, L40_70_9)
% 147.15/22.44
% 147.15/22.44 [4242] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [4332] ~(left_apart_point(A39_71_9, L40_71_9) | left_apart_point(A39_71_9, reverse_line(L40_71_9)))
% 147.15/22.44
% 147.15/22.44 [4332] ALPHA_NOT_OR : ~(left_apart_point(A39_71_9, L40_71_9) | left_apart_point(A39_71_9, reverse_line(L40_71_9)))
% 147.15/22.44 -> [4335] ~left_apart_point(A39_71_9, L40_71_9), ~left_apart_point(A39_71_9, reverse_line(L40_71_9))
% 147.15/22.44
% 147.15/22.44 [4335] CLOSURE : ~left_apart_point(A39_71_9, L40_71_9)
% 147.15/22.44
% 147.15/22.44 [3781] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.44 -> [3789] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.44 -> [3790] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.44
% 147.15/22.44 [3789] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.44
% 147.15/22.44 [3790] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [4713] ((unequally_directed_lines(skolem_N7979, M38_54_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_54_8))) => (left_convergent_lines(skolem_N7979, M38_54_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_54_8))))
% 147.15/22.44
% 147.15/22.44 [4713] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_54_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_54_8))) => (left_convergent_lines(skolem_N7979, M38_54_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_54_8))))
% 147.15/22.44 -> [4714] ~(unequally_directed_lines(skolem_N7979, M38_54_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_54_8)))
% 147.15/22.44 -> [4715] (left_convergent_lines(skolem_N7979, M38_54_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_54_8)))
% 147.15/22.44
% 147.15/22.44 [4714] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_54_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_54_8)))
% 147.15/22.44 -> [4727] ~unequally_directed_lines(skolem_N7979, M38_54_8)
% 147.15/22.44 -> [4728] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_54_8))
% 147.15/22.44
% 147.15/22.44 [4728] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_54_8))
% 147.15/22.44
% 147.15/22.44 [4727] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_54_8)
% 147.15/22.44
% 147.15/22.44 [4715] BETA_OR : (left_convergent_lines(skolem_N7979, M38_54_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_54_8)))
% 147.15/22.44 -> [4716] left_convergent_lines(skolem_N7979, M38_54_8)
% 147.15/22.44 -> [4717] left_convergent_lines(skolem_N7979, reverse_line(M38_54_8))
% 147.15/22.44
% 147.15/22.44 [4716] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [4791] ~(left_apart_point(A39_104_9, L40_104_9) | left_apart_point(A39_104_9, reverse_line(L40_104_9)))
% 147.15/22.44
% 147.15/22.44 [4791] ALPHA_NOT_OR : ~(left_apart_point(A39_104_9, L40_104_9) | left_apart_point(A39_104_9, reverse_line(L40_104_9)))
% 147.15/22.44 -> [4793] ~left_apart_point(A39_104_9, L40_104_9), ~left_apart_point(A39_104_9, reverse_line(L40_104_9))
% 147.15/22.44
% 147.15/22.44 [4793] CLOSURE : ~left_apart_point(A39_104_9, L40_104_9)
% 147.15/22.44
% 147.15/22.44 [4717] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [4998] ~(left_apart_point(A39_115_9, L40_115_9) | left_apart_point(A39_115_9, reverse_line(L40_115_9)))
% 147.15/22.44
% 147.15/22.44 [4998] ALPHA_NOT_OR : ~(left_apart_point(A39_115_9, L40_115_9) | left_apart_point(A39_115_9, reverse_line(L40_115_9)))
% 147.15/22.44 -> [5000] ~left_apart_point(A39_115_9, L40_115_9), ~left_apart_point(A39_115_9, reverse_line(L40_115_9))
% 147.15/22.44
% 147.15/22.44 [5000] CLOSURE : ~left_apart_point(A39_115_9, L40_115_9)
% 147.15/22.44
% 147.15/22.44 [3737] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_6_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_6_6)))
% 147.15/22.44 -> [3743] unequally_directed_lines(skolem_M7878, N34_6_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_6_6))
% 147.15/22.44
% 147.15/22.44 [3743] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [3805] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [3805] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.44 -> [3806] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.44 -> [3807] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [3806] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.44 -> [3829] ~line(reverse_line(skolem_N7979))
% 147.15/22.44 -> [3830] ~line(skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [3829] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [4113] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [4113] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [4114] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [4115] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [4114] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [4154] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [4155] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [4154] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [4155] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [4115] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [4121] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [4122] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [4122] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [4294] ~(left_apart_point(A39_67_9, L40_67_9) | left_apart_point(A39_67_9, reverse_line(L40_67_9)))
% 147.15/22.44
% 147.15/22.44 [4294] ALPHA_NOT_OR : ~(left_apart_point(A39_67_9, L40_67_9) | left_apart_point(A39_67_9, reverse_line(L40_67_9)))
% 147.15/22.44 -> [4297] ~left_apart_point(A39_67_9, L40_67_9), ~left_apart_point(A39_67_9, reverse_line(L40_67_9))
% 147.15/22.44
% 147.15/22.44 [4297] CLOSURE : ~left_apart_point(A39_67_9, L40_67_9)
% 147.15/22.44
% 147.15/22.44 [4121] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [4336] ~(left_apart_point(A39_72_9, L40_72_9) | left_apart_point(A39_72_9, reverse_line(L40_72_9)))
% 147.15/22.44
% 147.15/22.44 [4336] ALPHA_NOT_OR : ~(left_apart_point(A39_72_9, L40_72_9) | left_apart_point(A39_72_9, reverse_line(L40_72_9)))
% 147.15/22.44 -> [4337] ~left_apart_point(A39_72_9, L40_72_9), ~left_apart_point(A39_72_9, reverse_line(L40_72_9))
% 147.15/22.44
% 147.15/22.44 [4337] CLOSURE : ~left_apart_point(A39_72_9, L40_72_9)
% 147.15/22.44
% 147.15/22.44 [3830] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [4136] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [4136] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [4138] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [4139] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [4138] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [4161] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [4162] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [4162] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [4161] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [4139] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [4141] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [4142] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [4142] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [4292] ~(left_apart_point(A39_66_9, L40_66_9) | left_apart_point(A39_66_9, reverse_line(L40_66_9)))
% 147.15/22.44
% 147.15/22.44 [4292] ALPHA_NOT_OR : ~(left_apart_point(A39_66_9, L40_66_9) | left_apart_point(A39_66_9, reverse_line(L40_66_9)))
% 147.15/22.44 -> [4293] ~left_apart_point(A39_66_9, L40_66_9), ~left_apart_point(A39_66_9, reverse_line(L40_66_9))
% 147.15/22.44
% 147.15/22.44 [4293] CLOSURE : ~left_apart_point(A39_66_9, L40_66_9)
% 147.15/22.44
% 147.15/22.44 [4141] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [4400] ~(left_apart_point(A39_77_9, L40_77_9) | left_apart_point(A39_77_9, reverse_line(L40_77_9)))
% 147.15/22.44
% 147.15/22.44 [4400] ALPHA_NOT_OR : ~(left_apart_point(A39_77_9, L40_77_9) | left_apart_point(A39_77_9, reverse_line(L40_77_9)))
% 147.15/22.44 -> [4407] ~left_apart_point(A39_77_9, L40_77_9), ~left_apart_point(A39_77_9, reverse_line(L40_77_9))
% 147.15/22.44
% 147.15/22.44 [4407] CLOSURE : ~left_apart_point(A39_77_9, L40_77_9)
% 147.15/22.44
% 147.15/22.44 [3807] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.44 -> [3810] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.44 -> [3811] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [3811] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [3810] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [5098] ((unequally_directed_lines(skolem_M7878, M38_77_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_77_8))) => (left_convergent_lines(skolem_M7878, M38_77_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_77_8))))
% 147.15/22.44
% 147.15/22.44 [5098] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_77_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_77_8))) => (left_convergent_lines(skolem_M7878, M38_77_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_77_8))))
% 147.15/22.44 -> [5099] ~(unequally_directed_lines(skolem_M7878, M38_77_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_77_8)))
% 147.15/22.44 -> [5100] (left_convergent_lines(skolem_M7878, M38_77_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_77_8)))
% 147.15/22.44
% 147.15/22.44 [5099] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_77_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_77_8)))
% 147.15/22.44 -> [5135] ~unequally_directed_lines(skolem_M7878, M38_77_8)
% 147.15/22.44 -> [5136] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_77_8))
% 147.15/22.44
% 147.15/22.44 [5136] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_77_8))
% 147.15/22.44
% 147.15/22.44 [5135] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_77_8)
% 147.15/22.44
% 147.15/22.44 [5100] BETA_OR : (left_convergent_lines(skolem_M7878, M38_77_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_77_8)))
% 147.15/22.44 -> [5103] left_convergent_lines(skolem_M7878, M38_77_8)
% 147.15/22.44 -> [5104] left_convergent_lines(skolem_M7878, reverse_line(M38_77_8))
% 147.15/22.44
% 147.15/22.44 [5103] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5243] ~(left_apart_point(A39_155_9, L40_155_9) | left_apart_point(A39_155_9, reverse_line(L40_155_9)))
% 147.15/22.44
% 147.15/22.44 [5243] ALPHA_NOT_OR : ~(left_apart_point(A39_155_9, L40_155_9) | left_apart_point(A39_155_9, reverse_line(L40_155_9)))
% 147.15/22.44 -> [5245] ~left_apart_point(A39_155_9, L40_155_9), ~left_apart_point(A39_155_9, reverse_line(L40_155_9))
% 147.15/22.44
% 147.15/22.44 [5245] CLOSURE : ~left_apart_point(A39_155_9, L40_155_9)
% 147.15/22.44
% 147.15/22.44 [5104] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5549] ~(left_apart_point(A39_173_9, L40_173_9) | left_apart_point(A39_173_9, reverse_line(L40_173_9)))
% 147.15/22.44
% 147.15/22.44 [5549] ALPHA_NOT_OR : ~(left_apart_point(A39_173_9, L40_173_9) | left_apart_point(A39_173_9, reverse_line(L40_173_9)))
% 147.15/22.44 -> [5550] ~left_apart_point(A39_173_9, L40_173_9), ~left_apart_point(A39_173_9, reverse_line(L40_173_9))
% 147.15/22.44
% 147.15/22.44 [5550] CLOSURE : ~left_apart_point(A39_173_9, L40_173_9)
% 147.15/22.44
% 147.15/22.44 [927] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [1247] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1247] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [1277] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [1277] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44 -> [1278] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [1279] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [1278] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1279] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44 -> [1540] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44 -> [1541] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1540] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1541] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [2063] ~distinct_lines(N27_43_3, N27_43_3)
% 147.15/22.44
% 147.15/22.44 [2063] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [2115] (distinct_lines(N27_43_3, N27_43_3) => (distinct_lines(N27_43_3, N27_43_3) | distinct_lines(N27_43_3, N27_43_3)))
% 147.15/22.44
% 147.15/22.44 [2115] BETA_IMPLY : (distinct_lines(N27_43_3, N27_43_3) => (distinct_lines(N27_43_3, N27_43_3) | distinct_lines(N27_43_3, N27_43_3)))
% 147.15/22.44 -> [2116] ~distinct_lines(N27_43_3, N27_43_3)
% 147.15/22.44 -> [2117] (distinct_lines(N27_43_3, N27_43_3) | distinct_lines(N27_43_3, N27_43_3))
% 147.15/22.44
% 147.15/22.44 [2117] BETA_OR : (distinct_lines(N27_43_3, N27_43_3) | distinct_lines(N27_43_3, N27_43_3))
% 147.15/22.44 -> [2123] distinct_lines(N27_43_3, N27_43_3)
% 147.15/22.44 -> [2124] distinct_lines(N27_43_3, N27_43_3)
% 147.15/22.44
% 147.15/22.44 [2123] CLOSURE : distinct_lines(N27_43_3, N27_43_3)
% 147.15/22.44
% 147.15/22.44 [2124] CLOSURE : distinct_lines(N27_43_3, N27_43_3)
% 147.15/22.44
% 147.15/22.44 [2116] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [2176] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [2176] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [2278] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [2278] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.44 -> [2279] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44 -> [2280] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [2279] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [2280] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.44 -> [3847] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44 -> [3848] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [3848] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [3847] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [4395] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_46_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_46_6))) | (unequally_directed_lines(skolem_N7979, N34_46_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_46_6)))))
% 147.15/22.44
% 147.15/22.44 [4395] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_46_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_46_6))) | (unequally_directed_lines(skolem_N7979, N34_46_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_46_6)))))
% 147.15/22.44 -> [4396] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [4397] ((unequally_directed_lines(skolem_M7878, N34_46_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_46_6))) | (unequally_directed_lines(skolem_N7979, N34_46_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_46_6))))
% 147.15/22.44
% 147.15/22.44 [4396] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [4423] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [4424] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [4424] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [4423] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [4397] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_46_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_46_6))) | (unequally_directed_lines(skolem_N7979, N34_46_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_46_6))))
% 147.15/22.44 -> [6121] (unequally_directed_lines(skolem_M7878, N34_46_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_46_6)))
% 147.15/22.44 -> [6122] (unequally_directed_lines(skolem_N7979, N34_46_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_46_6)))
% 147.15/22.44
% 147.15/22.44 [6121] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_46_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_46_6)))
% 147.15/22.44 -> [6168] unequally_directed_lines(skolem_M7878, N34_46_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_46_6))
% 147.15/22.44
% 147.15/22.44 [6168] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [7223] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [7223] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.44 -> [7227] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.44 -> [7228] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [7227] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.44 -> [7265] ~line(reverse_line(skolem_N7979))
% 147.15/22.44 -> [7266] ~line(skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [7266] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [7431] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [7431] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [7432] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [7433] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [7432] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [7469] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [7470] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [7470] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [7469] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [7433] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [7437] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [7438] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [7438] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [7570] ~(left_apart_point(A39_368_9, L40_368_9) | left_apart_point(A39_368_9, reverse_line(L40_368_9)))
% 147.15/22.44
% 147.15/22.44 [7570] ALPHA_NOT_OR : ~(left_apart_point(A39_368_9, L40_368_9) | left_apart_point(A39_368_9, reverse_line(L40_368_9)))
% 147.15/22.44 -> [7574] ~left_apart_point(A39_368_9, L40_368_9), ~left_apart_point(A39_368_9, reverse_line(L40_368_9))
% 147.15/22.44
% 147.15/22.44 [7574] CLOSURE : ~left_apart_point(A39_368_9, L40_368_9)
% 147.15/22.44
% 147.15/22.44 [7437] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [7597] ~(left_apart_point(A39_373_9, L40_373_9) | left_apart_point(A39_373_9, reverse_line(L40_373_9)))
% 147.15/22.44
% 147.15/22.44 [7597] ALPHA_NOT_OR : ~(left_apart_point(A39_373_9, L40_373_9) | left_apart_point(A39_373_9, reverse_line(L40_373_9)))
% 147.15/22.44 -> [7598] ~left_apart_point(A39_373_9, L40_373_9), ~left_apart_point(A39_373_9, reverse_line(L40_373_9))
% 147.15/22.44
% 147.15/22.44 [7598] CLOSURE : ~left_apart_point(A39_373_9, L40_373_9)
% 147.15/22.44
% 147.15/22.44 [7265] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [7423] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [7423] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [7425] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [7426] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [7425] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [7462] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [7463] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [7463] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [7462] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [7426] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [7429] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [7430] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [7430] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [7555] ~(left_apart_point(A39_365_9, L40_365_9) | left_apart_point(A39_365_9, reverse_line(L40_365_9)))
% 147.15/22.44
% 147.15/22.44 [7555] ALPHA_NOT_OR : ~(left_apart_point(A39_365_9, L40_365_9) | left_apart_point(A39_365_9, reverse_line(L40_365_9)))
% 147.15/22.44 -> [7559] ~left_apart_point(A39_365_9, L40_365_9), ~left_apart_point(A39_365_9, reverse_line(L40_365_9))
% 147.15/22.44
% 147.15/22.44 [7559] CLOSURE : ~left_apart_point(A39_365_9, L40_365_9)
% 147.15/22.44
% 147.15/22.44 [7429] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [7637] ~(left_apart_point(A39_379_9, L40_379_9) | left_apart_point(A39_379_9, reverse_line(L40_379_9)))
% 147.15/22.44
% 147.15/22.44 [7637] ALPHA_NOT_OR : ~(left_apart_point(A39_379_9, L40_379_9) | left_apart_point(A39_379_9, reverse_line(L40_379_9)))
% 147.15/22.44 -> [7640] ~left_apart_point(A39_379_9, L40_379_9), ~left_apart_point(A39_379_9, reverse_line(L40_379_9))
% 147.15/22.44
% 147.15/22.44 [7640] CLOSURE : ~left_apart_point(A39_379_9, L40_379_9)
% 147.15/22.44
% 147.15/22.44 [7228] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.44 -> [7232] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.44 -> [7233] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [7233] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [7232] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [9357] ((unequally_directed_lines(skolem_M7878, M38_316_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_316_8))) => (left_convergent_lines(skolem_M7878, M38_316_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_316_8))))
% 147.15/22.44
% 147.15/22.44 [9357] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_316_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_316_8))) => (left_convergent_lines(skolem_M7878, M38_316_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_316_8))))
% 147.15/22.44 -> [9358] ~(unequally_directed_lines(skolem_M7878, M38_316_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_316_8)))
% 147.15/22.44 -> [9359] (left_convergent_lines(skolem_M7878, M38_316_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_316_8)))
% 147.15/22.44
% 147.15/22.44 [9358] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_316_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_316_8)))
% 147.15/22.44 -> [9362] ~unequally_directed_lines(skolem_M7878, M38_316_8)
% 147.15/22.44 -> [9363] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_316_8))
% 147.15/22.44
% 147.15/22.44 [9363] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_316_8))
% 147.15/22.44
% 147.15/22.44 [9362] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_316_8)
% 147.15/22.44
% 147.15/22.44 [9359] BETA_OR : (left_convergent_lines(skolem_M7878, M38_316_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_316_8)))
% 147.15/22.44 -> [9360] left_convergent_lines(skolem_M7878, M38_316_8)
% 147.15/22.44 -> [9361] left_convergent_lines(skolem_M7878, reverse_line(M38_316_8))
% 147.15/22.44
% 147.15/22.44 [9361] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [9376] ~(left_apart_point(A39_606_9, L40_606_9) | left_apart_point(A39_606_9, reverse_line(L40_606_9)))
% 147.15/22.44
% 147.15/22.44 [9376] ALPHA_NOT_OR : ~(left_apart_point(A39_606_9, L40_606_9) | left_apart_point(A39_606_9, reverse_line(L40_606_9)))
% 147.15/22.44 -> [9379] ~left_apart_point(A39_606_9, L40_606_9), ~left_apart_point(A39_606_9, reverse_line(L40_606_9))
% 147.15/22.44
% 147.15/22.44 [9379] CLOSURE : ~left_apart_point(A39_606_9, L40_606_9)
% 147.15/22.44
% 147.15/22.44 [9360] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [9388] ~(left_apart_point(A39_608_9, L40_608_9) | left_apart_point(A39_608_9, reverse_line(L40_608_9)))
% 147.15/22.44
% 147.15/22.44 [9388] ALPHA_NOT_OR : ~(left_apart_point(A39_608_9, L40_608_9) | left_apart_point(A39_608_9, reverse_line(L40_608_9)))
% 147.15/22.44 -> [9389] ~left_apart_point(A39_608_9, L40_608_9), ~left_apart_point(A39_608_9, reverse_line(L40_608_9))
% 147.15/22.44
% 147.15/22.44 [9389] CLOSURE : ~left_apart_point(A39_608_9, L40_608_9)
% 147.15/22.44
% 147.15/22.44 [6122] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_46_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_46_6)))
% 147.15/22.44 -> [6124] unequally_directed_lines(skolem_N7979, N34_46_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_46_6))
% 147.15/22.44
% 147.15/22.44 [6124] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [7306] ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.15/22.44
% 147.15/22.44 [7306] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.15/22.44 -> [7310] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.44 -> [7311] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.44
% 147.15/22.44 [7310] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.44 -> [7354] ~line(skolem_L7777)
% 147.15/22.44 -> [7355] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [7355] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [7936] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [7936] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44 -> [7941] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [7942] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [7941] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [8001] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [8002] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [8002] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [8001] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [7942] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [7943] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [7944] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [7943] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8663] ~(left_apart_point(A39_529_9, L40_529_9) | left_apart_point(A39_529_9, reverse_line(L40_529_9)))
% 147.15/22.44
% 147.15/22.44 [8663] ALPHA_NOT_OR : ~(left_apart_point(A39_529_9, L40_529_9) | left_apart_point(A39_529_9, reverse_line(L40_529_9)))
% 147.15/22.44 -> [8702] ~left_apart_point(A39_529_9, L40_529_9), ~left_apart_point(A39_529_9, reverse_line(L40_529_9))
% 147.15/22.44
% 147.15/22.44 [8702] CLOSURE : ~left_apart_point(A39_529_9, L40_529_9)
% 147.15/22.44
% 147.15/22.44 [7944] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8717] ~(left_apart_point(A39_532_9, L40_532_9) | left_apart_point(A39_532_9, reverse_line(L40_532_9)))
% 147.15/22.44
% 147.15/22.44 [8717] ALPHA_NOT_OR : ~(left_apart_point(A39_532_9, L40_532_9) | left_apart_point(A39_532_9, reverse_line(L40_532_9)))
% 147.15/22.44 -> [8718] ~left_apart_point(A39_532_9, L40_532_9), ~left_apart_point(A39_532_9, reverse_line(L40_532_9))
% 147.15/22.44
% 147.15/22.44 [8718] CLOSURE : ~left_apart_point(A39_532_9, L40_532_9)
% 147.15/22.44
% 147.15/22.44 [7354] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [8071] ((unequally_directed_lines(skolem_N7979, M38_244_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_244_8))) => (left_convergent_lines(skolem_N7979, M38_244_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_244_8))))
% 147.15/22.44
% 147.15/22.44 [8071] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_244_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_244_8))) => (left_convergent_lines(skolem_N7979, M38_244_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_244_8))))
% 147.15/22.44 -> [8072] ~(unequally_directed_lines(skolem_N7979, M38_244_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_244_8)))
% 147.15/22.44 -> [8073] (left_convergent_lines(skolem_N7979, M38_244_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_244_8)))
% 147.15/22.44
% 147.15/22.44 [8072] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_244_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_244_8)))
% 147.15/22.44 -> [8159] ~unequally_directed_lines(skolem_N7979, M38_244_8)
% 147.15/22.44 -> [8160] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_244_8))
% 147.15/22.44
% 147.15/22.44 [8160] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_244_8))
% 147.15/22.44
% 147.15/22.44 [8159] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_244_8)
% 147.15/22.44
% 147.15/22.44 [8073] BETA_OR : (left_convergent_lines(skolem_N7979, M38_244_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_244_8)))
% 147.15/22.44 -> [8076] left_convergent_lines(skolem_N7979, M38_244_8)
% 147.15/22.44 -> [8077] left_convergent_lines(skolem_N7979, reverse_line(M38_244_8))
% 147.15/22.44
% 147.15/22.44 [8077] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8547] ~(left_apart_point(A39_517_9, L40_517_9) | left_apart_point(A39_517_9, reverse_line(L40_517_9)))
% 147.15/22.44
% 147.15/22.44 [8547] ALPHA_NOT_OR : ~(left_apart_point(A39_517_9, L40_517_9) | left_apart_point(A39_517_9, reverse_line(L40_517_9)))
% 147.15/22.44 -> [8552] ~left_apart_point(A39_517_9, L40_517_9), ~left_apart_point(A39_517_9, reverse_line(L40_517_9))
% 147.15/22.44
% 147.15/22.44 [8552] CLOSURE : ~left_apart_point(A39_517_9, L40_517_9)
% 147.15/22.44
% 147.15/22.44 [8076] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8665] ~(left_apart_point(A39_530_9, L40_530_9) | left_apart_point(A39_530_9, reverse_line(L40_530_9)))
% 147.15/22.44
% 147.15/22.44 [8665] ALPHA_NOT_OR : ~(left_apart_point(A39_530_9, L40_530_9) | left_apart_point(A39_530_9, reverse_line(L40_530_9)))
% 147.15/22.44 -> [8740] ~left_apart_point(A39_530_9, L40_530_9), ~left_apart_point(A39_530_9, reverse_line(L40_530_9))
% 147.15/22.44
% 147.15/22.44 [8740] CLOSURE : ~left_apart_point(A39_530_9, L40_530_9)
% 147.15/22.44
% 147.15/22.44 [7311] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.44 -> [7315] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.44 -> [7316] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [7315] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [7316] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [9667] ((unequally_directed_lines(skolem_N7979, M38_337_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_337_8))) => (left_convergent_lines(skolem_N7979, M38_337_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_337_8))))
% 147.15/22.44
% 147.15/22.44 [9667] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_337_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_337_8))) => (left_convergent_lines(skolem_N7979, M38_337_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_337_8))))
% 147.15/22.44 -> [9669] ~(unequally_directed_lines(skolem_N7979, M38_337_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_337_8)))
% 147.15/22.44 -> [9670] (left_convergent_lines(skolem_N7979, M38_337_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_337_8)))
% 147.15/22.44
% 147.15/22.44 [9669] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_337_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_337_8)))
% 147.15/22.44 -> [9684] ~unequally_directed_lines(skolem_N7979, M38_337_8)
% 147.15/22.44 -> [9685] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_337_8))
% 147.15/22.44
% 147.15/22.44 [9685] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_337_8))
% 147.15/22.44
% 147.15/22.44 [9684] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_337_8)
% 147.15/22.44
% 147.15/22.44 [9670] BETA_OR : (left_convergent_lines(skolem_N7979, M38_337_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_337_8)))
% 147.15/22.44 -> [9675] left_convergent_lines(skolem_N7979, M38_337_8)
% 147.15/22.44 -> [9676] left_convergent_lines(skolem_N7979, reverse_line(M38_337_8))
% 147.15/22.44
% 147.15/22.44 [9676] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [9742] ~(left_apart_point(A39_653_9, L40_653_9) | left_apart_point(A39_653_9, reverse_line(L40_653_9)))
% 147.15/22.44
% 147.15/22.44 [9742] ALPHA_NOT_OR : ~(left_apart_point(A39_653_9, L40_653_9) | left_apart_point(A39_653_9, reverse_line(L40_653_9)))
% 147.15/22.44 -> [9743] ~left_apart_point(A39_653_9, L40_653_9), ~left_apart_point(A39_653_9, reverse_line(L40_653_9))
% 147.15/22.44
% 147.15/22.44 [9743] CLOSURE : ~left_apart_point(A39_653_9, L40_653_9)
% 147.15/22.44
% 147.15/22.44 [9675] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [9751] ~(left_apart_point(A39_655_9, L40_655_9) | left_apart_point(A39_655_9, reverse_line(L40_655_9)))
% 147.15/22.44
% 147.15/22.44 [9751] ALPHA_NOT_OR : ~(left_apart_point(A39_655_9, L40_655_9) | left_apart_point(A39_655_9, reverse_line(L40_655_9)))
% 147.15/22.44 -> [9754] ~left_apart_point(A39_655_9, L40_655_9), ~left_apart_point(A39_655_9, reverse_line(L40_655_9))
% 147.15/22.44
% 147.15/22.44 [9754] CLOSURE : ~left_apart_point(A39_655_9, L40_655_9)
% 147.15/22.44
% 147.15/22.44 [852] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.44 -> [874] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.15/22.44 -> [875] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [874] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [907] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [907] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [932] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [932] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44 -> [935] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [936] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [935] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [936] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44 -> [1798] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44 -> [1799] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1798] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1799] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [1887] ~distinct_lines(N27_26_3, N27_26_3)
% 147.15/22.44
% 147.15/22.44 [1887] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [1892] (distinct_lines(N27_26_3, N27_26_3) => (distinct_lines(N27_26_3, N27_26_3) | distinct_lines(N27_26_3, N27_26_3)))
% 147.15/22.44
% 147.15/22.44 [1892] BETA_IMPLY : (distinct_lines(N27_26_3, N27_26_3) => (distinct_lines(N27_26_3, N27_26_3) | distinct_lines(N27_26_3, N27_26_3)))
% 147.15/22.44 -> [1893] ~distinct_lines(N27_26_3, N27_26_3)
% 147.15/22.44 -> [1894] (distinct_lines(N27_26_3, N27_26_3) | distinct_lines(N27_26_3, N27_26_3))
% 147.15/22.44
% 147.15/22.44 [1894] BETA_OR : (distinct_lines(N27_26_3, N27_26_3) | distinct_lines(N27_26_3, N27_26_3))
% 147.15/22.44 -> [1895] distinct_lines(N27_26_3, N27_26_3)
% 147.15/22.44 -> [1896] distinct_lines(N27_26_3, N27_26_3)
% 147.15/22.44
% 147.15/22.44 [1896] CLOSURE : distinct_lines(N27_26_3, N27_26_3)
% 147.15/22.44
% 147.15/22.44 [1895] CLOSURE : distinct_lines(N27_26_3, N27_26_3)
% 147.15/22.44
% 147.15/22.44 [1893] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [1908] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [1908] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [2198] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [2198] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.44 -> [2200] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44 -> [2201] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [2200] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [2201] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.44 -> [2430] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [2431] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [2430] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [2431] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [2449] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44
% 147.15/22.44 [2449] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44 -> [2450] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [2451] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [2450] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [2460] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [2461] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [2461] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [2460] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [2451] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [2498] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [2499] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [2498] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [2511] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [2511] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [2499] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [2506] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [2506] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [2518] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [2518] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [2521] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [2522] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [2522] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [2523] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [2524] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [2523] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [2524] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [2548] ((unequally_directed_lines(skolem_N7979, M38_3_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_3_8))) => (left_convergent_lines(skolem_N7979, M38_3_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_3_8))))
% 147.15/22.44
% 147.15/22.44 [2548] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_3_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_3_8))) => (left_convergent_lines(skolem_N7979, M38_3_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_3_8))))
% 147.15/22.44 -> [2549] ~(unequally_directed_lines(skolem_N7979, M38_3_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_3_8)))
% 147.15/22.44 -> [2550] (left_convergent_lines(skolem_N7979, M38_3_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_3_8)))
% 147.15/22.44
% 147.15/22.44 [2549] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_3_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_3_8)))
% 147.15/22.44 -> [2563] ~unequally_directed_lines(skolem_N7979, M38_3_8)
% 147.15/22.44 -> [2564] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_3_8))
% 147.15/22.44
% 147.15/22.44 [2564] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_3_8))
% 147.15/22.44
% 147.15/22.44 [2563] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_3_8)
% 147.15/22.44
% 147.15/22.44 [2550] BETA_OR : (left_convergent_lines(skolem_N7979, M38_3_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_3_8)))
% 147.15/22.44 -> [2555] left_convergent_lines(skolem_N7979, M38_3_8)
% 147.15/22.44 -> [2556] left_convergent_lines(skolem_N7979, reverse_line(M38_3_8))
% 147.15/22.44
% 147.15/22.44 [2556] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [2585] ~(left_apart_point(A39_0_9, L40_0_9) | left_apart_point(A39_0_9, reverse_line(L40_0_9)))
% 147.15/22.44
% 147.15/22.44 [2585] ALPHA_NOT_OR : ~(left_apart_point(A39_0_9, L40_0_9) | left_apart_point(A39_0_9, reverse_line(L40_0_9)))
% 147.15/22.44 -> [2589] ~left_apart_point(A39_0_9, L40_0_9), ~left_apart_point(A39_0_9, reverse_line(L40_0_9))
% 147.15/22.44
% 147.15/22.44 [2589] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [2612] ~(left_convergent_lines(L41_0_10, M42_0_10) | left_convergent_lines(L41_0_10, reverse_line(M42_0_10)))
% 147.15/22.44
% 147.15/22.44 [2612] ALPHA_NOT_OR : ~(left_convergent_lines(L41_0_10, M42_0_10) | left_convergent_lines(L41_0_10, reverse_line(M42_0_10)))
% 147.15/22.44 -> [2613] ~left_convergent_lines(L41_0_10, M42_0_10), ~left_convergent_lines(L41_0_10, reverse_line(M42_0_10))
% 147.15/22.44
% 147.15/22.44 [2613] CLOSURE : ~left_convergent_lines(L41_0_10, M42_0_10)
% 147.15/22.44
% 147.15/22.44 [2555] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [2592] ~(left_apart_point(A39_1_9, L40_1_9) | left_apart_point(A39_1_9, reverse_line(L40_1_9)))
% 147.15/22.44
% 147.15/22.44 [2592] ALPHA_NOT_OR : ~(left_apart_point(A39_1_9, L40_1_9) | left_apart_point(A39_1_9, reverse_line(L40_1_9)))
% 147.15/22.44 -> [2597] ~left_apart_point(A39_1_9, L40_1_9), ~left_apart_point(A39_1_9, reverse_line(L40_1_9))
% 147.15/22.44
% 147.15/22.44 [2597] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [2616] ~(left_convergent_lines(L41_1_10, M42_1_10) | left_convergent_lines(L41_1_10, reverse_line(M42_1_10)))
% 147.15/22.44
% 147.15/22.44 [2616] ALPHA_NOT_OR : ~(left_convergent_lines(L41_1_10, M42_1_10) | left_convergent_lines(L41_1_10, reverse_line(M42_1_10)))
% 147.15/22.44 -> [2617] ~left_convergent_lines(L41_1_10, M42_1_10), ~left_convergent_lines(L41_1_10, reverse_line(M42_1_10))
% 147.15/22.44
% 147.15/22.44 [2617] CLOSURE : ~left_convergent_lines(L41_1_10, M42_1_10)
% 147.15/22.44
% 147.15/22.44 [2521] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [2525] ~line(skolem_M7878)
% 147.15/22.44 -> [2526] ~line(skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [2525] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [2543] ((unequally_directed_lines(skolem_N7979, M38_2_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_2_8))) => (left_convergent_lines(skolem_N7979, M38_2_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_2_8))))
% 147.15/22.44
% 147.15/22.44 [2543] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_2_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_2_8))) => (left_convergent_lines(skolem_N7979, M38_2_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_2_8))))
% 147.15/22.44 -> [2546] ~(unequally_directed_lines(skolem_N7979, M38_2_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_2_8)))
% 147.15/22.44 -> [2547] (left_convergent_lines(skolem_N7979, M38_2_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_2_8)))
% 147.15/22.44
% 147.15/22.44 [2546] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_2_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_2_8)))
% 147.15/22.44 -> [2569] ~unequally_directed_lines(skolem_N7979, M38_2_8)
% 147.15/22.44 -> [2570] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_2_8))
% 147.15/22.44
% 147.15/22.44 [2570] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_2_8))
% 147.15/22.44
% 147.15/22.44 [2569] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_2_8)
% 147.15/22.44
% 147.15/22.44 [2547] BETA_OR : (left_convergent_lines(skolem_N7979, M38_2_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_2_8)))
% 147.15/22.44 -> [2553] left_convergent_lines(skolem_N7979, M38_2_8)
% 147.15/22.44 -> [2554] left_convergent_lines(skolem_N7979, reverse_line(M38_2_8))
% 147.15/22.44
% 147.15/22.44 [2554] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [2600] ~(left_apart_point(A39_2_9, L40_2_9) | left_apart_point(A39_2_9, reverse_line(L40_2_9)))
% 147.15/22.44
% 147.15/22.44 [2600] ALPHA_NOT_OR : ~(left_apart_point(A39_2_9, L40_2_9) | left_apart_point(A39_2_9, reverse_line(L40_2_9)))
% 147.15/22.44 -> [2601] ~left_apart_point(A39_2_9, L40_2_9), ~left_apart_point(A39_2_9, reverse_line(L40_2_9))
% 147.15/22.44
% 147.15/22.44 [2601] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [2626] ~(left_convergent_lines(L41_3_10, M42_3_10) | left_convergent_lines(L41_3_10, reverse_line(M42_3_10)))
% 147.15/22.44
% 147.15/22.44 [2626] ALPHA_NOT_OR : ~(left_convergent_lines(L41_3_10, M42_3_10) | left_convergent_lines(L41_3_10, reverse_line(M42_3_10)))
% 147.15/22.44 -> [2628] ~left_convergent_lines(L41_3_10, M42_3_10), ~left_convergent_lines(L41_3_10, reverse_line(M42_3_10))
% 147.15/22.44
% 147.15/22.44 [2628] CLOSURE : ~left_convergent_lines(L41_3_10, M42_3_10)
% 147.15/22.44
% 147.15/22.44 [2553] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [2609] ~(left_apart_point(A39_3_9, L40_3_9) | left_apart_point(A39_3_9, reverse_line(L40_3_9)))
% 147.15/22.44
% 147.15/22.44 [2609] ALPHA_NOT_OR : ~(left_apart_point(A39_3_9, L40_3_9) | left_apart_point(A39_3_9, reverse_line(L40_3_9)))
% 147.15/22.44 -> [2610] ~left_apart_point(A39_3_9, L40_3_9), ~left_apart_point(A39_3_9, reverse_line(L40_3_9))
% 147.15/22.44
% 147.15/22.44 [2610] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [2619] ~(left_convergent_lines(L41_2_10, M42_2_10) | left_convergent_lines(L41_2_10, reverse_line(M42_2_10)))
% 147.15/22.44
% 147.15/22.44 [2619] ALPHA_NOT_OR : ~(left_convergent_lines(L41_2_10, M42_2_10) | left_convergent_lines(L41_2_10, reverse_line(M42_2_10)))
% 147.15/22.44 -> [2622] ~left_convergent_lines(L41_2_10, M42_2_10), ~left_convergent_lines(L41_2_10, reverse_line(M42_2_10))
% 147.15/22.44
% 147.15/22.44 [2622] CLOSURE : ~left_convergent_lines(L41_2_10, M42_2_10)
% 147.15/22.44
% 147.15/22.44 [2526] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [2536] ((unequally_directed_lines(skolem_N7979, M38_1_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1_8))) => (left_convergent_lines(skolem_N7979, M38_1_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1_8))))
% 147.15/22.44
% 147.15/22.44 [2536] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_1_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1_8))) => (left_convergent_lines(skolem_N7979, M38_1_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1_8))))
% 147.15/22.44 -> [2540] ~(unequally_directed_lines(skolem_N7979, M38_1_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1_8)))
% 147.15/22.44 -> [2541] (left_convergent_lines(skolem_N7979, M38_1_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1_8)))
% 147.15/22.44
% 147.15/22.44 [2540] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_1_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_1_8)))
% 147.15/22.44 -> [2560] ~unequally_directed_lines(skolem_N7979, M38_1_8)
% 147.15/22.44 -> [2561] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1_8))
% 147.15/22.44
% 147.15/22.44 [2561] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_1_8))
% 147.15/22.44
% 147.15/22.44 [2560] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_1_8)
% 147.15/22.44
% 147.15/22.44 [2541] BETA_OR : (left_convergent_lines(skolem_N7979, M38_1_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_1_8)))
% 147.15/22.44 -> [2603] left_convergent_lines(skolem_N7979, M38_1_8)
% 147.15/22.44 -> [2604] left_convergent_lines(skolem_N7979, reverse_line(M38_1_8))
% 147.15/22.44
% 147.15/22.44 [2604] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [2642] ~(left_apart_point(A39_5_9, L40_5_9) | left_apart_point(A39_5_9, reverse_line(L40_5_9)))
% 147.15/22.44
% 147.15/22.44 [2642] ALPHA_NOT_OR : ~(left_apart_point(A39_5_9, L40_5_9) | left_apart_point(A39_5_9, reverse_line(L40_5_9)))
% 147.15/22.44 -> [2643] ~left_apart_point(A39_5_9, L40_5_9), ~left_apart_point(A39_5_9, reverse_line(L40_5_9))
% 147.15/22.44
% 147.15/22.44 [2643] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [2731] ~(left_convergent_lines(L41_4_10, M42_4_10) | left_convergent_lines(L41_4_10, reverse_line(M42_4_10)))
% 147.15/22.44
% 147.15/22.44 [2731] ALPHA_NOT_OR : ~(left_convergent_lines(L41_4_10, M42_4_10) | left_convergent_lines(L41_4_10, reverse_line(M42_4_10)))
% 147.15/22.44 -> [2733] ~left_convergent_lines(L41_4_10, M42_4_10), ~left_convergent_lines(L41_4_10, reverse_line(M42_4_10))
% 147.15/22.44
% 147.15/22.44 [2733] CLOSURE : ~left_convergent_lines(L41_4_10, M42_4_10)
% 147.15/22.44
% 147.15/22.44 [2603] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [2647] ~(left_apart_point(A39_6_9, L40_6_9) | left_apart_point(A39_6_9, reverse_line(L40_6_9)))
% 147.15/22.44
% 147.15/22.44 [2647] ALPHA_NOT_OR : ~(left_apart_point(A39_6_9, L40_6_9) | left_apart_point(A39_6_9, reverse_line(L40_6_9)))
% 147.15/22.44 -> [2652] ~left_apart_point(A39_6_9, L40_6_9), ~left_apart_point(A39_6_9, reverse_line(L40_6_9))
% 147.15/22.44
% 147.15/22.44 [2652] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [2739] ~(left_convergent_lines(L41_5_10, M42_5_10) | left_convergent_lines(L41_5_10, reverse_line(M42_5_10)))
% 147.15/22.44
% 147.15/22.44 [2739] ALPHA_NOT_OR : ~(left_convergent_lines(L41_5_10, M42_5_10) | left_convergent_lines(L41_5_10, reverse_line(M42_5_10)))
% 147.15/22.44 -> [2740] ~left_convergent_lines(L41_5_10, M42_5_10), ~left_convergent_lines(L41_5_10, reverse_line(M42_5_10))
% 147.15/22.44
% 147.15/22.44 [2740] CLOSURE : ~left_convergent_lines(L41_5_10, M42_5_10)
% 147.15/22.44
% 147.15/22.44 [875] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44 -> [881] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [881] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44 -> [886] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.44 -> [887] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [886] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [923] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [923] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [1021] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [1021] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44 -> [1022] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [1023] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [1022] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1023] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44 -> [1968] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44 -> [1969] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1968] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1969] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [2019] ~distinct_lines(N27_37_3, N27_37_3)
% 147.15/22.44
% 147.15/22.44 [2019] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [2041] (distinct_lines(N27_37_3, N27_37_3) => (distinct_lines(N27_37_3, N27_37_3) | distinct_lines(N27_37_3, N27_37_3)))
% 147.15/22.44
% 147.15/22.44 [2041] BETA_IMPLY : (distinct_lines(N27_37_3, N27_37_3) => (distinct_lines(N27_37_3, N27_37_3) | distinct_lines(N27_37_3, N27_37_3)))
% 147.15/22.44 -> [2042] ~distinct_lines(N27_37_3, N27_37_3)
% 147.15/22.44 -> [2043] (distinct_lines(N27_37_3, N27_37_3) | distinct_lines(N27_37_3, N27_37_3))
% 147.15/22.44
% 147.15/22.44 [2043] BETA_OR : (distinct_lines(N27_37_3, N27_37_3) | distinct_lines(N27_37_3, N27_37_3))
% 147.15/22.44 -> [2044] distinct_lines(N27_37_3, N27_37_3)
% 147.15/22.44 -> [2045] distinct_lines(N27_37_3, N27_37_3)
% 147.15/22.44
% 147.15/22.44 [2044] CLOSURE : distinct_lines(N27_37_3, N27_37_3)
% 147.15/22.44
% 147.15/22.44 [2045] CLOSURE : distinct_lines(N27_37_3, N27_37_3)
% 147.15/22.44
% 147.15/22.44 [2042] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [2259] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [2259] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [3028] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [3028] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.44 -> [3031] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44 -> [3032] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [3031] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [3032] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.44 -> [4322] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44 -> [4323] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [4323] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [4322] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [5188] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_64_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_64_6))) | (unequally_directed_lines(skolem_N7979, N34_64_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_64_6)))))
% 147.15/22.44
% 147.15/22.44 [5188] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_64_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_64_6))) | (unequally_directed_lines(skolem_N7979, N34_64_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_64_6)))))
% 147.15/22.44 -> [5190] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [5191] ((unequally_directed_lines(skolem_M7878, N34_64_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_64_6))) | (unequally_directed_lines(skolem_N7979, N34_64_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_64_6))))
% 147.15/22.44
% 147.15/22.44 [5190] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [5199] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [5200] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [5200] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [5199] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [5191] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_64_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_64_6))) | (unequally_directed_lines(skolem_N7979, N34_64_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_64_6))))
% 147.15/22.44 -> [5898] (unequally_directed_lines(skolem_M7878, N34_64_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_64_6)))
% 147.15/22.44 -> [5899] (unequally_directed_lines(skolem_N7979, N34_64_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_64_6)))
% 147.15/22.44
% 147.15/22.44 [5899] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_64_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_64_6)))
% 147.15/22.44 -> [5902] unequally_directed_lines(skolem_N7979, N34_64_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_64_6))
% 147.15/22.44
% 147.15/22.44 [5902] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [5984] ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.44
% 147.15/22.44 [5984] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.44 -> [5988] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.44 -> [5989] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [5989] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.44 -> [5993] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44 -> [5994] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [5993] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [5994] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [6490] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [6490] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44 -> [6491] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [6492] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [6492] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [6494] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [6495] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [6495] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6523] ~(left_apart_point(A39_255_9, L40_255_9) | left_apart_point(A39_255_9, reverse_line(L40_255_9)))
% 147.15/22.44
% 147.15/22.44 [6523] ALPHA_NOT_OR : ~(left_apart_point(A39_255_9, L40_255_9) | left_apart_point(A39_255_9, reverse_line(L40_255_9)))
% 147.15/22.44 -> [6526] ~left_apart_point(A39_255_9, L40_255_9), ~left_apart_point(A39_255_9, reverse_line(L40_255_9))
% 147.15/22.44
% 147.15/22.44 [6526] CLOSURE : ~left_apart_point(A39_255_9, L40_255_9)
% 147.15/22.44
% 147.15/22.44 [6494] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6531] ~(left_apart_point(A39_256_9, L40_256_9) | left_apart_point(A39_256_9, reverse_line(L40_256_9)))
% 147.15/22.44
% 147.15/22.44 [6531] ALPHA_NOT_OR : ~(left_apart_point(A39_256_9, L40_256_9) | left_apart_point(A39_256_9, reverse_line(L40_256_9)))
% 147.15/22.44 -> [6535] ~left_apart_point(A39_256_9, L40_256_9), ~left_apart_point(A39_256_9, reverse_line(L40_256_9))
% 147.15/22.44
% 147.15/22.44 [6535] CLOSURE : ~left_apart_point(A39_256_9, L40_256_9)
% 147.15/22.44
% 147.15/22.44 [6491] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [6498] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [6499] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [6499] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [6498] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [5988] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.44 -> [6014] ~line(reverse_line(skolem_N7979))
% 147.15/22.44 -> [6015] ~line(reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [6014] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [6187] ((unequally_directed_lines(skolem_N7979, M38_125_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_125_8))) => (left_convergent_lines(skolem_N7979, M38_125_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_125_8))))
% 147.15/22.44
% 147.15/22.44 [6187] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_125_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_125_8))) => (left_convergent_lines(skolem_N7979, M38_125_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_125_8))))
% 147.15/22.44 -> [6190] ~(unequally_directed_lines(skolem_N7979, M38_125_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_125_8)))
% 147.15/22.44 -> [6191] (left_convergent_lines(skolem_N7979, M38_125_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_125_8)))
% 147.15/22.44
% 147.15/22.44 [6190] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_125_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_125_8)))
% 147.15/22.44 -> [6782] ~unequally_directed_lines(skolem_N7979, M38_125_8)
% 147.15/22.44 -> [6783] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_125_8))
% 147.15/22.44
% 147.15/22.44 [6783] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_125_8))
% 147.15/22.44
% 147.15/22.44 [6782] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_125_8)
% 147.15/22.44
% 147.15/22.44 [6191] BETA_OR : (left_convergent_lines(skolem_N7979, M38_125_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_125_8)))
% 147.15/22.44 -> [6192] left_convergent_lines(skolem_N7979, M38_125_8)
% 147.15/22.44 -> [6193] left_convergent_lines(skolem_N7979, reverse_line(M38_125_8))
% 147.15/22.44
% 147.15/22.44 [6193] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6850] ~(left_apart_point(A39_289_9, L40_289_9) | left_apart_point(A39_289_9, reverse_line(L40_289_9)))
% 147.15/22.44
% 147.15/22.44 [6850] ALPHA_NOT_OR : ~(left_apart_point(A39_289_9, L40_289_9) | left_apart_point(A39_289_9, reverse_line(L40_289_9)))
% 147.15/22.44 -> [6852] ~left_apart_point(A39_289_9, L40_289_9), ~left_apart_point(A39_289_9, reverse_line(L40_289_9))
% 147.15/22.44
% 147.15/22.44 [6852] CLOSURE : ~left_apart_point(A39_289_9, L40_289_9)
% 147.15/22.44
% 147.15/22.44 [6192] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6912] ~(left_apart_point(A39_296_9, L40_296_9) | left_apart_point(A39_296_9, reverse_line(L40_296_9)))
% 147.15/22.44
% 147.15/22.44 [6912] ALPHA_NOT_OR : ~(left_apart_point(A39_296_9, L40_296_9) | left_apart_point(A39_296_9, reverse_line(L40_296_9)))
% 147.15/22.44 -> [6913] ~left_apart_point(A39_296_9, L40_296_9), ~left_apart_point(A39_296_9, reverse_line(L40_296_9))
% 147.15/22.44
% 147.15/22.44 [6913] CLOSURE : ~left_apart_point(A39_296_9, L40_296_9)
% 147.15/22.44
% 147.15/22.44 [6015] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [6143] ((unequally_directed_lines(skolem_N7979, M38_122_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_122_8))) => (left_convergent_lines(skolem_N7979, M38_122_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_122_8))))
% 147.15/22.44
% 147.15/22.44 [6143] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_122_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_122_8))) => (left_convergent_lines(skolem_N7979, M38_122_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_122_8))))
% 147.15/22.44 -> [6144] ~(unequally_directed_lines(skolem_N7979, M38_122_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_122_8)))
% 147.15/22.44 -> [6145] (left_convergent_lines(skolem_N7979, M38_122_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_122_8)))
% 147.15/22.44
% 147.15/22.44 [6144] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_122_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_122_8)))
% 147.15/22.44 -> [6194] ~unequally_directed_lines(skolem_N7979, M38_122_8)
% 147.15/22.44 -> [6195] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_122_8))
% 147.15/22.44
% 147.15/22.44 [6194] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_122_8)
% 147.15/22.44
% 147.15/22.44 [6195] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_122_8))
% 147.15/22.44
% 147.15/22.44 [6145] BETA_OR : (left_convergent_lines(skolem_N7979, M38_122_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_122_8)))
% 147.15/22.44 -> [6146] left_convergent_lines(skolem_N7979, M38_122_8)
% 147.15/22.44 -> [6147] left_convergent_lines(skolem_N7979, reverse_line(M38_122_8))
% 147.15/22.44
% 147.15/22.44 [6147] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6459] ~(left_apart_point(A39_249_9, L40_249_9) | left_apart_point(A39_249_9, reverse_line(L40_249_9)))
% 147.15/22.44
% 147.15/22.44 [6459] ALPHA_NOT_OR : ~(left_apart_point(A39_249_9, L40_249_9) | left_apart_point(A39_249_9, reverse_line(L40_249_9)))
% 147.15/22.44 -> [6462] ~left_apart_point(A39_249_9, L40_249_9), ~left_apart_point(A39_249_9, reverse_line(L40_249_9))
% 147.15/22.44
% 147.15/22.44 [6462] CLOSURE : ~left_apart_point(A39_249_9, L40_249_9)
% 147.15/22.44
% 147.15/22.44 [6146] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [7982] ~(left_apart_point(A39_426_9, L40_426_9) | left_apart_point(A39_426_9, reverse_line(L40_426_9)))
% 147.15/22.44
% 147.15/22.44 [7982] ALPHA_NOT_OR : ~(left_apart_point(A39_426_9, L40_426_9) | left_apart_point(A39_426_9, reverse_line(L40_426_9)))
% 147.15/22.44 -> [7983] ~left_apart_point(A39_426_9, L40_426_9), ~left_apart_point(A39_426_9, reverse_line(L40_426_9))
% 147.15/22.44
% 147.15/22.44 [7983] CLOSURE : ~left_apart_point(A39_426_9, L40_426_9)
% 147.15/22.44
% 147.15/22.44 [5898] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_64_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_64_6)))
% 147.15/22.44 -> [5908] unequally_directed_lines(skolem_M7878, N34_64_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_64_6))
% 147.15/22.44
% 147.15/22.44 [5908] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [6007] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [6007] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.44 -> [6008] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.44 -> [6009] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [6008] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.44 -> [6045] ~line(reverse_line(skolem_N7979))
% 147.15/22.44 -> [6046] ~line(skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [6045] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [6264] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [6264] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [6265] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6266] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [6266] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6276] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [6277] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6277] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6458] ~(left_apart_point(A39_248_9, L40_248_9) | left_apart_point(A39_248_9, reverse_line(L40_248_9)))
% 147.15/22.44
% 147.15/22.44 [6458] ALPHA_NOT_OR : ~(left_apart_point(A39_248_9, L40_248_9) | left_apart_point(A39_248_9, reverse_line(L40_248_9)))
% 147.15/22.44 -> [6461] ~left_apart_point(A39_248_9, L40_248_9), ~left_apart_point(A39_248_9, reverse_line(L40_248_9))
% 147.15/22.44
% 147.15/22.44 [6461] CLOSURE : ~left_apart_point(A39_248_9, L40_248_9)
% 147.15/22.44
% 147.15/22.44 [6276] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6457] ~(left_apart_point(A39_247_9, L40_247_9) | left_apart_point(A39_247_9, reverse_line(L40_247_9)))
% 147.15/22.44
% 147.15/22.44 [6457] ALPHA_NOT_OR : ~(left_apart_point(A39_247_9, L40_247_9) | left_apart_point(A39_247_9, reverse_line(L40_247_9)))
% 147.15/22.44 -> [6460] ~left_apart_point(A39_247_9, L40_247_9), ~left_apart_point(A39_247_9, reverse_line(L40_247_9))
% 147.15/22.44
% 147.15/22.44 [6460] CLOSURE : ~left_apart_point(A39_247_9, L40_247_9)
% 147.15/22.44
% 147.15/22.44 [6265] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6386] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [6387] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6387] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6386] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [6046] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [6171] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [6171] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [6172] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6173] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [6172] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6290] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [6291] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6291] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6290] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [6173] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6178] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [6179] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6178] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6665] ~(left_apart_point(A39_265_9, L40_265_9) | left_apart_point(A39_265_9, reverse_line(L40_265_9)))
% 147.15/22.44
% 147.15/22.44 [6665] ALPHA_NOT_OR : ~(left_apart_point(A39_265_9, L40_265_9) | left_apart_point(A39_265_9, reverse_line(L40_265_9)))
% 147.15/22.44 -> [6668] ~left_apart_point(A39_265_9, L40_265_9), ~left_apart_point(A39_265_9, reverse_line(L40_265_9))
% 147.15/22.44
% 147.15/22.44 [6668] CLOSURE : ~left_apart_point(A39_265_9, L40_265_9)
% 147.15/22.44
% 147.15/22.44 [6179] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6750] ~(left_apart_point(A39_267_9, L40_267_9) | left_apart_point(A39_267_9, reverse_line(L40_267_9)))
% 147.15/22.44
% 147.15/22.44 [6750] ALPHA_NOT_OR : ~(left_apart_point(A39_267_9, L40_267_9) | left_apart_point(A39_267_9, reverse_line(L40_267_9)))
% 147.15/22.44 -> [6758] ~left_apart_point(A39_267_9, L40_267_9), ~left_apart_point(A39_267_9, reverse_line(L40_267_9))
% 147.15/22.44
% 147.15/22.44 [6758] CLOSURE : ~left_apart_point(A39_267_9, L40_267_9)
% 147.15/22.44
% 147.15/22.44 [6009] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.44 -> [6012] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.44 -> [6013] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [6013] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [6012] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [9166] ((unequally_directed_lines(skolem_M7878, M38_303_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_303_8))) => (left_convergent_lines(skolem_M7878, M38_303_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_303_8))))
% 147.15/22.44
% 147.15/22.44 [9166] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_303_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_303_8))) => (left_convergent_lines(skolem_M7878, M38_303_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_303_8))))
% 147.15/22.44 -> [9169] ~(unequally_directed_lines(skolem_M7878, M38_303_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_303_8)))
% 147.15/22.44 -> [9170] (left_convergent_lines(skolem_M7878, M38_303_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_303_8)))
% 147.15/22.44
% 147.15/22.44 [9170] BETA_OR : (left_convergent_lines(skolem_M7878, M38_303_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_303_8)))
% 147.15/22.44 -> [9178] left_convergent_lines(skolem_M7878, M38_303_8)
% 147.15/22.44 -> [9179] left_convergent_lines(skolem_M7878, reverse_line(M38_303_8))
% 147.15/22.44
% 147.15/22.44 [9178] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [9353] ~(left_apart_point(A39_604_9, L40_604_9) | left_apart_point(A39_604_9, reverse_line(L40_604_9)))
% 147.15/22.44
% 147.15/22.44 [9353] ALPHA_NOT_OR : ~(left_apart_point(A39_604_9, L40_604_9) | left_apart_point(A39_604_9, reverse_line(L40_604_9)))
% 147.15/22.44 -> [9354] ~left_apart_point(A39_604_9, L40_604_9), ~left_apart_point(A39_604_9, reverse_line(L40_604_9))
% 147.15/22.44
% 147.15/22.44 [9354] CLOSURE : ~left_apart_point(A39_604_9, L40_604_9)
% 147.15/22.44
% 147.15/22.44 [9179] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [9355] ~(left_apart_point(A39_605_9, L40_605_9) | left_apart_point(A39_605_9, reverse_line(L40_605_9)))
% 147.15/22.44
% 147.15/22.44 [9355] ALPHA_NOT_OR : ~(left_apart_point(A39_605_9, L40_605_9) | left_apart_point(A39_605_9, reverse_line(L40_605_9)))
% 147.15/22.44 -> [9356] ~left_apart_point(A39_605_9, L40_605_9), ~left_apart_point(A39_605_9, reverse_line(L40_605_9))
% 147.15/22.44
% 147.15/22.44 [9356] CLOSURE : ~left_apart_point(A39_605_9, L40_605_9)
% 147.15/22.44
% 147.15/22.44 [9169] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_303_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_303_8)))
% 147.15/22.44 -> [9252] ~unequally_directed_lines(skolem_M7878, M38_303_8)
% 147.15/22.44 -> [9253] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_303_8))
% 147.15/22.44
% 147.15/22.44 [9253] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_303_8))
% 147.15/22.44
% 147.15/22.44 [9252] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_303_8)
% 147.15/22.44
% 147.15/22.44 [887] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [913] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [913] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [1290] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [1290] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44 -> [1291] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [1292] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [1291] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1292] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44 -> [1818] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44 -> [1819] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1818] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1819] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [2114] ~distinct_lines(N27_50_3, N27_50_3)
% 147.15/22.44
% 147.15/22.44 [2114] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [2183] (distinct_lines(N27_50_3, N27_50_3) => (distinct_lines(N27_50_3, N27_50_3) | distinct_lines(N27_50_3, N27_50_3)))
% 147.15/22.44
% 147.15/22.44 [2183] BETA_IMPLY : (distinct_lines(N27_50_3, N27_50_3) => (distinct_lines(N27_50_3, N27_50_3) | distinct_lines(N27_50_3, N27_50_3)))
% 147.15/22.44 -> [2188] ~distinct_lines(N27_50_3, N27_50_3)
% 147.15/22.44 -> [2189] (distinct_lines(N27_50_3, N27_50_3) | distinct_lines(N27_50_3, N27_50_3))
% 147.15/22.44
% 147.15/22.44 [2189] BETA_OR : (distinct_lines(N27_50_3, N27_50_3) | distinct_lines(N27_50_3, N27_50_3))
% 147.15/22.44 -> [2351] distinct_lines(N27_50_3, N27_50_3)
% 147.15/22.44 -> [2352] distinct_lines(N27_50_3, N27_50_3)
% 147.15/22.44
% 147.15/22.44 [2352] CLOSURE : distinct_lines(N27_50_3, N27_50_3)
% 147.15/22.44
% 147.15/22.44 [2351] CLOSURE : distinct_lines(N27_50_3, N27_50_3)
% 147.15/22.44
% 147.15/22.44 [2188] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [2260] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [2260] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [2358] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [2358] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.44 -> [2359] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44 -> [2360] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [2359] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [2360] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.44 -> [5235] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44 -> [5236] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [5236] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [5235] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [5413] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_69_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_69_6))) | (unequally_directed_lines(skolem_N7979, N34_69_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_69_6)))))
% 147.15/22.44
% 147.15/22.44 [5413] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_69_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_69_6))) | (unequally_directed_lines(skolem_N7979, N34_69_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_69_6)))))
% 147.15/22.44 -> [5414] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [5415] ((unequally_directed_lines(skolem_M7878, N34_69_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_69_6))) | (unequally_directed_lines(skolem_N7979, N34_69_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_69_6))))
% 147.15/22.44
% 147.15/22.44 [5414] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [5430] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [5431] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [5431] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [5430] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [5415] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_69_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_69_6))) | (unequally_directed_lines(skolem_N7979, N34_69_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_69_6))))
% 147.15/22.44 -> [8237] (unequally_directed_lines(skolem_M7878, N34_69_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_69_6)))
% 147.15/22.44 -> [8238] (unequally_directed_lines(skolem_N7979, N34_69_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_69_6)))
% 147.15/22.44
% 147.15/22.44 [8238] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_69_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_69_6)))
% 147.15/22.44 -> [8242] unequally_directed_lines(skolem_N7979, N34_69_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_69_6))
% 147.15/22.44
% 147.15/22.44 [8242] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [8516] ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.44
% 147.15/22.44 [8516] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.44 -> [8517] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.44 -> [8518] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [8517] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.44 -> [8569] ~line(reverse_line(skolem_N7979))
% 147.15/22.44 -> [8570] ~line(reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [8569] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [8656] ((unequally_directed_lines(skolem_N7979, M38_273_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_273_8))) => (left_convergent_lines(skolem_N7979, M38_273_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_273_8))))
% 147.15/22.44
% 147.15/22.44 [8656] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_273_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_273_8))) => (left_convergent_lines(skolem_N7979, M38_273_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_273_8))))
% 147.15/22.44 -> [8657] ~(unequally_directed_lines(skolem_N7979, M38_273_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_273_8)))
% 147.15/22.44 -> [8658] (left_convergent_lines(skolem_N7979, M38_273_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_273_8)))
% 147.15/22.44
% 147.15/22.44 [8658] BETA_OR : (left_convergent_lines(skolem_N7979, M38_273_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_273_8)))
% 147.15/22.44 -> [8659] left_convergent_lines(skolem_N7979, M38_273_8)
% 147.15/22.44 -> [8660] left_convergent_lines(skolem_N7979, reverse_line(M38_273_8))
% 147.15/22.44
% 147.15/22.44 [8660] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8800] ~(left_apart_point(A39_540_9, L40_540_9) | left_apart_point(A39_540_9, reverse_line(L40_540_9)))
% 147.15/22.44
% 147.15/22.44 [8800] ALPHA_NOT_OR : ~(left_apart_point(A39_540_9, L40_540_9) | left_apart_point(A39_540_9, reverse_line(L40_540_9)))
% 147.15/22.44 -> [8801] ~left_apart_point(A39_540_9, L40_540_9), ~left_apart_point(A39_540_9, reverse_line(L40_540_9))
% 147.15/22.44
% 147.15/22.44 [8801] CLOSURE : ~left_apart_point(A39_540_9, L40_540_9)
% 147.15/22.44
% 147.15/22.44 [8659] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8865] ~(left_apart_point(A39_545_9, L40_545_9) | left_apart_point(A39_545_9, reverse_line(L40_545_9)))
% 147.15/22.44
% 147.15/22.44 [8865] ALPHA_NOT_OR : ~(left_apart_point(A39_545_9, L40_545_9) | left_apart_point(A39_545_9, reverse_line(L40_545_9)))
% 147.15/22.44 -> [8867] ~left_apart_point(A39_545_9, L40_545_9), ~left_apart_point(A39_545_9, reverse_line(L40_545_9))
% 147.15/22.44
% 147.15/22.44 [8867] CLOSURE : ~left_apart_point(A39_545_9, L40_545_9)
% 147.15/22.44
% 147.15/22.44 [8657] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_273_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_273_8)))
% 147.15/22.44 -> [8690] ~unequally_directed_lines(skolem_N7979, M38_273_8)
% 147.15/22.44 -> [8691] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_273_8))
% 147.15/22.44
% 147.15/22.44 [8691] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_273_8))
% 147.15/22.44
% 147.15/22.44 [8690] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_273_8)
% 147.15/22.44
% 147.15/22.44 [8570] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [8626] ((unequally_directed_lines(skolem_N7979, M38_270_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_270_8))) => (left_convergent_lines(skolem_N7979, M38_270_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_270_8))))
% 147.15/22.44
% 147.15/22.44 [8626] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_270_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_270_8))) => (left_convergent_lines(skolem_N7979, M38_270_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_270_8))))
% 147.15/22.44 -> [8627] ~(unequally_directed_lines(skolem_N7979, M38_270_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_270_8)))
% 147.15/22.44 -> [8628] (left_convergent_lines(skolem_N7979, M38_270_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_270_8)))
% 147.15/22.44
% 147.15/22.44 [8627] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_270_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_270_8)))
% 147.15/22.44 -> [8725] ~unequally_directed_lines(skolem_N7979, M38_270_8)
% 147.15/22.44 -> [8726] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_270_8))
% 147.15/22.44
% 147.15/22.44 [8726] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_270_8))
% 147.15/22.44
% 147.15/22.44 [8725] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_270_8)
% 147.15/22.44
% 147.15/22.44 [8628] BETA_OR : (left_convergent_lines(skolem_N7979, M38_270_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_270_8)))
% 147.15/22.44 -> [8630] left_convergent_lines(skolem_N7979, M38_270_8)
% 147.15/22.44 -> [8631] left_convergent_lines(skolem_N7979, reverse_line(M38_270_8))
% 147.15/22.44
% 147.15/22.44 [8631] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8927] ~(left_apart_point(A39_554_9, L40_554_9) | left_apart_point(A39_554_9, reverse_line(L40_554_9)))
% 147.15/22.44
% 147.15/22.44 [8927] ALPHA_NOT_OR : ~(left_apart_point(A39_554_9, L40_554_9) | left_apart_point(A39_554_9, reverse_line(L40_554_9)))
% 147.15/22.44 -> [8930] ~left_apart_point(A39_554_9, L40_554_9), ~left_apart_point(A39_554_9, reverse_line(L40_554_9))
% 147.15/22.44
% 147.15/22.44 [8930] CLOSURE : ~left_apart_point(A39_554_9, L40_554_9)
% 147.15/22.44
% 147.15/22.44 [8630] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8871] ~(left_apart_point(A39_546_9, L40_546_9) | left_apart_point(A39_546_9, reverse_line(L40_546_9)))
% 147.15/22.44
% 147.15/22.44 [8871] ALPHA_NOT_OR : ~(left_apart_point(A39_546_9, L40_546_9) | left_apart_point(A39_546_9, reverse_line(L40_546_9)))
% 147.15/22.44 -> [9035] ~left_apart_point(A39_546_9, L40_546_9), ~left_apart_point(A39_546_9, reverse_line(L40_546_9))
% 147.15/22.44
% 147.15/22.44 [9035] CLOSURE : ~left_apart_point(A39_546_9, L40_546_9)
% 147.15/22.44
% 147.15/22.44 [8518] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.44 -> [8521] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44 -> [8522] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [8521] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [8522] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [9678] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [9678] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44 -> [9679] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [9680] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [9680] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [9687] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [9688] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [9688] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [9714] ~(left_apart_point(A39_650_9, L40_650_9) | left_apart_point(A39_650_9, reverse_line(L40_650_9)))
% 147.15/22.44
% 147.15/22.44 [9714] ALPHA_NOT_OR : ~(left_apart_point(A39_650_9, L40_650_9) | left_apart_point(A39_650_9, reverse_line(L40_650_9)))
% 147.15/22.44 -> [9718] ~left_apart_point(A39_650_9, L40_650_9), ~left_apart_point(A39_650_9, reverse_line(L40_650_9))
% 147.15/22.44
% 147.15/22.44 [9718] CLOSURE : ~left_apart_point(A39_650_9, L40_650_9)
% 147.15/22.44
% 147.15/22.44 [9687] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [9731] ~(left_apart_point(A39_651_9, L40_651_9) | left_apart_point(A39_651_9, reverse_line(L40_651_9)))
% 147.15/22.44
% 147.15/22.44 [9731] ALPHA_NOT_OR : ~(left_apart_point(A39_651_9, L40_651_9) | left_apart_point(A39_651_9, reverse_line(L40_651_9)))
% 147.15/22.44 -> [9733] ~left_apart_point(A39_651_9, L40_651_9), ~left_apart_point(A39_651_9, reverse_line(L40_651_9))
% 147.15/22.44
% 147.15/22.44 [9733] CLOSURE : ~left_apart_point(A39_651_9, L40_651_9)
% 147.15/22.44
% 147.15/22.44 [9679] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [9691] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [9692] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [9692] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [9691] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [8237] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_69_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_69_6)))
% 147.15/22.44 -> [8288] unequally_directed_lines(skolem_M7878, N34_69_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_69_6))
% 147.15/22.44
% 147.15/22.44 [8288] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [8550] ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.15/22.44
% 147.15/22.44 [8550] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))))
% 147.15/22.44 -> [8553] ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.44 -> [8554] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.44
% 147.15/22.44 [8553] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.44 -> [8582] ~line(skolem_L7777)
% 147.15/22.44 -> [8583] ~line(line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [8583] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [8649] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [8649] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [8651] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [8652] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [8652] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [8654] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [8655] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [8655] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8790] ~(left_apart_point(A39_539_9, L40_539_9) | left_apart_point(A39_539_9, reverse_line(L40_539_9)))
% 147.15/22.44
% 147.15/22.44 [8790] ALPHA_NOT_OR : ~(left_apart_point(A39_539_9, L40_539_9) | left_apart_point(A39_539_9, reverse_line(L40_539_9)))
% 147.15/22.44 -> [8793] ~left_apart_point(A39_539_9, L40_539_9), ~left_apart_point(A39_539_9, reverse_line(L40_539_9))
% 147.15/22.44
% 147.15/22.44 [8793] CLOSURE : ~left_apart_point(A39_539_9, L40_539_9)
% 147.15/22.44
% 147.15/22.44 [8654] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8856] ~(left_apart_point(A39_544_9, L40_544_9) | left_apart_point(A39_544_9, reverse_line(L40_544_9)))
% 147.15/22.44
% 147.15/22.44 [8856] ALPHA_NOT_OR : ~(left_apart_point(A39_544_9, L40_544_9) | left_apart_point(A39_544_9, reverse_line(L40_544_9)))
% 147.15/22.44 -> [8857] ~left_apart_point(A39_544_9, L40_544_9), ~left_apart_point(A39_544_9, reverse_line(L40_544_9))
% 147.15/22.44
% 147.15/22.44 [8857] CLOSURE : ~left_apart_point(A39_544_9, L40_544_9)
% 147.15/22.44
% 147.15/22.44 [8651] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [8687] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [8688] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [8688] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [8687] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [8582] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [8712] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [8712] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [8715] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [8716] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [8716] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [8719] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [8720] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [8720] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8924] ~(left_apart_point(A39_553_9, L40_553_9) | left_apart_point(A39_553_9, reverse_line(L40_553_9)))
% 147.15/22.44
% 147.15/22.44 [8924] ALPHA_NOT_OR : ~(left_apart_point(A39_553_9, L40_553_9) | left_apart_point(A39_553_9, reverse_line(L40_553_9)))
% 147.15/22.44 -> [8925] ~left_apart_point(A39_553_9, L40_553_9), ~left_apart_point(A39_553_9, reverse_line(L40_553_9))
% 147.15/22.44
% 147.15/22.44 [8925] CLOSURE : ~left_apart_point(A39_553_9, L40_553_9)
% 147.15/22.44
% 147.15/22.44 [8719] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8999] ~(left_apart_point(A39_559_9, L40_559_9) | left_apart_point(A39_559_9, reverse_line(L40_559_9)))
% 147.15/22.44
% 147.15/22.44 [8999] ALPHA_NOT_OR : ~(left_apart_point(A39_559_9, L40_559_9) | left_apart_point(A39_559_9, reverse_line(L40_559_9)))
% 147.15/22.44 -> [9001] ~left_apart_point(A39_559_9, L40_559_9), ~left_apart_point(A39_559_9, reverse_line(L40_559_9))
% 147.15/22.44
% 147.15/22.44 [9001] CLOSURE : ~left_apart_point(A39_559_9, L40_559_9)
% 147.15/22.44
% 147.15/22.44 [8715] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [8749] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [8750] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [8750] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [8749] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [8554] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181))))
% 147.15/22.44 -> [8562] unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.44 -> [8563] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_A8080, skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [8562] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_A8080, skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [8563] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [9787] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [9787] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [9789] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [9790] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [9790] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [9798] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [9799] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [9799] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [9814] ~(left_apart_point(A39_667_9, L40_667_9) | left_apart_point(A39_667_9, reverse_line(L40_667_9)))
% 147.15/22.44
% 147.15/22.44 [9814] ALPHA_NOT_OR : ~(left_apart_point(A39_667_9, L40_667_9) | left_apart_point(A39_667_9, reverse_line(L40_667_9)))
% 147.15/22.44 -> [9817] ~left_apart_point(A39_667_9, L40_667_9), ~left_apart_point(A39_667_9, reverse_line(L40_667_9))
% 147.15/22.44
% 147.15/22.44 [9817] CLOSURE : ~left_apart_point(A39_667_9, L40_667_9)
% 147.15/22.44
% 147.15/22.44 [9798] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [9840] ~(left_apart_point(A39_671_9, L40_671_9) | left_apart_point(A39_671_9, reverse_line(L40_671_9)))
% 147.15/22.44
% 147.15/22.44 [9840] ALPHA_NOT_OR : ~(left_apart_point(A39_671_9, L40_671_9) | left_apart_point(A39_671_9, reverse_line(L40_671_9)))
% 147.15/22.44 -> [9844] ~left_apart_point(A39_671_9, L40_671_9), ~left_apart_point(A39_671_9, reverse_line(L40_671_9))
% 147.15/22.44
% 147.15/22.44 [9844] CLOSURE : ~left_apart_point(A39_671_9, L40_671_9)
% 147.15/22.44
% 147.15/22.44 [9789] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [9805] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [9806] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [9806] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [9805] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [162] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.44 -> [182] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [182] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [300] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.44 -> [301] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [301] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [316] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [316] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [323] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.44 -> [324] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [324] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [323] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [300] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.44 -> [314] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.44 -> [315] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [314] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [1362] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1362] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [1411] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.44
% 147.15/22.44 [1411] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.44 -> [1414] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [1415] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.44
% 147.15/22.44 [1414] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1415] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.44 -> [1805] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [1806] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1806] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1805] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [2170] ~distinct_lines(N27_51_3, N27_51_3)
% 147.15/22.44
% 147.15/22.44 [2170] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [2210] (distinct_lines(N27_51_3, N27_51_3) => (distinct_lines(N27_51_3, N27_51_3) | distinct_lines(N27_51_3, N27_51_3)))
% 147.15/22.44
% 147.15/22.44 [2210] BETA_IMPLY : (distinct_lines(N27_51_3, N27_51_3) => (distinct_lines(N27_51_3, N27_51_3) | distinct_lines(N27_51_3, N27_51_3)))
% 147.15/22.44 -> [2211] ~distinct_lines(N27_51_3, N27_51_3)
% 147.15/22.44 -> [2212] (distinct_lines(N27_51_3, N27_51_3) | distinct_lines(N27_51_3, N27_51_3))
% 147.15/22.44
% 147.15/22.44 [2212] BETA_OR : (distinct_lines(N27_51_3, N27_51_3) | distinct_lines(N27_51_3, N27_51_3))
% 147.15/22.44 -> [2214] distinct_lines(N27_51_3, N27_51_3)
% 147.15/22.44 -> [2215] distinct_lines(N27_51_3, N27_51_3)
% 147.15/22.44
% 147.15/22.44 [2215] CLOSURE : distinct_lines(N27_51_3, N27_51_3)
% 147.15/22.44
% 147.15/22.44 [2214] CLOSURE : distinct_lines(N27_51_3, N27_51_3)
% 147.15/22.44
% 147.15/22.44 [2211] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [2315] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [2315] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [2363] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [2363] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878)))
% 147.15/22.44 -> [2364] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.44 -> [2365] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [2364] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [2365] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878))
% 147.15/22.44 -> [3837] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [3838] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [3837] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [3838] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [5670] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44
% 147.15/22.44 [5670] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44 -> [5671] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [5672] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [5671] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [5710] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [5711] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [5711] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [5710] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [5672] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [9882] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [9883] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [9882] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [9904] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [9904] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [9883] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [9887] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [9887] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [10217] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [10217] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [10220] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [10221] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [10221] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [10226] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [10227] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [10226] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [10227] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [10423] ((unequally_directed_lines(skolem_N7979, M38_386_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_386_8))) => (left_convergent_lines(skolem_N7979, M38_386_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_386_8))))
% 147.15/22.44
% 147.15/22.44 [10423] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_386_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_386_8))) => (left_convergent_lines(skolem_N7979, M38_386_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_386_8))))
% 147.15/22.44 -> [10425] ~(unequally_directed_lines(skolem_N7979, M38_386_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_386_8)))
% 147.15/22.44 -> [10426] (left_convergent_lines(skolem_N7979, M38_386_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_386_8)))
% 147.15/22.44
% 147.15/22.44 [10425] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_386_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_386_8)))
% 147.15/22.44 -> [10471] ~unequally_directed_lines(skolem_N7979, M38_386_8)
% 147.15/22.44 -> [10472] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_386_8))
% 147.15/22.44
% 147.15/22.44 [10472] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_386_8))
% 147.15/22.44
% 147.15/22.44 [10471] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_386_8)
% 147.15/22.44
% 147.15/22.44 [10426] BETA_OR : (left_convergent_lines(skolem_N7979, M38_386_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_386_8)))
% 147.15/22.44 -> [10427] left_convergent_lines(skolem_N7979, M38_386_8)
% 147.15/22.44 -> [10428] left_convergent_lines(skolem_N7979, reverse_line(M38_386_8))
% 147.15/22.44
% 147.15/22.44 [10428] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [10542] ~(left_apart_point(A39_757_9, L40_757_9) | left_apart_point(A39_757_9, reverse_line(L40_757_9)))
% 147.15/22.44
% 147.15/22.44 [10542] ALPHA_NOT_OR : ~(left_apart_point(A39_757_9, L40_757_9) | left_apart_point(A39_757_9, reverse_line(L40_757_9)))
% 147.15/22.44 -> [10543] ~left_apart_point(A39_757_9, L40_757_9), ~left_apart_point(A39_757_9, reverse_line(L40_757_9))
% 147.15/22.44
% 147.15/22.44 [10543] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [10677] ~(left_convergent_lines(L41_208_10, M42_208_10) | left_convergent_lines(L41_208_10, reverse_line(M42_208_10)))
% 147.15/22.44
% 147.15/22.44 [10677] ALPHA_NOT_OR : ~(left_convergent_lines(L41_208_10, M42_208_10) | left_convergent_lines(L41_208_10, reverse_line(M42_208_10)))
% 147.15/22.44 -> [10679] ~left_convergent_lines(L41_208_10, M42_208_10), ~left_convergent_lines(L41_208_10, reverse_line(M42_208_10))
% 147.15/22.44
% 147.15/22.44 [10679] CLOSURE : ~left_convergent_lines(L41_208_10, M42_208_10)
% 147.15/22.44
% 147.15/22.44 [10427] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [10555] ~(left_apart_point(A39_758_9, L40_758_9) | left_apart_point(A39_758_9, reverse_line(L40_758_9)))
% 147.15/22.44
% 147.15/22.44 [10555] ALPHA_NOT_OR : ~(left_apart_point(A39_758_9, L40_758_9) | left_apart_point(A39_758_9, reverse_line(L40_758_9)))
% 147.15/22.44 -> [10557] ~left_apart_point(A39_758_9, L40_758_9), ~left_apart_point(A39_758_9, reverse_line(L40_758_9))
% 147.15/22.44
% 147.15/22.44 [10557] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [10685] ~(left_convergent_lines(L41_209_10, M42_209_10) | left_convergent_lines(L41_209_10, reverse_line(M42_209_10)))
% 147.15/22.44
% 147.15/22.44 [10685] ALPHA_NOT_OR : ~(left_convergent_lines(L41_209_10, M42_209_10) | left_convergent_lines(L41_209_10, reverse_line(M42_209_10)))
% 147.15/22.44 -> [10689] ~left_convergent_lines(L41_209_10, M42_209_10), ~left_convergent_lines(L41_209_10, reverse_line(M42_209_10))
% 147.15/22.44
% 147.15/22.44 [10689] CLOSURE : ~left_convergent_lines(L41_209_10, M42_209_10)
% 147.15/22.44
% 147.15/22.44 [10220] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [10288] ~line(skolem_M7878)
% 147.15/22.44 -> [10289] ~line(skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [10289] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [10310] ((unequally_directed_lines(skolem_N7979, M38_379_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_379_8))) => (left_convergent_lines(skolem_N7979, M38_379_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_379_8))))
% 147.15/22.44
% 147.15/22.44 [10310] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_379_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_379_8))) => (left_convergent_lines(skolem_N7979, M38_379_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_379_8))))
% 147.15/22.44 -> [10312] ~(unequally_directed_lines(skolem_N7979, M38_379_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_379_8)))
% 147.15/22.44 -> [10313] (left_convergent_lines(skolem_N7979, M38_379_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_379_8)))
% 147.15/22.44
% 147.15/22.44 [10312] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_379_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_379_8)))
% 147.15/22.44 -> [10334] ~unequally_directed_lines(skolem_N7979, M38_379_8)
% 147.15/22.44 -> [10335] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_379_8))
% 147.15/22.44
% 147.15/22.44 [10335] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_379_8))
% 147.15/22.44
% 147.15/22.44 [10334] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_379_8)
% 147.15/22.44
% 147.15/22.44 [10313] BETA_OR : (left_convergent_lines(skolem_N7979, M38_379_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_379_8)))
% 147.15/22.44 -> [10317] left_convergent_lines(skolem_N7979, M38_379_8)
% 147.15/22.44 -> [10318] left_convergent_lines(skolem_N7979, reverse_line(M38_379_8))
% 147.15/22.44
% 147.15/22.44 [10318] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [10359] ~(left_apart_point(A39_724_9, L40_724_9) | left_apart_point(A39_724_9, reverse_line(L40_724_9)))
% 147.15/22.44
% 147.15/22.44 [10359] ALPHA_NOT_OR : ~(left_apart_point(A39_724_9, L40_724_9) | left_apart_point(A39_724_9, reverse_line(L40_724_9)))
% 147.15/22.44 -> [10360] ~left_apart_point(A39_724_9, L40_724_9), ~left_apart_point(A39_724_9, reverse_line(L40_724_9))
% 147.15/22.44
% 147.15/22.44 [10360] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [10376] ~(left_convergent_lines(L41_191_10, M42_191_10) | left_convergent_lines(L41_191_10, reverse_line(M42_191_10)))
% 147.15/22.44
% 147.15/22.44 [10376] ALPHA_NOT_OR : ~(left_convergent_lines(L41_191_10, M42_191_10) | left_convergent_lines(L41_191_10, reverse_line(M42_191_10)))
% 147.15/22.44 -> [10379] ~left_convergent_lines(L41_191_10, M42_191_10), ~left_convergent_lines(L41_191_10, reverse_line(M42_191_10))
% 147.15/22.44
% 147.15/22.44 [10379] CLOSURE : ~left_convergent_lines(L41_191_10, M42_191_10)
% 147.15/22.44
% 147.15/22.44 [10317] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [10760] ~(left_apart_point(A39_785_9, L40_785_9) | left_apart_point(A39_785_9, reverse_line(L40_785_9)))
% 147.15/22.44
% 147.15/22.44 [10760] ALPHA_NOT_OR : ~(left_apart_point(A39_785_9, L40_785_9) | left_apart_point(A39_785_9, reverse_line(L40_785_9)))
% 147.15/22.44 -> [10763] ~left_apart_point(A39_785_9, L40_785_9), ~left_apart_point(A39_785_9, reverse_line(L40_785_9))
% 147.15/22.44
% 147.15/22.44 [10763] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [10878] ~(left_convergent_lines(L41_211_10, M42_211_10) | left_convergent_lines(L41_211_10, reverse_line(M42_211_10)))
% 147.15/22.44
% 147.15/22.44 [10878] ALPHA_NOT_OR : ~(left_convergent_lines(L41_211_10, M42_211_10) | left_convergent_lines(L41_211_10, reverse_line(M42_211_10)))
% 147.15/22.44 -> [10881] ~left_convergent_lines(L41_211_10, M42_211_10), ~left_convergent_lines(L41_211_10, reverse_line(M42_211_10))
% 147.15/22.44
% 147.15/22.44 [10881] CLOSURE : ~left_convergent_lines(L41_211_10, M42_211_10)
% 147.15/22.44
% 147.15/22.44 [10288] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [10321] ((unequally_directed_lines(skolem_N7979, M38_381_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_381_8))) => (left_convergent_lines(skolem_N7979, M38_381_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_381_8))))
% 147.15/22.44
% 147.15/22.44 [10321] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_381_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_381_8))) => (left_convergent_lines(skolem_N7979, M38_381_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_381_8))))
% 147.15/22.44 -> [10322] ~(unequally_directed_lines(skolem_N7979, M38_381_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_381_8)))
% 147.15/22.44 -> [10323] (left_convergent_lines(skolem_N7979, M38_381_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_381_8)))
% 147.15/22.44
% 147.15/22.44 [10322] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_381_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_381_8)))
% 147.15/22.44 -> [10349] ~unequally_directed_lines(skolem_N7979, M38_381_8)
% 147.15/22.44 -> [10350] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_381_8))
% 147.15/22.44
% 147.15/22.44 [10350] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_381_8))
% 147.15/22.44
% 147.15/22.44 [10349] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_381_8)
% 147.15/22.44
% 147.15/22.44 [10323] BETA_OR : (left_convergent_lines(skolem_N7979, M38_381_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_381_8)))
% 147.15/22.44 -> [10326] left_convergent_lines(skolem_N7979, M38_381_8)
% 147.15/22.44 -> [10327] left_convergent_lines(skolem_N7979, reverse_line(M38_381_8))
% 147.15/22.44
% 147.15/22.44 [10327] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [10496] ~(left_apart_point(A39_752_9, L40_752_9) | left_apart_point(A39_752_9, reverse_line(L40_752_9)))
% 147.15/22.44
% 147.15/22.44 [10496] ALPHA_NOT_OR : ~(left_apart_point(A39_752_9, L40_752_9) | left_apart_point(A39_752_9, reverse_line(L40_752_9)))
% 147.15/22.44 -> [10497] ~left_apart_point(A39_752_9, L40_752_9), ~left_apart_point(A39_752_9, reverse_line(L40_752_9))
% 147.15/22.44
% 147.15/22.44 [10497] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [10613] ~(left_convergent_lines(L41_206_10, M42_206_10) | left_convergent_lines(L41_206_10, reverse_line(M42_206_10)))
% 147.15/22.44
% 147.15/22.44 [10613] ALPHA_NOT_OR : ~(left_convergent_lines(L41_206_10, M42_206_10) | left_convergent_lines(L41_206_10, reverse_line(M42_206_10)))
% 147.15/22.44 -> [10618] ~left_convergent_lines(L41_206_10, M42_206_10), ~left_convergent_lines(L41_206_10, reverse_line(M42_206_10))
% 147.15/22.44
% 147.15/22.44 [10618] CLOSURE : ~left_convergent_lines(L41_206_10, M42_206_10)
% 147.15/22.44
% 147.15/22.44 [10326] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [10450] ~(left_apart_point(A39_743_9, L40_743_9) | left_apart_point(A39_743_9, reverse_line(L40_743_9)))
% 147.15/22.44
% 147.15/22.44 [10450] ALPHA_NOT_OR : ~(left_apart_point(A39_743_9, L40_743_9) | left_apart_point(A39_743_9, reverse_line(L40_743_9)))
% 147.15/22.44 -> [10452] ~left_apart_point(A39_743_9, L40_743_9), ~left_apart_point(A39_743_9, reverse_line(L40_743_9))
% 147.15/22.44
% 147.15/22.44 [10452] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [11071] ~(left_convergent_lines(L41_217_10, M42_217_10) | left_convergent_lines(L41_217_10, reverse_line(M42_217_10)))
% 147.15/22.44
% 147.15/22.44 [11071] ALPHA_NOT_OR : ~(left_convergent_lines(L41_217_10, M42_217_10) | left_convergent_lines(L41_217_10, reverse_line(M42_217_10)))
% 147.15/22.44 -> [11072] ~left_convergent_lines(L41_217_10, M42_217_10), ~left_convergent_lines(L41_217_10, reverse_line(M42_217_10))
% 147.15/22.44
% 147.15/22.44 [11072] CLOSURE : ~left_convergent_lines(L41_217_10, M42_217_10)
% 147.15/22.44
% 147.15/22.44 [315] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.44 -> [327] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [327] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.44 -> [335] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.44 -> [336] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [335] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [794] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [794] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [865] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [865] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44 -> [868] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [869] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [868] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [869] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44 -> [1322] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44 -> [1323] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1322] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1323] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [1529] ~distinct_lines(N27_6_3, N27_6_3)
% 147.15/22.44
% 147.15/22.44 [1529] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [1550] (distinct_lines(N27_6_3, N27_6_3) => (distinct_lines(N27_6_3, N27_6_3) | distinct_lines(N27_6_3, N27_6_3)))
% 147.15/22.44
% 147.15/22.44 [1550] BETA_IMPLY : (distinct_lines(N27_6_3, N27_6_3) => (distinct_lines(N27_6_3, N27_6_3) | distinct_lines(N27_6_3, N27_6_3)))
% 147.15/22.44 -> [1551] ~distinct_lines(N27_6_3, N27_6_3)
% 147.15/22.44 -> [1552] (distinct_lines(N27_6_3, N27_6_3) | distinct_lines(N27_6_3, N27_6_3))
% 147.15/22.44
% 147.15/22.44 [1552] BETA_OR : (distinct_lines(N27_6_3, N27_6_3) | distinct_lines(N27_6_3, N27_6_3))
% 147.15/22.44 -> [1554] distinct_lines(N27_6_3, N27_6_3)
% 147.15/22.44 -> [1555] distinct_lines(N27_6_3, N27_6_3)
% 147.15/22.44
% 147.15/22.44 [1555] CLOSURE : distinct_lines(N27_6_3, N27_6_3)
% 147.15/22.44
% 147.15/22.44 [1554] CLOSURE : distinct_lines(N27_6_3, N27_6_3)
% 147.15/22.44
% 147.15/22.44 [1551] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [1567] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [1567] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [1586] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [1586] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878)))
% 147.15/22.44 -> [1656] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.44 -> [1657] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [1656] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [1657] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878))
% 147.15/22.44 -> [2181] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [2182] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [2181] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [2182] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [3367] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44
% 147.15/22.44 [3367] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44 -> [3369] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [3370] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [3369] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [3394] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [3395] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [3395] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [3394] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [3370] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [5105] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [5106] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [5105] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [5143] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [5143] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [5106] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [5107] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [5107] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [5329] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [5329] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [5330] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [5331] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [5330] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [5366] ~line(skolem_M7878)
% 147.15/22.44 -> [5367] ~line(skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [5367] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [5473] ((unequally_directed_lines(skolem_N7979, M38_94_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_94_8))) => (left_convergent_lines(skolem_N7979, M38_94_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_94_8))))
% 147.15/22.44
% 147.15/22.44 [5473] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_94_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_94_8))) => (left_convergent_lines(skolem_N7979, M38_94_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_94_8))))
% 147.15/22.44 -> [5476] ~(unequally_directed_lines(skolem_N7979, M38_94_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_94_8)))
% 147.15/22.44 -> [5477] (left_convergent_lines(skolem_N7979, M38_94_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_94_8)))
% 147.15/22.44
% 147.15/22.44 [5477] BETA_OR : (left_convergent_lines(skolem_N7979, M38_94_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_94_8)))
% 147.15/22.44 -> [5482] left_convergent_lines(skolem_N7979, M38_94_8)
% 147.15/22.44 -> [5483] left_convergent_lines(skolem_N7979, reverse_line(M38_94_8))
% 147.15/22.44
% 147.15/22.44 [5482] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5640] ~(left_apart_point(A39_183_9, L40_183_9) | left_apart_point(A39_183_9, reverse_line(L40_183_9)))
% 147.15/22.44
% 147.15/22.44 [5640] ALPHA_NOT_OR : ~(left_apart_point(A39_183_9, L40_183_9) | left_apart_point(A39_183_9, reverse_line(L40_183_9)))
% 147.15/22.44 -> [5642] ~left_apart_point(A39_183_9, L40_183_9), ~left_apart_point(A39_183_9, reverse_line(L40_183_9))
% 147.15/22.44
% 147.15/22.44 [5642] CLOSURE : ~left_apart_point(A39_183_9, L40_183_9)
% 147.15/22.44
% 147.15/22.44 [5483] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5645] ~(left_apart_point(A39_185_9, L40_185_9) | left_apart_point(A39_185_9, reverse_line(L40_185_9)))
% 147.15/22.44
% 147.15/22.44 [5645] ALPHA_NOT_OR : ~(left_apart_point(A39_185_9, L40_185_9) | left_apart_point(A39_185_9, reverse_line(L40_185_9)))
% 147.15/22.44 -> [5646] ~left_apart_point(A39_185_9, L40_185_9), ~left_apart_point(A39_185_9, reverse_line(L40_185_9))
% 147.15/22.44
% 147.15/22.44 [5646] CLOSURE : ~left_apart_point(A39_185_9, L40_185_9)
% 147.15/22.44
% 147.15/22.44 [5476] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_94_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_94_8)))
% 147.15/22.44 -> [5523] ~unequally_directed_lines(skolem_N7979, M38_94_8)
% 147.15/22.44 -> [5524] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_94_8))
% 147.15/22.44
% 147.15/22.44 [5524] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_94_8))
% 147.15/22.44
% 147.15/22.44 [5523] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_94_8)
% 147.15/22.44
% 147.15/22.44 [5366] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [5509] ((unequally_directed_lines(skolem_N7979, M38_98_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_98_8))) => (left_convergent_lines(skolem_N7979, M38_98_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_98_8))))
% 147.15/22.44
% 147.15/22.44 [5509] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_98_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_98_8))) => (left_convergent_lines(skolem_N7979, M38_98_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_98_8))))
% 147.15/22.44 -> [5510] ~(unequally_directed_lines(skolem_N7979, M38_98_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_98_8)))
% 147.15/22.44 -> [5511] (left_convergent_lines(skolem_N7979, M38_98_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_98_8)))
% 147.15/22.44
% 147.15/22.44 [5511] BETA_OR : (left_convergent_lines(skolem_N7979, M38_98_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_98_8)))
% 147.15/22.44 -> [5518] left_convergent_lines(skolem_N7979, M38_98_8)
% 147.15/22.44 -> [5519] left_convergent_lines(skolem_N7979, reverse_line(M38_98_8))
% 147.15/22.44
% 147.15/22.44 [5519] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5630] ~(left_apart_point(A39_179_9, L40_179_9) | left_apart_point(A39_179_9, reverse_line(L40_179_9)))
% 147.15/22.44
% 147.15/22.44 [5630] ALPHA_NOT_OR : ~(left_apart_point(A39_179_9, L40_179_9) | left_apart_point(A39_179_9, reverse_line(L40_179_9)))
% 147.15/22.44 -> [5631] ~left_apart_point(A39_179_9, L40_179_9), ~left_apart_point(A39_179_9, reverse_line(L40_179_9))
% 147.15/22.44
% 147.15/22.44 [5631] CLOSURE : ~left_apart_point(A39_179_9, L40_179_9)
% 147.15/22.44
% 147.15/22.44 [5518] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5658] ~(left_apart_point(A39_188_9, L40_188_9) | left_apart_point(A39_188_9, reverse_line(L40_188_9)))
% 147.15/22.44
% 147.15/22.44 [5658] ALPHA_NOT_OR : ~(left_apart_point(A39_188_9, L40_188_9) | left_apart_point(A39_188_9, reverse_line(L40_188_9)))
% 147.15/22.44 -> [5660] ~left_apart_point(A39_188_9, L40_188_9), ~left_apart_point(A39_188_9, reverse_line(L40_188_9))
% 147.15/22.44
% 147.15/22.44 [5660] CLOSURE : ~left_apart_point(A39_188_9, L40_188_9)
% 147.15/22.44
% 147.15/22.44 [5510] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_98_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_98_8)))
% 147.15/22.44 -> [5558] ~unequally_directed_lines(skolem_N7979, M38_98_8)
% 147.15/22.44 -> [5559] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_98_8))
% 147.15/22.44
% 147.15/22.44 [5559] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_98_8))
% 147.15/22.44
% 147.15/22.44 [5558] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_98_8)
% 147.15/22.44
% 147.15/22.44 [5331] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [5334] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [5335] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [5334] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [5335] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [5485] ((unequally_directed_lines(skolem_N7979, M38_95_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_95_8))) => (left_convergent_lines(skolem_N7979, M38_95_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_95_8))))
% 147.15/22.44
% 147.15/22.44 [5485] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_95_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_95_8))) => (left_convergent_lines(skolem_N7979, M38_95_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_95_8))))
% 147.15/22.44 -> [5486] ~(unequally_directed_lines(skolem_N7979, M38_95_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_95_8)))
% 147.15/22.44 -> [5487] (left_convergent_lines(skolem_N7979, M38_95_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_95_8)))
% 147.15/22.44
% 147.15/22.44 [5487] BETA_OR : (left_convergent_lines(skolem_N7979, M38_95_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_95_8)))
% 147.15/22.44 -> [5488] left_convergent_lines(skolem_N7979, M38_95_8)
% 147.15/22.44 -> [5489] left_convergent_lines(skolem_N7979, reverse_line(M38_95_8))
% 147.15/22.44
% 147.15/22.44 [5489] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5643] ~(left_apart_point(A39_184_9, L40_184_9) | left_apart_point(A39_184_9, reverse_line(L40_184_9)))
% 147.15/22.44
% 147.15/22.44 [5643] ALPHA_NOT_OR : ~(left_apart_point(A39_184_9, L40_184_9) | left_apart_point(A39_184_9, reverse_line(L40_184_9)))
% 147.15/22.44 -> [5644] ~left_apart_point(A39_184_9, L40_184_9), ~left_apart_point(A39_184_9, reverse_line(L40_184_9))
% 147.15/22.44
% 147.15/22.44 [5644] CLOSURE : ~left_apart_point(A39_184_9, L40_184_9)
% 147.15/22.44
% 147.15/22.44 [5488] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [5649] ~(left_apart_point(A39_187_9, L40_187_9) | left_apart_point(A39_187_9, reverse_line(L40_187_9)))
% 147.15/22.44
% 147.15/22.44 [5649] ALPHA_NOT_OR : ~(left_apart_point(A39_187_9, L40_187_9) | left_apart_point(A39_187_9, reverse_line(L40_187_9)))
% 147.15/22.44 -> [5650] ~left_apart_point(A39_187_9, L40_187_9), ~left_apart_point(A39_187_9, reverse_line(L40_187_9))
% 147.15/22.44
% 147.15/22.44 [5650] CLOSURE : ~left_apart_point(A39_187_9, L40_187_9)
% 147.15/22.44
% 147.15/22.44 [5486] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_95_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_95_8)))
% 147.15/22.44 -> [5531] ~unequally_directed_lines(skolem_N7979, M38_95_8)
% 147.15/22.44 -> [5532] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_95_8))
% 147.15/22.44
% 147.15/22.44 [5532] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_95_8))
% 147.15/22.44
% 147.15/22.44 [5531] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_95_8)
% 147.15/22.44
% 147.15/22.44 [336] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [1056] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1056] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [1133] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [1133] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44 -> [1136] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [1137] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [1136] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1137] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44 -> [2232] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44 -> [2233] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [2232] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [2233] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [3009] ~distinct_lines(M26_93_3, M26_93_3)
% 147.15/22.44
% 147.15/22.44 [3009] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [3049] (distinct_lines(M26_93_3, M26_93_3) => (distinct_lines(M26_93_3, M26_93_3) | distinct_lines(M26_93_3, M26_93_3)))
% 147.15/22.44
% 147.15/22.44 [3049] BETA_IMPLY : (distinct_lines(M26_93_3, M26_93_3) => (distinct_lines(M26_93_3, M26_93_3) | distinct_lines(M26_93_3, M26_93_3)))
% 147.15/22.44 -> [3052] ~distinct_lines(M26_93_3, M26_93_3)
% 147.15/22.44 -> [3053] (distinct_lines(M26_93_3, M26_93_3) | distinct_lines(M26_93_3, M26_93_3))
% 147.15/22.44
% 147.15/22.44 [3053] BETA_OR : (distinct_lines(M26_93_3, M26_93_3) | distinct_lines(M26_93_3, M26_93_3))
% 147.15/22.44 -> [3054] distinct_lines(M26_93_3, M26_93_3)
% 147.15/22.44 -> [3055] distinct_lines(M26_93_3, M26_93_3)
% 147.15/22.44
% 147.15/22.44 [3054] CLOSURE : distinct_lines(M26_93_3, M26_93_3)
% 147.15/22.44
% 147.15/22.44 [3055] CLOSURE : distinct_lines(M26_93_3, M26_93_3)
% 147.15/22.44
% 147.15/22.44 [3052] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [3156] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [3156] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [3297] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [3297] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878)))
% 147.15/22.44 -> [3298] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.44 -> [3299] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [3298] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [3299] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878))
% 147.15/22.44 -> [6444] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [6445] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [6444] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [6445] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [7636] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44
% 147.15/22.44 [7636] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44 -> [7641] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [7642] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [7641] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [7688] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [7689] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [7689] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [7688] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [7642] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [11045] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [11046] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [11045] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [11075] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [11075] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [11046] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [11049] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [11049] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [11161] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [11161] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [11162] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [11163] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [11163] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [11171] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [11172] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [11171] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [11172] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [11234] ((unequally_directed_lines(skolem_N7979, M38_433_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_433_8))) => (left_convergent_lines(skolem_N7979, M38_433_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_433_8))))
% 147.15/22.44
% 147.15/22.44 [11234] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_433_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_433_8))) => (left_convergent_lines(skolem_N7979, M38_433_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_433_8))))
% 147.15/22.44 -> [11239] ~(unequally_directed_lines(skolem_N7979, M38_433_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_433_8)))
% 147.15/22.44 -> [11240] (left_convergent_lines(skolem_N7979, M38_433_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_433_8)))
% 147.15/22.44
% 147.15/22.44 [11239] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_433_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_433_8)))
% 147.15/22.44 -> [11258] ~unequally_directed_lines(skolem_N7979, M38_433_8)
% 147.15/22.44 -> [11259] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_433_8))
% 147.15/22.44
% 147.15/22.44 [11259] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_433_8))
% 147.15/22.44
% 147.15/22.44 [11258] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_433_8)
% 147.15/22.44
% 147.15/22.44 [11240] BETA_OR : (left_convergent_lines(skolem_N7979, M38_433_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_433_8)))
% 147.15/22.44 -> [11245] left_convergent_lines(skolem_N7979, M38_433_8)
% 147.15/22.44 -> [11246] left_convergent_lines(skolem_N7979, reverse_line(M38_433_8))
% 147.15/22.44
% 147.15/22.44 [11245] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [11385] ~(left_apart_point(A39_862_9, L40_862_9) | left_apart_point(A39_862_9, reverse_line(L40_862_9)))
% 147.15/22.44
% 147.15/22.44 [11385] ALPHA_NOT_OR : ~(left_apart_point(A39_862_9, L40_862_9) | left_apart_point(A39_862_9, reverse_line(L40_862_9)))
% 147.15/22.44 -> [11390] ~left_apart_point(A39_862_9, L40_862_9), ~left_apart_point(A39_862_9, reverse_line(L40_862_9))
% 147.15/22.44
% 147.15/22.44 [11390] CLOSURE : ~left_apart_point(A39_862_9, L40_862_9)
% 147.15/22.44
% 147.15/22.44 [11246] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [11337] ~(left_apart_point(A39_851_9, L40_851_9) | left_apart_point(A39_851_9, reverse_line(L40_851_9)))
% 147.15/22.44
% 147.15/22.44 [11337] ALPHA_NOT_OR : ~(left_apart_point(A39_851_9, L40_851_9) | left_apart_point(A39_851_9, reverse_line(L40_851_9)))
% 147.15/22.44 -> [11340] ~left_apart_point(A39_851_9, L40_851_9), ~left_apart_point(A39_851_9, reverse_line(L40_851_9))
% 147.15/22.44
% 147.15/22.44 [11340] CLOSURE : ~left_apart_point(A39_851_9, L40_851_9)
% 147.15/22.44
% 147.15/22.44 [11162] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [11184] ~line(skolem_M7878)
% 147.15/22.44 -> [11185] ~line(skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [11185] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [11598] ((unequally_directed_lines(skolem_N7979, M38_458_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_458_8))) => (left_convergent_lines(skolem_N7979, M38_458_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_458_8))))
% 147.15/22.44
% 147.15/22.44 [11598] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_458_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_458_8))) => (left_convergent_lines(skolem_N7979, M38_458_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_458_8))))
% 147.15/22.44 -> [11601] ~(unequally_directed_lines(skolem_N7979, M38_458_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_458_8)))
% 147.15/22.44 -> [11602] (left_convergent_lines(skolem_N7979, M38_458_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_458_8)))
% 147.15/22.44
% 147.15/22.44 [11602] BETA_OR : (left_convergent_lines(skolem_N7979, M38_458_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_458_8)))
% 147.15/22.44 -> [11605] left_convergent_lines(skolem_N7979, M38_458_8)
% 147.15/22.44 -> [11606] left_convergent_lines(skolem_N7979, reverse_line(M38_458_8))
% 147.15/22.44
% 147.15/22.44 [11606] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [11903] ~(left_apart_point(A39_917_9, L40_917_9) | left_apart_point(A39_917_9, reverse_line(L40_917_9)))
% 147.15/22.44
% 147.15/22.44 [11903] ALPHA_NOT_OR : ~(left_apart_point(A39_917_9, L40_917_9) | left_apart_point(A39_917_9, reverse_line(L40_917_9)))
% 147.15/22.44 -> [11907] ~left_apart_point(A39_917_9, L40_917_9), ~left_apart_point(A39_917_9, reverse_line(L40_917_9))
% 147.15/22.44
% 147.15/22.44 [11907] CLOSURE : ~left_apart_point(A39_917_9, L40_917_9)
% 147.15/22.44
% 147.15/22.44 [11605] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [11935] ~(left_apart_point(A39_923_9, L40_923_9) | left_apart_point(A39_923_9, reverse_line(L40_923_9)))
% 147.15/22.44
% 147.15/22.44 [11935] ALPHA_NOT_OR : ~(left_apart_point(A39_923_9, L40_923_9) | left_apart_point(A39_923_9, reverse_line(L40_923_9)))
% 147.15/22.44 -> [11938] ~left_apart_point(A39_923_9, L40_923_9), ~left_apart_point(A39_923_9, reverse_line(L40_923_9))
% 147.15/22.44
% 147.15/22.44 [11938] CLOSURE : ~left_apart_point(A39_923_9, L40_923_9)
% 147.15/22.44
% 147.15/22.44 [11601] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_458_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_458_8)))
% 147.15/22.44 -> [11646] ~unequally_directed_lines(skolem_N7979, M38_458_8)
% 147.15/22.44 -> [11647] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_458_8))
% 147.15/22.44
% 147.15/22.44 [11647] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_458_8))
% 147.15/22.44
% 147.15/22.44 [11646] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_458_8)
% 147.15/22.44
% 147.15/22.44 [11184] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [11527] ((unequally_directed_lines(skolem_N7979, M38_453_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_453_8))) => (left_convergent_lines(skolem_N7979, M38_453_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_453_8))))
% 147.15/22.44
% 147.15/22.44 [11527] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_453_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_453_8))) => (left_convergent_lines(skolem_N7979, M38_453_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_453_8))))
% 147.15/22.44 -> [11528] ~(unequally_directed_lines(skolem_N7979, M38_453_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_453_8)))
% 147.15/22.44 -> [11529] (left_convergent_lines(skolem_N7979, M38_453_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_453_8)))
% 147.15/22.44
% 147.15/22.44 [11528] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_453_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_453_8)))
% 147.15/22.44 -> [11580] ~unequally_directed_lines(skolem_N7979, M38_453_8)
% 147.15/22.44 -> [11581] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_453_8))
% 147.15/22.44
% 147.15/22.44 [11580] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_453_8)
% 147.15/22.44
% 147.15/22.44 [11581] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_453_8))
% 147.15/22.44
% 147.15/22.44 [11529] BETA_OR : (left_convergent_lines(skolem_N7979, M38_453_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_453_8)))
% 147.15/22.44 -> [11532] left_convergent_lines(skolem_N7979, M38_453_8)
% 147.15/22.44 -> [11533] left_convergent_lines(skolem_N7979, reverse_line(M38_453_8))
% 147.15/22.44
% 147.15/22.44 [11532] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12230] ~(left_apart_point(A39_984_9, L40_984_9) | left_apart_point(A39_984_9, reverse_line(L40_984_9)))
% 147.15/22.44
% 147.15/22.44 [12230] ALPHA_NOT_OR : ~(left_apart_point(A39_984_9, L40_984_9) | left_apart_point(A39_984_9, reverse_line(L40_984_9)))
% 147.15/22.44 -> [12231] ~left_apart_point(A39_984_9, L40_984_9), ~left_apart_point(A39_984_9, reverse_line(L40_984_9))
% 147.15/22.44
% 147.15/22.44 [12231] CLOSURE : ~left_apart_point(A39_984_9, L40_984_9)
% 147.15/22.44
% 147.15/22.44 [11533] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12223] ~(left_apart_point(A39_982_9, L40_982_9) | left_apart_point(A39_982_9, reverse_line(L40_982_9)))
% 147.15/22.44
% 147.15/22.44 [12223] ALPHA_NOT_OR : ~(left_apart_point(A39_982_9, L40_982_9) | left_apart_point(A39_982_9, reverse_line(L40_982_9)))
% 147.15/22.44 -> [12226] ~left_apart_point(A39_982_9, L40_982_9), ~left_apart_point(A39_982_9, reverse_line(L40_982_9))
% 147.15/22.44
% 147.15/22.44 [12226] CLOSURE : ~left_apart_point(A39_982_9, L40_982_9)
% 147.15/22.44
% 147.15/22.44 [149] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [158] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [158] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.44 -> [695] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [696] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [696] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.44 -> [699] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [699] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [758] ~distinct_points(C23_26_1, C23_26_1)
% 147.15/22.44
% 147.15/22.44 [758] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [775] (distinct_points(C23_26_1, C23_26_1) => (distinct_points(C23_26_1, C23_26_1) | distinct_points(C23_26_1, C23_26_1)))
% 147.15/22.44
% 147.15/22.44 [775] BETA_IMPLY : (distinct_points(C23_26_1, C23_26_1) => (distinct_points(C23_26_1, C23_26_1) | distinct_points(C23_26_1, C23_26_1)))
% 147.15/22.44 -> [776] ~distinct_points(C23_26_1, C23_26_1)
% 147.15/22.44 -> [777] (distinct_points(C23_26_1, C23_26_1) | distinct_points(C23_26_1, C23_26_1))
% 147.15/22.44
% 147.15/22.44 [777] BETA_OR : (distinct_points(C23_26_1, C23_26_1) | distinct_points(C23_26_1, C23_26_1))
% 147.15/22.44 -> [781] distinct_points(C23_26_1, C23_26_1)
% 147.15/22.44 -> [782] distinct_points(C23_26_1, C23_26_1)
% 147.15/22.44
% 147.15/22.44 [781] CLOSURE : distinct_points(C23_26_1, C23_26_1)
% 147.15/22.44
% 147.15/22.44 [782] CLOSURE : distinct_points(C23_26_1, C23_26_1)
% 147.15/22.44
% 147.15/22.44 [776] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [1803] ~distinct_lines(N27_25_3, N27_25_3)
% 147.15/22.44
% 147.15/22.44 [1803] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [1813] (distinct_lines(N27_25_3, N27_25_3) => (distinct_lines(N27_25_3, N27_25_3) | distinct_lines(N27_25_3, N27_25_3)))
% 147.15/22.44
% 147.15/22.44 [1813] BETA_IMPLY : (distinct_lines(N27_25_3, N27_25_3) => (distinct_lines(N27_25_3, N27_25_3) | distinct_lines(N27_25_3, N27_25_3)))
% 147.15/22.44 -> [1814] ~distinct_lines(N27_25_3, N27_25_3)
% 147.15/22.44 -> [1815] (distinct_lines(N27_25_3, N27_25_3) | distinct_lines(N27_25_3, N27_25_3))
% 147.15/22.44
% 147.15/22.44 [1815] BETA_OR : (distinct_lines(N27_25_3, N27_25_3) | distinct_lines(N27_25_3, N27_25_3))
% 147.15/22.44 -> [1816] distinct_lines(N27_25_3, N27_25_3)
% 147.15/22.44 -> [1817] distinct_lines(N27_25_3, N27_25_3)
% 147.15/22.44
% 147.15/22.44 [1816] CLOSURE : distinct_lines(N27_25_3, N27_25_3)
% 147.15/22.44
% 147.15/22.44 [1817] CLOSURE : distinct_lines(N27_25_3, N27_25_3)
% 147.15/22.44
% 147.15/22.44 [1814] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [1930] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [1930] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [1996] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [1996] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 147.15/22.44 -> [1997] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [1998] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [1997] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [1998] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 147.15/22.44 -> [4642] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [4643] unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [4642] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [4643] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [7358] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44
% 147.15/22.44 [7358] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44 -> [7362] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [7363] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [7362] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [7383] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [7384] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [7384] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [7383] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [7363] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [9900] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [9901] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [9900] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [9907] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [9907] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [9901] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [9905] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [9905] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [9927] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [9927] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [9930] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [9931] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [9931] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [9936] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [9937] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [9936] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [9937] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [10060] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [10060] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44 -> [10061] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [10062] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [10061] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [10149] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [10150] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [10150] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [10149] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [10062] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [10067] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [10068] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [10067] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [10286] ~(left_apart_point(A39_718_9, L40_718_9) | left_apart_point(A39_718_9, reverse_line(L40_718_9)))
% 147.15/22.44
% 147.15/22.44 [10286] ALPHA_NOT_OR : ~(left_apart_point(A39_718_9, L40_718_9) | left_apart_point(A39_718_9, reverse_line(L40_718_9)))
% 147.15/22.44 -> [10287] ~left_apart_point(A39_718_9, L40_718_9), ~left_apart_point(A39_718_9, reverse_line(L40_718_9))
% 147.15/22.44
% 147.15/22.44 [10287] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [10433] ~(left_convergent_lines(L41_195_10, M42_195_10) | left_convergent_lines(L41_195_10, reverse_line(M42_195_10)))
% 147.15/22.44
% 147.15/22.44 [10433] ALPHA_NOT_OR : ~(left_convergent_lines(L41_195_10, M42_195_10) | left_convergent_lines(L41_195_10, reverse_line(M42_195_10)))
% 147.15/22.44 -> [10434] ~left_convergent_lines(L41_195_10, M42_195_10), ~left_convergent_lines(L41_195_10, reverse_line(M42_195_10))
% 147.15/22.44
% 147.15/22.44 [10434] CLOSURE : ~left_convergent_lines(L41_195_10, M42_195_10)
% 147.15/22.44
% 147.15/22.44 [10068] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [10255] ~(left_apart_point(A39_711_9, L40_711_9) | left_apart_point(A39_711_9, reverse_line(L40_711_9)))
% 147.15/22.44
% 147.15/22.44 [10255] ALPHA_NOT_OR : ~(left_apart_point(A39_711_9, L40_711_9) | left_apart_point(A39_711_9, reverse_line(L40_711_9)))
% 147.15/22.44 -> [10256] ~left_apart_point(A39_711_9, L40_711_9), ~left_apart_point(A39_711_9, reverse_line(L40_711_9))
% 147.15/22.44
% 147.15/22.44 [10256] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [10392] ~(left_convergent_lines(L41_192_10, M42_192_10) | left_convergent_lines(L41_192_10, reverse_line(M42_192_10)))
% 147.15/22.44
% 147.15/22.44 [10392] ALPHA_NOT_OR : ~(left_convergent_lines(L41_192_10, M42_192_10) | left_convergent_lines(L41_192_10, reverse_line(M42_192_10)))
% 147.15/22.44 -> [10393] ~left_convergent_lines(L41_192_10, M42_192_10), ~left_convergent_lines(L41_192_10, reverse_line(M42_192_10))
% 147.15/22.44
% 147.15/22.44 [10393] CLOSURE : ~left_convergent_lines(L41_192_10, M42_192_10)
% 147.15/22.44
% 147.15/22.44 [9930] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [9946] ~line(skolem_M7878)
% 147.15/22.44 -> [9947] ~line(skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [9947] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [9983] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [9983] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44 -> [9987] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [9988] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [9987] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [10020] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [10021] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [10021] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [10020] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [9988] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [9991] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [9992] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [9991] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [10178] ~(left_apart_point(A39_705_9, L40_705_9) | left_apart_point(A39_705_9, reverse_line(L40_705_9)))
% 147.15/22.44
% 147.15/22.44 [10178] ALPHA_NOT_OR : ~(left_apart_point(A39_705_9, L40_705_9) | left_apart_point(A39_705_9, reverse_line(L40_705_9)))
% 147.15/22.44 -> [10181] ~left_apart_point(A39_705_9, L40_705_9), ~left_apart_point(A39_705_9, reverse_line(L40_705_9))
% 147.15/22.44
% 147.15/22.44 [10181] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [10525] ~(left_convergent_lines(L41_200_10, M42_200_10) | left_convergent_lines(L41_200_10, reverse_line(M42_200_10)))
% 147.15/22.44
% 147.15/22.44 [10525] ALPHA_NOT_OR : ~(left_convergent_lines(L41_200_10, M42_200_10) | left_convergent_lines(L41_200_10, reverse_line(M42_200_10)))
% 147.15/22.44 -> [10527] ~left_convergent_lines(L41_200_10, M42_200_10), ~left_convergent_lines(L41_200_10, reverse_line(M42_200_10))
% 147.15/22.44
% 147.15/22.44 [10527] CLOSURE : ~left_convergent_lines(L41_200_10, M42_200_10)
% 147.15/22.44
% 147.15/22.44 [9992] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [10139] ~(left_apart_point(A39_702_9, L40_702_9) | left_apart_point(A39_702_9, reverse_line(L40_702_9)))
% 147.15/22.44
% 147.15/22.44 [10139] ALPHA_NOT_OR : ~(left_apart_point(A39_702_9, L40_702_9) | left_apart_point(A39_702_9, reverse_line(L40_702_9)))
% 147.15/22.44 -> [10142] ~left_apart_point(A39_702_9, L40_702_9), ~left_apart_point(A39_702_9, reverse_line(L40_702_9))
% 147.15/22.44
% 147.15/22.44 [10142] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [10544] ~(left_convergent_lines(L41_203_10, M42_203_10) | left_convergent_lines(L41_203_10, reverse_line(M42_203_10)))
% 147.15/22.44
% 147.15/22.44 [10544] ALPHA_NOT_OR : ~(left_convergent_lines(L41_203_10, M42_203_10) | left_convergent_lines(L41_203_10, reverse_line(M42_203_10)))
% 147.15/22.44 -> [10545] ~left_convergent_lines(L41_203_10, M42_203_10), ~left_convergent_lines(L41_203_10, reverse_line(M42_203_10))
% 147.15/22.44
% 147.15/22.44 [10545] CLOSURE : ~left_convergent_lines(L41_203_10, M42_203_10)
% 147.15/22.44
% 147.15/22.44 [9946] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [10001] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [10001] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44 -> [10002] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [10003] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [10002] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [10044] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [10045] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [10045] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [10044] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [10003] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [10008] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [10009] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [10008] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [10233] ~(left_apart_point(A39_707_9, L40_707_9) | left_apart_point(A39_707_9, reverse_line(L40_707_9)))
% 147.15/22.44
% 147.15/22.44 [10233] ALPHA_NOT_OR : ~(left_apart_point(A39_707_9, L40_707_9) | left_apart_point(A39_707_9, reverse_line(L40_707_9)))
% 147.15/22.44 -> [10235] ~left_apart_point(A39_707_9, L40_707_9), ~left_apart_point(A39_707_9, reverse_line(L40_707_9))
% 147.15/22.44
% 147.15/22.44 [10235] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [10511] ~(left_convergent_lines(L41_199_10, M42_199_10) | left_convergent_lines(L41_199_10, reverse_line(M42_199_10)))
% 147.15/22.44
% 147.15/22.44 [10511] ALPHA_NOT_OR : ~(left_convergent_lines(L41_199_10, M42_199_10) | left_convergent_lines(L41_199_10, reverse_line(M42_199_10)))
% 147.15/22.44 -> [10512] ~left_convergent_lines(L41_199_10, M42_199_10), ~left_convergent_lines(L41_199_10, reverse_line(M42_199_10))
% 147.15/22.44
% 147.15/22.44 [10512] CLOSURE : ~left_convergent_lines(L41_199_10, M42_199_10)
% 147.15/22.44
% 147.15/22.44 [10009] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [10166] ~(left_apart_point(A39_704_9, L40_704_9) | left_apart_point(A39_704_9, reverse_line(L40_704_9)))
% 147.15/22.44
% 147.15/22.44 [10166] ALPHA_NOT_OR : ~(left_apart_point(A39_704_9, L40_704_9) | left_apart_point(A39_704_9, reverse_line(L40_704_9)))
% 147.15/22.44 -> [10169] ~left_apart_point(A39_704_9, L40_704_9), ~left_apart_point(A39_704_9, reverse_line(L40_704_9))
% 147.15/22.44
% 147.15/22.44 [10169] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [10706] ~(left_convergent_lines(L41_210_10, M42_210_10) | left_convergent_lines(L41_210_10, reverse_line(M42_210_10)))
% 147.15/22.44
% 147.15/22.44 [10706] ALPHA_NOT_OR : ~(left_convergent_lines(L41_210_10, M42_210_10) | left_convergent_lines(L41_210_10, reverse_line(M42_210_10)))
% 147.15/22.44 -> [10707] ~left_convergent_lines(L41_210_10, M42_210_10), ~left_convergent_lines(L41_210_10, reverse_line(M42_210_10))
% 147.15/22.44
% 147.15/22.44 [10707] CLOSURE : ~left_convergent_lines(L41_210_10, M42_210_10)
% 147.15/22.44
% 147.15/22.44 [695] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [710] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.44 -> [711] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [711] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [720] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [720] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [723] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.44 -> [724] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [723] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [724] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [710] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.44 -> [731] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.15/22.44 -> [732] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [731] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [1102] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1102] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [1510] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [1510] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44 -> [1511] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [1512] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [1511] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1512] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44 -> [3068] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44 -> [3069] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [3068] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [3069] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [3819] ~distinct_lines(N27_121_3, N27_121_3)
% 147.15/22.44
% 147.15/22.44 [3819] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [3934] (distinct_lines(N27_121_3, N27_121_3) => (distinct_lines(N27_121_3, N27_121_3) | distinct_lines(N27_121_3, N27_121_3)))
% 147.15/22.44
% 147.15/22.44 [3934] BETA_IMPLY : (distinct_lines(N27_121_3, N27_121_3) => (distinct_lines(N27_121_3, N27_121_3) | distinct_lines(N27_121_3, N27_121_3)))
% 147.15/22.44 -> [3935] ~distinct_lines(N27_121_3, N27_121_3)
% 147.15/22.44 -> [3936] (distinct_lines(N27_121_3, N27_121_3) | distinct_lines(N27_121_3, N27_121_3))
% 147.15/22.44
% 147.15/22.44 [3936] BETA_OR : (distinct_lines(N27_121_3, N27_121_3) | distinct_lines(N27_121_3, N27_121_3))
% 147.15/22.44 -> [3937] distinct_lines(N27_121_3, N27_121_3)
% 147.15/22.44 -> [3938] distinct_lines(N27_121_3, N27_121_3)
% 147.15/22.44
% 147.15/22.44 [3938] CLOSURE : distinct_lines(N27_121_3, N27_121_3)
% 147.15/22.44
% 147.15/22.44 [3937] CLOSURE : distinct_lines(N27_121_3, N27_121_3)
% 147.15/22.44
% 147.15/22.44 [3935] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [4143] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [4143] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [4439] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44
% 147.15/22.44 [4439] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44 -> [4440] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [4441] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [4440] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [4441] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [6048] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [6049] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [6049] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [6048] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [7477] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_101_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_101_6))) | (unequally_directed_lines(skolem_N7979, N34_101_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_101_6)))))
% 147.15/22.44
% 147.15/22.44 [7477] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_101_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_101_6))) | (unequally_directed_lines(skolem_N7979, N34_101_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_101_6)))))
% 147.15/22.44 -> [7481] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [7482] ((unequally_directed_lines(skolem_M7878, N34_101_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_101_6))) | (unequally_directed_lines(skolem_N7979, N34_101_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_101_6))))
% 147.15/22.44
% 147.15/22.44 [7481] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [7503] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [7504] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [7504] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [7503] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [7482] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_101_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_101_6))) | (unequally_directed_lines(skolem_N7979, N34_101_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_101_6))))
% 147.15/22.44 -> [11540] (unequally_directed_lines(skolem_M7878, N34_101_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_101_6)))
% 147.15/22.44 -> [11541] (unequally_directed_lines(skolem_N7979, N34_101_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_101_6)))
% 147.15/22.44
% 147.15/22.44 [11541] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_101_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_101_6)))
% 147.15/22.44 -> [11542] unequally_directed_lines(skolem_N7979, N34_101_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_101_6))
% 147.15/22.44
% 147.15/22.44 [11542] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [11665] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.44
% 147.15/22.44 [11665] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.44 -> [11670] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [11671] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44
% 147.15/22.44 [11671] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44 -> [11673] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [11674] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [11673] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [11674] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [12019] ((unequally_directed_lines(skolem_N7979, M38_497_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_497_8))) => (left_convergent_lines(skolem_N7979, M38_497_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_497_8))))
% 147.15/22.44
% 147.15/22.44 [12019] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_497_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_497_8))) => (left_convergent_lines(skolem_N7979, M38_497_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_497_8))))
% 147.15/22.44 -> [12020] ~(unequally_directed_lines(skolem_N7979, M38_497_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_497_8)))
% 147.15/22.44 -> [12021] (left_convergent_lines(skolem_N7979, M38_497_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_497_8)))
% 147.15/22.44
% 147.15/22.44 [12020] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_497_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_497_8)))
% 147.15/22.44 -> [12031] ~unequally_directed_lines(skolem_N7979, M38_497_8)
% 147.15/22.44 -> [12032] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_497_8))
% 147.15/22.44
% 147.15/22.44 [12032] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_497_8))
% 147.15/22.44
% 147.15/22.44 [12031] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_497_8)
% 147.15/22.44
% 147.15/22.44 [12021] BETA_OR : (left_convergent_lines(skolem_N7979, M38_497_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_497_8)))
% 147.15/22.44 -> [12024] left_convergent_lines(skolem_N7979, M38_497_8)
% 147.15/22.44 -> [12025] left_convergent_lines(skolem_N7979, reverse_line(M38_497_8))
% 147.15/22.44
% 147.15/22.44 [12025] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12049] ~(left_apart_point(A39_941_9, L40_941_9) | left_apart_point(A39_941_9, reverse_line(L40_941_9)))
% 147.15/22.44
% 147.15/22.44 [12049] ALPHA_NOT_OR : ~(left_apart_point(A39_941_9, L40_941_9) | left_apart_point(A39_941_9, reverse_line(L40_941_9)))
% 147.15/22.44 -> [12051] ~left_apart_point(A39_941_9, L40_941_9), ~left_apart_point(A39_941_9, reverse_line(L40_941_9))
% 147.15/22.44
% 147.15/22.44 [12051] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [12131] ~(left_convergent_lines(L41_248_10, M42_248_10) | left_convergent_lines(L41_248_10, reverse_line(M42_248_10)))
% 147.15/22.44
% 147.15/22.44 [12131] ALPHA_NOT_OR : ~(left_convergent_lines(L41_248_10, M42_248_10) | left_convergent_lines(L41_248_10, reverse_line(M42_248_10)))
% 147.15/22.44 -> [12134] ~left_convergent_lines(L41_248_10, M42_248_10), ~left_convergent_lines(L41_248_10, reverse_line(M42_248_10))
% 147.15/22.44
% 147.15/22.44 [12134] CLOSURE : ~left_convergent_lines(L41_248_10, M42_248_10)
% 147.15/22.44
% 147.15/22.44 [12024] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12059] ~(left_apart_point(A39_943_9, L40_943_9) | left_apart_point(A39_943_9, reverse_line(L40_943_9)))
% 147.15/22.44
% 147.15/22.44 [12059] ALPHA_NOT_OR : ~(left_apart_point(A39_943_9, L40_943_9) | left_apart_point(A39_943_9, reverse_line(L40_943_9)))
% 147.15/22.44 -> [12061] ~left_apart_point(A39_943_9, L40_943_9), ~left_apart_point(A39_943_9, reverse_line(L40_943_9))
% 147.15/22.44
% 147.15/22.44 [12061] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [12328] ~(left_convergent_lines(L41_258_10, M42_258_10) | left_convergent_lines(L41_258_10, reverse_line(M42_258_10)))
% 147.15/22.44
% 147.15/22.44 [12328] ALPHA_NOT_OR : ~(left_convergent_lines(L41_258_10, M42_258_10) | left_convergent_lines(L41_258_10, reverse_line(M42_258_10)))
% 147.15/22.44 -> [12329] ~left_convergent_lines(L41_258_10, M42_258_10), ~left_convergent_lines(L41_258_10, reverse_line(M42_258_10))
% 147.15/22.44
% 147.15/22.44 [12329] CLOSURE : ~left_convergent_lines(L41_258_10, M42_258_10)
% 147.15/22.44
% 147.15/22.44 [11670] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [11694] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [11695] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [11694] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [11963] ((unequally_directed_lines(skolem_N7979, M38_491_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_491_8))) => (left_convergent_lines(skolem_N7979, M38_491_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_491_8))))
% 147.15/22.44
% 147.15/22.44 [11963] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_491_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_491_8))) => (left_convergent_lines(skolem_N7979, M38_491_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_491_8))))
% 147.15/22.44 -> [11964] ~(unequally_directed_lines(skolem_N7979, M38_491_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_491_8)))
% 147.15/22.44 -> [11965] (left_convergent_lines(skolem_N7979, M38_491_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_491_8)))
% 147.15/22.44
% 147.15/22.44 [11964] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_491_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_491_8)))
% 147.15/22.44 -> [12003] ~unequally_directed_lines(skolem_N7979, M38_491_8)
% 147.15/22.44 -> [12004] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_491_8))
% 147.15/22.44
% 147.15/22.44 [12004] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_491_8))
% 147.15/22.44
% 147.15/22.44 [12003] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_491_8)
% 147.15/22.44
% 147.15/22.44 [11965] BETA_OR : (left_convergent_lines(skolem_N7979, M38_491_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_491_8)))
% 147.15/22.44 -> [11973] left_convergent_lines(skolem_N7979, M38_491_8)
% 147.15/22.44 -> [11974] left_convergent_lines(skolem_N7979, reverse_line(M38_491_8))
% 147.15/22.44
% 147.15/22.44 [11974] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12035] ~(left_apart_point(A39_937_9, L40_937_9) | left_apart_point(A39_937_9, reverse_line(L40_937_9)))
% 147.15/22.44
% 147.15/22.44 [12035] ALPHA_NOT_OR : ~(left_apart_point(A39_937_9, L40_937_9) | left_apart_point(A39_937_9, reverse_line(L40_937_9)))
% 147.15/22.44 -> [12036] ~left_apart_point(A39_937_9, L40_937_9), ~left_apart_point(A39_937_9, reverse_line(L40_937_9))
% 147.15/22.44
% 147.15/22.44 [12036] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [12069] ~(left_convergent_lines(L41_245_10, M42_245_10) | left_convergent_lines(L41_245_10, reverse_line(M42_245_10)))
% 147.15/22.44
% 147.15/22.44 [12069] ALPHA_NOT_OR : ~(left_convergent_lines(L41_245_10, M42_245_10) | left_convergent_lines(L41_245_10, reverse_line(M42_245_10)))
% 147.15/22.44 -> [12073] ~left_convergent_lines(L41_245_10, M42_245_10), ~left_convergent_lines(L41_245_10, reverse_line(M42_245_10))
% 147.15/22.44
% 147.15/22.44 [12073] CLOSURE : ~left_convergent_lines(L41_245_10, M42_245_10)
% 147.15/22.44
% 147.15/22.44 [11973] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12037] ~(left_apart_point(A39_938_9, L40_938_9) | left_apart_point(A39_938_9, reverse_line(L40_938_9)))
% 147.15/22.44
% 147.15/22.44 [12037] ALPHA_NOT_OR : ~(left_apart_point(A39_938_9, L40_938_9) | left_apart_point(A39_938_9, reverse_line(L40_938_9)))
% 147.15/22.44 -> [12038] ~left_apart_point(A39_938_9, L40_938_9), ~left_apart_point(A39_938_9, reverse_line(L40_938_9))
% 147.15/22.44
% 147.15/22.44 [12038] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [12261] ~(left_convergent_lines(L41_256_10, M42_256_10) | left_convergent_lines(L41_256_10, reverse_line(M42_256_10)))
% 147.15/22.44
% 147.15/22.44 [12261] ALPHA_NOT_OR : ~(left_convergent_lines(L41_256_10, M42_256_10) | left_convergent_lines(L41_256_10, reverse_line(M42_256_10)))
% 147.15/22.44 -> [12263] ~left_convergent_lines(L41_256_10, M42_256_10), ~left_convergent_lines(L41_256_10, reverse_line(M42_256_10))
% 147.15/22.44
% 147.15/22.44 [12263] CLOSURE : ~left_convergent_lines(L41_256_10, M42_256_10)
% 147.15/22.44
% 147.15/22.44 [11695] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [11924] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [11924] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44 -> [11927] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [11928] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [11927] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [12045] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [12046] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [12046] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [12045] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [11928] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [11931] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [11932] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [11931] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12139] ~(left_apart_point(A39_963_9, L40_963_9) | left_apart_point(A39_963_9, reverse_line(L40_963_9)))
% 147.15/22.44
% 147.15/22.44 [12139] ALPHA_NOT_OR : ~(left_apart_point(A39_963_9, L40_963_9) | left_apart_point(A39_963_9, reverse_line(L40_963_9)))
% 147.15/22.44 -> [12142] ~left_apart_point(A39_963_9, L40_963_9), ~left_apart_point(A39_963_9, reverse_line(L40_963_9))
% 147.15/22.44
% 147.15/22.44 [12142] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [12201] ~(left_convergent_lines(L41_252_10, M42_252_10) | left_convergent_lines(L41_252_10, reverse_line(M42_252_10)))
% 147.15/22.44
% 147.15/22.44 [12201] ALPHA_NOT_OR : ~(left_convergent_lines(L41_252_10, M42_252_10) | left_convergent_lines(L41_252_10, reverse_line(M42_252_10)))
% 147.15/22.44 -> [12202] ~left_convergent_lines(L41_252_10, M42_252_10), ~left_convergent_lines(L41_252_10, reverse_line(M42_252_10))
% 147.15/22.44
% 147.15/22.44 [12202] CLOSURE : ~left_convergent_lines(L41_252_10, M42_252_10)
% 147.15/22.44
% 147.15/22.44 [11932] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12193] ~(left_apart_point(A39_978_9, L40_978_9) | left_apart_point(A39_978_9, reverse_line(L40_978_9)))
% 147.15/22.44
% 147.15/22.44 [12193] ALPHA_NOT_OR : ~(left_apart_point(A39_978_9, L40_978_9) | left_apart_point(A39_978_9, reverse_line(L40_978_9)))
% 147.15/22.44 -> [12196] ~left_apart_point(A39_978_9, L40_978_9), ~left_apart_point(A39_978_9, reverse_line(L40_978_9))
% 147.15/22.44
% 147.15/22.44 [12196] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [12460] ~(left_convergent_lines(L41_259_10, M42_259_10) | left_convergent_lines(L41_259_10, reverse_line(M42_259_10)))
% 147.15/22.44
% 147.15/22.44 [12460] ALPHA_NOT_OR : ~(left_convergent_lines(L41_259_10, M42_259_10) | left_convergent_lines(L41_259_10, reverse_line(M42_259_10)))
% 147.15/22.44 -> [12462] ~left_convergent_lines(L41_259_10, M42_259_10), ~left_convergent_lines(L41_259_10, reverse_line(M42_259_10))
% 147.15/22.44
% 147.15/22.44 [12462] CLOSURE : ~left_convergent_lines(L41_259_10, M42_259_10)
% 147.15/22.44
% 147.15/22.44 [11540] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_101_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_101_6)))
% 147.15/22.44 -> [11553] unequally_directed_lines(skolem_M7878, N34_101_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_101_6))
% 147.15/22.44
% 147.15/22.44 [11553] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [11621] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.44
% 147.15/22.44 [11621] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.44 -> [11625] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [11626] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44
% 147.15/22.44 [11626] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44 -> [11630] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [11631] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [11630] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [11631] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [11790] ((unequally_directed_lines(skolem_M7878, M38_479_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_479_8))) => (left_convergent_lines(skolem_M7878, M38_479_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_479_8))))
% 147.15/22.44
% 147.15/22.44 [11790] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_479_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_479_8))) => (left_convergent_lines(skolem_M7878, M38_479_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_479_8))))
% 147.15/22.44 -> [11791] ~(unequally_directed_lines(skolem_M7878, M38_479_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_479_8)))
% 147.15/22.44 -> [11792] (left_convergent_lines(skolem_M7878, M38_479_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_479_8)))
% 147.15/22.44
% 147.15/22.44 [11791] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_479_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_479_8)))
% 147.15/22.44 -> [11848] ~unequally_directed_lines(skolem_M7878, M38_479_8)
% 147.15/22.44 -> [11849] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_479_8))
% 147.15/22.44
% 147.15/22.44 [11848] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_479_8)
% 147.15/22.44
% 147.15/22.44 [11849] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_479_8))
% 147.15/22.44
% 147.15/22.44 [11792] BETA_OR : (left_convergent_lines(skolem_M7878, M38_479_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_479_8)))
% 147.15/22.44 -> [11793] left_convergent_lines(skolem_M7878, M38_479_8)
% 147.15/22.44 -> [11794] left_convergent_lines(skolem_M7878, reverse_line(M38_479_8))
% 147.15/22.44
% 147.15/22.44 [11794] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [11979] ~(left_apart_point(A39_933_9, L40_933_9) | left_apart_point(A39_933_9, reverse_line(L40_933_9)))
% 147.15/22.44
% 147.15/22.44 [11979] ALPHA_NOT_OR : ~(left_apart_point(A39_933_9, L40_933_9) | left_apart_point(A39_933_9, reverse_line(L40_933_9)))
% 147.15/22.44 -> [12028] ~left_apart_point(A39_933_9, L40_933_9), ~left_apart_point(A39_933_9, reverse_line(L40_933_9))
% 147.15/22.44
% 147.15/22.44 [12028] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [12056] ~(left_convergent_lines(L41_243_10, M42_243_10) | left_convergent_lines(L41_243_10, reverse_line(M42_243_10)))
% 147.15/22.44
% 147.15/22.44 [12056] ALPHA_NOT_OR : ~(left_convergent_lines(L41_243_10, M42_243_10) | left_convergent_lines(L41_243_10, reverse_line(M42_243_10)))
% 147.15/22.44 -> [12057] ~left_convergent_lines(L41_243_10, M42_243_10), ~left_convergent_lines(L41_243_10, reverse_line(M42_243_10))
% 147.15/22.44
% 147.15/22.44 [12057] CLOSURE : ~left_convergent_lines(L41_243_10, M42_243_10)
% 147.15/22.44
% 147.15/22.44 [11793] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12234] ~(left_apart_point(A39_985_9, L40_985_9) | left_apart_point(A39_985_9, reverse_line(L40_985_9)))
% 147.15/22.44
% 147.15/22.44 [12234] ALPHA_NOT_OR : ~(left_apart_point(A39_985_9, L40_985_9) | left_apart_point(A39_985_9, reverse_line(L40_985_9)))
% 147.15/22.44 -> [12235] ~left_apart_point(A39_985_9, L40_985_9), ~left_apart_point(A39_985_9, reverse_line(L40_985_9))
% 147.15/22.44
% 147.15/22.44 [12235] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [12252] ~(left_convergent_lines(L41_254_10, M42_254_10) | left_convergent_lines(L41_254_10, reverse_line(M42_254_10)))
% 147.15/22.44
% 147.15/22.44 [12252] ALPHA_NOT_OR : ~(left_convergent_lines(L41_254_10, M42_254_10) | left_convergent_lines(L41_254_10, reverse_line(M42_254_10)))
% 147.15/22.44 -> [12254] ~left_convergent_lines(L41_254_10, M42_254_10), ~left_convergent_lines(L41_254_10, reverse_line(M42_254_10))
% 147.15/22.44
% 147.15/22.44 [12254] CLOSURE : ~left_convergent_lines(L41_254_10, M42_254_10)
% 147.15/22.44
% 147.15/22.44 [11625] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [11634] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [11635] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [11635] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [11719] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [11719] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [11721] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [11722] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [11721] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [11777] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [11778] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [11777] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [11778] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [11722] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [11726] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [11727] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [11726] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12238] ~(left_apart_point(A39_987_9, L40_987_9) | left_apart_point(A39_987_9, reverse_line(L40_987_9)))
% 147.15/22.44
% 147.15/22.44 [12238] ALPHA_NOT_OR : ~(left_apart_point(A39_987_9, L40_987_9) | left_apart_point(A39_987_9, reverse_line(L40_987_9)))
% 147.15/22.44 -> [12240] ~left_apart_point(A39_987_9, L40_987_9), ~left_apart_point(A39_987_9, reverse_line(L40_987_9))
% 147.15/22.44
% 147.15/22.44 [12240] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [12259] ~(left_convergent_lines(L41_255_10, M42_255_10) | left_convergent_lines(L41_255_10, reverse_line(M42_255_10)))
% 147.15/22.44
% 147.15/22.44 [12259] ALPHA_NOT_OR : ~(left_convergent_lines(L41_255_10, M42_255_10) | left_convergent_lines(L41_255_10, reverse_line(M42_255_10)))
% 147.15/22.44 -> [12260] ~left_convergent_lines(L41_255_10, M42_255_10), ~left_convergent_lines(L41_255_10, reverse_line(M42_255_10))
% 147.15/22.44
% 147.15/22.44 [12260] CLOSURE : ~left_convergent_lines(L41_255_10, M42_255_10)
% 147.15/22.44
% 147.15/22.44 [11727] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [11949] ~(left_apart_point(A39_926_9, L40_926_9) | left_apart_point(A39_926_9, reverse_line(L40_926_9)))
% 147.15/22.44
% 147.15/22.44 [11949] ALPHA_NOT_OR : ~(left_apart_point(A39_926_9, L40_926_9) | left_apart_point(A39_926_9, reverse_line(L40_926_9)))
% 147.15/22.44 -> [11951] ~left_apart_point(A39_926_9, L40_926_9), ~left_apart_point(A39_926_9, reverse_line(L40_926_9))
% 147.15/22.44
% 147.15/22.44 [11951] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [12271] ~(left_convergent_lines(L41_257_10, M42_257_10) | left_convergent_lines(L41_257_10, reverse_line(M42_257_10)))
% 147.15/22.44
% 147.15/22.44 [12271] ALPHA_NOT_OR : ~(left_convergent_lines(L41_257_10, M42_257_10) | left_convergent_lines(L41_257_10, reverse_line(M42_257_10)))
% 147.15/22.44 -> [12272] ~left_convergent_lines(L41_257_10, M42_257_10), ~left_convergent_lines(L41_257_10, reverse_line(M42_257_10))
% 147.15/22.44
% 147.15/22.44 [12272] CLOSURE : ~left_convergent_lines(L41_257_10, M42_257_10)
% 147.15/22.44
% 147.15/22.44 [11634] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [11761] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [11761] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [11762] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [11763] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [11762] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [11821] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [11822] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [11821] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [11822] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [11763] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [11769] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [11770] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [11769] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12197] ~(left_apart_point(A39_979_9, L40_979_9) | left_apart_point(A39_979_9, reverse_line(L40_979_9)))
% 147.15/22.44
% 147.15/22.44 [12197] ALPHA_NOT_OR : ~(left_apart_point(A39_979_9, L40_979_9) | left_apart_point(A39_979_9, reverse_line(L40_979_9)))
% 147.15/22.44 -> [12198] ~left_apart_point(A39_979_9, L40_979_9), ~left_apart_point(A39_979_9, reverse_line(L40_979_9))
% 147.15/22.44
% 147.15/22.44 [12198] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [12461] ~(left_convergent_lines(L41_260_10, M42_260_10) | left_convergent_lines(L41_260_10, reverse_line(M42_260_10)))
% 147.15/22.44
% 147.15/22.44 [12461] ALPHA_NOT_OR : ~(left_convergent_lines(L41_260_10, M42_260_10) | left_convergent_lines(L41_260_10, reverse_line(M42_260_10)))
% 147.15/22.44 -> [12463] ~left_convergent_lines(L41_260_10, M42_260_10), ~left_convergent_lines(L41_260_10, reverse_line(M42_260_10))
% 147.15/22.44
% 147.15/22.44 [12463] CLOSURE : ~left_convergent_lines(L41_260_10, M42_260_10)
% 147.15/22.44
% 147.15/22.44 [11770] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12164] ~(left_apart_point(A39_972_9, L40_972_9) | left_apart_point(A39_972_9, reverse_line(L40_972_9)))
% 147.15/22.44
% 147.15/22.44 [12164] ALPHA_NOT_OR : ~(left_apart_point(A39_972_9, L40_972_9) | left_apart_point(A39_972_9, reverse_line(L40_972_9)))
% 147.15/22.44 -> [12167] ~left_apart_point(A39_972_9, L40_972_9), ~left_apart_point(A39_972_9, reverse_line(L40_972_9))
% 147.15/22.44
% 147.15/22.44 [12167] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [12501] ~(left_convergent_lines(L41_261_10, M42_261_10) | left_convergent_lines(L41_261_10, reverse_line(M42_261_10)))
% 147.15/22.44
% 147.15/22.44 [12501] ALPHA_NOT_OR : ~(left_convergent_lines(L41_261_10, M42_261_10) | left_convergent_lines(L41_261_10, reverse_line(M42_261_10)))
% 147.15/22.44 -> [12506] ~left_convergent_lines(L41_261_10, M42_261_10), ~left_convergent_lines(L41_261_10, reverse_line(M42_261_10))
% 147.15/22.44
% 147.15/22.44 [12506] CLOSURE : ~left_convergent_lines(L41_261_10, M42_261_10)
% 147.15/22.44
% 147.15/22.44 [732] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44 -> [735] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [735] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44 -> [738] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.44 -> [739] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [739] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [1300] ~distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1300] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [1337] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.44
% 147.15/22.44 [1337] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282)))
% 147.15/22.44 -> [1341] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [1342] (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.44
% 147.15/22.44 [1341] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1342] BETA_OR : (distinct_points(skolem_B8181, skolem_C8282) | distinct_points(skolem_C8282, skolem_C8282))
% 147.15/22.44 -> [1821] distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [1822] distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1822] CLOSURE : distinct_points(skolem_C8282, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [1821] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [1900] ~distinct_lines(N27_28_3, N27_28_3)
% 147.15/22.44
% 147.15/22.44 [1900] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [1914] (distinct_lines(N27_28_3, N27_28_3) => (distinct_lines(N27_28_3, N27_28_3) | distinct_lines(N27_28_3, N27_28_3)))
% 147.15/22.44
% 147.15/22.44 [1914] BETA_IMPLY : (distinct_lines(N27_28_3, N27_28_3) => (distinct_lines(N27_28_3, N27_28_3) | distinct_lines(N27_28_3, N27_28_3)))
% 147.15/22.44 -> [1915] ~distinct_lines(N27_28_3, N27_28_3)
% 147.15/22.44 -> [1916] (distinct_lines(N27_28_3, N27_28_3) | distinct_lines(N27_28_3, N27_28_3))
% 147.15/22.44
% 147.15/22.44 [1916] BETA_OR : (distinct_lines(N27_28_3, N27_28_3) | distinct_lines(N27_28_3, N27_28_3))
% 147.15/22.44 -> [1917] distinct_lines(N27_28_3, N27_28_3)
% 147.15/22.44 -> [1918] distinct_lines(N27_28_3, N27_28_3)
% 147.15/22.44
% 147.15/22.44 [1917] CLOSURE : distinct_lines(N27_28_3, N27_28_3)
% 147.15/22.44
% 147.15/22.44 [1918] CLOSURE : distinct_lines(N27_28_3, N27_28_3)
% 147.15/22.44
% 147.15/22.44 [1915] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [2048] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [2048] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [2229] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44
% 147.15/22.44 [2229] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44 -> [2230] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [2231] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [2230] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [2231] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [6104] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [6105] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [6105] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [6104] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [8506] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_109_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_109_6))) | (unequally_directed_lines(skolem_N7979, N34_109_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_109_6)))))
% 147.15/22.44
% 147.15/22.44 [8506] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_109_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_109_6))) | (unequally_directed_lines(skolem_N7979, N34_109_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_109_6)))))
% 147.15/22.44 -> [8507] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [8508] ((unequally_directed_lines(skolem_M7878, N34_109_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_109_6))) | (unequally_directed_lines(skolem_N7979, N34_109_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_109_6))))
% 147.15/22.44
% 147.15/22.44 [8507] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [8534] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [8535] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [8535] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [8534] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [8508] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_109_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_109_6))) | (unequally_directed_lines(skolem_N7979, N34_109_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_109_6))))
% 147.15/22.44 -> [11235] (unequally_directed_lines(skolem_M7878, N34_109_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_109_6)))
% 147.15/22.44 -> [11236] (unequally_directed_lines(skolem_N7979, N34_109_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_109_6)))
% 147.15/22.44
% 147.15/22.44 [11236] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_109_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_109_6)))
% 147.15/22.44 -> [11242] unequally_directed_lines(skolem_N7979, N34_109_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_109_6))
% 147.15/22.44
% 147.15/22.44 [11242] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [11497] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.44
% 147.15/22.44 [11497] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.44 -> [11498] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [11499] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44
% 147.15/22.44 [11499] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44 -> [11500] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [11501] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [11500] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [11501] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [11620] ((unequally_directed_lines(skolem_N7979, M38_463_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_463_8))) => (left_convergent_lines(skolem_N7979, M38_463_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_463_8))))
% 147.15/22.44
% 147.15/22.44 [11620] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_463_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_463_8))) => (left_convergent_lines(skolem_N7979, M38_463_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_463_8))))
% 147.15/22.44 -> [11623] ~(unequally_directed_lines(skolem_N7979, M38_463_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_463_8)))
% 147.15/22.44 -> [11624] (left_convergent_lines(skolem_N7979, M38_463_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_463_8)))
% 147.15/22.44
% 147.15/22.44 [11624] BETA_OR : (left_convergent_lines(skolem_N7979, M38_463_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_463_8)))
% 147.15/22.44 -> [11628] left_convergent_lines(skolem_N7979, M38_463_8)
% 147.15/22.44 -> [11629] left_convergent_lines(skolem_N7979, reverse_line(M38_463_8))
% 147.15/22.44
% 147.15/22.44 [11629] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [11809] ~(left_apart_point(A39_904_9, L40_904_9) | left_apart_point(A39_904_9, reverse_line(L40_904_9)))
% 147.15/22.44
% 147.15/22.44 [11809] ALPHA_NOT_OR : ~(left_apart_point(A39_904_9, L40_904_9) | left_apart_point(A39_904_9, reverse_line(L40_904_9)))
% 147.15/22.44 -> [11814] ~left_apart_point(A39_904_9, L40_904_9), ~left_apart_point(A39_904_9, reverse_line(L40_904_9))
% 147.15/22.44
% 147.15/22.44 [11814] CLOSURE : ~left_apart_point(A39_904_9, L40_904_9)
% 147.15/22.44
% 147.15/22.44 [11628] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [11867] ~(left_apart_point(A39_912_9, L40_912_9) | left_apart_point(A39_912_9, reverse_line(L40_912_9)))
% 147.15/22.44
% 147.15/22.44 [11867] ALPHA_NOT_OR : ~(left_apart_point(A39_912_9, L40_912_9) | left_apart_point(A39_912_9, reverse_line(L40_912_9)))
% 147.15/22.44 -> [11869] ~left_apart_point(A39_912_9, L40_912_9), ~left_apart_point(A39_912_9, reverse_line(L40_912_9))
% 147.15/22.44
% 147.15/22.44 [11869] CLOSURE : ~left_apart_point(A39_912_9, L40_912_9)
% 147.15/22.44
% 147.15/22.44 [11623] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_463_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_463_8)))
% 147.15/22.44 -> [11666] ~unequally_directed_lines(skolem_N7979, M38_463_8)
% 147.15/22.44 -> [11667] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_463_8))
% 147.15/22.44
% 147.15/22.44 [11667] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_463_8))
% 147.15/22.44
% 147.15/22.44 [11666] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_463_8)
% 147.15/22.44
% 147.15/22.44 [11498] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [11530] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [11531] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [11530] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [11648] ((unequally_directed_lines(skolem_N7979, M38_464_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_464_8))) => (left_convergent_lines(skolem_N7979, M38_464_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_464_8))))
% 147.15/22.44
% 147.15/22.44 [11648] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_464_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_464_8))) => (left_convergent_lines(skolem_N7979, M38_464_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_464_8))))
% 147.15/22.44 -> [11651] ~(unequally_directed_lines(skolem_N7979, M38_464_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_464_8)))
% 147.15/22.44 -> [11652] (left_convergent_lines(skolem_N7979, M38_464_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_464_8)))
% 147.15/22.44
% 147.15/22.44 [11651] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_464_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_464_8)))
% 147.15/22.44 -> [11710] ~unequally_directed_lines(skolem_N7979, M38_464_8)
% 147.15/22.44 -> [11711] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_464_8))
% 147.15/22.44
% 147.15/22.44 [11711] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_464_8))
% 147.15/22.44
% 147.15/22.44 [11710] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_464_8)
% 147.15/22.44
% 147.15/22.44 [11652] BETA_OR : (left_convergent_lines(skolem_N7979, M38_464_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_464_8)))
% 147.15/22.44 -> [11656] left_convergent_lines(skolem_N7979, M38_464_8)
% 147.15/22.44 -> [11657] left_convergent_lines(skolem_N7979, reverse_line(M38_464_8))
% 147.15/22.44
% 147.15/22.44 [11657] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [11858] ~(left_apart_point(A39_908_9, L40_908_9) | left_apart_point(A39_908_9, reverse_line(L40_908_9)))
% 147.15/22.44
% 147.15/22.44 [11858] ALPHA_NOT_OR : ~(left_apart_point(A39_908_9, L40_908_9) | left_apart_point(A39_908_9, reverse_line(L40_908_9)))
% 147.15/22.44 -> [11860] ~left_apart_point(A39_908_9, L40_908_9), ~left_apart_point(A39_908_9, reverse_line(L40_908_9))
% 147.15/22.44
% 147.15/22.44 [11860] CLOSURE : ~left_apart_point(A39_908_9, L40_908_9)
% 147.15/22.44
% 147.15/22.44 [11656] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [11906] ~(left_apart_point(A39_918_9, L40_918_9) | left_apart_point(A39_918_9, reverse_line(L40_918_9)))
% 147.15/22.44
% 147.15/22.44 [11906] ALPHA_NOT_OR : ~(left_apart_point(A39_918_9, L40_918_9) | left_apart_point(A39_918_9, reverse_line(L40_918_9)))
% 147.15/22.44 -> [11910] ~left_apart_point(A39_918_9, L40_918_9), ~left_apart_point(A39_918_9, reverse_line(L40_918_9))
% 147.15/22.44
% 147.15/22.44 [11910] CLOSURE : ~left_apart_point(A39_918_9, L40_918_9)
% 147.15/22.44
% 147.15/22.44 [11531] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [11616] ((unequally_directed_lines(skolem_N7979, M38_462_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_462_8))) => (left_convergent_lines(skolem_N7979, M38_462_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_462_8))))
% 147.15/22.44
% 147.15/22.44 [11616] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_462_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_462_8))) => (left_convergent_lines(skolem_N7979, M38_462_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_462_8))))
% 147.15/22.44 -> [11617] ~(unequally_directed_lines(skolem_N7979, M38_462_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_462_8)))
% 147.15/22.44 -> [11618] (left_convergent_lines(skolem_N7979, M38_462_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_462_8)))
% 147.15/22.44
% 147.15/22.44 [11617] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_462_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_462_8)))
% 147.15/22.44 -> [12010] ~unequally_directed_lines(skolem_N7979, M38_462_8)
% 147.15/22.44 -> [12011] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_462_8))
% 147.15/22.44
% 147.15/22.44 [12011] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_462_8))
% 147.15/22.44
% 147.15/22.44 [12010] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_462_8)
% 147.15/22.44
% 147.15/22.44 [11618] BETA_OR : (left_convergent_lines(skolem_N7979, M38_462_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_462_8)))
% 147.15/22.44 -> [12005] left_convergent_lines(skolem_N7979, M38_462_8)
% 147.15/22.44 -> [12006] left_convergent_lines(skolem_N7979, reverse_line(M38_462_8))
% 147.15/22.44
% 147.15/22.44 [12005] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12104] ~(left_apart_point(A39_956_9, L40_956_9) | left_apart_point(A39_956_9, reverse_line(L40_956_9)))
% 147.15/22.44
% 147.15/22.44 [12104] ALPHA_NOT_OR : ~(left_apart_point(A39_956_9, L40_956_9) | left_apart_point(A39_956_9, reverse_line(L40_956_9)))
% 147.15/22.44 -> [12106] ~left_apart_point(A39_956_9, L40_956_9), ~left_apart_point(A39_956_9, reverse_line(L40_956_9))
% 147.15/22.44
% 147.15/22.44 [12106] CLOSURE : ~left_apart_point(A39_956_9, L40_956_9)
% 147.15/22.44
% 147.15/22.44 [12006] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12147] ~(left_apart_point(A39_965_9, L40_965_9) | left_apart_point(A39_965_9, reverse_line(L40_965_9)))
% 147.15/22.44
% 147.15/22.44 [12147] ALPHA_NOT_OR : ~(left_apart_point(A39_965_9, L40_965_9) | left_apart_point(A39_965_9, reverse_line(L40_965_9)))
% 147.15/22.44 -> [12148] ~left_apart_point(A39_965_9, L40_965_9), ~left_apart_point(A39_965_9, reverse_line(L40_965_9))
% 147.15/22.44
% 147.15/22.44 [12148] CLOSURE : ~left_apart_point(A39_965_9, L40_965_9)
% 147.15/22.44
% 147.15/22.44 [11235] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_109_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_109_6)))
% 147.15/22.44 -> [11257] unequally_directed_lines(skolem_M7878, N34_109_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_109_6))
% 147.15/22.44
% 147.15/22.44 [11257] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [11490] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.44
% 147.15/22.44 [11490] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.44 -> [11492] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [11493] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44
% 147.15/22.44 [11492] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [11519] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [11520] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [11520] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [11921] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [11921] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [11922] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [11923] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [11922] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [11933] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [11934] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [11934] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [11933] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [11923] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [11925] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [11926] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [11926] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12203] ~(left_apart_point(A39_980_9, L40_980_9) | left_apart_point(A39_980_9, reverse_line(L40_980_9)))
% 147.15/22.44
% 147.15/22.44 [12203] ALPHA_NOT_OR : ~(left_apart_point(A39_980_9, L40_980_9) | left_apart_point(A39_980_9, reverse_line(L40_980_9)))
% 147.15/22.44 -> [12204] ~left_apart_point(A39_980_9, L40_980_9), ~left_apart_point(A39_980_9, reverse_line(L40_980_9))
% 147.15/22.44
% 147.15/22.44 [12204] CLOSURE : ~left_apart_point(A39_980_9, L40_980_9)
% 147.15/22.44
% 147.15/22.44 [11925] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12220] ~(left_apart_point(A39_981_9, L40_981_9) | left_apart_point(A39_981_9, reverse_line(L40_981_9)))
% 147.15/22.44
% 147.15/22.44 [12220] ALPHA_NOT_OR : ~(left_apart_point(A39_981_9, L40_981_9) | left_apart_point(A39_981_9, reverse_line(L40_981_9)))
% 147.15/22.44 -> [12224] ~left_apart_point(A39_981_9, L40_981_9), ~left_apart_point(A39_981_9, reverse_line(L40_981_9))
% 147.15/22.44
% 147.15/22.44 [12224] CLOSURE : ~left_apart_point(A39_981_9, L40_981_9)
% 147.15/22.44
% 147.15/22.44 [11519] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [12007] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [12007] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [12008] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [12009] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [12008] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [12029] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [12030] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [12030] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [12029] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [12009] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [12015] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [12016] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [12016] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12066] ~(left_apart_point(A39_944_9, L40_944_9) | left_apart_point(A39_944_9, reverse_line(L40_944_9)))
% 147.15/22.44
% 147.15/22.44 [12066] ALPHA_NOT_OR : ~(left_apart_point(A39_944_9, L40_944_9) | left_apart_point(A39_944_9, reverse_line(L40_944_9)))
% 147.15/22.44 -> [12067] ~left_apart_point(A39_944_9, L40_944_9), ~left_apart_point(A39_944_9, reverse_line(L40_944_9))
% 147.15/22.44
% 147.15/22.44 [12067] CLOSURE : ~left_apart_point(A39_944_9, L40_944_9)
% 147.15/22.44
% 147.15/22.44 [12015] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12079] ~(left_apart_point(A39_947_9, L40_947_9) | left_apart_point(A39_947_9, reverse_line(L40_947_9)))
% 147.15/22.44
% 147.15/22.44 [12079] ALPHA_NOT_OR : ~(left_apart_point(A39_947_9, L40_947_9) | left_apart_point(A39_947_9, reverse_line(L40_947_9)))
% 147.15/22.44 -> [12081] ~left_apart_point(A39_947_9, L40_947_9), ~left_apart_point(A39_947_9, reverse_line(L40_947_9))
% 147.15/22.44
% 147.15/22.44 [12081] CLOSURE : ~left_apart_point(A39_947_9, L40_947_9)
% 147.15/22.44
% 147.15/22.44 [11493] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44 -> [11495] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [11496] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [11495] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [11496] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [11614] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [11614] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [12539] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [12540] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [12540] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [12546] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [12547] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [12547] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12561] ~(left_apart_point(A39_1043_9, L40_1043_9) | left_apart_point(A39_1043_9, reverse_line(L40_1043_9)))
% 147.15/22.44
% 147.15/22.44 [12561] ALPHA_NOT_OR : ~(left_apart_point(A39_1043_9, L40_1043_9) | left_apart_point(A39_1043_9, reverse_line(L40_1043_9)))
% 147.15/22.44 -> [12562] ~left_apart_point(A39_1043_9, L40_1043_9), ~left_apart_point(A39_1043_9, reverse_line(L40_1043_9))
% 147.15/22.44
% 147.15/22.44 [12562] CLOSURE : ~left_apart_point(A39_1043_9, L40_1043_9)
% 147.15/22.44
% 147.15/22.44 [12546] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12567] ~(left_apart_point(A39_1044_9, L40_1044_9) | left_apart_point(A39_1044_9, reverse_line(L40_1044_9)))
% 147.15/22.44
% 147.15/22.44 [12567] ALPHA_NOT_OR : ~(left_apart_point(A39_1044_9, L40_1044_9) | left_apart_point(A39_1044_9, reverse_line(L40_1044_9)))
% 147.15/22.44 -> [12570] ~left_apart_point(A39_1044_9, L40_1044_9), ~left_apart_point(A39_1044_9, reverse_line(L40_1044_9))
% 147.15/22.44
% 147.15/22.44 [12570] CLOSURE : ~left_apart_point(A39_1044_9, L40_1044_9)
% 147.15/22.44
% 147.15/22.44 [12539] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [12548] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [12549] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [12549] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [12548] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [738] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [897] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [897] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [959] (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [959] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_C8282) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181)))
% 147.15/22.44 -> [961] ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44 -> [962] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [961] CLOSURE : ~distinct_points(skolem_B8181, skolem_C8282)
% 147.15/22.44
% 147.15/22.44 [962] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_C8282, skolem_B8181))
% 147.15/22.44 -> [2008] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44 -> [2009] distinct_points(skolem_C8282, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [2008] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [2009] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [3116] ~distinct_lines(N27_100_3, N27_100_3)
% 147.15/22.44
% 147.15/22.44 [3116] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [3183] (distinct_lines(N27_100_3, N27_100_3) => (distinct_lines(N27_100_3, N27_100_3) | distinct_lines(N27_100_3, N27_100_3)))
% 147.15/22.44
% 147.15/22.44 [3183] BETA_IMPLY : (distinct_lines(N27_100_3, N27_100_3) => (distinct_lines(N27_100_3, N27_100_3) | distinct_lines(N27_100_3, N27_100_3)))
% 147.15/22.44 -> [3184] ~distinct_lines(N27_100_3, N27_100_3)
% 147.15/22.44 -> [3185] (distinct_lines(N27_100_3, N27_100_3) | distinct_lines(N27_100_3, N27_100_3))
% 147.15/22.44
% 147.15/22.44 [3185] BETA_OR : (distinct_lines(N27_100_3, N27_100_3) | distinct_lines(N27_100_3, N27_100_3))
% 147.15/22.44 -> [3186] distinct_lines(N27_100_3, N27_100_3)
% 147.15/22.44 -> [3187] distinct_lines(N27_100_3, N27_100_3)
% 147.15/22.44
% 147.15/22.44 [3187] CLOSURE : distinct_lines(N27_100_3, N27_100_3)
% 147.15/22.44
% 147.15/22.44 [3186] CLOSURE : distinct_lines(N27_100_3, N27_100_3)
% 147.15/22.44
% 147.15/22.44 [3184] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [3322] ~unequally_directed_lines(skolem_L7777, skolem_L7777)
% 147.15/22.44
% 147.15/22.44 [3322] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [3531] (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.44
% 147.15/22.44 [3531] BETA_IMPLY : (unequally_directed_lines(skolem_L7777, skolem_M7878) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282))))
% 147.15/22.44 -> [3536] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [3537] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.44
% 147.15/22.44 [3536] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [3537] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282)) | unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282)))
% 147.15/22.44 -> [5406] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.44 -> [5407] unequally_directed_lines(skolem_M7878, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.44
% 147.15/22.44 [5406] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_C8282))
% 147.15/22.44
% 147.15/22.44 [5407] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [8695] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))) | (unequally_directed_lines(skolem_M7878, skolem_L7777) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_L7777)))))
% 147.15/22.44
% 147.15/22.44 [8695] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => ((unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))) | (unequally_directed_lines(skolem_M7878, skolem_L7777) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_L7777)))))
% 147.15/22.44 -> [8698] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [8699] ((unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))) | (unequally_directed_lines(skolem_M7878, skolem_L7777) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_L7777))))
% 147.15/22.44
% 147.15/22.44 [8698] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [8723] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [8724] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [8724] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [8723] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [8699] BETA_OR : ((unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))) | (unequally_directed_lines(skolem_M7878, skolem_L7777) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_L7777))))
% 147.15/22.44 -> [11832] (unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 147.15/22.44 -> [11833] (unequally_directed_lines(skolem_M7878, skolem_L7777) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_L7777)))
% 147.15/22.44
% 147.15/22.44 [11832] ALPHA_AND : (unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 147.15/22.44 -> [11885] unequally_directed_lines(skolem_L7777, skolem_L7777), unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 147.15/22.44
% 147.15/22.44 [11885] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 147.15/22.44
% 147.15/22.44 [11839] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [12541] ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 147.15/22.44
% 147.15/22.44 [12541] BETA_IMPLY : ((line(skolem_L7777) & line(skolem_L7777)) => (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))))
% 147.15/22.44 -> [12542] ~(line(skolem_L7777) & line(skolem_L7777))
% 147.15/22.44 -> [12543] (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 147.15/22.44
% 147.15/22.44 [12542] BETA_NOT_AND : ~(line(skolem_L7777) & line(skolem_L7777))
% 147.15/22.44 -> [12554] ~line(skolem_L7777)
% 147.15/22.44 -> [12555] ~line(skolem_L7777)
% 147.15/22.44
% 147.15/22.44 [12555] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [12566] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [12566] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [12568] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [12569] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [12568] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [12647] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [12648] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [12647] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [12648] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [12569] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [12573] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [12574] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [12573] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12674] ~(left_apart_point(A39_1049_9, L40_1049_9) | left_apart_point(A39_1049_9, reverse_line(L40_1049_9)))
% 147.15/22.44
% 147.15/22.44 [12674] ALPHA_NOT_OR : ~(left_apart_point(A39_1049_9, L40_1049_9) | left_apart_point(A39_1049_9, reverse_line(L40_1049_9)))
% 147.15/22.44 -> [12676] ~left_apart_point(A39_1049_9, L40_1049_9), ~left_apart_point(A39_1049_9, reverse_line(L40_1049_9))
% 147.15/22.44
% 147.15/22.44 [12676] CLOSURE : ~left_apart_point(A39_1049_9, L40_1049_9)
% 147.15/22.44
% 147.15/22.44 [12574] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12675] ~(left_apart_point(A39_1050_9, L40_1050_9) | left_apart_point(A39_1050_9, reverse_line(L40_1050_9)))
% 147.15/22.44
% 147.15/22.44 [12675] ALPHA_NOT_OR : ~(left_apart_point(A39_1050_9, L40_1050_9) | left_apart_point(A39_1050_9, reverse_line(L40_1050_9)))
% 147.15/22.44 -> [12677] ~left_apart_point(A39_1050_9, L40_1050_9), ~left_apart_point(A39_1050_9, reverse_line(L40_1050_9))
% 147.15/22.44
% 147.15/22.44 [12677] CLOSURE : ~left_apart_point(A39_1050_9, L40_1050_9)
% 147.15/22.44
% 147.15/22.44 [12554] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [12627] ((unequally_directed_lines(skolem_M7878, skolem_L7777) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_L7777))) => (left_convergent_lines(skolem_M7878, skolem_L7777) | left_convergent_lines(skolem_M7878, reverse_line(skolem_L7777))))
% 147.15/22.44
% 147.15/22.44 [12627] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_L7777) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_L7777))) => (left_convergent_lines(skolem_M7878, skolem_L7777) | left_convergent_lines(skolem_M7878, reverse_line(skolem_L7777))))
% 147.15/22.44 -> [12630] ~(unequally_directed_lines(skolem_M7878, skolem_L7777) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_L7777)))
% 147.15/22.44 -> [12631] (left_convergent_lines(skolem_M7878, skolem_L7777) | left_convergent_lines(skolem_M7878, reverse_line(skolem_L7777)))
% 147.15/22.44
% 147.15/22.44 [12630] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_L7777) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_L7777)))
% 147.15/22.44 -> [12678] ~unequally_directed_lines(skolem_M7878, skolem_L7777)
% 147.15/22.44 -> [12679] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_L7777))
% 147.15/22.44
% 147.15/22.44 [12678] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_L7777)
% 147.15/22.44
% 147.15/22.44 [12679] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_L7777))
% 147.15/22.44
% 147.15/22.44 [12631] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_L7777) | left_convergent_lines(skolem_M7878, reverse_line(skolem_L7777)))
% 147.15/22.44 -> [12636] left_convergent_lines(skolem_M7878, skolem_L7777)
% 147.15/22.44 -> [12637] left_convergent_lines(skolem_M7878, reverse_line(skolem_L7777))
% 147.15/22.44
% 147.15/22.44 [12637] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12686] ~(left_apart_point(A39_1053_9, L40_1053_9) | left_apart_point(A39_1053_9, reverse_line(L40_1053_9)))
% 147.15/22.44
% 147.15/22.44 [12686] ALPHA_NOT_OR : ~(left_apart_point(A39_1053_9, L40_1053_9) | left_apart_point(A39_1053_9, reverse_line(L40_1053_9)))
% 147.15/22.44 -> [12691] ~left_apart_point(A39_1053_9, L40_1053_9), ~left_apart_point(A39_1053_9, reverse_line(L40_1053_9))
% 147.15/22.44
% 147.15/22.44 [12691] CLOSURE : ~left_apart_point(A39_1053_9, L40_1053_9)
% 147.15/22.44
% 147.15/22.44 [12636] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12706] ~(left_apart_point(A39_1058_9, L40_1058_9) | left_apart_point(A39_1058_9, reverse_line(L40_1058_9)))
% 147.15/22.44
% 147.15/22.44 [12706] ALPHA_NOT_OR : ~(left_apart_point(A39_1058_9, L40_1058_9) | left_apart_point(A39_1058_9, reverse_line(L40_1058_9)))
% 147.15/22.44 -> [12816] ~left_apart_point(A39_1058_9, L40_1058_9), ~left_apart_point(A39_1058_9, reverse_line(L40_1058_9))
% 147.15/22.44
% 147.15/22.44 [12816] CLOSURE : ~left_apart_point(A39_1058_9, L40_1058_9)
% 147.15/22.44
% 147.15/22.44 [12543] BETA_OR : (unequally_directed_lines(skolem_L7777, skolem_L7777) | unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 147.15/22.44 -> [12550] unequally_directed_lines(skolem_L7777, skolem_L7777)
% 147.15/22.44 -> [12551] unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 147.15/22.44
% 147.15/22.44 [12550] CLOSURE : unequally_directed_lines(skolem_L7777, skolem_L7777)
% 147.15/22.44
% 147.15/22.44 [12551] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [12578] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [12578] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [12580] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [12581] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [12580] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [12653] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [12654] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [12654] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [12653] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [12581] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [12611] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [12612] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [12612] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12716] ~(left_apart_point(A39_1063_9, L40_1063_9) | left_apart_point(A39_1063_9, reverse_line(L40_1063_9)))
% 147.15/22.44
% 147.15/22.44 [12716] ALPHA_NOT_OR : ~(left_apart_point(A39_1063_9, L40_1063_9) | left_apart_point(A39_1063_9, reverse_line(L40_1063_9)))
% 147.15/22.44 -> [12719] ~left_apart_point(A39_1063_9, L40_1063_9), ~left_apart_point(A39_1063_9, reverse_line(L40_1063_9))
% 147.15/22.44
% 147.15/22.44 [12719] CLOSURE : ~left_apart_point(A39_1063_9, L40_1063_9)
% 147.15/22.44
% 147.15/22.44 [12611] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [12872] ~(left_apart_point(A39_1092_9, L40_1092_9) | left_apart_point(A39_1092_9, reverse_line(L40_1092_9)))
% 147.15/22.44
% 147.15/22.44 [12872] ALPHA_NOT_OR : ~(left_apart_point(A39_1092_9, L40_1092_9) | left_apart_point(A39_1092_9, reverse_line(L40_1092_9)))
% 147.15/22.44 -> [12873] ~left_apart_point(A39_1092_9, L40_1092_9), ~left_apart_point(A39_1092_9, reverse_line(L40_1092_9))
% 147.15/22.44
% 147.15/22.44 [12873] CLOSURE : ~left_apart_point(A39_1092_9, L40_1092_9)
% 147.15/22.44
% 147.15/22.44 [36] ALPHA_AND : (before_on_line(skolem_L7777, skolem_C8282, skolem_B8181) & before_on_line(skolem_L7777, skolem_B8181, skolem_A8080))
% 147.15/22.44 -> [47] before_on_line(skolem_L7777, skolem_C8282, skolem_B8181), before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 147.15/22.44
% 147.15/22.44 [47] Rewrite : before_on_line(skolem_L7777, skolem_C8282, skolem_B8181)
% 147.15/22.44 -> [58] (((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [58] Rewrite : before_on_line(skolem_L7777, skolem_B8181, skolem_A8080)
% 147.15/22.44 -> [69] (((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.44
% 147.15/22.44 [69] ALPHA_AND : (((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.44 -> [73] ((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [73] ALPHA_AND : (((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))) & ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.44 -> [85] ((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))), ~unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.44
% 147.15/22.44 [85] ALPHA_AND : ((distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.15/22.44 -> [97] (distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.44
% 147.15/22.44 [97] ALPHA_AND : ((distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))) & ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777))))
% 147.15/22.44 -> [101] (distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))), ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.15/22.44
% 147.15/22.44 [101] ALPHA_AND : (distinct_points(skolem_C8282, skolem_B8181) & ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777))))
% 147.15/22.44 -> [104] distinct_points(skolem_C8282, skolem_B8181), ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.15/22.44
% 147.15/22.44 [104] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.44 -> [114] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.15/22.44
% 147.15/22.44 [114] ALPHA_AND : (distinct_points(skolem_B8181, skolem_A8080) & ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777))))
% 147.15/22.44 -> [122] distinct_points(skolem_B8181, skolem_A8080), ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.44
% 147.15/22.44 [122] ALPHA_NOT_OR : ~(left_apart_point(skolem_A8080, skolem_L7777) | left_apart_point(skolem_A8080, reverse_line(skolem_L7777)))
% 147.15/22.44 -> [130] ~left_apart_point(skolem_A8080, skolem_L7777), ~left_apart_point(skolem_A8080, reverse_line(skolem_L7777))
% 147.15/22.44
% 147.15/22.44 [130] ALPHA_NOT_OR : ~(left_apart_point(skolem_C8282, skolem_L7777) | left_apart_point(skolem_C8282, reverse_line(skolem_L7777)))
% 147.15/22.44 -> [138] ~left_apart_point(skolem_C8282, skolem_L7777), ~left_apart_point(skolem_C8282, reverse_line(skolem_L7777))
% 147.15/22.44
% 147.15/22.44 [138] ALPHA_NOT_OR : ~(left_apart_point(skolem_B8181, skolem_L7777) | left_apart_point(skolem_B8181, reverse_line(skolem_L7777)))
% 147.15/22.44 -> [150] ~left_apart_point(skolem_B8181, skolem_L7777), ~left_apart_point(skolem_B8181, reverse_line(skolem_L7777))
% 147.15/22.44
% 147.15/22.44 [150] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [199] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [200] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [200] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [217] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [217] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.44 -> [346] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [347] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [347] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.44 -> [357] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [357] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [747] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.44
% 147.15/22.44 [747] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [797] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.44
% 147.15/22.44 [797] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.44 -> [801] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.44 -> [802] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.44
% 147.15/22.44 [801] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.44
% 147.15/22.44 [802] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.44 -> [1238] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.44 -> [1239] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.44
% 147.15/22.44 [1239] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.44
% 147.15/22.44 [1238] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [1592] ~distinct_lines(N27_16_3, N27_16_3)
% 147.15/22.44
% 147.15/22.44 [1592] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [1701] (distinct_lines(N27_16_3, N27_16_3) => (distinct_lines(N27_16_3, N27_16_3) | distinct_lines(N27_16_3, N27_16_3)))
% 147.15/22.44
% 147.15/22.44 [1701] BETA_IMPLY : (distinct_lines(N27_16_3, N27_16_3) => (distinct_lines(N27_16_3, N27_16_3) | distinct_lines(N27_16_3, N27_16_3)))
% 147.15/22.44 -> [1702] ~distinct_lines(N27_16_3, N27_16_3)
% 147.15/22.44 -> [1703] (distinct_lines(N27_16_3, N27_16_3) | distinct_lines(N27_16_3, N27_16_3))
% 147.15/22.44
% 147.15/22.44 [1703] BETA_OR : (distinct_lines(N27_16_3, N27_16_3) | distinct_lines(N27_16_3, N27_16_3))
% 147.15/22.44 -> [1707] distinct_lines(N27_16_3, N27_16_3)
% 147.15/22.44 -> [1708] distinct_lines(N27_16_3, N27_16_3)
% 147.15/22.44
% 147.15/22.44 [1707] CLOSURE : distinct_lines(N27_16_3, N27_16_3)
% 147.15/22.44
% 147.15/22.44 [1708] CLOSURE : distinct_lines(N27_16_3, N27_16_3)
% 147.15/22.44
% 147.15/22.44 [1702] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [1809] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [1809] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [1832] (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [1832] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_N7979) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878)))
% 147.15/22.44 -> [1833] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [1834] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [1833] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [1834] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_N7979, skolem_M7878))
% 147.15/22.44 -> [3015] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [3016] unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [3015] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [3016] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [4008] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44
% 147.15/22.44 [4008] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44 -> [4009] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [4010] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [4009] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [4039] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [4040] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [4040] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [4039] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [4010] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [6554] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6555] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [6554] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6566] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6566] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [6555] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6557] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6557] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [6605] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [6605] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [6606] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [6607] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [6606] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [6613] ~line(skolem_M7878)
% 147.15/22.44 -> [6614] ~line(skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [6613] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [6690] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [6690] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [6694] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6695] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [6694] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6747] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [6748] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6748] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6747] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [6695] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6700] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [6701] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6701] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6807] ~(left_apart_point(A39_277_9, L40_277_9) | left_apart_point(A39_277_9, reverse_line(L40_277_9)))
% 147.15/22.44
% 147.15/22.44 [6807] ALPHA_NOT_OR : ~(left_apart_point(A39_277_9, L40_277_9) | left_apart_point(A39_277_9, reverse_line(L40_277_9)))
% 147.15/22.44 -> [6810] ~left_apart_point(A39_277_9, L40_277_9), ~left_apart_point(A39_277_9, reverse_line(L40_277_9))
% 147.15/22.44
% 147.15/22.44 [6810] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [6949] ~(left_convergent_lines(L41_65_10, M42_65_10) | left_convergent_lines(L41_65_10, reverse_line(M42_65_10)))
% 147.15/22.44
% 147.15/22.44 [6949] ALPHA_NOT_OR : ~(left_convergent_lines(L41_65_10, M42_65_10) | left_convergent_lines(L41_65_10, reverse_line(M42_65_10)))
% 147.15/22.44 -> [6952] ~left_convergent_lines(L41_65_10, M42_65_10), ~left_convergent_lines(L41_65_10, reverse_line(M42_65_10))
% 147.15/22.44
% 147.15/22.44 [6952] CLOSURE : ~left_convergent_lines(L41_65_10, M42_65_10)
% 147.15/22.44
% 147.15/22.44 [6700] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6854] ~(left_apart_point(A39_291_9, L40_291_9) | left_apart_point(A39_291_9, reverse_line(L40_291_9)))
% 147.15/22.44
% 147.15/22.44 [6854] ALPHA_NOT_OR : ~(left_apart_point(A39_291_9, L40_291_9) | left_apart_point(A39_291_9, reverse_line(L40_291_9)))
% 147.15/22.44 -> [6855] ~left_apart_point(A39_291_9, L40_291_9), ~left_apart_point(A39_291_9, reverse_line(L40_291_9))
% 147.15/22.44
% 147.15/22.44 [6855] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [7007] ~(left_convergent_lines(L41_67_10, M42_67_10) | left_convergent_lines(L41_67_10, reverse_line(M42_67_10)))
% 147.15/22.44
% 147.15/22.44 [7007] ALPHA_NOT_OR : ~(left_convergent_lines(L41_67_10, M42_67_10) | left_convergent_lines(L41_67_10, reverse_line(M42_67_10)))
% 147.15/22.44 -> [7010] ~left_convergent_lines(L41_67_10, M42_67_10), ~left_convergent_lines(L41_67_10, reverse_line(M42_67_10))
% 147.15/22.44
% 147.15/22.44 [7010] CLOSURE : ~left_convergent_lines(L41_67_10, M42_67_10)
% 147.15/22.44
% 147.15/22.44 [6614] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [6645] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [6645] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44 -> [6652] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [6653] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [6652] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [6713] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [6714] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [6714] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [6713] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [6653] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [6663] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [6664] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [6664] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6788] ~(left_apart_point(A39_272_9, L40_272_9) | left_apart_point(A39_272_9, reverse_line(L40_272_9)))
% 147.15/22.44
% 147.15/22.44 [6788] ALPHA_NOT_OR : ~(left_apart_point(A39_272_9, L40_272_9) | left_apart_point(A39_272_9, reverse_line(L40_272_9)))
% 147.15/22.44 -> [6792] ~left_apart_point(A39_272_9, L40_272_9), ~left_apart_point(A39_272_9, reverse_line(L40_272_9))
% 147.15/22.44
% 147.15/22.44 [6792] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [7126] ~(left_convergent_lines(L41_77_10, M42_77_10) | left_convergent_lines(L41_77_10, reverse_line(M42_77_10)))
% 147.15/22.44
% 147.15/22.44 [7126] ALPHA_NOT_OR : ~(left_convergent_lines(L41_77_10, M42_77_10) | left_convergent_lines(L41_77_10, reverse_line(M42_77_10)))
% 147.15/22.44 -> [7127] ~left_convergent_lines(L41_77_10, M42_77_10), ~left_convergent_lines(L41_77_10, reverse_line(M42_77_10))
% 147.15/22.44
% 147.15/22.44 [7127] CLOSURE : ~left_convergent_lines(L41_77_10, M42_77_10)
% 147.15/22.44
% 147.15/22.44 [6663] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6818] ~(left_apart_point(A39_281_9, L40_281_9) | left_apart_point(A39_281_9, reverse_line(L40_281_9)))
% 147.15/22.44
% 147.15/22.44 [6818] ALPHA_NOT_OR : ~(left_apart_point(A39_281_9, L40_281_9) | left_apart_point(A39_281_9, reverse_line(L40_281_9)))
% 147.15/22.44 -> [6821] ~left_apart_point(A39_281_9, L40_281_9), ~left_apart_point(A39_281_9, reverse_line(L40_281_9))
% 147.15/22.44
% 147.15/22.44 [6821] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [7124] ~(left_convergent_lines(L41_76_10, M42_76_10) | left_convergent_lines(L41_76_10, reverse_line(M42_76_10)))
% 147.15/22.44
% 147.15/22.44 [7124] ALPHA_NOT_OR : ~(left_convergent_lines(L41_76_10, M42_76_10) | left_convergent_lines(L41_76_10, reverse_line(M42_76_10)))
% 147.15/22.44 -> [7125] ~left_convergent_lines(L41_76_10, M42_76_10), ~left_convergent_lines(L41_76_10, reverse_line(M42_76_10))
% 147.15/22.44
% 147.15/22.44 [7125] CLOSURE : ~left_convergent_lines(L41_76_10, M42_76_10)
% 147.15/22.44
% 147.15/22.44 [6607] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6608] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [6609] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6608] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [6609] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [6673] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44
% 147.15/22.44 [6673] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.44 -> [6677] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [6678] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44
% 147.15/22.44 [6677] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [6728] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [6729] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [6729] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [6728] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [6678] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [6683] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [6684] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [6683] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6836] ~(left_apart_point(A39_287_9, L40_287_9) | left_apart_point(A39_287_9, reverse_line(L40_287_9)))
% 147.15/22.44
% 147.15/22.44 [6836] ALPHA_NOT_OR : ~(left_apart_point(A39_287_9, L40_287_9) | left_apart_point(A39_287_9, reverse_line(L40_287_9)))
% 147.15/22.44 -> [6837] ~left_apart_point(A39_287_9, L40_287_9), ~left_apart_point(A39_287_9, reverse_line(L40_287_9))
% 147.15/22.44
% 147.15/22.44 [6837] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [7167] ~(left_convergent_lines(L41_80_10, M42_80_10) | left_convergent_lines(L41_80_10, reverse_line(M42_80_10)))
% 147.15/22.44
% 147.15/22.44 [7167] ALPHA_NOT_OR : ~(left_convergent_lines(L41_80_10, M42_80_10) | left_convergent_lines(L41_80_10, reverse_line(M42_80_10)))
% 147.15/22.44 -> [7168] ~left_convergent_lines(L41_80_10, M42_80_10), ~left_convergent_lines(L41_80_10, reverse_line(M42_80_10))
% 147.15/22.44
% 147.15/22.44 [7168] CLOSURE : ~left_convergent_lines(L41_80_10, M42_80_10)
% 147.15/22.44
% 147.15/22.44 [6684] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6797] ~(left_apart_point(A39_274_9, L40_274_9) | left_apart_point(A39_274_9, reverse_line(L40_274_9)))
% 147.15/22.44
% 147.15/22.44 [6797] ALPHA_NOT_OR : ~(left_apart_point(A39_274_9, L40_274_9) | left_apart_point(A39_274_9, reverse_line(L40_274_9)))
% 147.15/22.44 -> [6800] ~left_apart_point(A39_274_9, L40_274_9), ~left_apart_point(A39_274_9, reverse_line(L40_274_9))
% 147.15/22.44
% 147.15/22.44 [6800] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [7190] ~(left_convergent_lines(L41_81_10, M42_81_10) | left_convergent_lines(L41_81_10, reverse_line(M42_81_10)))
% 147.15/22.44
% 147.15/22.44 [7190] ALPHA_NOT_OR : ~(left_convergent_lines(L41_81_10, M42_81_10) | left_convergent_lines(L41_81_10, reverse_line(M42_81_10)))
% 147.15/22.44 -> [7193] ~left_convergent_lines(L41_81_10, M42_81_10), ~left_convergent_lines(L41_81_10, reverse_line(M42_81_10))
% 147.15/22.44
% 147.15/22.44 [7193] CLOSURE : ~left_convergent_lines(L41_81_10, M42_81_10)
% 147.15/22.44
% 147.15/22.44 [346] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [412] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.44 -> [413] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [413] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [419] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [419] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [422] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.44 -> [423] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [423] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [422] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [412] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.44 -> [440] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.15/22.44 -> [441] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [440] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [746] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.44
% 147.15/22.44 [746] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [873] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.44
% 147.15/22.44 [873] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.44 -> [876] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.44 -> [877] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.44
% 147.15/22.44 [876] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.44
% 147.15/22.44 [877] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.44 -> [2191] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.44 -> [2192] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.44
% 147.15/22.44 [2192] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.44
% 147.15/22.44 [2191] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [3182] ~distinct_lines(N27_107_3, N27_107_3)
% 147.15/22.44
% 147.15/22.44 [3182] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [3273] (distinct_lines(N27_107_3, N27_107_3) => (distinct_lines(N27_107_3, N27_107_3) | distinct_lines(N27_107_3, N27_107_3)))
% 147.15/22.44
% 147.15/22.44 [3273] BETA_IMPLY : (distinct_lines(N27_107_3, N27_107_3) => (distinct_lines(N27_107_3, N27_107_3) | distinct_lines(N27_107_3, N27_107_3)))
% 147.15/22.44 -> [3274] ~distinct_lines(N27_107_3, N27_107_3)
% 147.15/22.44 -> [3275] (distinct_lines(N27_107_3, N27_107_3) | distinct_lines(N27_107_3, N27_107_3))
% 147.15/22.44
% 147.15/22.44 [3275] BETA_OR : (distinct_lines(N27_107_3, N27_107_3) | distinct_lines(N27_107_3, N27_107_3))
% 147.15/22.44 -> [3276] distinct_lines(N27_107_3, N27_107_3)
% 147.15/22.44 -> [3277] distinct_lines(N27_107_3, N27_107_3)
% 147.15/22.44
% 147.15/22.44 [3276] CLOSURE : distinct_lines(N27_107_3, N27_107_3)
% 147.15/22.44
% 147.15/22.44 [3277] CLOSURE : distinct_lines(N27_107_3, N27_107_3)
% 147.15/22.44
% 147.15/22.44 [3274] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [3442] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [3442] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [3448] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [3448] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878)))
% 147.15/22.44 -> [3450] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [3451] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [3450] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [3451] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878))
% 147.15/22.44 -> [3985] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [3986] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [3985] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [3986] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [4223] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44
% 147.15/22.44 [4223] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44 -> [4230] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [4231] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [4230] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [4295] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [4296] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [4296] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [4295] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [4231] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [6856] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6857] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [6856] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6864] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6864] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [6857] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6859] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6859] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [6882] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [6882] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [6887] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [6888] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [6888] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6892] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [6893] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6892] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [6893] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [6927] ((unequally_directed_lines(skolem_N7979, M38_176_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_176_8))) => (left_convergent_lines(skolem_N7979, M38_176_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_176_8))))
% 147.15/22.44
% 147.15/22.44 [6927] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_176_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_176_8))) => (left_convergent_lines(skolem_N7979, M38_176_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_176_8))))
% 147.15/22.44 -> [6928] ~(unequally_directed_lines(skolem_N7979, M38_176_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_176_8)))
% 147.15/22.44 -> [6929] (left_convergent_lines(skolem_N7979, M38_176_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_176_8)))
% 147.15/22.44
% 147.15/22.44 [6928] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_176_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_176_8)))
% 147.15/22.44 -> [6938] ~unequally_directed_lines(skolem_N7979, M38_176_8)
% 147.15/22.44 -> [6939] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_176_8))
% 147.15/22.44
% 147.15/22.44 [6939] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_176_8))
% 147.15/22.44
% 147.15/22.44 [6938] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_176_8)
% 147.15/22.44
% 147.15/22.44 [6929] BETA_OR : (left_convergent_lines(skolem_N7979, M38_176_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_176_8)))
% 147.15/22.44 -> [6935] left_convergent_lines(skolem_N7979, M38_176_8)
% 147.15/22.44 -> [6936] left_convergent_lines(skolem_N7979, reverse_line(M38_176_8))
% 147.15/22.44
% 147.15/22.44 [6936] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6955] ~(left_apart_point(A39_301_9, L40_301_9) | left_apart_point(A39_301_9, reverse_line(L40_301_9)))
% 147.15/22.44
% 147.15/22.44 [6955] ALPHA_NOT_OR : ~(left_apart_point(A39_301_9, L40_301_9) | left_apart_point(A39_301_9, reverse_line(L40_301_9)))
% 147.15/22.44 -> [6956] ~left_apart_point(A39_301_9, L40_301_9), ~left_apart_point(A39_301_9, reverse_line(L40_301_9))
% 147.15/22.44
% 147.15/22.44 [6956] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [6999] ~(left_convergent_lines(L41_66_10, M42_66_10) | left_convergent_lines(L41_66_10, reverse_line(M42_66_10)))
% 147.15/22.44
% 147.15/22.44 [6999] ALPHA_NOT_OR : ~(left_convergent_lines(L41_66_10, M42_66_10) | left_convergent_lines(L41_66_10, reverse_line(M42_66_10)))
% 147.15/22.44 -> [7001] ~left_convergent_lines(L41_66_10, M42_66_10), ~left_convergent_lines(L41_66_10, reverse_line(M42_66_10))
% 147.15/22.44
% 147.15/22.44 [7001] CLOSURE : ~left_convergent_lines(L41_66_10, M42_66_10)
% 147.15/22.44
% 147.15/22.44 [6935] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6961] ~(left_apart_point(A39_302_9, L40_302_9) | left_apart_point(A39_302_9, reverse_line(L40_302_9)))
% 147.15/22.44
% 147.15/22.44 [6961] ALPHA_NOT_OR : ~(left_apart_point(A39_302_9, L40_302_9) | left_apart_point(A39_302_9, reverse_line(L40_302_9)))
% 147.15/22.44 -> [6962] ~left_apart_point(A39_302_9, L40_302_9), ~left_apart_point(A39_302_9, reverse_line(L40_302_9))
% 147.15/22.44
% 147.15/22.44 [6962] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [7008] ~(left_convergent_lines(L41_68_10, M42_68_10) | left_convergent_lines(L41_68_10, reverse_line(M42_68_10)))
% 147.15/22.44
% 147.15/22.44 [7008] ALPHA_NOT_OR : ~(left_convergent_lines(L41_68_10, M42_68_10) | left_convergent_lines(L41_68_10, reverse_line(M42_68_10)))
% 147.15/22.44 -> [7011] ~left_convergent_lines(L41_68_10, M42_68_10), ~left_convergent_lines(L41_68_10, reverse_line(M42_68_10))
% 147.15/22.44
% 147.15/22.44 [7011] CLOSURE : ~left_convergent_lines(L41_68_10, M42_68_10)
% 147.15/22.44
% 147.15/22.44 [6887] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [6906] ~line(skolem_M7878)
% 147.15/22.44 -> [6907] ~line(skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [6906] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [7376] ((unequally_directed_lines(skolem_N7979, M38_202_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_202_8))) => (left_convergent_lines(skolem_N7979, M38_202_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_202_8))))
% 147.15/22.44
% 147.15/22.44 [7376] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_202_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_202_8))) => (left_convergent_lines(skolem_N7979, M38_202_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_202_8))))
% 147.15/22.44 -> [7379] ~(unequally_directed_lines(skolem_N7979, M38_202_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_202_8)))
% 147.15/22.44 -> [7380] (left_convergent_lines(skolem_N7979, M38_202_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_202_8)))
% 147.15/22.44
% 147.15/22.44 [7379] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_202_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_202_8)))
% 147.15/22.44 -> [7409] ~unequally_directed_lines(skolem_N7979, M38_202_8)
% 147.15/22.44 -> [7410] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_202_8))
% 147.15/22.44
% 147.15/22.44 [7410] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_202_8))
% 147.15/22.44
% 147.15/22.44 [7409] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_202_8)
% 147.15/22.44
% 147.15/22.44 [7380] BETA_OR : (left_convergent_lines(skolem_N7979, M38_202_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_202_8)))
% 147.15/22.44 -> [7385] left_convergent_lines(skolem_N7979, M38_202_8)
% 147.15/22.44 -> [7386] left_convergent_lines(skolem_N7979, reverse_line(M38_202_8))
% 147.15/22.44
% 147.15/22.44 [7386] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [7505] ~(left_apart_point(A39_360_9, L40_360_9) | left_apart_point(A39_360_9, reverse_line(L40_360_9)))
% 147.15/22.44
% 147.15/22.44 [7505] ALPHA_NOT_OR : ~(left_apart_point(A39_360_9, L40_360_9) | left_apart_point(A39_360_9, reverse_line(L40_360_9)))
% 147.15/22.44 -> [7506] ~left_apart_point(A39_360_9, L40_360_9), ~left_apart_point(A39_360_9, reverse_line(L40_360_9))
% 147.15/22.44
% 147.15/22.44 [7506] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [7734] ~(left_convergent_lines(L41_101_10, M42_101_10) | left_convergent_lines(L41_101_10, reverse_line(M42_101_10)))
% 147.15/22.44
% 147.15/22.44 [7734] ALPHA_NOT_OR : ~(left_convergent_lines(L41_101_10, M42_101_10) | left_convergent_lines(L41_101_10, reverse_line(M42_101_10)))
% 147.15/22.44 -> [7739] ~left_convergent_lines(L41_101_10, M42_101_10), ~left_convergent_lines(L41_101_10, reverse_line(M42_101_10))
% 147.15/22.44
% 147.15/22.44 [7739] CLOSURE : ~left_convergent_lines(L41_101_10, M42_101_10)
% 147.15/22.44
% 147.15/22.44 [7385] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [7501] ~(left_apart_point(A39_359_9, L40_359_9) | left_apart_point(A39_359_9, reverse_line(L40_359_9)))
% 147.15/22.44
% 147.15/22.44 [7501] ALPHA_NOT_OR : ~(left_apart_point(A39_359_9, L40_359_9) | left_apart_point(A39_359_9, reverse_line(L40_359_9)))
% 147.15/22.44 -> [7502] ~left_apart_point(A39_359_9, L40_359_9), ~left_apart_point(A39_359_9, reverse_line(L40_359_9))
% 147.15/22.44
% 147.15/22.44 [7502] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [7757] ~(left_convergent_lines(L41_103_10, M42_103_10) | left_convergent_lines(L41_103_10, reverse_line(M42_103_10)))
% 147.15/22.44
% 147.15/22.44 [7757] ALPHA_NOT_OR : ~(left_convergent_lines(L41_103_10, M42_103_10) | left_convergent_lines(L41_103_10, reverse_line(M42_103_10)))
% 147.15/22.44 -> [7760] ~left_convergent_lines(L41_103_10, M42_103_10), ~left_convergent_lines(L41_103_10, reverse_line(M42_103_10))
% 147.15/22.44
% 147.15/22.44 [7760] CLOSURE : ~left_convergent_lines(L41_103_10, M42_103_10)
% 147.15/22.44
% 147.15/22.44 [6907] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [7404] ((unequally_directed_lines(skolem_N7979, M38_204_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_204_8))) => (left_convergent_lines(skolem_N7979, M38_204_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_204_8))))
% 147.15/22.44
% 147.15/22.44 [7404] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_204_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_204_8))) => (left_convergent_lines(skolem_N7979, M38_204_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_204_8))))
% 147.15/22.44 -> [7405] ~(unequally_directed_lines(skolem_N7979, M38_204_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_204_8)))
% 147.15/22.44 -> [7406] (left_convergent_lines(skolem_N7979, M38_204_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_204_8)))
% 147.15/22.44
% 147.15/22.44 [7405] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_204_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_204_8)))
% 147.15/22.44 -> [7453] ~unequally_directed_lines(skolem_N7979, M38_204_8)
% 147.15/22.44 -> [7454] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_204_8))
% 147.15/22.44
% 147.15/22.44 [7454] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_204_8))
% 147.15/22.44
% 147.15/22.44 [7453] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_204_8)
% 147.15/22.44
% 147.15/22.44 [7406] BETA_OR : (left_convergent_lines(skolem_N7979, M38_204_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_204_8)))
% 147.15/22.44 -> [7411] left_convergent_lines(skolem_N7979, M38_204_8)
% 147.15/22.44 -> [7412] left_convergent_lines(skolem_N7979, reverse_line(M38_204_8))
% 147.15/22.44
% 147.15/22.44 [7411] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8074] ~(left_apart_point(A39_439_9, L40_439_9) | left_apart_point(A39_439_9, reverse_line(L40_439_9)))
% 147.15/22.44
% 147.15/22.44 [8074] ALPHA_NOT_OR : ~(left_apart_point(A39_439_9, L40_439_9) | left_apart_point(A39_439_9, reverse_line(L40_439_9)))
% 147.15/22.44 -> [8075] ~left_apart_point(A39_439_9, L40_439_9), ~left_apart_point(A39_439_9, reverse_line(L40_439_9))
% 147.15/22.44
% 147.15/22.44 [8075] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [8316] ~(left_convergent_lines(L41_117_10, M42_117_10) | left_convergent_lines(L41_117_10, reverse_line(M42_117_10)))
% 147.15/22.44
% 147.15/22.44 [8316] ALPHA_NOT_OR : ~(left_convergent_lines(L41_117_10, M42_117_10) | left_convergent_lines(L41_117_10, reverse_line(M42_117_10)))
% 147.15/22.44 -> [8317] ~left_convergent_lines(L41_117_10, M42_117_10), ~left_convergent_lines(L41_117_10, reverse_line(M42_117_10))
% 147.15/22.44
% 147.15/22.44 [8317] CLOSURE : ~left_convergent_lines(L41_117_10, M42_117_10)
% 147.15/22.44
% 147.15/22.44 [7412] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8392] ~(left_apart_point(A39_486_9, L40_486_9) | left_apart_point(A39_486_9, reverse_line(L40_486_9)))
% 147.15/22.44
% 147.15/22.44 [8392] ALPHA_NOT_OR : ~(left_apart_point(A39_486_9, L40_486_9) | left_apart_point(A39_486_9, reverse_line(L40_486_9)))
% 147.15/22.44 -> [8394] ~left_apart_point(A39_486_9, L40_486_9), ~left_apart_point(A39_486_9, reverse_line(L40_486_9))
% 147.15/22.44
% 147.15/22.44 [8394] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.44 -> [8520] ~(left_convergent_lines(L41_135_10, M42_135_10) | left_convergent_lines(L41_135_10, reverse_line(M42_135_10)))
% 147.15/22.44
% 147.15/22.44 [8520] ALPHA_NOT_OR : ~(left_convergent_lines(L41_135_10, M42_135_10) | left_convergent_lines(L41_135_10, reverse_line(M42_135_10)))
% 147.15/22.44 -> [8524] ~left_convergent_lines(L41_135_10, M42_135_10), ~left_convergent_lines(L41_135_10, reverse_line(M42_135_10))
% 147.15/22.44
% 147.15/22.44 [8524] CLOSURE : ~left_convergent_lines(L41_135_10, M42_135_10)
% 147.15/22.44
% 147.15/22.44 [441] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44 -> [451] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [451] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.44 -> [453] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.44 -> [454] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [453] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [779] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [779] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [835] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [835] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.44 -> [837] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.44 -> [838] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [837] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.44
% 147.15/22.44 [838] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.44 -> [1772] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44 -> [1773] distinct_points(skolem_A8080, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1772] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.44
% 147.15/22.44 [1773] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [1947] ~distinct_lines(M26_33_3, M26_33_3)
% 147.15/22.44
% 147.15/22.44 [1947] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [1954] (distinct_lines(M26_33_3, M26_33_3) => (distinct_lines(M26_33_3, M26_33_3) | distinct_lines(M26_33_3, M26_33_3)))
% 147.15/22.44
% 147.15/22.44 [1954] BETA_IMPLY : (distinct_lines(M26_33_3, M26_33_3) => (distinct_lines(M26_33_3, M26_33_3) | distinct_lines(M26_33_3, M26_33_3)))
% 147.15/22.44 -> [1955] ~distinct_lines(M26_33_3, M26_33_3)
% 147.15/22.44 -> [1956] (distinct_lines(M26_33_3, M26_33_3) | distinct_lines(M26_33_3, M26_33_3))
% 147.15/22.44
% 147.15/22.44 [1956] BETA_OR : (distinct_lines(M26_33_3, M26_33_3) | distinct_lines(M26_33_3, M26_33_3))
% 147.15/22.44 -> [1961] distinct_lines(M26_33_3, M26_33_3)
% 147.15/22.44 -> [1962] distinct_lines(M26_33_3, M26_33_3)
% 147.15/22.44
% 147.15/22.44 [1961] CLOSURE : distinct_lines(M26_33_3, M26_33_3)
% 147.15/22.44
% 147.15/22.44 [1962] CLOSURE : distinct_lines(M26_33_3, M26_33_3)
% 147.15/22.44
% 147.15/22.44 [1955] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [1972] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [1972] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [1980] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44
% 147.15/22.44 [1980] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44 -> [1981] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [1982] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [1981] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [1982] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [2892] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [2893] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [2893] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [2892] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [4103] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_36_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_36_6))) | (unequally_directed_lines(skolem_N7979, N34_36_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_36_6)))))
% 147.15/22.44
% 147.15/22.44 [4103] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_36_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_36_6))) | (unequally_directed_lines(skolem_N7979, N34_36_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_36_6)))))
% 147.15/22.44 -> [4104] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [4105] ((unequally_directed_lines(skolem_M7878, N34_36_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_36_6))) | (unequally_directed_lines(skolem_N7979, N34_36_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_36_6))))
% 147.15/22.44
% 147.15/22.44 [4104] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [4373] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [4374] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [4374] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [4373] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [4105] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_36_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_36_6))) | (unequally_directed_lines(skolem_N7979, N34_36_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_36_6))))
% 147.15/22.44 -> [6061] (unequally_directed_lines(skolem_M7878, N34_36_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_36_6)))
% 147.15/22.44 -> [6062] (unequally_directed_lines(skolem_N7979, N34_36_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_36_6)))
% 147.15/22.44
% 147.15/22.44 [6061] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_36_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_36_6)))
% 147.15/22.44 -> [6073] unequally_directed_lines(skolem_M7878, N34_36_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_36_6))
% 147.15/22.44
% 147.15/22.44 [6073] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [6132] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.44
% 147.15/22.44 [6132] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.44 -> [6133] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [6134] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44
% 147.15/22.44 [6134] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44 -> [6137] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [6138] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [6137] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [6138] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [6255] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [6255] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [6258] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6259] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [6258] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6321] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [6322] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6321] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [6322] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6259] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6262] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [6263] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6262] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [7006] ~(left_apart_point(A39_314_9, L40_314_9) | left_apart_point(A39_314_9, reverse_line(L40_314_9)))
% 147.15/22.44
% 147.15/22.44 [7006] ALPHA_NOT_OR : ~(left_apart_point(A39_314_9, L40_314_9) | left_apart_point(A39_314_9, reverse_line(L40_314_9)))
% 147.15/22.44 -> [7009] ~left_apart_point(A39_314_9, L40_314_9), ~left_apart_point(A39_314_9, reverse_line(L40_314_9))
% 147.15/22.44
% 147.15/22.44 [7009] CLOSURE : ~left_apart_point(A39_314_9, L40_314_9)
% 147.15/22.44
% 147.15/22.44 [6263] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6416] ~(left_apart_point(A39_243_9, L40_243_9) | left_apart_point(A39_243_9, reverse_line(L40_243_9)))
% 147.15/22.44
% 147.15/22.44 [6416] ALPHA_NOT_OR : ~(left_apart_point(A39_243_9, L40_243_9) | left_apart_point(A39_243_9, reverse_line(L40_243_9)))
% 147.15/22.44 -> [6421] ~left_apart_point(A39_243_9, L40_243_9), ~left_apart_point(A39_243_9, reverse_line(L40_243_9))
% 147.15/22.44
% 147.15/22.44 [6421] CLOSURE : ~left_apart_point(A39_243_9, L40_243_9)
% 147.15/22.44
% 147.15/22.44 [6133] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [6148] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [6149] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [6149] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [6240] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [6240] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [6245] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6246] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [6245] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6309] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [6310] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6309] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [6310] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6246] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6250] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [6251] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6250] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6858] ~(left_apart_point(A39_292_9, L40_292_9) | left_apart_point(A39_292_9, reverse_line(L40_292_9)))
% 147.15/22.44
% 147.15/22.44 [6858] ALPHA_NOT_OR : ~(left_apart_point(A39_292_9, L40_292_9) | left_apart_point(A39_292_9, reverse_line(L40_292_9)))
% 147.15/22.44 -> [6860] ~left_apart_point(A39_292_9, L40_292_9), ~left_apart_point(A39_292_9, reverse_line(L40_292_9))
% 147.15/22.44
% 147.15/22.44 [6860] CLOSURE : ~left_apart_point(A39_292_9, L40_292_9)
% 147.15/22.44
% 147.15/22.44 [6251] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6409] ~(left_apart_point(A39_242_9, L40_242_9) | left_apart_point(A39_242_9, reverse_line(L40_242_9)))
% 147.15/22.44
% 147.15/22.44 [6409] ALPHA_NOT_OR : ~(left_apart_point(A39_242_9, L40_242_9) | left_apart_point(A39_242_9, reverse_line(L40_242_9)))
% 147.15/22.44 -> [6414] ~left_apart_point(A39_242_9, L40_242_9), ~left_apart_point(A39_242_9, reverse_line(L40_242_9))
% 147.15/22.44
% 147.15/22.44 [6414] CLOSURE : ~left_apart_point(A39_242_9, L40_242_9)
% 147.15/22.44
% 147.15/22.44 [6148] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [6297] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [6297] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [6298] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6299] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [6298] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6364] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [6365] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6364] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [6365] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6299] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [6302] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.44 -> [6303] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [6302] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6442] ~(left_apart_point(A39_246_9, L40_246_9) | left_apart_point(A39_246_9, reverse_line(L40_246_9)))
% 147.15/22.44
% 147.15/22.44 [6442] ALPHA_NOT_OR : ~(left_apart_point(A39_246_9, L40_246_9) | left_apart_point(A39_246_9, reverse_line(L40_246_9)))
% 147.15/22.44 -> [6446] ~left_apart_point(A39_246_9, L40_246_9), ~left_apart_point(A39_246_9, reverse_line(L40_246_9))
% 147.15/22.44
% 147.15/22.44 [6446] CLOSURE : ~left_apart_point(A39_246_9, L40_246_9)
% 147.15/22.44
% 147.15/22.44 [6303] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6437] ~(left_apart_point(A39_245_9, L40_245_9) | left_apart_point(A39_245_9, reverse_line(L40_245_9)))
% 147.15/22.44
% 147.15/22.44 [6437] ALPHA_NOT_OR : ~(left_apart_point(A39_245_9, L40_245_9) | left_apart_point(A39_245_9, reverse_line(L40_245_9)))
% 147.15/22.44 -> [6438] ~left_apart_point(A39_245_9, L40_245_9), ~left_apart_point(A39_245_9, reverse_line(L40_245_9))
% 147.15/22.44
% 147.15/22.44 [6438] CLOSURE : ~left_apart_point(A39_245_9, L40_245_9)
% 147.15/22.44
% 147.15/22.44 [6062] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_36_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_36_6)))
% 147.15/22.44 -> [6067] unequally_directed_lines(skolem_N7979, N34_36_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_36_6))
% 147.15/22.44
% 147.15/22.44 [6067] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [6123] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.44
% 147.15/22.44 [6123] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))))
% 147.15/22.44 -> [6125] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [6126] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44
% 147.15/22.44 [6126] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))))
% 147.15/22.44 -> [6127] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [6128] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44
% 147.15/22.44 [6127] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [6128] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [6219] ((unequally_directed_lines(skolem_N7979, M38_127_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_127_8))) => (left_convergent_lines(skolem_N7979, M38_127_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_127_8))))
% 147.15/22.44
% 147.15/22.44 [6219] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_127_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_127_8))) => (left_convergent_lines(skolem_N7979, M38_127_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_127_8))))
% 147.15/22.44 -> [6223] ~(unequally_directed_lines(skolem_N7979, M38_127_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_127_8)))
% 147.15/22.44 -> [6224] (left_convergent_lines(skolem_N7979, M38_127_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_127_8)))
% 147.15/22.44
% 147.15/22.44 [6224] BETA_OR : (left_convergent_lines(skolem_N7979, M38_127_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_127_8)))
% 147.15/22.44 -> [6231] left_convergent_lines(skolem_N7979, M38_127_8)
% 147.15/22.44 -> [6232] left_convergent_lines(skolem_N7979, reverse_line(M38_127_8))
% 147.15/22.44
% 147.15/22.44 [6232] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6814] ~(left_apart_point(A39_279_9, L40_279_9) | left_apart_point(A39_279_9, reverse_line(L40_279_9)))
% 147.15/22.44
% 147.15/22.44 [6814] ALPHA_NOT_OR : ~(left_apart_point(A39_279_9, L40_279_9) | left_apart_point(A39_279_9, reverse_line(L40_279_9)))
% 147.15/22.44 -> [6816] ~left_apart_point(A39_279_9, L40_279_9), ~left_apart_point(A39_279_9, reverse_line(L40_279_9))
% 147.15/22.44
% 147.15/22.44 [6816] CLOSURE : ~left_apart_point(A39_279_9, L40_279_9)
% 147.15/22.44
% 147.15/22.44 [6231] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [7118] ~(left_apart_point(A39_320_9, L40_320_9) | left_apart_point(A39_320_9, reverse_line(L40_320_9)))
% 147.15/22.44
% 147.15/22.44 [7118] ALPHA_NOT_OR : ~(left_apart_point(A39_320_9, L40_320_9) | left_apart_point(A39_320_9, reverse_line(L40_320_9)))
% 147.15/22.44 -> [7119] ~left_apart_point(A39_320_9, L40_320_9), ~left_apart_point(A39_320_9, reverse_line(L40_320_9))
% 147.15/22.44
% 147.15/22.44 [7119] CLOSURE : ~left_apart_point(A39_320_9, L40_320_9)
% 147.15/22.44
% 147.15/22.44 [6223] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_127_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_127_8)))
% 147.15/22.44 -> [6871] ~unequally_directed_lines(skolem_N7979, M38_127_8)
% 147.15/22.44 -> [6872] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_127_8))
% 147.15/22.44
% 147.15/22.44 [6871] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_127_8)
% 147.15/22.44
% 147.15/22.44 [6872] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_127_8))
% 147.15/22.44
% 147.15/22.44 [6125] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)))
% 147.15/22.44 -> [6139] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [6140] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [6139] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [6268] ((unequally_directed_lines(skolem_N7979, M38_134_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_134_8))) => (left_convergent_lines(skolem_N7979, M38_134_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_134_8))))
% 147.15/22.44
% 147.15/22.44 [6268] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_134_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_134_8))) => (left_convergent_lines(skolem_N7979, M38_134_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_134_8))))
% 147.15/22.44 -> [6271] ~(unequally_directed_lines(skolem_N7979, M38_134_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_134_8)))
% 147.15/22.44 -> [6272] (left_convergent_lines(skolem_N7979, M38_134_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_134_8)))
% 147.15/22.44
% 147.15/22.44 [6271] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_134_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_134_8)))
% 147.15/22.44 -> [6337] ~unequally_directed_lines(skolem_N7979, M38_134_8)
% 147.15/22.44 -> [6338] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_134_8))
% 147.15/22.44
% 147.15/22.44 [6338] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_134_8))
% 147.15/22.44
% 147.15/22.44 [6337] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_134_8)
% 147.15/22.44
% 147.15/22.44 [6272] BETA_OR : (left_convergent_lines(skolem_N7979, M38_134_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_134_8)))
% 147.15/22.44 -> [6284] left_convergent_lines(skolem_N7979, M38_134_8)
% 147.15/22.44 -> [6285] left_convergent_lines(skolem_N7979, reverse_line(M38_134_8))
% 147.15/22.44
% 147.15/22.44 [6284] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [8308] ~(left_apart_point(A39_478_9, L40_478_9) | left_apart_point(A39_478_9, reverse_line(L40_478_9)))
% 147.15/22.44
% 147.15/22.44 [8308] ALPHA_NOT_OR : ~(left_apart_point(A39_478_9, L40_478_9) | left_apart_point(A39_478_9, reverse_line(L40_478_9)))
% 147.15/22.44 -> [8310] ~left_apart_point(A39_478_9, L40_478_9), ~left_apart_point(A39_478_9, reverse_line(L40_478_9))
% 147.15/22.44
% 147.15/22.44 [8310] CLOSURE : ~left_apart_point(A39_478_9, L40_478_9)
% 147.15/22.44
% 147.15/22.44 [6285] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6433] ~(left_apart_point(A39_244_9, L40_244_9) | left_apart_point(A39_244_9, reverse_line(L40_244_9)))
% 147.15/22.44
% 147.15/22.44 [6433] ALPHA_NOT_OR : ~(left_apart_point(A39_244_9, L40_244_9) | left_apart_point(A39_244_9, reverse_line(L40_244_9)))
% 147.15/22.44 -> [6434] ~left_apart_point(A39_244_9, L40_244_9), ~left_apart_point(A39_244_9, reverse_line(L40_244_9))
% 147.15/22.44
% 147.15/22.44 [6434] CLOSURE : ~left_apart_point(A39_244_9, L40_244_9)
% 147.15/22.44
% 147.15/22.44 [6140] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [6196] ((unequally_directed_lines(skolem_N7979, M38_126_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_126_8))) => (left_convergent_lines(skolem_N7979, M38_126_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_126_8))))
% 147.15/22.44
% 147.15/22.44 [6196] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_126_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_126_8))) => (left_convergent_lines(skolem_N7979, M38_126_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_126_8))))
% 147.15/22.44 -> [6197] ~(unequally_directed_lines(skolem_N7979, M38_126_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_126_8)))
% 147.15/22.44 -> [6198] (left_convergent_lines(skolem_N7979, M38_126_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_126_8)))
% 147.15/22.44
% 147.15/22.44 [6198] BETA_OR : (left_convergent_lines(skolem_N7979, M38_126_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_126_8)))
% 147.15/22.44 -> [6204] left_convergent_lines(skolem_N7979, M38_126_8)
% 147.15/22.44 -> [6205] left_convergent_lines(skolem_N7979, reverse_line(M38_126_8))
% 147.15/22.44
% 147.15/22.44 [6204] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6840] ~(left_apart_point(A39_288_9, L40_288_9) | left_apart_point(A39_288_9, reverse_line(L40_288_9)))
% 147.15/22.44
% 147.15/22.44 [6840] ALPHA_NOT_OR : ~(left_apart_point(A39_288_9, L40_288_9) | left_apart_point(A39_288_9, reverse_line(L40_288_9)))
% 147.15/22.44 -> [6841] ~left_apart_point(A39_288_9, L40_288_9), ~left_apart_point(A39_288_9, reverse_line(L40_288_9))
% 147.15/22.44
% 147.15/22.44 [6841] CLOSURE : ~left_apart_point(A39_288_9, L40_288_9)
% 147.15/22.44
% 147.15/22.44 [6205] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [6905] ~(left_apart_point(A39_295_9, L40_295_9) | left_apart_point(A39_295_9, reverse_line(L40_295_9)))
% 147.15/22.44
% 147.15/22.44 [6905] ALPHA_NOT_OR : ~(left_apart_point(A39_295_9, L40_295_9) | left_apart_point(A39_295_9, reverse_line(L40_295_9)))
% 147.15/22.44 -> [6910] ~left_apart_point(A39_295_9, L40_295_9), ~left_apart_point(A39_295_9, reverse_line(L40_295_9))
% 147.15/22.44
% 147.15/22.44 [6910] CLOSURE : ~left_apart_point(A39_295_9, L40_295_9)
% 147.15/22.44
% 147.15/22.44 [6197] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_126_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_126_8)))
% 147.15/22.44 -> [6293] ~unequally_directed_lines(skolem_N7979, M38_126_8)
% 147.15/22.44 -> [6294] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_126_8))
% 147.15/22.44
% 147.15/22.44 [6294] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_126_8))
% 147.15/22.44
% 147.15/22.44 [6293] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_126_8)
% 147.15/22.44
% 147.15/22.44 [454] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.44 -> [870] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.44
% 147.15/22.44 [870] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.44 -> [972] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.44
% 147.15/22.44 [972] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.44 -> [973] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.44 -> [974] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.44
% 147.15/22.44 [973] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.44
% 147.15/22.44 [974] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.44 -> [1872] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.44 -> [1873] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.44
% 147.15/22.44 [1873] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.44
% 147.15/22.44 [1872] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.44 -> [2800] ~distinct_lines(N27_78_3, N27_78_3)
% 147.15/22.44
% 147.15/22.44 [2800] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.44 -> [2812] (distinct_lines(N27_78_3, N27_78_3) => (distinct_lines(N27_78_3, N27_78_3) | distinct_lines(N27_78_3, N27_78_3)))
% 147.15/22.44
% 147.15/22.44 [2812] BETA_IMPLY : (distinct_lines(N27_78_3, N27_78_3) => (distinct_lines(N27_78_3, N27_78_3) | distinct_lines(N27_78_3, N27_78_3)))
% 147.15/22.44 -> [2813] ~distinct_lines(N27_78_3, N27_78_3)
% 147.15/22.44 -> [2814] (distinct_lines(N27_78_3, N27_78_3) | distinct_lines(N27_78_3, N27_78_3))
% 147.15/22.44
% 147.15/22.44 [2814] BETA_OR : (distinct_lines(N27_78_3, N27_78_3) | distinct_lines(N27_78_3, N27_78_3))
% 147.15/22.44 -> [2815] distinct_lines(N27_78_3, N27_78_3)
% 147.15/22.44 -> [2816] distinct_lines(N27_78_3, N27_78_3)
% 147.15/22.44
% 147.15/22.44 [2816] CLOSURE : distinct_lines(N27_78_3, N27_78_3)
% 147.15/22.44
% 147.15/22.44 [2815] CLOSURE : distinct_lines(N27_78_3, N27_78_3)
% 147.15/22.44
% 147.15/22.44 [2813] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.44 -> [2855] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [2855] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.44 -> [2922] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [2922] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878)))
% 147.15/22.44 -> [2923] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44 -> [2924] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [2923] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181))
% 147.15/22.44
% 147.15/22.44 [2924] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878))
% 147.15/22.44 -> [4678] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44 -> [4679] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181), skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [4678] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [4679] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.44 -> [5565] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44
% 147.15/22.44 [5565] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.44 -> [5568] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [5569] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [5568] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.44 -> [5605] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44 -> [5606] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [5606] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.44
% 147.15/22.44 [5605] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.44
% 147.15/22.44 [5569] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [8769] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [8770] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [8769] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [8778] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [8778] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [8770] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.44 -> [8775] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.44
% 147.15/22.44 [8775] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.44 -> [8787] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44
% 147.15/22.44 [8787] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.44 -> [8788] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [8789] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.44
% 147.15/22.44 [8788] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.44 -> [8798] ~line(skolem_M7878)
% 147.15/22.44 -> [8799] ~line(skolem_M7878)
% 147.15/22.44
% 147.15/22.44 [8799] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.44 -> [8830] ((unequally_directed_lines(skolem_N7979, M38_281_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_281_8))) => (left_convergent_lines(skolem_N7979, M38_281_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_281_8))))
% 147.15/22.44
% 147.15/22.44 [8830] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_281_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_281_8))) => (left_convergent_lines(skolem_N7979, M38_281_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_281_8))))
% 147.15/22.44 -> [8832] ~(unequally_directed_lines(skolem_N7979, M38_281_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_281_8)))
% 147.15/22.44 -> [8833] (left_convergent_lines(skolem_N7979, M38_281_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_281_8)))
% 147.15/22.44
% 147.15/22.44 [8833] BETA_OR : (left_convergent_lines(skolem_N7979, M38_281_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_281_8)))
% 147.15/22.44 -> [8837] left_convergent_lines(skolem_N7979, M38_281_8)
% 147.15/22.44 -> [8838] left_convergent_lines(skolem_N7979, reverse_line(M38_281_8))
% 147.15/22.44
% 147.15/22.44 [8838] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.44 -> [9130] ~(left_apart_point(A39_575_9, L40_575_9) | left_apart_point(A39_575_9, reverse_line(L40_575_9)))
% 147.15/22.44
% 147.15/22.44 [9130] ALPHA_NOT_OR : ~(left_apart_point(A39_575_9, L40_575_9) | left_apart_point(A39_575_9, reverse_line(L40_575_9)))
% 147.15/22.44 -> [9134] ~left_apart_point(A39_575_9, L40_575_9), ~left_apart_point(A39_575_9, reverse_line(L40_575_9))
% 147.15/22.45
% 147.15/22.45 [9134] CLOSURE : ~left_apart_point(A39_575_9, L40_575_9)
% 147.15/22.45
% 147.15/22.45 [8837] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [9210] ~(left_apart_point(A39_581_9, L40_581_9) | left_apart_point(A39_581_9, reverse_line(L40_581_9)))
% 147.15/22.45
% 147.15/22.45 [9210] ALPHA_NOT_OR : ~(left_apart_point(A39_581_9, L40_581_9) | left_apart_point(A39_581_9, reverse_line(L40_581_9)))
% 147.15/22.45 -> [9215] ~left_apart_point(A39_581_9, L40_581_9), ~left_apart_point(A39_581_9, reverse_line(L40_581_9))
% 147.15/22.45
% 147.15/22.45 [9215] CLOSURE : ~left_apart_point(A39_581_9, L40_581_9)
% 147.15/22.45
% 147.15/22.45 [8832] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_281_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_281_8)))
% 147.15/22.45 -> [8850] ~unequally_directed_lines(skolem_N7979, M38_281_8)
% 147.15/22.45 -> [8851] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_281_8))
% 147.15/22.45
% 147.15/22.45 [8851] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_281_8))
% 147.15/22.45
% 147.15/22.45 [8850] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_281_8)
% 147.15/22.45
% 147.15/22.45 [8798] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [9715] ((unequally_directed_lines(skolem_N7979, M38_341_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_341_8))) => (left_convergent_lines(skolem_N7979, M38_341_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_341_8))))
% 147.15/22.45
% 147.15/22.45 [9715] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_341_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_341_8))) => (left_convergent_lines(skolem_N7979, M38_341_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_341_8))))
% 147.15/22.45 -> [9721] ~(unequally_directed_lines(skolem_N7979, M38_341_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_341_8)))
% 147.15/22.45 -> [9722] (left_convergent_lines(skolem_N7979, M38_341_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_341_8)))
% 147.15/22.45
% 147.15/22.45 [9722] BETA_OR : (left_convergent_lines(skolem_N7979, M38_341_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_341_8)))
% 147.15/22.45 -> [9729] left_convergent_lines(skolem_N7979, M38_341_8)
% 147.15/22.45 -> [9730] left_convergent_lines(skolem_N7979, reverse_line(M38_341_8))
% 147.15/22.45
% 147.15/22.45 [9730] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [9796] ~(left_apart_point(A39_662_9, L40_662_9) | left_apart_point(A39_662_9, reverse_line(L40_662_9)))
% 147.15/22.45
% 147.15/22.45 [9796] ALPHA_NOT_OR : ~(left_apart_point(A39_662_9, L40_662_9) | left_apart_point(A39_662_9, reverse_line(L40_662_9)))
% 147.15/22.45 -> [9802] ~left_apart_point(A39_662_9, L40_662_9), ~left_apart_point(A39_662_9, reverse_line(L40_662_9))
% 147.15/22.45
% 147.15/22.45 [9802] CLOSURE : ~left_apart_point(A39_662_9, L40_662_9)
% 147.15/22.45
% 147.15/22.45 [9729] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [9811] ~(left_apart_point(A39_665_9, L40_665_9) | left_apart_point(A39_665_9, reverse_line(L40_665_9)))
% 147.15/22.45
% 147.15/22.45 [9811] ALPHA_NOT_OR : ~(left_apart_point(A39_665_9, L40_665_9) | left_apart_point(A39_665_9, reverse_line(L40_665_9)))
% 147.15/22.45 -> [9812] ~left_apart_point(A39_665_9, L40_665_9), ~left_apart_point(A39_665_9, reverse_line(L40_665_9))
% 147.15/22.45
% 147.15/22.45 [9812] CLOSURE : ~left_apart_point(A39_665_9, L40_665_9)
% 147.15/22.45
% 147.15/22.45 [9721] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_341_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_341_8)))
% 147.15/22.45 -> [9756] ~unequally_directed_lines(skolem_N7979, M38_341_8)
% 147.15/22.45 -> [9757] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_341_8))
% 147.15/22.45
% 147.15/22.45 [9757] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_341_8))
% 147.15/22.45
% 147.15/22.45 [9756] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_341_8)
% 147.15/22.45
% 147.15/22.45 [8789] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [8794] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45 -> [8795] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [8794] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [8795] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [8841] ((unequally_directed_lines(skolem_N7979, M38_283_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_283_8))) => (left_convergent_lines(skolem_N7979, M38_283_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_283_8))))
% 147.15/22.45
% 147.15/22.45 [8841] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_283_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_283_8))) => (left_convergent_lines(skolem_N7979, M38_283_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_283_8))))
% 147.15/22.45 -> [8844] ~(unequally_directed_lines(skolem_N7979, M38_283_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_283_8)))
% 147.15/22.45 -> [8845] (left_convergent_lines(skolem_N7979, M38_283_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_283_8)))
% 147.15/22.45
% 147.15/22.45 [8844] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_283_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_283_8)))
% 147.15/22.45 -> [8862] ~unequally_directed_lines(skolem_N7979, M38_283_8)
% 147.15/22.45 -> [8863] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_283_8))
% 147.15/22.45
% 147.15/22.45 [8862] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_283_8)
% 147.15/22.45
% 147.15/22.45 [8863] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_283_8))
% 147.15/22.45
% 147.15/22.45 [8845] BETA_OR : (left_convergent_lines(skolem_N7979, M38_283_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_283_8)))
% 147.15/22.45 -> [8846] left_convergent_lines(skolem_N7979, M38_283_8)
% 147.15/22.45 -> [8847] left_convergent_lines(skolem_N7979, reverse_line(M38_283_8))
% 147.15/22.45
% 147.15/22.45 [8846] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [9563] ~(left_apart_point(A39_625_9, L40_625_9) | left_apart_point(A39_625_9, reverse_line(L40_625_9)))
% 147.15/22.45
% 147.15/22.45 [9563] ALPHA_NOT_OR : ~(left_apart_point(A39_625_9, L40_625_9) | left_apart_point(A39_625_9, reverse_line(L40_625_9)))
% 147.15/22.45 -> [9565] ~left_apart_point(A39_625_9, L40_625_9), ~left_apart_point(A39_625_9, reverse_line(L40_625_9))
% 147.15/22.45
% 147.15/22.45 [9565] CLOSURE : ~left_apart_point(A39_625_9, L40_625_9)
% 147.15/22.45
% 147.15/22.45 [8847] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [11108] ~(left_apart_point(A39_838_9, L40_838_9) | left_apart_point(A39_838_9, reverse_line(L40_838_9)))
% 147.15/22.45
% 147.15/22.45 [11108] ALPHA_NOT_OR : ~(left_apart_point(A39_838_9, L40_838_9) | left_apart_point(A39_838_9, reverse_line(L40_838_9)))
% 147.15/22.45 -> [11109] ~left_apart_point(A39_838_9, L40_838_9), ~left_apart_point(A39_838_9, reverse_line(L40_838_9))
% 147.15/22.45
% 147.15/22.45 [11109] CLOSURE : ~left_apart_point(A39_838_9, L40_838_9)
% 147.15/22.45
% 147.15/22.45 [199] BETA_NOT_AND : ~(((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))) & ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [253] ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [254] ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [254] ALPHA_NOT_NOT : ~~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [299] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [299] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [712] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.45 -> [713] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [713] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [721] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [721] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [725] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.45 -> [726] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [725] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [726] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [712] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.45 -> [736] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.45 -> [737] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [736] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.45 -> [780] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.45
% 147.15/22.45 [780] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.45 -> [821] (distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) => (distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181)))
% 147.15/22.45
% 147.15/22.45 [821] BETA_IMPLY : (distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) => (distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181)))
% 147.15/22.45 -> [824] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.45 -> [825] (distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [825] BETA_OR : (distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) | distinct_points(skolem_B8181, skolem_B8181))
% 147.15/22.45 -> [831] distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.45 -> [832] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.45
% 147.15/22.45 [831] CLOSURE : distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.45
% 147.15/22.45 [832] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.45
% 147.15/22.45 [824] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.45 -> [1820] ~distinct_lines(N27_27_3, N27_27_3)
% 147.15/22.45
% 147.15/22.45 [1820] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.45 -> [1901] (distinct_lines(N27_27_3, N27_27_3) => (distinct_lines(N27_27_3, N27_27_3) | distinct_lines(N27_27_3, N27_27_3)))
% 147.15/22.45
% 147.15/22.45 [1901] BETA_IMPLY : (distinct_lines(N27_27_3, N27_27_3) => (distinct_lines(N27_27_3, N27_27_3) | distinct_lines(N27_27_3, N27_27_3)))
% 147.15/22.45 -> [1902] ~distinct_lines(N27_27_3, N27_27_3)
% 147.15/22.45 -> [1903] (distinct_lines(N27_27_3, N27_27_3) | distinct_lines(N27_27_3, N27_27_3))
% 147.15/22.45
% 147.15/22.45 [1903] BETA_OR : (distinct_lines(N27_27_3, N27_27_3) | distinct_lines(N27_27_3, N27_27_3))
% 147.15/22.45 -> [1904] distinct_lines(N27_27_3, N27_27_3)
% 147.15/22.45 -> [1905] distinct_lines(N27_27_3, N27_27_3)
% 147.15/22.45
% 147.15/22.45 [1905] CLOSURE : distinct_lines(N27_27_3, N27_27_3)
% 147.15/22.45
% 147.15/22.45 [1904] CLOSURE : distinct_lines(N27_27_3, N27_27_3)
% 147.15/22.45
% 147.15/22.45 [1902] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.45 -> [2066] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [2066] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.45 -> [2299] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45
% 147.15/22.45 [2299] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45 -> [2306] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [2307] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45
% 147.15/22.45 [2306] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [2307] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [3946] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [3947] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [3947] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [3946] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.45 -> [4203] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_38_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_38_6))) | (unequally_directed_lines(skolem_N7979, N34_38_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_38_6)))))
% 147.15/22.45
% 147.15/22.45 [4203] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_38_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_38_6))) | (unequally_directed_lines(skolem_N7979, N34_38_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_38_6)))))
% 147.15/22.45 -> [4205] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [4206] ((unequally_directed_lines(skolem_M7878, N34_38_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_38_6))) | (unequally_directed_lines(skolem_N7979, N34_38_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_38_6))))
% 147.15/22.45
% 147.15/22.45 [4205] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [4566] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [4567] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [4567] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [4566] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [4206] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_38_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_38_6))) | (unequally_directed_lines(skolem_N7979, N34_38_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_38_6))))
% 147.15/22.45 -> [7955] (unequally_directed_lines(skolem_M7878, N34_38_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_38_6)))
% 147.15/22.45 -> [7956] (unequally_directed_lines(skolem_N7979, N34_38_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_38_6)))
% 147.15/22.45
% 147.15/22.45 [7956] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_38_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_38_6)))
% 147.15/22.45 -> [7958] unequally_directed_lines(skolem_N7979, N34_38_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_38_6))
% 147.15/22.45
% 147.15/22.45 [7958] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [8019] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.15/22.45
% 147.15/22.45 [8019] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.15/22.45 -> [8020] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [8021] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45
% 147.15/22.45 [8021] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45 -> [8023] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [8024] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45
% 147.15/22.45 [8023] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [8024] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [8161] ((unequally_directed_lines(skolem_N7979, M38_251_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_251_8))) => (left_convergent_lines(skolem_N7979, M38_251_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_251_8))))
% 147.15/22.45
% 147.15/22.45 [8161] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_251_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_251_8))) => (left_convergent_lines(skolem_N7979, M38_251_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_251_8))))
% 147.15/22.45 -> [8162] ~(unequally_directed_lines(skolem_N7979, M38_251_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_251_8)))
% 147.15/22.45 -> [8163] (left_convergent_lines(skolem_N7979, M38_251_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_251_8)))
% 147.15/22.45
% 147.15/22.45 [8162] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_251_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_251_8)))
% 147.15/22.45 -> [8170] ~unequally_directed_lines(skolem_N7979, M38_251_8)
% 147.15/22.45 -> [8171] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_251_8))
% 147.15/22.45
% 147.15/22.45 [8171] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_251_8))
% 147.15/22.45
% 147.15/22.45 [8170] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_251_8)
% 147.15/22.45
% 147.15/22.45 [8163] BETA_OR : (left_convergent_lines(skolem_N7979, M38_251_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_251_8)))
% 147.15/22.45 -> [8164] left_convergent_lines(skolem_N7979, M38_251_8)
% 147.15/22.45 -> [8165] left_convergent_lines(skolem_N7979, reverse_line(M38_251_8))
% 147.15/22.45
% 147.15/22.45 [8164] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8254] ~(left_apart_point(A39_470_9, L40_470_9) | left_apart_point(A39_470_9, reverse_line(L40_470_9)))
% 147.15/22.45
% 147.15/22.45 [8254] ALPHA_NOT_OR : ~(left_apart_point(A39_470_9, L40_470_9) | left_apart_point(A39_470_9, reverse_line(L40_470_9)))
% 147.15/22.45 -> [8255] ~left_apart_point(A39_470_9, L40_470_9), ~left_apart_point(A39_470_9, reverse_line(L40_470_9))
% 147.15/22.45
% 147.15/22.45 [8255] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [8451] ~(left_convergent_lines(L41_130_10, M42_130_10) | left_convergent_lines(L41_130_10, reverse_line(M42_130_10)))
% 147.15/22.45
% 147.15/22.45 [8451] ALPHA_NOT_OR : ~(left_convergent_lines(L41_130_10, M42_130_10) | left_convergent_lines(L41_130_10, reverse_line(M42_130_10)))
% 147.15/22.45 -> [8457] ~left_convergent_lines(L41_130_10, M42_130_10), ~left_convergent_lines(L41_130_10, reverse_line(M42_130_10))
% 147.15/22.45
% 147.15/22.45 [8457] CLOSURE : ~left_convergent_lines(L41_130_10, M42_130_10)
% 147.15/22.45
% 147.15/22.45 [8165] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8259] ~(left_apart_point(A39_472_9, L40_472_9) | left_apart_point(A39_472_9, reverse_line(L40_472_9)))
% 147.15/22.45
% 147.15/22.45 [8259] ALPHA_NOT_OR : ~(left_apart_point(A39_472_9, L40_472_9) | left_apart_point(A39_472_9, reverse_line(L40_472_9)))
% 147.15/22.45 -> [8262] ~left_apart_point(A39_472_9, L40_472_9), ~left_apart_point(A39_472_9, reverse_line(L40_472_9))
% 147.15/22.45
% 147.15/22.45 [8262] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [8575] ~(left_convergent_lines(L41_137_10, M42_137_10) | left_convergent_lines(L41_137_10, reverse_line(M42_137_10)))
% 147.15/22.45
% 147.15/22.45 [8575] ALPHA_NOT_OR : ~(left_convergent_lines(L41_137_10, M42_137_10) | left_convergent_lines(L41_137_10, reverse_line(M42_137_10)))
% 147.15/22.45 -> [8576] ~left_convergent_lines(L41_137_10, M42_137_10), ~left_convergent_lines(L41_137_10, reverse_line(M42_137_10))
% 147.15/22.45
% 147.15/22.45 [8576] CLOSURE : ~left_convergent_lines(L41_137_10, M42_137_10)
% 147.15/22.45
% 147.15/22.45 [8020] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [8039] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [8040] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [8040] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [8100] ((unequally_directed_lines(skolem_N7979, M38_247_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_247_8))) => (left_convergent_lines(skolem_N7979, M38_247_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_247_8))))
% 147.15/22.45
% 147.15/22.45 [8100] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_247_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_247_8))) => (left_convergent_lines(skolem_N7979, M38_247_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_247_8))))
% 147.15/22.45 -> [8102] ~(unequally_directed_lines(skolem_N7979, M38_247_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_247_8)))
% 147.15/22.45 -> [8103] (left_convergent_lines(skolem_N7979, M38_247_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_247_8)))
% 147.15/22.45
% 147.15/22.45 [8102] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_247_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_247_8)))
% 147.15/22.45 -> [8147] ~unequally_directed_lines(skolem_N7979, M38_247_8)
% 147.15/22.45 -> [8148] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_247_8))
% 147.15/22.45
% 147.15/22.45 [8147] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_247_8)
% 147.15/22.45
% 147.15/22.45 [8148] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_247_8))
% 147.15/22.45
% 147.15/22.45 [8103] BETA_OR : (left_convergent_lines(skolem_N7979, M38_247_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_247_8)))
% 147.15/22.45 -> [8105] left_convergent_lines(skolem_N7979, M38_247_8)
% 147.15/22.45 -> [8106] left_convergent_lines(skolem_N7979, reverse_line(M38_247_8))
% 147.15/22.45
% 147.15/22.45 [8106] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8196] ~(left_apart_point(A39_456_9, L40_456_9) | left_apart_point(A39_456_9, reverse_line(L40_456_9)))
% 147.15/22.45
% 147.15/22.45 [8196] ALPHA_NOT_OR : ~(left_apart_point(A39_456_9, L40_456_9) | left_apart_point(A39_456_9, reverse_line(L40_456_9)))
% 147.15/22.45 -> [8200] ~left_apart_point(A39_456_9, L40_456_9), ~left_apart_point(A39_456_9, reverse_line(L40_456_9))
% 147.15/22.45
% 147.15/22.45 [8200] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [8305] ~(left_convergent_lines(L41_113_10, M42_113_10) | left_convergent_lines(L41_113_10, reverse_line(M42_113_10)))
% 147.15/22.45
% 147.15/22.45 [8305] ALPHA_NOT_OR : ~(left_convergent_lines(L41_113_10, M42_113_10) | left_convergent_lines(L41_113_10, reverse_line(M42_113_10)))
% 147.15/22.45 -> [8306] ~left_convergent_lines(L41_113_10, M42_113_10), ~left_convergent_lines(L41_113_10, reverse_line(M42_113_10))
% 147.15/22.45
% 147.15/22.45 [8306] CLOSURE : ~left_convergent_lines(L41_113_10, M42_113_10)
% 147.15/22.45
% 147.15/22.45 [8105] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8215] ~(left_apart_point(A39_461_9, L40_461_9) | left_apart_point(A39_461_9, reverse_line(L40_461_9)))
% 147.15/22.45
% 147.15/22.45 [8215] ALPHA_NOT_OR : ~(left_apart_point(A39_461_9, L40_461_9) | left_apart_point(A39_461_9, reverse_line(L40_461_9)))
% 147.15/22.45 -> [8216] ~left_apart_point(A39_461_9, L40_461_9), ~left_apart_point(A39_461_9, reverse_line(L40_461_9))
% 147.15/22.45
% 147.15/22.45 [8216] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [8314] ~(left_convergent_lines(L41_116_10, M42_116_10) | left_convergent_lines(L41_116_10, reverse_line(M42_116_10)))
% 147.15/22.45
% 147.15/22.45 [8314] ALPHA_NOT_OR : ~(left_convergent_lines(L41_116_10, M42_116_10) | left_convergent_lines(L41_116_10, reverse_line(M42_116_10)))
% 147.15/22.45 -> [8315] ~left_convergent_lines(L41_116_10, M42_116_10), ~left_convergent_lines(L41_116_10, reverse_line(M42_116_10))
% 147.15/22.45
% 147.15/22.45 [8315] CLOSURE : ~left_convergent_lines(L41_116_10, M42_116_10)
% 147.15/22.45
% 147.15/22.45 [8039] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [8173] ((unequally_directed_lines(skolem_N7979, M38_253_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_253_8))) => (left_convergent_lines(skolem_N7979, M38_253_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_253_8))))
% 147.15/22.45
% 147.15/22.45 [8173] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_253_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_253_8))) => (left_convergent_lines(skolem_N7979, M38_253_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_253_8))))
% 147.15/22.45 -> [8178] ~(unequally_directed_lines(skolem_N7979, M38_253_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_253_8)))
% 147.15/22.45 -> [8179] (left_convergent_lines(skolem_N7979, M38_253_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_253_8)))
% 147.15/22.45
% 147.15/22.45 [8178] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_253_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_253_8)))
% 147.15/22.45 -> [8198] ~unequally_directed_lines(skolem_N7979, M38_253_8)
% 147.15/22.45 -> [8199] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_253_8))
% 147.15/22.45
% 147.15/22.45 [8199] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_253_8))
% 147.15/22.45
% 147.15/22.45 [8198] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_253_8)
% 147.15/22.45
% 147.15/22.45 [8179] BETA_OR : (left_convergent_lines(skolem_N7979, M38_253_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_253_8)))
% 147.15/22.45 -> [8183] left_convergent_lines(skolem_N7979, M38_253_8)
% 147.15/22.45 -> [8184] left_convergent_lines(skolem_N7979, reverse_line(M38_253_8))
% 147.15/22.45
% 147.15/22.45 [8183] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8283] ~(left_apart_point(A39_475_9, L40_475_9) | left_apart_point(A39_475_9, reverse_line(L40_475_9)))
% 147.15/22.45
% 147.15/22.45 [8283] ALPHA_NOT_OR : ~(left_apart_point(A39_475_9, L40_475_9) | left_apart_point(A39_475_9, reverse_line(L40_475_9)))
% 147.15/22.45 -> [8284] ~left_apart_point(A39_475_9, L40_475_9), ~left_apart_point(A39_475_9, reverse_line(L40_475_9))
% 147.15/22.45
% 147.15/22.45 [8284] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [8343] ~(left_convergent_lines(L41_124_10, M42_124_10) | left_convergent_lines(L41_124_10, reverse_line(M42_124_10)))
% 147.15/22.45
% 147.15/22.45 [8343] ALPHA_NOT_OR : ~(left_convergent_lines(L41_124_10, M42_124_10) | left_convergent_lines(L41_124_10, reverse_line(M42_124_10)))
% 147.15/22.45 -> [8349] ~left_convergent_lines(L41_124_10, M42_124_10), ~left_convergent_lines(L41_124_10, reverse_line(M42_124_10))
% 147.15/22.45
% 147.15/22.45 [8349] CLOSURE : ~left_convergent_lines(L41_124_10, M42_124_10)
% 147.15/22.45
% 147.15/22.45 [8184] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8271] ~(left_apart_point(A39_474_9, L40_474_9) | left_apart_point(A39_474_9, reverse_line(L40_474_9)))
% 147.15/22.45
% 147.15/22.45 [8271] ALPHA_NOT_OR : ~(left_apart_point(A39_474_9, L40_474_9) | left_apart_point(A39_474_9, reverse_line(L40_474_9)))
% 147.15/22.45 -> [8275] ~left_apart_point(A39_474_9, L40_474_9), ~left_apart_point(A39_474_9, reverse_line(L40_474_9))
% 147.15/22.45
% 147.15/22.45 [8275] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [8605] ~(left_convergent_lines(L41_140_10, M42_140_10) | left_convergent_lines(L41_140_10, reverse_line(M42_140_10)))
% 147.15/22.45
% 147.15/22.45 [8605] ALPHA_NOT_OR : ~(left_convergent_lines(L41_140_10, M42_140_10) | left_convergent_lines(L41_140_10, reverse_line(M42_140_10)))
% 147.15/22.45 -> [8606] ~left_convergent_lines(L41_140_10, M42_140_10), ~left_convergent_lines(L41_140_10, reverse_line(M42_140_10))
% 147.15/22.45
% 147.15/22.45 [8606] CLOSURE : ~left_convergent_lines(L41_140_10, M42_140_10)
% 147.15/22.45
% 147.15/22.45 [7955] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_38_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_38_6)))
% 147.15/22.45 -> [7968] unequally_directed_lines(skolem_M7878, N34_38_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_38_6))
% 147.15/22.45
% 147.15/22.45 [7968] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [8006] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.15/22.45
% 147.15/22.45 [8006] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.15/22.45 -> [8009] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [8010] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45
% 147.15/22.45 [8010] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45 -> [8017] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [8018] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45
% 147.15/22.45 [8017] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [8018] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [8089] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [8089] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [8092] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [8093] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [8093] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [8094] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [8095] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [8094] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8241] ~(left_apart_point(A39_465_9, L40_465_9) | left_apart_point(A39_465_9, reverse_line(L40_465_9)))
% 147.15/22.45
% 147.15/22.45 [8241] ALPHA_NOT_OR : ~(left_apart_point(A39_465_9, L40_465_9) | left_apart_point(A39_465_9, reverse_line(L40_465_9)))
% 147.15/22.45 -> [8243] ~left_apart_point(A39_465_9, L40_465_9), ~left_apart_point(A39_465_9, reverse_line(L40_465_9))
% 147.15/22.45
% 147.15/22.45 [8243] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [8318] ~(left_convergent_lines(L41_118_10, M42_118_10) | left_convergent_lines(L41_118_10, reverse_line(M42_118_10)))
% 147.15/22.45
% 147.15/22.45 [8318] ALPHA_NOT_OR : ~(left_convergent_lines(L41_118_10, M42_118_10) | left_convergent_lines(L41_118_10, reverse_line(M42_118_10)))
% 147.15/22.45 -> [8320] ~left_convergent_lines(L41_118_10, M42_118_10), ~left_convergent_lines(L41_118_10, reverse_line(M42_118_10))
% 147.15/22.45
% 147.15/22.45 [8320] CLOSURE : ~left_convergent_lines(L41_118_10, M42_118_10)
% 147.15/22.45
% 147.15/22.45 [8095] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8248] ~(left_apart_point(A39_467_9, L40_467_9) | left_apart_point(A39_467_9, reverse_line(L40_467_9)))
% 147.15/22.45
% 147.15/22.45 [8248] ALPHA_NOT_OR : ~(left_apart_point(A39_467_9, L40_467_9) | left_apart_point(A39_467_9, reverse_line(L40_467_9)))
% 147.15/22.45 -> [8251] ~left_apart_point(A39_467_9, L40_467_9), ~left_apart_point(A39_467_9, reverse_line(L40_467_9))
% 147.15/22.45
% 147.15/22.45 [8251] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [8322] ~(left_convergent_lines(L41_119_10, M42_119_10) | left_convergent_lines(L41_119_10, reverse_line(M42_119_10)))
% 147.15/22.45
% 147.15/22.45 [8322] ALPHA_NOT_OR : ~(left_convergent_lines(L41_119_10, M42_119_10) | left_convergent_lines(L41_119_10, reverse_line(M42_119_10)))
% 147.15/22.45 -> [8324] ~left_convergent_lines(L41_119_10, M42_119_10), ~left_convergent_lines(L41_119_10, reverse_line(M42_119_10))
% 147.15/22.45
% 147.15/22.45 [8324] CLOSURE : ~left_convergent_lines(L41_119_10, M42_119_10)
% 147.15/22.45
% 147.15/22.45 [8092] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [8130] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [8131] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [8131] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [8130] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [8009] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [8035] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [8036] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [8035] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [8116] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [8116] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [8119] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [8120] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [8119] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [8166] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [8167] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [8167] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [8166] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [8120] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [8121] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [8122] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [8121] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8244] ~(left_apart_point(A39_466_9, L40_466_9) | left_apart_point(A39_466_9, reverse_line(L40_466_9)))
% 147.15/22.45
% 147.15/22.45 [8244] ALPHA_NOT_OR : ~(left_apart_point(A39_466_9, L40_466_9) | left_apart_point(A39_466_9, reverse_line(L40_466_9)))
% 147.15/22.45 -> [8247] ~left_apart_point(A39_466_9, L40_466_9), ~left_apart_point(A39_466_9, reverse_line(L40_466_9))
% 147.15/22.45
% 147.15/22.45 [8247] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [8323] ~(left_convergent_lines(L41_120_10, M42_120_10) | left_convergent_lines(L41_120_10, reverse_line(M42_120_10)))
% 147.15/22.45
% 147.15/22.45 [8323] ALPHA_NOT_OR : ~(left_convergent_lines(L41_120_10, M42_120_10) | left_convergent_lines(L41_120_10, reverse_line(M42_120_10)))
% 147.15/22.45 -> [8325] ~left_convergent_lines(L41_120_10, M42_120_10), ~left_convergent_lines(L41_120_10, reverse_line(M42_120_10))
% 147.15/22.45
% 147.15/22.45 [8325] CLOSURE : ~left_convergent_lines(L41_120_10, M42_120_10)
% 147.15/22.45
% 147.15/22.45 [8122] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8746] ~(left_apart_point(A39_535_9, L40_535_9) | left_apart_point(A39_535_9, reverse_line(L40_535_9)))
% 147.15/22.45
% 147.15/22.45 [8746] ALPHA_NOT_OR : ~(left_apart_point(A39_535_9, L40_535_9) | left_apart_point(A39_535_9, reverse_line(L40_535_9)))
% 147.15/22.45 -> [8751] ~left_apart_point(A39_535_9, L40_535_9), ~left_apart_point(A39_535_9, reverse_line(L40_535_9))
% 147.15/22.45
% 147.15/22.45 [8751] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [8934] ~(left_convergent_lines(L41_169_10, M42_169_10) | left_convergent_lines(L41_169_10, reverse_line(M42_169_10)))
% 147.15/22.45
% 147.15/22.45 [8934] ALPHA_NOT_OR : ~(left_convergent_lines(L41_169_10, M42_169_10) | left_convergent_lines(L41_169_10, reverse_line(M42_169_10)))
% 147.15/22.45 -> [8937] ~left_convergent_lines(L41_169_10, M42_169_10), ~left_convergent_lines(L41_169_10, reverse_line(M42_169_10))
% 147.15/22.45
% 147.15/22.45 [8937] CLOSURE : ~left_convergent_lines(L41_169_10, M42_169_10)
% 147.15/22.45
% 147.15/22.45 [8036] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [8082] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [8082] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [8083] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [8084] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [8084] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [8085] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [8086] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [8086] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8213] ~(left_apart_point(A39_460_9, L40_460_9) | left_apart_point(A39_460_9, reverse_line(L40_460_9)))
% 147.15/22.45
% 147.15/22.45 [8213] ALPHA_NOT_OR : ~(left_apart_point(A39_460_9, L40_460_9) | left_apart_point(A39_460_9, reverse_line(L40_460_9)))
% 147.15/22.45 -> [8214] ~left_apart_point(A39_460_9, L40_460_9), ~left_apart_point(A39_460_9, reverse_line(L40_460_9))
% 147.15/22.45
% 147.15/22.45 [8214] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [8560] ~(left_convergent_lines(L41_136_10, M42_136_10) | left_convergent_lines(L41_136_10, reverse_line(M42_136_10)))
% 147.15/22.45
% 147.15/22.45 [8560] ALPHA_NOT_OR : ~(left_convergent_lines(L41_136_10, M42_136_10) | left_convergent_lines(L41_136_10, reverse_line(M42_136_10)))
% 147.15/22.45 -> [8561] ~left_convergent_lines(L41_136_10, M42_136_10), ~left_convergent_lines(L41_136_10, reverse_line(M42_136_10))
% 147.15/22.45
% 147.15/22.45 [8561] CLOSURE : ~left_convergent_lines(L41_136_10, M42_136_10)
% 147.15/22.45
% 147.15/22.45 [8085] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8232] ~(left_apart_point(A39_464_9, L40_464_9) | left_apart_point(A39_464_9, reverse_line(L40_464_9)))
% 147.15/22.45
% 147.15/22.45 [8232] ALPHA_NOT_OR : ~(left_apart_point(A39_464_9, L40_464_9) | left_apart_point(A39_464_9, reverse_line(L40_464_9)))
% 147.15/22.45 -> [8234] ~left_apart_point(A39_464_9, L40_464_9), ~left_apart_point(A39_464_9, reverse_line(L40_464_9))
% 147.15/22.45
% 147.15/22.45 [8234] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [8588] ~(left_convergent_lines(L41_139_10, M42_139_10) | left_convergent_lines(L41_139_10, reverse_line(M42_139_10)))
% 147.15/22.45
% 147.15/22.45 [8588] ALPHA_NOT_OR : ~(left_convergent_lines(L41_139_10, M42_139_10) | left_convergent_lines(L41_139_10, reverse_line(M42_139_10)))
% 147.15/22.45 -> [8590] ~left_convergent_lines(L41_139_10, M42_139_10), ~left_convergent_lines(L41_139_10, reverse_line(M42_139_10))
% 147.15/22.45
% 147.15/22.45 [8590] CLOSURE : ~left_convergent_lines(L41_139_10, M42_139_10)
% 147.15/22.45
% 147.15/22.45 [8083] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [8123] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [8124] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [8124] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [8123] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [737] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.45 -> [740] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [740] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.45 -> [741] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.45 -> [742] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [741] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.45 -> [789] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [789] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.45 -> [839] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45
% 147.15/22.45 [839] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45 -> [842] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [843] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45
% 147.15/22.45 [842] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [843] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45 -> [2011] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [2012] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [2012] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [2011] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.45 -> [2822] ~distinct_lines(N27_81_3, N27_81_3)
% 147.15/22.45
% 147.15/22.45 [2822] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.45 -> [2866] (distinct_lines(N27_81_3, N27_81_3) => (distinct_lines(N27_81_3, N27_81_3) | distinct_lines(N27_81_3, N27_81_3)))
% 147.15/22.45
% 147.15/22.45 [2866] BETA_IMPLY : (distinct_lines(N27_81_3, N27_81_3) => (distinct_lines(N27_81_3, N27_81_3) | distinct_lines(N27_81_3, N27_81_3)))
% 147.15/22.45 -> [2868] ~distinct_lines(N27_81_3, N27_81_3)
% 147.15/22.45 -> [2869] (distinct_lines(N27_81_3, N27_81_3) | distinct_lines(N27_81_3, N27_81_3))
% 147.15/22.45
% 147.15/22.45 [2869] BETA_OR : (distinct_lines(N27_81_3, N27_81_3) | distinct_lines(N27_81_3, N27_81_3))
% 147.15/22.45 -> [2875] distinct_lines(N27_81_3, N27_81_3)
% 147.15/22.45 -> [2876] distinct_lines(N27_81_3, N27_81_3)
% 147.15/22.45
% 147.15/22.45 [2875] CLOSURE : distinct_lines(N27_81_3, N27_81_3)
% 147.15/22.45
% 147.15/22.45 [2876] CLOSURE : distinct_lines(N27_81_3, N27_81_3)
% 147.15/22.45
% 147.15/22.45 [2868] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.45 -> [2938] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [2938] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.45 -> [3126] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45
% 147.15/22.45 [3126] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45 -> [3127] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [3128] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45
% 147.15/22.45 [3127] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [3128] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [4644] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [4645] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [4645] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [4644] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.45 -> [6089] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_83_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_83_6))) | (unequally_directed_lines(skolem_N7979, N34_83_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_83_6)))))
% 147.15/22.45
% 147.15/22.45 [6089] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_83_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_83_6))) | (unequally_directed_lines(skolem_N7979, N34_83_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_83_6)))))
% 147.15/22.45 -> [6090] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [6091] ((unequally_directed_lines(skolem_M7878, N34_83_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_83_6))) | (unequally_directed_lines(skolem_N7979, N34_83_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_83_6))))
% 147.15/22.45
% 147.15/22.45 [6090] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [6097] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [6098] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [6098] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [6097] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [6091] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_83_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_83_6))) | (unequally_directed_lines(skolem_N7979, N34_83_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_83_6))))
% 147.15/22.45 -> [6838] (unequally_directed_lines(skolem_M7878, N34_83_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_83_6)))
% 147.15/22.45 -> [6839] (unequally_directed_lines(skolem_N7979, N34_83_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_83_6)))
% 147.15/22.45
% 147.15/22.45 [6838] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_83_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_83_6)))
% 147.15/22.45 -> [6846] unequally_directed_lines(skolem_M7878, N34_83_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_83_6))
% 147.15/22.45
% 147.15/22.45 [6846] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [6873] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.15/22.45
% 147.15/22.45 [6873] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.15/22.45 -> [6874] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [6875] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45
% 147.15/22.45 [6875] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45 -> [6877] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [6878] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45
% 147.15/22.45 [6877] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [6878] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [7288] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [7288] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [7293] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7294] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [7294] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7299] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [7300] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7300] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [7427] ~(left_apart_point(A39_352_9, L40_352_9) | left_apart_point(A39_352_9, reverse_line(L40_352_9)))
% 147.15/22.45
% 147.15/22.45 [7427] ALPHA_NOT_OR : ~(left_apart_point(A39_352_9, L40_352_9) | left_apart_point(A39_352_9, reverse_line(L40_352_9)))
% 147.15/22.45 -> [7428] ~left_apart_point(A39_352_9, L40_352_9), ~left_apart_point(A39_352_9, reverse_line(L40_352_9))
% 147.15/22.45
% 147.15/22.45 [7428] CLOSURE : ~left_apart_point(A39_352_9, L40_352_9)
% 147.15/22.45
% 147.15/22.45 [7299] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [7456] ~(left_apart_point(A39_355_9, L40_355_9) | left_apart_point(A39_355_9, reverse_line(L40_355_9)))
% 147.15/22.45
% 147.15/22.45 [7456] ALPHA_NOT_OR : ~(left_apart_point(A39_355_9, L40_355_9) | left_apart_point(A39_355_9, reverse_line(L40_355_9)))
% 147.15/22.45 -> [7457] ~left_apart_point(A39_355_9, L40_355_9), ~left_apart_point(A39_355_9, reverse_line(L40_355_9))
% 147.15/22.45
% 147.15/22.45 [7457] CLOSURE : ~left_apart_point(A39_355_9, L40_355_9)
% 147.15/22.45
% 147.15/22.45 [7293] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7341] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [7342] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7342] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7341] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [6874] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [6896] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [6897] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [6896] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [7105] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [7105] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [7106] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7107] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [7107] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7113] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [7114] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7114] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [7268] ~(left_apart_point(A39_337_9, L40_337_9) | left_apart_point(A39_337_9, reverse_line(L40_337_9)))
% 147.15/22.45
% 147.15/22.45 [7268] ALPHA_NOT_OR : ~(left_apart_point(A39_337_9, L40_337_9) | left_apart_point(A39_337_9, reverse_line(L40_337_9)))
% 147.15/22.45 -> [7269] ~left_apart_point(A39_337_9, L40_337_9), ~left_apart_point(A39_337_9, reverse_line(L40_337_9))
% 147.15/22.45
% 147.15/22.45 [7269] CLOSURE : ~left_apart_point(A39_337_9, L40_337_9)
% 147.15/22.45
% 147.15/22.45 [7113] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [7325] ~(left_apart_point(A39_339_9, L40_339_9) | left_apart_point(A39_339_9, reverse_line(L40_339_9)))
% 147.15/22.45
% 147.15/22.45 [7325] ALPHA_NOT_OR : ~(left_apart_point(A39_339_9, L40_339_9) | left_apart_point(A39_339_9, reverse_line(L40_339_9)))
% 147.15/22.45 -> [7326] ~left_apart_point(A39_339_9, L40_339_9), ~left_apart_point(A39_339_9, reverse_line(L40_339_9))
% 147.15/22.45
% 147.15/22.45 [7326] CLOSURE : ~left_apart_point(A39_339_9, L40_339_9)
% 147.15/22.45
% 147.15/22.45 [7106] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7139] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [7140] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7140] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7139] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [6897] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [7175] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [7175] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [7177] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7178] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [7177] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7224] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [7225] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7225] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7224] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [7178] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7184] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [7185] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7184] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [7378] ~(left_apart_point(A39_346_9, L40_346_9) | left_apart_point(A39_346_9, reverse_line(L40_346_9)))
% 147.15/22.45
% 147.15/22.45 [7378] ALPHA_NOT_OR : ~(left_apart_point(A39_346_9, L40_346_9) | left_apart_point(A39_346_9, reverse_line(L40_346_9)))
% 147.15/22.45 -> [7382] ~left_apart_point(A39_346_9, L40_346_9), ~left_apart_point(A39_346_9, reverse_line(L40_346_9))
% 147.15/22.45
% 147.15/22.45 [7382] CLOSURE : ~left_apart_point(A39_346_9, L40_346_9)
% 147.15/22.45
% 147.15/22.45 [7185] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [7827] ~(left_apart_point(A39_398_9, L40_398_9) | left_apart_point(A39_398_9, reverse_line(L40_398_9)))
% 147.15/22.45
% 147.15/22.45 [7827] ALPHA_NOT_OR : ~(left_apart_point(A39_398_9, L40_398_9) | left_apart_point(A39_398_9, reverse_line(L40_398_9)))
% 147.15/22.45 -> [7829] ~left_apart_point(A39_398_9, L40_398_9), ~left_apart_point(A39_398_9, reverse_line(L40_398_9))
% 147.15/22.45
% 147.15/22.45 [7829] CLOSURE : ~left_apart_point(A39_398_9, L40_398_9)
% 147.15/22.45
% 147.15/22.45 [6839] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_83_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_83_6)))
% 147.15/22.45 -> [6843] unequally_directed_lines(skolem_N7979, N34_83_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_83_6))
% 147.15/22.45
% 147.15/22.45 [6843] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [6863] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.15/22.45
% 147.15/22.45 [6863] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.15/22.45 -> [6865] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [6866] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45
% 147.15/22.45 [6866] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45 -> [6867] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [6868] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45
% 147.15/22.45 [6868] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [6917] ((unequally_directed_lines(skolem_N7979, M38_175_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_175_8))) => (left_convergent_lines(skolem_N7979, M38_175_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_175_8))))
% 147.15/22.45
% 147.15/22.45 [6917] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_175_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_175_8))) => (left_convergent_lines(skolem_N7979, M38_175_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_175_8))))
% 147.15/22.45 -> [6921] ~(unequally_directed_lines(skolem_N7979, M38_175_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_175_8)))
% 147.15/22.45 -> [6922] (left_convergent_lines(skolem_N7979, M38_175_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_175_8)))
% 147.15/22.45
% 147.15/22.45 [6922] BETA_OR : (left_convergent_lines(skolem_N7979, M38_175_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_175_8)))
% 147.15/22.45 -> [6923] left_convergent_lines(skolem_N7979, M38_175_8)
% 147.15/22.45 -> [6924] left_convergent_lines(skolem_N7979, reverse_line(M38_175_8))
% 147.15/22.45
% 147.15/22.45 [6924] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [6967] ~(left_apart_point(A39_305_9, L40_305_9) | left_apart_point(A39_305_9, reverse_line(L40_305_9)))
% 147.15/22.45
% 147.15/22.45 [6967] ALPHA_NOT_OR : ~(left_apart_point(A39_305_9, L40_305_9) | left_apart_point(A39_305_9, reverse_line(L40_305_9)))
% 147.15/22.45 -> [6971] ~left_apart_point(A39_305_9, L40_305_9), ~left_apart_point(A39_305_9, reverse_line(L40_305_9))
% 147.15/22.45
% 147.15/22.45 [6971] CLOSURE : ~left_apart_point(A39_305_9, L40_305_9)
% 147.15/22.45
% 147.15/22.45 [6923] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [6978] ~(left_apart_point(A39_307_9, L40_307_9) | left_apart_point(A39_307_9, reverse_line(L40_307_9)))
% 147.15/22.45
% 147.15/22.45 [6978] ALPHA_NOT_OR : ~(left_apart_point(A39_307_9, L40_307_9) | left_apart_point(A39_307_9, reverse_line(L40_307_9)))
% 147.15/22.45 -> [6979] ~left_apart_point(A39_307_9, L40_307_9), ~left_apart_point(A39_307_9, reverse_line(L40_307_9))
% 147.15/22.45
% 147.15/22.45 [6979] CLOSURE : ~left_apart_point(A39_307_9, L40_307_9)
% 147.15/22.45
% 147.15/22.45 [6921] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_175_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_175_8)))
% 147.15/22.45 -> [6930] ~unequally_directed_lines(skolem_N7979, M38_175_8)
% 147.15/22.45 -> [6931] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_175_8))
% 147.15/22.45
% 147.15/22.45 [6931] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_175_8))
% 147.15/22.45
% 147.15/22.45 [6930] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_175_8)
% 147.15/22.45
% 147.15/22.45 [6867] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [6865] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [6884] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [6885] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [6884] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [7295] ((unequally_directed_lines(skolem_N7979, M38_197_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_197_8))) => (left_convergent_lines(skolem_N7979, M38_197_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_197_8))))
% 147.15/22.45
% 147.15/22.45 [7295] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_197_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_197_8))) => (left_convergent_lines(skolem_N7979, M38_197_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_197_8))))
% 147.15/22.45 -> [7297] ~(unequally_directed_lines(skolem_N7979, M38_197_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_197_8)))
% 147.15/22.45 -> [7298] (left_convergent_lines(skolem_N7979, M38_197_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_197_8)))
% 147.15/22.45
% 147.15/22.45 [7298] BETA_OR : (left_convergent_lines(skolem_N7979, M38_197_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_197_8)))
% 147.15/22.45 -> [7304] left_convergent_lines(skolem_N7979, M38_197_8)
% 147.15/22.45 -> [7305] left_convergent_lines(skolem_N7979, reverse_line(M38_197_8))
% 147.15/22.45
% 147.15/22.45 [7304] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [7743] ~(left_apart_point(A39_387_9, L40_387_9) | left_apart_point(A39_387_9, reverse_line(L40_387_9)))
% 147.15/22.45
% 147.15/22.45 [7743] ALPHA_NOT_OR : ~(left_apart_point(A39_387_9, L40_387_9) | left_apart_point(A39_387_9, reverse_line(L40_387_9)))
% 147.15/22.45 -> [7747] ~left_apart_point(A39_387_9, L40_387_9), ~left_apart_point(A39_387_9, reverse_line(L40_387_9))
% 147.15/22.45
% 147.15/22.45 [7747] CLOSURE : ~left_apart_point(A39_387_9, L40_387_9)
% 147.15/22.45
% 147.15/22.45 [7305] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [7901] ~(left_apart_point(A39_415_9, L40_415_9) | left_apart_point(A39_415_9, reverse_line(L40_415_9)))
% 147.15/22.45
% 147.15/22.45 [7901] ALPHA_NOT_OR : ~(left_apart_point(A39_415_9, L40_415_9) | left_apart_point(A39_415_9, reverse_line(L40_415_9)))
% 147.15/22.45 -> [7905] ~left_apart_point(A39_415_9, L40_415_9), ~left_apart_point(A39_415_9, reverse_line(L40_415_9))
% 147.15/22.45
% 147.15/22.45 [7905] CLOSURE : ~left_apart_point(A39_415_9, L40_415_9)
% 147.15/22.45
% 147.15/22.45 [7297] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_197_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_197_8)))
% 147.15/22.45 -> [7335] ~unequally_directed_lines(skolem_N7979, M38_197_8)
% 147.15/22.45 -> [7336] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_197_8))
% 147.15/22.45
% 147.15/22.45 [7335] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_197_8)
% 147.15/22.45
% 147.15/22.45 [7336] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_197_8))
% 147.15/22.45
% 147.15/22.45 [6885] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [6915] ((unequally_directed_lines(skolem_N7979, M38_174_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_174_8))) => (left_convergent_lines(skolem_N7979, M38_174_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_174_8))))
% 147.15/22.45
% 147.15/22.45 [6915] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_174_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_174_8))) => (left_convergent_lines(skolem_N7979, M38_174_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_174_8))))
% 147.15/22.45 -> [7312] ~(unequally_directed_lines(skolem_N7979, M38_174_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_174_8)))
% 147.15/22.45 -> [7313] (left_convergent_lines(skolem_N7979, M38_174_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_174_8)))
% 147.15/22.45
% 147.15/22.45 [7312] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_174_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_174_8)))
% 147.15/22.45 -> [7347] ~unequally_directed_lines(skolem_N7979, M38_174_8)
% 147.15/22.45 -> [7348] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_174_8))
% 147.15/22.45
% 147.15/22.45 [7348] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_174_8))
% 147.15/22.45
% 147.15/22.45 [7347] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_174_8)
% 147.15/22.45
% 147.15/22.45 [7313] BETA_OR : (left_convergent_lines(skolem_N7979, M38_174_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_174_8)))
% 147.15/22.45 -> [7319] left_convergent_lines(skolem_N7979, M38_174_8)
% 147.15/22.45 -> [7320] left_convergent_lines(skolem_N7979, reverse_line(M38_174_8))
% 147.15/22.45
% 147.15/22.45 [7319] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [7810] ~(left_apart_point(A39_395_9, L40_395_9) | left_apart_point(A39_395_9, reverse_line(L40_395_9)))
% 147.15/22.45
% 147.15/22.45 [7810] ALPHA_NOT_OR : ~(left_apart_point(A39_395_9, L40_395_9) | left_apart_point(A39_395_9, reverse_line(L40_395_9)))
% 147.15/22.45 -> [7813] ~left_apart_point(A39_395_9, L40_395_9), ~left_apart_point(A39_395_9, reverse_line(L40_395_9))
% 147.15/22.45
% 147.15/22.45 [7813] CLOSURE : ~left_apart_point(A39_395_9, L40_395_9)
% 147.15/22.45
% 147.15/22.45 [7320] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8393] ~(left_apart_point(A39_487_9, L40_487_9) | left_apart_point(A39_487_9, reverse_line(L40_487_9)))
% 147.15/22.45
% 147.15/22.45 [8393] ALPHA_NOT_OR : ~(left_apart_point(A39_487_9, L40_487_9) | left_apart_point(A39_487_9, reverse_line(L40_487_9)))
% 147.15/22.45 -> [8395] ~left_apart_point(A39_487_9, L40_487_9), ~left_apart_point(A39_487_9, reverse_line(L40_487_9))
% 147.15/22.45
% 147.15/22.45 [8395] CLOSURE : ~left_apart_point(A39_487_9, L40_487_9)
% 147.15/22.45
% 147.15/22.45 [742] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.45 -> [807] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [807] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.45 -> [914] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45
% 147.15/22.45 [914] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45 -> [918] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [919] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45
% 147.15/22.45 [918] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [919] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45 -> [2057] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [2058] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [2058] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [2057] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.45 -> [2479] ~distinct_lines(N27_67_3, N27_67_3)
% 147.15/22.45
% 147.15/22.45 [2479] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.45 -> [2515] (distinct_lines(N27_67_3, N27_67_3) => (distinct_lines(N27_67_3, N27_67_3) | distinct_lines(N27_67_3, N27_67_3)))
% 147.15/22.45
% 147.15/22.45 [2515] BETA_IMPLY : (distinct_lines(N27_67_3, N27_67_3) => (distinct_lines(N27_67_3, N27_67_3) | distinct_lines(N27_67_3, N27_67_3)))
% 147.15/22.45 -> [2516] ~distinct_lines(N27_67_3, N27_67_3)
% 147.15/22.45 -> [2517] (distinct_lines(N27_67_3, N27_67_3) | distinct_lines(N27_67_3, N27_67_3))
% 147.15/22.45
% 147.15/22.45 [2517] BETA_OR : (distinct_lines(N27_67_3, N27_67_3) | distinct_lines(N27_67_3, N27_67_3))
% 147.15/22.45 -> [2519] distinct_lines(N27_67_3, N27_67_3)
% 147.15/22.45 -> [2520] distinct_lines(N27_67_3, N27_67_3)
% 147.15/22.45
% 147.15/22.45 [2519] CLOSURE : distinct_lines(N27_67_3, N27_67_3)
% 147.15/22.45
% 147.15/22.45 [2520] CLOSURE : distinct_lines(N27_67_3, N27_67_3)
% 147.15/22.45
% 147.15/22.45 [2516] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.45 -> [2611] ~unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [2611] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.45 -> [2680] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45
% 147.15/22.45 [2680] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) => (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45 -> [2682] ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [2683] (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45
% 147.15/22.45 [2682] CLOSURE : ~unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [2683] BETA_OR : (unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [3102] unequally_directed_lines(skolem_M7878, line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [3103] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [3103] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [3102] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.45 -> [3325] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_16_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_16_6))) | (unequally_directed_lines(skolem_N7979, N34_16_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_16_6)))))
% 147.15/22.45
% 147.15/22.45 [3325] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_16_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_16_6))) | (unequally_directed_lines(skolem_N7979, N34_16_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_16_6)))))
% 147.15/22.45 -> [3330] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [3331] ((unequally_directed_lines(skolem_M7878, N34_16_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_16_6))) | (unequally_directed_lines(skolem_N7979, N34_16_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_16_6))))
% 147.15/22.45
% 147.15/22.45 [3330] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [3348] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [3349] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [3348] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [3349] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [3331] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_16_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_16_6))) | (unequally_directed_lines(skolem_N7979, N34_16_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_16_6))))
% 147.15/22.45 -> [7360] (unequally_directed_lines(skolem_M7878, N34_16_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_16_6)))
% 147.15/22.45 -> [7361] (unequally_directed_lines(skolem_N7979, N34_16_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_16_6)))
% 147.15/22.45
% 147.15/22.45 [7360] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_16_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_16_6)))
% 147.15/22.45 -> [7403] unequally_directed_lines(skolem_M7878, N34_16_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_16_6))
% 147.15/22.45
% 147.15/22.45 [7403] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [7613] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.15/22.45
% 147.15/22.45 [7613] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.15/22.45 -> [7616] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [7617] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45
% 147.15/22.45 [7617] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45 -> [7626] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [7627] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45
% 147.15/22.45 [7626] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [7627] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [7820] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [7820] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [7821] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7822] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [7822] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7824] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [7825] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7825] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8061] ~(left_apart_point(A39_436_9, L40_436_9) | left_apart_point(A39_436_9, reverse_line(L40_436_9)))
% 147.15/22.45
% 147.15/22.45 [8061] ALPHA_NOT_OR : ~(left_apart_point(A39_436_9, L40_436_9) | left_apart_point(A39_436_9, reverse_line(L40_436_9)))
% 147.15/22.45 -> [8062] ~left_apart_point(A39_436_9, L40_436_9), ~left_apart_point(A39_436_9, reverse_line(L40_436_9))
% 147.15/22.45
% 147.15/22.45 [8062] CLOSURE : ~left_apart_point(A39_436_9, L40_436_9)
% 147.15/22.45
% 147.15/22.45 [7824] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8151] ~(left_apart_point(A39_449_9, L40_449_9) | left_apart_point(A39_449_9, reverse_line(L40_449_9)))
% 147.15/22.45
% 147.15/22.45 [8151] ALPHA_NOT_OR : ~(left_apart_point(A39_449_9, L40_449_9) | left_apart_point(A39_449_9, reverse_line(L40_449_9)))
% 147.15/22.45 -> [8155] ~left_apart_point(A39_449_9, L40_449_9), ~left_apart_point(A39_449_9, reverse_line(L40_449_9))
% 147.15/22.45
% 147.15/22.45 [8155] CLOSURE : ~left_apart_point(A39_449_9, L40_449_9)
% 147.15/22.45
% 147.15/22.45 [7821] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7878] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [7879] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7879] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7878] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [7616] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [7654] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [7655] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [7655] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [7801] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [7801] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [7802] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7803] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [7803] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7811] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [7812] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7812] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8043] ~(left_apart_point(A39_434_9, L40_434_9) | left_apart_point(A39_434_9, reverse_line(L40_434_9)))
% 147.15/22.45
% 147.15/22.45 [8043] ALPHA_NOT_OR : ~(left_apart_point(A39_434_9, L40_434_9) | left_apart_point(A39_434_9, reverse_line(L40_434_9)))
% 147.15/22.45 -> [8045] ~left_apart_point(A39_434_9, L40_434_9), ~left_apart_point(A39_434_9, reverse_line(L40_434_9))
% 147.15/22.45
% 147.15/22.45 [8045] CLOSURE : ~left_apart_point(A39_434_9, L40_434_9)
% 147.15/22.45
% 147.15/22.45 [7811] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8090] ~(left_apart_point(A39_441_9, L40_441_9) | left_apart_point(A39_441_9, reverse_line(L40_441_9)))
% 147.15/22.45
% 147.15/22.45 [8090] ALPHA_NOT_OR : ~(left_apart_point(A39_441_9, L40_441_9) | left_apart_point(A39_441_9, reverse_line(L40_441_9)))
% 147.15/22.45 -> [8091] ~left_apart_point(A39_441_9, L40_441_9), ~left_apart_point(A39_441_9, reverse_line(L40_441_9))
% 147.15/22.45
% 147.15/22.45 [8091] CLOSURE : ~left_apart_point(A39_441_9, L40_441_9)
% 147.15/22.45
% 147.15/22.45 [7802] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7866] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [7867] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7866] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [7867] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7654] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [7914] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [7914] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [7915] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7916] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [7916] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7920] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [7921] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7921] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8187] ~(left_apart_point(A39_454_9, L40_454_9) | left_apart_point(A39_454_9, reverse_line(L40_454_9)))
% 147.15/22.45
% 147.15/22.45 [8187] ALPHA_NOT_OR : ~(left_apart_point(A39_454_9, L40_454_9) | left_apart_point(A39_454_9, reverse_line(L40_454_9)))
% 147.15/22.45 -> [8188] ~left_apart_point(A39_454_9, L40_454_9), ~left_apart_point(A39_454_9, reverse_line(L40_454_9))
% 147.15/22.45
% 147.15/22.45 [8188] CLOSURE : ~left_apart_point(A39_454_9, L40_454_9)
% 147.15/22.45
% 147.15/22.45 [7920] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8186] ~(left_apart_point(A39_453_9, L40_453_9) | left_apart_point(A39_453_9, reverse_line(L40_453_9)))
% 147.15/22.45
% 147.15/22.45 [8186] ALPHA_NOT_OR : ~(left_apart_point(A39_453_9, L40_453_9) | left_apart_point(A39_453_9, reverse_line(L40_453_9)))
% 147.15/22.45 -> [8282] ~left_apart_point(A39_453_9, L40_453_9), ~left_apart_point(A39_453_9, reverse_line(L40_453_9))
% 147.15/22.45
% 147.15/22.45 [8282] CLOSURE : ~left_apart_point(A39_453_9, L40_453_9)
% 147.15/22.45
% 147.15/22.45 [7915] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [7977] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [7978] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7978] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [7977] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [7361] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_16_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_16_6)))
% 147.15/22.45 -> [7368] unequally_directed_lines(skolem_N7979, N34_16_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_16_6))
% 147.15/22.45
% 147.15/22.45 [7368] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [7628] ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.15/22.45
% 147.15/22.45 [7628] BETA_IMPLY : ((line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))) => (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))))
% 147.15/22.45 -> [7629] ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [7630] (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45
% 147.15/22.45 [7630] BETA_OR : (unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) | unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))))
% 147.15/22.45 -> [7634] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [7635] unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), reverse_line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45
% 147.15/22.45 [7634] CLOSURE : unequally_directed_lines(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181), line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [7635] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [7841] ((unequally_directed_lines(skolem_N7979, M38_231_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_231_8))) => (left_convergent_lines(skolem_N7979, M38_231_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_231_8))))
% 147.15/22.45
% 147.15/22.45 [7841] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_231_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_231_8))) => (left_convergent_lines(skolem_N7979, M38_231_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_231_8))))
% 147.15/22.45 -> [7842] ~(unequally_directed_lines(skolem_N7979, M38_231_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_231_8)))
% 147.15/22.45 -> [7843] (left_convergent_lines(skolem_N7979, M38_231_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_231_8)))
% 147.15/22.45
% 147.15/22.45 [7843] BETA_OR : (left_convergent_lines(skolem_N7979, M38_231_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_231_8)))
% 147.15/22.45 -> [7846] left_convergent_lines(skolem_N7979, M38_231_8)
% 147.15/22.45 -> [7847] left_convergent_lines(skolem_N7979, reverse_line(M38_231_8))
% 147.15/22.45
% 147.15/22.45 [7847] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8067] ~(left_apart_point(A39_438_9, L40_438_9) | left_apart_point(A39_438_9, reverse_line(L40_438_9)))
% 147.15/22.45
% 147.15/22.45 [8067] ALPHA_NOT_OR : ~(left_apart_point(A39_438_9, L40_438_9) | left_apart_point(A39_438_9, reverse_line(L40_438_9)))
% 147.15/22.45 -> [8068] ~left_apart_point(A39_438_9, L40_438_9), ~left_apart_point(A39_438_9, reverse_line(L40_438_9))
% 147.15/22.45
% 147.15/22.45 [8068] CLOSURE : ~left_apart_point(A39_438_9, L40_438_9)
% 147.15/22.45
% 147.15/22.45 [7846] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8101] ~(left_apart_point(A39_442_9, L40_442_9) | left_apart_point(A39_442_9, reverse_line(L40_442_9)))
% 147.15/22.45
% 147.15/22.45 [8101] ALPHA_NOT_OR : ~(left_apart_point(A39_442_9, L40_442_9) | left_apart_point(A39_442_9, reverse_line(L40_442_9)))
% 147.15/22.45 -> [8104] ~left_apart_point(A39_442_9, L40_442_9), ~left_apart_point(A39_442_9, reverse_line(L40_442_9))
% 147.15/22.45
% 147.15/22.45 [8104] CLOSURE : ~left_apart_point(A39_442_9, L40_442_9)
% 147.15/22.45
% 147.15/22.45 [7842] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_231_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_231_8)))
% 147.15/22.45 -> [7892] ~unequally_directed_lines(skolem_N7979, M38_231_8)
% 147.15/22.45 -> [7893] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_231_8))
% 147.15/22.45
% 147.15/22.45 [7893] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_231_8))
% 147.15/22.45
% 147.15/22.45 [7892] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_231_8)
% 147.15/22.45
% 147.15/22.45 [7629] BETA_NOT_AND : ~(line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)) & line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)))
% 147.15/22.45 -> [7674] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45 -> [7675] ~line(line_connecting(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [7675] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [7833] ((unequally_directed_lines(skolem_N7979, M38_230_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_230_8))) => (left_convergent_lines(skolem_N7979, M38_230_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_230_8))))
% 147.15/22.45
% 147.15/22.45 [7833] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_230_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_230_8))) => (left_convergent_lines(skolem_N7979, M38_230_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_230_8))))
% 147.15/22.45 -> [7835] ~(unequally_directed_lines(skolem_N7979, M38_230_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_230_8)))
% 147.15/22.45 -> [7836] (left_convergent_lines(skolem_N7979, M38_230_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_230_8)))
% 147.15/22.45
% 147.15/22.45 [7835] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_230_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_230_8)))
% 147.15/22.45 -> [8048] ~unequally_directed_lines(skolem_N7979, M38_230_8)
% 147.15/22.45 -> [8049] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_230_8))
% 147.15/22.45
% 147.15/22.45 [8049] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_230_8))
% 147.15/22.45
% 147.15/22.45 [8048] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_230_8)
% 147.15/22.45
% 147.15/22.45 [7836] BETA_OR : (left_convergent_lines(skolem_N7979, M38_230_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_230_8)))
% 147.15/22.45 -> [7837] left_convergent_lines(skolem_N7979, M38_230_8)
% 147.15/22.45 -> [7838] left_convergent_lines(skolem_N7979, reverse_line(M38_230_8))
% 147.15/22.45
% 147.15/22.45 [7837] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8319] ~(left_apart_point(A39_479_9, L40_479_9) | left_apart_point(A39_479_9, reverse_line(L40_479_9)))
% 147.15/22.45
% 147.15/22.45 [8319] ALPHA_NOT_OR : ~(left_apart_point(A39_479_9, L40_479_9) | left_apart_point(A39_479_9, reverse_line(L40_479_9)))
% 147.15/22.45 -> [8321] ~left_apart_point(A39_479_9, L40_479_9), ~left_apart_point(A39_479_9, reverse_line(L40_479_9))
% 147.15/22.45
% 147.15/22.45 [8321] CLOSURE : ~left_apart_point(A39_479_9, L40_479_9)
% 147.15/22.45
% 147.15/22.45 [7838] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8293] ~(left_apart_point(A39_476_9, L40_476_9) | left_apart_point(A39_476_9, reverse_line(L40_476_9)))
% 147.15/22.45
% 147.15/22.45 [8293] ALPHA_NOT_OR : ~(left_apart_point(A39_476_9, L40_476_9) | left_apart_point(A39_476_9, reverse_line(L40_476_9)))
% 147.15/22.45 -> [8294] ~left_apart_point(A39_476_9, L40_476_9), ~left_apart_point(A39_476_9, reverse_line(L40_476_9))
% 147.15/22.45
% 147.15/22.45 [8294] CLOSURE : ~left_apart_point(A39_476_9, L40_476_9)
% 147.15/22.45
% 147.15/22.45 [7674] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [7888] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [7888] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45 -> [7890] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [7891] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [7891] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [8012] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [8013] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [8013] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8180] ~(left_apart_point(A39_452_9, L40_452_9) | left_apart_point(A39_452_9, reverse_line(L40_452_9)))
% 147.15/22.45
% 147.15/22.45 [8180] ALPHA_NOT_OR : ~(left_apart_point(A39_452_9, L40_452_9) | left_apart_point(A39_452_9, reverse_line(L40_452_9)))
% 147.15/22.45 -> [8185] ~left_apart_point(A39_452_9, L40_452_9), ~left_apart_point(A39_452_9, reverse_line(L40_452_9))
% 147.15/22.45
% 147.15/22.45 [8185] CLOSURE : ~left_apart_point(A39_452_9, L40_452_9)
% 147.15/22.45
% 147.15/22.45 [8012] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [8229] ~(left_apart_point(A39_463_9, L40_463_9) | left_apart_point(A39_463_9, reverse_line(L40_463_9)))
% 147.15/22.45
% 147.15/22.45 [8229] ALPHA_NOT_OR : ~(left_apart_point(A39_463_9, L40_463_9) | left_apart_point(A39_463_9, reverse_line(L40_463_9)))
% 147.15/22.45 -> [8233] ~left_apart_point(A39_463_9, L40_463_9), ~left_apart_point(A39_463_9, reverse_line(L40_463_9))
% 147.15/22.45
% 147.15/22.45 [8233] CLOSURE : ~left_apart_point(A39_463_9, L40_463_9)
% 147.15/22.45
% 147.15/22.45 [7890] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [8027] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [8028] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [8027] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [8028] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [253] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [355] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.45 -> [356] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [356] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [360] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [360] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [700] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.45 -> [701] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [701] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [705] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [705] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [708] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.45 -> [709] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [708] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [709] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [700] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [715] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.45 -> [716] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [715] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [716] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [355] BETA_NOT_AND : ~((distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))) & ~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [640] ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.45 -> [641] ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [641] ALPHA_NOT_NOT : ~~(left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [645] (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [645] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.45 -> [646] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.45 -> [647] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [647] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.45 -> [650] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [650] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [651] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.45 -> [652] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [651] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [652] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [646] BETA_OR : (left_apart_point(skolem_B8181, skolem_M7878) | left_apart_point(skolem_B8181, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [762] left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.45 -> [763] left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [762] CLOSURE : left_apart_point(skolem_B8181, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [763] CLOSURE : left_apart_point(skolem_B8181, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [640] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))))
% 147.15/22.45 -> [659] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_B8181)
% 147.15/22.45 -> [660] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [659] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.45 -> [689] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.15/22.45 -> [690] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [689] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.45 -> [759] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [759] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.45 -> [766] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45
% 147.15/22.45 [766] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45 -> [767] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [768] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45
% 147.15/22.45 [767] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [768] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45 -> [2125] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [2126] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [2126] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [2125] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.45 -> [2452] ~distinct_lines(N27_65_3, N27_65_3)
% 147.15/22.45
% 147.15/22.45 [2452] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.45 -> [2470] (distinct_lines(N27_65_3, N27_65_3) => (distinct_lines(N27_65_3, N27_65_3) | distinct_lines(N27_65_3, N27_65_3)))
% 147.15/22.45
% 147.15/22.45 [2470] BETA_IMPLY : (distinct_lines(N27_65_3, N27_65_3) => (distinct_lines(N27_65_3, N27_65_3) | distinct_lines(N27_65_3, N27_65_3)))
% 147.15/22.45 -> [2471] ~distinct_lines(N27_65_3, N27_65_3)
% 147.15/22.45 -> [2472] (distinct_lines(N27_65_3, N27_65_3) | distinct_lines(N27_65_3, N27_65_3))
% 147.15/22.45
% 147.15/22.45 [2472] BETA_OR : (distinct_lines(N27_65_3, N27_65_3) | distinct_lines(N27_65_3, N27_65_3))
% 147.15/22.45 -> [2473] distinct_lines(N27_65_3, N27_65_3)
% 147.15/22.45 -> [2474] distinct_lines(N27_65_3, N27_65_3)
% 147.15/22.45
% 147.15/22.45 [2474] CLOSURE : distinct_lines(N27_65_3, N27_65_3)
% 147.15/22.45
% 147.15/22.45 [2473] CLOSURE : distinct_lines(N27_65_3, N27_65_3)
% 147.15/22.45
% 147.15/22.45 [2471] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.45 -> [2513] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [2513] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.45 -> [2586] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [2586] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.45 -> [2590] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45 -> [2591] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [2590] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [2591] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.45 -> [3159] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45 -> [3160] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [3159] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [3160] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.45 -> [3393] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.45
% 147.15/22.45 [3393] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.45 -> [3422] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [3423] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [3422] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [3445] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [3446] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [3446] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [3445] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [3423] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [4592] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [4593] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [4592] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [4628] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [4628] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [4593] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [4599] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [4599] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [4665] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [4665] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [4666] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.45 -> [4667] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [4667] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [4668] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45 -> [4669] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [4668] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [4669] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [4834] ((unequally_directed_lines(skolem_N7979, M38_61_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_61_8))) => (left_convergent_lines(skolem_N7979, M38_61_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_61_8))))
% 147.15/22.45
% 147.15/22.45 [4834] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_61_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_61_8))) => (left_convergent_lines(skolem_N7979, M38_61_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_61_8))))
% 147.15/22.45 -> [4838] ~(unequally_directed_lines(skolem_N7979, M38_61_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_61_8)))
% 147.15/22.45 -> [4839] (left_convergent_lines(skolem_N7979, M38_61_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_61_8)))
% 147.15/22.45
% 147.15/22.45 [4839] BETA_OR : (left_convergent_lines(skolem_N7979, M38_61_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_61_8)))
% 147.15/22.45 -> [4841] left_convergent_lines(skolem_N7979, M38_61_8)
% 147.15/22.45 -> [4842] left_convergent_lines(skolem_N7979, reverse_line(M38_61_8))
% 147.15/22.45
% 147.15/22.45 [4841] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [5092] ~(left_apart_point(A39_130_9, L40_130_9) | left_apart_point(A39_130_9, reverse_line(L40_130_9)))
% 147.15/22.45
% 147.15/22.45 [5092] ALPHA_NOT_OR : ~(left_apart_point(A39_130_9, L40_130_9) | left_apart_point(A39_130_9, reverse_line(L40_130_9)))
% 147.15/22.45 -> [5093] ~left_apart_point(A39_130_9, L40_130_9), ~left_apart_point(A39_130_9, reverse_line(L40_130_9))
% 147.15/22.45
% 147.15/22.45 [5093] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [5209] ~(left_convergent_lines(L41_17_10, M42_17_10) | left_convergent_lines(L41_17_10, reverse_line(M42_17_10)))
% 147.15/22.45
% 147.15/22.45 [5209] ALPHA_NOT_OR : ~(left_convergent_lines(L41_17_10, M42_17_10) | left_convergent_lines(L41_17_10, reverse_line(M42_17_10)))
% 147.15/22.45 -> [5210] ~left_convergent_lines(L41_17_10, M42_17_10), ~left_convergent_lines(L41_17_10, reverse_line(M42_17_10))
% 147.15/22.45
% 147.15/22.45 [5210] CLOSURE : ~left_convergent_lines(L41_17_10, M42_17_10)
% 147.15/22.45
% 147.15/22.45 [4842] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [5051] ~(left_apart_point(A39_124_9, L40_124_9) | left_apart_point(A39_124_9, reverse_line(L40_124_9)))
% 147.15/22.45
% 147.15/22.45 [5051] ALPHA_NOT_OR : ~(left_apart_point(A39_124_9, L40_124_9) | left_apart_point(A39_124_9, reverse_line(L40_124_9)))
% 147.15/22.45 -> [5052] ~left_apart_point(A39_124_9, L40_124_9), ~left_apart_point(A39_124_9, reverse_line(L40_124_9))
% 147.15/22.45
% 147.15/22.45 [5052] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [5212] ~(left_convergent_lines(L41_18_10, M42_18_10) | left_convergent_lines(L41_18_10, reverse_line(M42_18_10)))
% 147.15/22.45
% 147.15/22.45 [5212] ALPHA_NOT_OR : ~(left_convergent_lines(L41_18_10, M42_18_10) | left_convergent_lines(L41_18_10, reverse_line(M42_18_10)))
% 147.15/22.45 -> [5213] ~left_convergent_lines(L41_18_10, M42_18_10), ~left_convergent_lines(L41_18_10, reverse_line(M42_18_10))
% 147.15/22.45
% 147.15/22.45 [5213] CLOSURE : ~left_convergent_lines(L41_18_10, M42_18_10)
% 147.15/22.45
% 147.15/22.45 [4838] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_61_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_61_8)))
% 147.15/22.45 -> [4888] ~unequally_directed_lines(skolem_N7979, M38_61_8)
% 147.15/22.45 -> [4889] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_61_8))
% 147.15/22.45
% 147.15/22.45 [4889] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_61_8))
% 147.15/22.45
% 147.15/22.45 [4888] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_61_8)
% 147.15/22.45
% 147.15/22.45 [4666] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.45 -> [4693] ~line(skolem_M7878)
% 147.15/22.45 -> [4694] ~line(skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [4693] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [4813] ((unequally_directed_lines(skolem_N7979, M38_60_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_60_8))) => (left_convergent_lines(skolem_N7979, M38_60_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_60_8))))
% 147.15/22.45
% 147.15/22.45 [4813] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_60_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_60_8))) => (left_convergent_lines(skolem_N7979, M38_60_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_60_8))))
% 147.15/22.45 -> [4815] ~(unequally_directed_lines(skolem_N7979, M38_60_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_60_8)))
% 147.15/22.45 -> [4816] (left_convergent_lines(skolem_N7979, M38_60_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_60_8)))
% 147.15/22.45
% 147.15/22.45 [4815] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_60_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_60_8)))
% 147.15/22.45 -> [4883] ~unequally_directed_lines(skolem_N7979, M38_60_8)
% 147.15/22.45 -> [4884] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_60_8))
% 147.15/22.45
% 147.15/22.45 [4884] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_60_8))
% 147.15/22.45
% 147.15/22.45 [4883] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_60_8)
% 147.15/22.45
% 147.15/22.45 [4816] BETA_OR : (left_convergent_lines(skolem_N7979, M38_60_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_60_8)))
% 147.15/22.45 -> [4821] left_convergent_lines(skolem_N7979, M38_60_8)
% 147.15/22.45 -> [4822] left_convergent_lines(skolem_N7979, reverse_line(M38_60_8))
% 147.15/22.45
% 147.15/22.45 [4821] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [4900] ~(left_apart_point(A39_110_9, L40_110_9) | left_apart_point(A39_110_9, reverse_line(L40_110_9)))
% 147.15/22.45
% 147.15/22.45 [4900] ALPHA_NOT_OR : ~(left_apart_point(A39_110_9, L40_110_9) | left_apart_point(A39_110_9, reverse_line(L40_110_9)))
% 147.15/22.45 -> [4901] ~left_apart_point(A39_110_9, L40_110_9), ~left_apart_point(A39_110_9, reverse_line(L40_110_9))
% 147.15/22.45
% 147.15/22.45 [4901] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [4948] ~(left_convergent_lines(L41_14_10, M42_14_10) | left_convergent_lines(L41_14_10, reverse_line(M42_14_10)))
% 147.15/22.45
% 147.15/22.45 [4948] ALPHA_NOT_OR : ~(left_convergent_lines(L41_14_10, M42_14_10) | left_convergent_lines(L41_14_10, reverse_line(M42_14_10)))
% 147.15/22.45 -> [4952] ~left_convergent_lines(L41_14_10, M42_14_10), ~left_convergent_lines(L41_14_10, reverse_line(M42_14_10))
% 147.15/22.45
% 147.15/22.45 [4952] CLOSURE : ~left_convergent_lines(L41_14_10, M42_14_10)
% 147.15/22.45
% 147.15/22.45 [4822] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [5157] ~(left_apart_point(A39_141_9, L40_141_9) | left_apart_point(A39_141_9, reverse_line(L40_141_9)))
% 147.15/22.45
% 147.15/22.45 [5157] ALPHA_NOT_OR : ~(left_apart_point(A39_141_9, L40_141_9) | left_apart_point(A39_141_9, reverse_line(L40_141_9)))
% 147.15/22.45 -> [5158] ~left_apart_point(A39_141_9, L40_141_9), ~left_apart_point(A39_141_9, reverse_line(L40_141_9))
% 147.15/22.45
% 147.15/22.45 [5158] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [5312] ~(left_convergent_lines(L41_20_10, M42_20_10) | left_convergent_lines(L41_20_10, reverse_line(M42_20_10)))
% 147.15/22.45
% 147.15/22.45 [5312] ALPHA_NOT_OR : ~(left_convergent_lines(L41_20_10, M42_20_10) | left_convergent_lines(L41_20_10, reverse_line(M42_20_10)))
% 147.15/22.45 -> [5315] ~left_convergent_lines(L41_20_10, M42_20_10), ~left_convergent_lines(L41_20_10, reverse_line(M42_20_10))
% 147.15/22.45
% 147.15/22.45 [5315] CLOSURE : ~left_convergent_lines(L41_20_10, M42_20_10)
% 147.15/22.45
% 147.15/22.45 [4694] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [4778] ((unequally_directed_lines(skolem_N7979, M38_58_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_58_8))) => (left_convergent_lines(skolem_N7979, M38_58_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_58_8))))
% 147.15/22.45
% 147.15/22.45 [4778] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_58_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_58_8))) => (left_convergent_lines(skolem_N7979, M38_58_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_58_8))))
% 147.15/22.45 -> [4780] ~(unequally_directed_lines(skolem_N7979, M38_58_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_58_8)))
% 147.15/22.45 -> [4781] (left_convergent_lines(skolem_N7979, M38_58_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_58_8)))
% 147.15/22.45
% 147.15/22.45 [4780] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_58_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_58_8)))
% 147.15/22.45 -> [4828] ~unequally_directed_lines(skolem_N7979, M38_58_8)
% 147.15/22.45 -> [4829] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_58_8))
% 147.15/22.45
% 147.15/22.45 [4829] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_58_8))
% 147.15/22.45
% 147.15/22.45 [4828] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_58_8)
% 147.15/22.45
% 147.15/22.45 [4781] BETA_OR : (left_convergent_lines(skolem_N7979, M38_58_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_58_8)))
% 147.15/22.45 -> [4782] left_convergent_lines(skolem_N7979, M38_58_8)
% 147.15/22.45 -> [4783] left_convergent_lines(skolem_N7979, reverse_line(M38_58_8))
% 147.15/22.45
% 147.15/22.45 [4782] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [5042] ~(left_apart_point(A39_122_9, L40_122_9) | left_apart_point(A39_122_9, reverse_line(L40_122_9)))
% 147.15/22.45
% 147.15/22.45 [5042] ALPHA_NOT_OR : ~(left_apart_point(A39_122_9, L40_122_9) | left_apart_point(A39_122_9, reverse_line(L40_122_9)))
% 147.15/22.45 -> [5045] ~left_apart_point(A39_122_9, L40_122_9), ~left_apart_point(A39_122_9, reverse_line(L40_122_9))
% 147.15/22.45
% 147.15/22.45 [5045] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [5181] ~(left_convergent_lines(L41_16_10, M42_16_10) | left_convergent_lines(L41_16_10, reverse_line(M42_16_10)))
% 147.15/22.45
% 147.15/22.45 [5181] ALPHA_NOT_OR : ~(left_convergent_lines(L41_16_10, M42_16_10) | left_convergent_lines(L41_16_10, reverse_line(M42_16_10)))
% 147.15/22.45 -> [5183] ~left_convergent_lines(L41_16_10, M42_16_10), ~left_convergent_lines(L41_16_10, reverse_line(M42_16_10))
% 147.15/22.45
% 147.15/22.45 [5183] CLOSURE : ~left_convergent_lines(L41_16_10, M42_16_10)
% 147.15/22.45
% 147.15/22.45 [4783] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [4995] ~(left_apart_point(A39_114_9, L40_114_9) | left_apart_point(A39_114_9, reverse_line(L40_114_9)))
% 147.15/22.45
% 147.15/22.45 [4995] ALPHA_NOT_OR : ~(left_apart_point(A39_114_9, L40_114_9) | left_apart_point(A39_114_9, reverse_line(L40_114_9)))
% 147.15/22.45 -> [4999] ~left_apart_point(A39_114_9, L40_114_9), ~left_apart_point(A39_114_9, reverse_line(L40_114_9))
% 147.15/22.45
% 147.15/22.45 [4999] GAMMA_FORALL : ! [L41_41, M42_42] : (~(left_convergent_lines(L41_41, M42_42) | left_convergent_lines(L41_41, reverse_line(M42_42))))
% 147.15/22.45 -> [5682] ~(left_convergent_lines(L41_33_10, M42_33_10) | left_convergent_lines(L41_33_10, reverse_line(M42_33_10)))
% 147.15/22.45
% 147.15/22.45 [5682] ALPHA_NOT_OR : ~(left_convergent_lines(L41_33_10, M42_33_10) | left_convergent_lines(L41_33_10, reverse_line(M42_33_10)))
% 147.15/22.45 -> [5685] ~left_convergent_lines(L41_33_10, M42_33_10), ~left_convergent_lines(L41_33_10, reverse_line(M42_33_10))
% 147.15/22.45
% 147.15/22.45 [5685] CLOSURE : ~left_convergent_lines(L41_33_10, M42_33_10)
% 147.15/22.45
% 147.15/22.45 [690] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.45 -> [691] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [691] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.45 -> [692] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.45 -> [693] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [692] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.45 -> [717] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [717] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.45 -> [761] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45
% 147.15/22.45 [761] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45 -> [764] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [765] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45
% 147.15/22.45 [764] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [765] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45 -> [1273] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [1274] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [1274] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [1273] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.45 -> [1298] ~distinct_lines(N27_2_3, N27_2_3)
% 147.15/22.45
% 147.15/22.45 [1298] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.45 -> [1308] (distinct_lines(N27_2_3, N27_2_3) => (distinct_lines(N27_2_3, N27_2_3) | distinct_lines(N27_2_3, N27_2_3)))
% 147.15/22.45
% 147.15/22.45 [1308] BETA_IMPLY : (distinct_lines(N27_2_3, N27_2_3) => (distinct_lines(N27_2_3, N27_2_3) | distinct_lines(N27_2_3, N27_2_3)))
% 147.15/22.45 -> [1309] ~distinct_lines(N27_2_3, N27_2_3)
% 147.15/22.45 -> [1310] (distinct_lines(N27_2_3, N27_2_3) | distinct_lines(N27_2_3, N27_2_3))
% 147.15/22.45
% 147.15/22.45 [1310] BETA_OR : (distinct_lines(N27_2_3, N27_2_3) | distinct_lines(N27_2_3, N27_2_3))
% 147.15/22.45 -> [1311] distinct_lines(N27_2_3, N27_2_3)
% 147.15/22.45 -> [1312] distinct_lines(N27_2_3, N27_2_3)
% 147.15/22.45
% 147.15/22.45 [1311] CLOSURE : distinct_lines(N27_2_3, N27_2_3)
% 147.15/22.45
% 147.15/22.45 [1312] CLOSURE : distinct_lines(N27_2_3, N27_2_3)
% 147.15/22.45
% 147.15/22.45 [1309] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.45 -> [1324] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [1324] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.45 -> [1336] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [1336] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.45 -> [1338] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45 -> [1339] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [1338] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [1339] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.45 -> [1774] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45 -> [1775] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [1775] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [1774] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.45 -> [2033] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_0_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_0_6))) | (unequally_directed_lines(skolem_N7979, N34_0_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_0_6)))))
% 147.15/22.45
% 147.15/22.45 [2033] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_0_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_0_6))) | (unequally_directed_lines(skolem_N7979, N34_0_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_0_6)))))
% 147.15/22.45 -> [2172] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [2173] ((unequally_directed_lines(skolem_M7878, N34_0_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_0_6))) | (unequally_directed_lines(skolem_N7979, N34_0_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_0_6))))
% 147.15/22.45
% 147.15/22.45 [2172] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [2204] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [2205] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [2204] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [2205] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [2173] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_0_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_0_6))) | (unequally_directed_lines(skolem_N7979, N34_0_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_0_6))))
% 147.15/22.45 -> [4184] (unequally_directed_lines(skolem_M7878, N34_0_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_0_6)))
% 147.15/22.45 -> [4185] (unequally_directed_lines(skolem_N7979, N34_0_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_0_6)))
% 147.15/22.45
% 147.15/22.45 [4184] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_0_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_0_6)))
% 147.15/22.45 -> [4219] unequally_directed_lines(skolem_M7878, N34_0_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_0_6))
% 147.15/22.45
% 147.15/22.45 [4219] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [4324] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.45
% 147.15/22.45 [4324] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.45 -> [4327] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.45 -> [4328] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.45
% 147.15/22.45 [4327] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.45 -> [4356] ~line(skolem_L7777)
% 147.15/22.45 -> [4357] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [4357] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [4432] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [4432] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [4433] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [4434] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [4434] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [4437] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [4438] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [4438] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [4535] ~(left_apart_point(A39_87_9, L40_87_9) | left_apart_point(A39_87_9, reverse_line(L40_87_9)))
% 147.15/22.45
% 147.15/22.45 [4535] ALPHA_NOT_OR : ~(left_apart_point(A39_87_9, L40_87_9) | left_apart_point(A39_87_9, reverse_line(L40_87_9)))
% 147.15/22.45 -> [4536] ~left_apart_point(A39_87_9, L40_87_9), ~left_apart_point(A39_87_9, reverse_line(L40_87_9))
% 147.15/22.45
% 147.15/22.45 [4536] CLOSURE : ~left_apart_point(A39_87_9, L40_87_9)
% 147.15/22.45
% 147.15/22.45 [4437] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [4574] ~(left_apart_point(A39_95_9, L40_95_9) | left_apart_point(A39_95_9, reverse_line(L40_95_9)))
% 147.15/22.45
% 147.15/22.45 [4574] ALPHA_NOT_OR : ~(left_apart_point(A39_95_9, L40_95_9) | left_apart_point(A39_95_9, reverse_line(L40_95_9)))
% 147.15/22.45 -> [4576] ~left_apart_point(A39_95_9, L40_95_9), ~left_apart_point(A39_95_9, reverse_line(L40_95_9))
% 147.15/22.45
% 147.15/22.45 [4576] CLOSURE : ~left_apart_point(A39_95_9, L40_95_9)
% 147.15/22.45
% 147.15/22.45 [4433] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [4478] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [4479] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [4479] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [4478] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [4356] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [4490] ((unequally_directed_lines(skolem_M7878, M38_50_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_50_8))) => (left_convergent_lines(skolem_M7878, M38_50_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_50_8))))
% 147.15/22.45
% 147.15/22.45 [4490] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_50_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_50_8))) => (left_convergent_lines(skolem_M7878, M38_50_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_50_8))))
% 147.15/22.45 -> [4494] ~(unequally_directed_lines(skolem_M7878, M38_50_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_50_8)))
% 147.15/22.45 -> [4495] (left_convergent_lines(skolem_M7878, M38_50_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_50_8)))
% 147.15/22.45
% 147.15/22.45 [4494] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_50_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_50_8)))
% 147.15/22.45 -> [4505] ~unequally_directed_lines(skolem_M7878, M38_50_8)
% 147.15/22.45 -> [4506] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_50_8))
% 147.15/22.45
% 147.15/22.45 [4506] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_50_8))
% 147.15/22.45
% 147.15/22.45 [4505] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_50_8)
% 147.15/22.45
% 147.15/22.45 [4495] BETA_OR : (left_convergent_lines(skolem_M7878, M38_50_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_50_8)))
% 147.15/22.45 -> [4498] left_convergent_lines(skolem_M7878, M38_50_8)
% 147.15/22.45 -> [4499] left_convergent_lines(skolem_M7878, reverse_line(M38_50_8))
% 147.15/22.45
% 147.15/22.45 [4499] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [4589] ~(left_apart_point(A39_96_9, L40_96_9) | left_apart_point(A39_96_9, reverse_line(L40_96_9)))
% 147.15/22.45
% 147.15/22.45 [4589] ALPHA_NOT_OR : ~(left_apart_point(A39_96_9, L40_96_9) | left_apart_point(A39_96_9, reverse_line(L40_96_9)))
% 147.15/22.45 -> [4590] ~left_apart_point(A39_96_9, L40_96_9), ~left_apart_point(A39_96_9, reverse_line(L40_96_9))
% 147.15/22.45
% 147.15/22.45 [4590] CLOSURE : ~left_apart_point(A39_96_9, L40_96_9)
% 147.15/22.45
% 147.15/22.45 [4498] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [4640] ~(left_apart_point(A39_98_9, L40_98_9) | left_apart_point(A39_98_9, reverse_line(L40_98_9)))
% 147.15/22.45
% 147.15/22.45 [4640] ALPHA_NOT_OR : ~(left_apart_point(A39_98_9, L40_98_9) | left_apart_point(A39_98_9, reverse_line(L40_98_9)))
% 147.15/22.45 -> [4641] ~left_apart_point(A39_98_9, L40_98_9), ~left_apart_point(A39_98_9, reverse_line(L40_98_9))
% 147.15/22.45
% 147.15/22.45 [4641] CLOSURE : ~left_apart_point(A39_98_9, L40_98_9)
% 147.15/22.45
% 147.15/22.45 [4328] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.45 -> [4333] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.45 -> [4334] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.45
% 147.15/22.45 [4333] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [4334] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [5295] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [5295] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [5297] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [5298] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [5298] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [5305] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [5306] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [5306] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [5351] ~(left_apart_point(A39_161_9, L40_161_9) | left_apart_point(A39_161_9, reverse_line(L40_161_9)))
% 147.15/22.45
% 147.15/22.45 [5351] ALPHA_NOT_OR : ~(left_apart_point(A39_161_9, L40_161_9) | left_apart_point(A39_161_9, reverse_line(L40_161_9)))
% 147.15/22.45 -> [5352] ~left_apart_point(A39_161_9, L40_161_9), ~left_apart_point(A39_161_9, reverse_line(L40_161_9))
% 147.15/22.45
% 147.15/22.45 [5352] CLOSURE : ~left_apart_point(A39_161_9, L40_161_9)
% 147.15/22.45
% 147.15/22.45 [5305] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [5359] ~(left_apart_point(A39_163_9, L40_163_9) | left_apart_point(A39_163_9, reverse_line(L40_163_9)))
% 147.15/22.45
% 147.15/22.45 [5359] ALPHA_NOT_OR : ~(left_apart_point(A39_163_9, L40_163_9) | left_apart_point(A39_163_9, reverse_line(L40_163_9)))
% 147.15/22.45 -> [5360] ~left_apart_point(A39_163_9, L40_163_9), ~left_apart_point(A39_163_9, reverse_line(L40_163_9))
% 147.15/22.45
% 147.15/22.45 [5360] CLOSURE : ~left_apart_point(A39_163_9, L40_163_9)
% 147.15/22.45
% 147.15/22.45 [5297] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [5323] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [5324] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [5324] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [5323] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [4185] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_0_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_0_6)))
% 147.15/22.45 -> [4188] unequally_directed_lines(skolem_N7979, N34_0_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_0_6))
% 147.15/22.45
% 147.15/22.45 [4188] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [4312] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [4312] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.45 -> [4314] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.45 -> [4315] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [4314] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.45 -> [4340] ~line(reverse_line(skolem_N7979))
% 147.15/22.45 -> [4341] ~line(skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [4341] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [4399] ((unequally_directed_lines(skolem_N7979, M38_43_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_43_8))) => (left_convergent_lines(skolem_N7979, M38_43_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_43_8))))
% 147.15/22.45
% 147.15/22.45 [4399] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_43_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_43_8))) => (left_convergent_lines(skolem_N7979, M38_43_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_43_8))))
% 147.15/22.45 -> [4405] ~(unequally_directed_lines(skolem_N7979, M38_43_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_43_8)))
% 147.15/22.45 -> [4406] (left_convergent_lines(skolem_N7979, M38_43_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_43_8)))
% 147.15/22.45
% 147.15/22.45 [4406] BETA_OR : (left_convergent_lines(skolem_N7979, M38_43_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_43_8)))
% 147.15/22.45 -> [4411] left_convergent_lines(skolem_N7979, M38_43_8)
% 147.15/22.45 -> [4412] left_convergent_lines(skolem_N7979, reverse_line(M38_43_8))
% 147.15/22.45
% 147.15/22.45 [4412] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [4511] ~(left_apart_point(A39_83_9, L40_83_9) | left_apart_point(A39_83_9, reverse_line(L40_83_9)))
% 147.15/22.45
% 147.15/22.45 [4511] ALPHA_NOT_OR : ~(left_apart_point(A39_83_9, L40_83_9) | left_apart_point(A39_83_9, reverse_line(L40_83_9)))
% 147.15/22.45 -> [4512] ~left_apart_point(A39_83_9, L40_83_9), ~left_apart_point(A39_83_9, reverse_line(L40_83_9))
% 147.15/22.45
% 147.15/22.45 [4512] CLOSURE : ~left_apart_point(A39_83_9, L40_83_9)
% 147.15/22.45
% 147.15/22.45 [4411] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [4543] ~(left_apart_point(A39_88_9, L40_88_9) | left_apart_point(A39_88_9, reverse_line(L40_88_9)))
% 147.15/22.45
% 147.15/22.45 [4543] ALPHA_NOT_OR : ~(left_apart_point(A39_88_9, L40_88_9) | left_apart_point(A39_88_9, reverse_line(L40_88_9)))
% 147.15/22.45 -> [4544] ~left_apart_point(A39_88_9, L40_88_9), ~left_apart_point(A39_88_9, reverse_line(L40_88_9))
% 147.15/22.45
% 147.15/22.45 [4544] CLOSURE : ~left_apart_point(A39_88_9, L40_88_9)
% 147.15/22.45
% 147.15/22.45 [4405] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_43_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_43_8)))
% 147.15/22.45 -> [4454] ~unequally_directed_lines(skolem_N7979, M38_43_8)
% 147.15/22.45 -> [4455] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_43_8))
% 147.15/22.45
% 147.15/22.45 [4455] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_43_8))
% 147.15/22.45
% 147.15/22.45 [4454] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_43_8)
% 147.15/22.45
% 147.15/22.45 [4340] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [4446] ((unequally_directed_lines(skolem_N7979, M38_47_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_47_8))) => (left_convergent_lines(skolem_N7979, M38_47_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_47_8))))
% 147.15/22.45
% 147.15/22.45 [4446] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_47_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_47_8))) => (left_convergent_lines(skolem_N7979, M38_47_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_47_8))))
% 147.15/22.45 -> [4447] ~(unequally_directed_lines(skolem_N7979, M38_47_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_47_8)))
% 147.15/22.45 -> [4448] (left_convergent_lines(skolem_N7979, M38_47_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_47_8)))
% 147.15/22.45
% 147.15/22.45 [4447] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_47_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_47_8)))
% 147.15/22.45 -> [4509] ~unequally_directed_lines(skolem_N7979, M38_47_8)
% 147.15/22.45 -> [4510] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_47_8))
% 147.15/22.45
% 147.15/22.45 [4510] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_47_8))
% 147.15/22.45
% 147.15/22.45 [4509] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_47_8)
% 147.15/22.45
% 147.15/22.45 [4448] BETA_OR : (left_convergent_lines(skolem_N7979, M38_47_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_47_8)))
% 147.15/22.45 -> [4451] left_convergent_lines(skolem_N7979, M38_47_8)
% 147.15/22.45 -> [4452] left_convergent_lines(skolem_N7979, reverse_line(M38_47_8))
% 147.15/22.45
% 147.15/22.45 [4451] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [4571] ~(left_apart_point(A39_94_9, L40_94_9) | left_apart_point(A39_94_9, reverse_line(L40_94_9)))
% 147.15/22.45
% 147.15/22.45 [4571] ALPHA_NOT_OR : ~(left_apart_point(A39_94_9, L40_94_9) | left_apart_point(A39_94_9, reverse_line(L40_94_9)))
% 147.15/22.45 -> [4573] ~left_apart_point(A39_94_9, L40_94_9), ~left_apart_point(A39_94_9, reverse_line(L40_94_9))
% 147.15/22.45
% 147.15/22.45 [4573] CLOSURE : ~left_apart_point(A39_94_9, L40_94_9)
% 147.15/22.45
% 147.15/22.45 [4452] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [4661] ~(left_apart_point(A39_101_9, L40_101_9) | left_apart_point(A39_101_9, reverse_line(L40_101_9)))
% 147.15/22.45
% 147.15/22.45 [4661] ALPHA_NOT_OR : ~(left_apart_point(A39_101_9, L40_101_9) | left_apart_point(A39_101_9, reverse_line(L40_101_9)))
% 147.15/22.45 -> [4664] ~left_apart_point(A39_101_9, L40_101_9), ~left_apart_point(A39_101_9, reverse_line(L40_101_9))
% 147.15/22.45
% 147.15/22.45 [4664] CLOSURE : ~left_apart_point(A39_101_9, L40_101_9)
% 147.15/22.45
% 147.15/22.45 [4315] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.45 -> [4318] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.45 -> [4319] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [4319] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [4318] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [5722] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [5722] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45 -> [5723] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [5724] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [5724] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [5725] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [5726] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [5726] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [5830] ~(left_apart_point(A39_201_9, L40_201_9) | left_apart_point(A39_201_9, reverse_line(L40_201_9)))
% 147.15/22.45
% 147.15/22.45 [5830] ALPHA_NOT_OR : ~(left_apart_point(A39_201_9, L40_201_9) | left_apart_point(A39_201_9, reverse_line(L40_201_9)))
% 147.15/22.45 -> [5866] ~left_apart_point(A39_201_9, L40_201_9), ~left_apart_point(A39_201_9, reverse_line(L40_201_9))
% 147.15/22.45
% 147.15/22.45 [5866] CLOSURE : ~left_apart_point(A39_201_9, L40_201_9)
% 147.15/22.45
% 147.15/22.45 [5725] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [5854] ~(left_apart_point(A39_205_9, L40_205_9) | left_apart_point(A39_205_9, reverse_line(L40_205_9)))
% 147.15/22.45
% 147.15/22.45 [5854] ALPHA_NOT_OR : ~(left_apart_point(A39_205_9, L40_205_9) | left_apart_point(A39_205_9, reverse_line(L40_205_9)))
% 147.15/22.45 -> [5855] ~left_apart_point(A39_205_9, L40_205_9), ~left_apart_point(A39_205_9, reverse_line(L40_205_9))
% 147.15/22.45
% 147.15/22.45 [5855] CLOSURE : ~left_apart_point(A39_205_9, L40_205_9)
% 147.15/22.45
% 147.15/22.45 [5723] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [5764] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [5765] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [5765] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [5764] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [693] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.45 -> [750] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.45
% 147.15/22.45 [750] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.45 -> [786] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.45
% 147.15/22.45 [786] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.45 -> [787] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [788] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [787] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [788] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.45 -> [1654] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.45 -> [1655] distinct_points(skolem_A8080, skolem_B8181)
% 147.15/22.45
% 147.15/22.45 [1654] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.45
% 147.15/22.45 [1655] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.45 -> [2107] ~distinct_lines(N27_49_3, N27_49_3)
% 147.15/22.45
% 147.15/22.45 [2107] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.45 -> [2163] (distinct_lines(N27_49_3, N27_49_3) => (distinct_lines(N27_49_3, N27_49_3) | distinct_lines(N27_49_3, N27_49_3)))
% 147.15/22.45
% 147.15/22.45 [2163] BETA_IMPLY : (distinct_lines(N27_49_3, N27_49_3) => (distinct_lines(N27_49_3, N27_49_3) | distinct_lines(N27_49_3, N27_49_3)))
% 147.15/22.45 -> [2164] ~distinct_lines(N27_49_3, N27_49_3)
% 147.15/22.45 -> [2165] (distinct_lines(N27_49_3, N27_49_3) | distinct_lines(N27_49_3, N27_49_3))
% 147.15/22.45
% 147.15/22.45 [2165] BETA_OR : (distinct_lines(N27_49_3, N27_49_3) | distinct_lines(N27_49_3, N27_49_3))
% 147.15/22.45 -> [2167] distinct_lines(N27_49_3, N27_49_3)
% 147.15/22.45 -> [2168] distinct_lines(N27_49_3, N27_49_3)
% 147.15/22.45
% 147.15/22.45 [2167] CLOSURE : distinct_lines(N27_49_3, N27_49_3)
% 147.15/22.45
% 147.15/22.45 [2168] CLOSURE : distinct_lines(N27_49_3, N27_49_3)
% 147.15/22.45
% 147.15/22.45 [2164] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.45 -> [2241] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [2241] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.45 -> [2320] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [2320] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.45 -> [2321] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45 -> [2322] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [2321] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [2322] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.45 -> [4051] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45 -> [4052] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [4051] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [4052] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.45 -> [4786] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.45
% 147.15/22.45 [4786] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.45 -> [4787] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [4788] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [4787] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [4846] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [4847] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [4847] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [4846] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [4788] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [8728] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [8729] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [8728] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [8739] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [8739] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [8729] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [8731] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [8731] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [8926] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [8926] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [8928] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.45 -> [8929] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [8929] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [8931] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45 -> [8932] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [8931] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [8932] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [9071] ((unequally_directed_lines(skolem_N7979, M38_297_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_297_8))) => (left_convergent_lines(skolem_N7979, M38_297_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_297_8))))
% 147.15/22.45
% 147.15/22.45 [9071] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_297_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_297_8))) => (left_convergent_lines(skolem_N7979, M38_297_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_297_8))))
% 147.15/22.45 -> [9072] ~(unequally_directed_lines(skolem_N7979, M38_297_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_297_8)))
% 147.15/22.45 -> [9073] (left_convergent_lines(skolem_N7979, M38_297_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_297_8)))
% 147.15/22.45
% 147.15/22.45 [9073] BETA_OR : (left_convergent_lines(skolem_N7979, M38_297_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_297_8)))
% 147.15/22.45 -> [9074] left_convergent_lines(skolem_N7979, M38_297_8)
% 147.15/22.45 -> [9075] left_convergent_lines(skolem_N7979, reverse_line(M38_297_8))
% 147.15/22.45
% 147.15/22.45 [9075] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [9262] ~(left_apart_point(A39_584_9, L40_584_9) | left_apart_point(A39_584_9, reverse_line(L40_584_9)))
% 147.15/22.45
% 147.15/22.45 [9262] ALPHA_NOT_OR : ~(left_apart_point(A39_584_9, L40_584_9) | left_apart_point(A39_584_9, reverse_line(L40_584_9)))
% 147.15/22.45 -> [9265] ~left_apart_point(A39_584_9, L40_584_9), ~left_apart_point(A39_584_9, reverse_line(L40_584_9))
% 147.15/22.45
% 147.15/22.45 [9265] CLOSURE : ~left_apart_point(A39_584_9, L40_584_9)
% 147.15/22.45
% 147.15/22.45 [9074] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [9287] ~(left_apart_point(A39_591_9, L40_591_9) | left_apart_point(A39_591_9, reverse_line(L40_591_9)))
% 147.15/22.45
% 147.15/22.45 [9287] ALPHA_NOT_OR : ~(left_apart_point(A39_591_9, L40_591_9) | left_apart_point(A39_591_9, reverse_line(L40_591_9)))
% 147.15/22.45 -> [9292] ~left_apart_point(A39_591_9, L40_591_9), ~left_apart_point(A39_591_9, reverse_line(L40_591_9))
% 147.15/22.45
% 147.15/22.45 [9292] CLOSURE : ~left_apart_point(A39_591_9, L40_591_9)
% 147.15/22.45
% 147.15/22.45 [9072] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_297_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_297_8)))
% 147.15/22.45 -> [9120] ~unequally_directed_lines(skolem_N7979, M38_297_8)
% 147.15/22.45 -> [9121] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_297_8))
% 147.15/22.45
% 147.15/22.45 [9121] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_297_8))
% 147.15/22.45
% 147.15/22.45 [9120] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_297_8)
% 147.15/22.45
% 147.15/22.45 [8928] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.45 -> [8973] ~line(skolem_M7878)
% 147.15/22.45 -> [8974] ~line(skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [8974] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [9059] ((unequally_directed_lines(skolem_N7979, M38_296_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_296_8))) => (left_convergent_lines(skolem_N7979, M38_296_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_296_8))))
% 147.15/22.45
% 147.15/22.45 [9059] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_296_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_296_8))) => (left_convergent_lines(skolem_N7979, M38_296_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_296_8))))
% 147.15/22.45 -> [9060] ~(unequally_directed_lines(skolem_N7979, M38_296_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_296_8)))
% 147.15/22.45 -> [9061] (left_convergent_lines(skolem_N7979, M38_296_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_296_8)))
% 147.15/22.45
% 147.15/22.45 [9060] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_296_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_296_8)))
% 147.15/22.45 -> [9108] ~unequally_directed_lines(skolem_N7979, M38_296_8)
% 147.15/22.45 -> [9109] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_296_8))
% 147.15/22.45
% 147.15/22.45 [9109] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_296_8))
% 147.15/22.45
% 147.15/22.45 [9108] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_296_8)
% 147.15/22.45
% 147.15/22.45 [9061] BETA_OR : (left_convergent_lines(skolem_N7979, M38_296_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_296_8)))
% 147.15/22.45 -> [9066] left_convergent_lines(skolem_N7979, M38_296_8)
% 147.15/22.45 -> [9067] left_convergent_lines(skolem_N7979, reverse_line(M38_296_8))
% 147.15/22.45
% 147.15/22.45 [9066] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [9279] ~(left_apart_point(A39_589_9, L40_589_9) | left_apart_point(A39_589_9, reverse_line(L40_589_9)))
% 147.15/22.45
% 147.15/22.45 [9279] ALPHA_NOT_OR : ~(left_apart_point(A39_589_9, L40_589_9) | left_apart_point(A39_589_9, reverse_line(L40_589_9)))
% 147.15/22.45 -> [9282] ~left_apart_point(A39_589_9, L40_589_9), ~left_apart_point(A39_589_9, reverse_line(L40_589_9))
% 147.15/22.45
% 147.15/22.45 [9282] CLOSURE : ~left_apart_point(A39_589_9, L40_589_9)
% 147.15/22.45
% 147.15/22.45 [9067] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [9258] ~(left_apart_point(A39_582_9, L40_582_9) | left_apart_point(A39_582_9, reverse_line(L40_582_9)))
% 147.15/22.45
% 147.15/22.45 [9258] ALPHA_NOT_OR : ~(left_apart_point(A39_582_9, L40_582_9) | left_apart_point(A39_582_9, reverse_line(L40_582_9)))
% 147.15/22.45 -> [9260] ~left_apart_point(A39_582_9, L40_582_9), ~left_apart_point(A39_582_9, reverse_line(L40_582_9))
% 147.15/22.45
% 147.15/22.45 [9260] CLOSURE : ~left_apart_point(A39_582_9, L40_582_9)
% 147.15/22.45
% 147.15/22.45 [8973] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [9091] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [9091] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [9093] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [9094] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [9094] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [9101] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [9102] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [9102] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [9272] ~(left_apart_point(A39_587_9, L40_587_9) | left_apart_point(A39_587_9, reverse_line(L40_587_9)))
% 147.15/22.45
% 147.15/22.45 [9272] ALPHA_NOT_OR : ~(left_apart_point(A39_587_9, L40_587_9) | left_apart_point(A39_587_9, reverse_line(L40_587_9)))
% 147.15/22.45 -> [9275] ~left_apart_point(A39_587_9, L40_587_9), ~left_apart_point(A39_587_9, reverse_line(L40_587_9))
% 147.15/22.45
% 147.15/22.45 [9275] CLOSURE : ~left_apart_point(A39_587_9, L40_587_9)
% 147.15/22.45
% 147.15/22.45 [9101] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [9299] ~(left_apart_point(A39_593_9, L40_593_9) | left_apart_point(A39_593_9, reverse_line(L40_593_9)))
% 147.15/22.45
% 147.15/22.45 [9299] ALPHA_NOT_OR : ~(left_apart_point(A39_593_9, L40_593_9) | left_apart_point(A39_593_9, reverse_line(L40_593_9)))
% 147.15/22.45 -> [9303] ~left_apart_point(A39_593_9, L40_593_9), ~left_apart_point(A39_593_9, reverse_line(L40_593_9))
% 147.15/22.45
% 147.15/22.45 [9303] CLOSURE : ~left_apart_point(A39_593_9, L40_593_9)
% 147.15/22.45
% 147.15/22.45 [9093] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [9155] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [9156] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [9156] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [9155] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [660] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.45 -> [665] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [665] BETA_NOT_AND : ~(distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181) & ~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))))
% 147.15/22.45 -> [669] ~distinct_points(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_B8181)
% 147.15/22.45 -> [670] ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [669] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.45 -> [753] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.45 -> [754] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [753] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.45 -> [1154] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [1154] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.45 -> [1186] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45
% 147.15/22.45 [1186] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45 -> [1187] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [1188] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45
% 147.15/22.45 [1187] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [1188] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45 -> [3081] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [3082] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [3082] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [3081] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.45 -> [3364] ~distinct_lines(N27_110_3, N27_110_3)
% 147.15/22.45
% 147.15/22.45 [3364] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.45 -> [3426] (distinct_lines(N27_110_3, N27_110_3) => (distinct_lines(N27_110_3, N27_110_3) | distinct_lines(N27_110_3, N27_110_3)))
% 147.15/22.45
% 147.15/22.45 [3426] BETA_IMPLY : (distinct_lines(N27_110_3, N27_110_3) => (distinct_lines(N27_110_3, N27_110_3) | distinct_lines(N27_110_3, N27_110_3)))
% 147.15/22.45 -> [3431] ~distinct_lines(N27_110_3, N27_110_3)
% 147.15/22.45 -> [3432] (distinct_lines(N27_110_3, N27_110_3) | distinct_lines(N27_110_3, N27_110_3))
% 147.15/22.45
% 147.15/22.45 [3432] BETA_OR : (distinct_lines(N27_110_3, N27_110_3) | distinct_lines(N27_110_3, N27_110_3))
% 147.15/22.45 -> [3436] distinct_lines(N27_110_3, N27_110_3)
% 147.15/22.45 -> [3437] distinct_lines(N27_110_3, N27_110_3)
% 147.15/22.45
% 147.15/22.45 [3436] CLOSURE : distinct_lines(N27_110_3, N27_110_3)
% 147.15/22.45
% 147.15/22.45 [3437] CLOSURE : distinct_lines(N27_110_3, N27_110_3)
% 147.15/22.45
% 147.15/22.45 [3431] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.45 -> [3720] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [3720] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.45 -> [3864] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [3864] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.45 -> [3867] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45 -> [3868] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [3867] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [3868] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.45 -> [5859] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45 -> [5860] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [5859] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [5860] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.45 -> [7238] ((unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) | (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))))
% 147.15/22.45
% 147.15/22.45 [7238] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))) => ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) | (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))))
% 147.15/22.45 -> [7240] ~(unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 147.15/22.45 -> [7241] ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) | (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.45
% 147.15/22.45 [7241] BETA_OR : ((unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))) | (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.45 -> [7244] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.45 -> [7245] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.45
% 147.15/22.45 [7245] ALPHA_AND : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) & unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.45 -> [7250] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)), unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.45
% 147.15/22.45 [7250] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [7279] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [7240] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_L7777) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)))
% 147.15/22.45 -> [9019] ~unequally_directed_lines(skolem_L7777, skolem_L7777)
% 147.15/22.45 -> [9020] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 147.15/22.45
% 147.15/22.45 [9019] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [9152] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [9152] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [9153] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.45 -> [9154] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [9153] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.45 -> [9202] ~line(skolem_M7878)
% 147.15/22.45 -> [9203] ~line(skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [9202] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [9604] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [9604] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45 -> [9608] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [9609] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [9609] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [9614] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [9615] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [9615] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [9683] ~(left_apart_point(A39_643_9, L40_643_9) | left_apart_point(A39_643_9, reverse_line(L40_643_9)))
% 147.15/22.45
% 147.15/22.45 [9683] ALPHA_NOT_OR : ~(left_apart_point(A39_643_9, L40_643_9) | left_apart_point(A39_643_9, reverse_line(L40_643_9)))
% 147.15/22.45 -> [9686] ~left_apart_point(A39_643_9, L40_643_9), ~left_apart_point(A39_643_9, reverse_line(L40_643_9))
% 147.15/22.45
% 147.15/22.45 [9686] CLOSURE : ~left_apart_point(A39_643_9, L40_643_9)
% 147.15/22.45
% 147.15/22.45 [9614] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [9703] ~(left_apart_point(A39_647_9, L40_647_9) | left_apart_point(A39_647_9, reverse_line(L40_647_9)))
% 147.15/22.45
% 147.15/22.45 [9703] ALPHA_NOT_OR : ~(left_apart_point(A39_647_9, L40_647_9) | left_apart_point(A39_647_9, reverse_line(L40_647_9)))
% 147.15/22.45 -> [9704] ~left_apart_point(A39_647_9, L40_647_9), ~left_apart_point(A39_647_9, reverse_line(L40_647_9))
% 147.15/22.45
% 147.15/22.45 [9704] CLOSURE : ~left_apart_point(A39_647_9, L40_647_9)
% 147.15/22.45
% 147.15/22.45 [9608] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [9642] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [9643] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [9642] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [9643] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [9203] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [10367] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [10367] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45 -> [10368] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [10369] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [10368] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [10382] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [10383] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [10383] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [10382] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [10369] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [10377] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [10378] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [10378] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [10397] ~(left_apart_point(A39_736_9, L40_736_9) | left_apart_point(A39_736_9, reverse_line(L40_736_9)))
% 147.15/22.45
% 147.15/22.45 [10397] ALPHA_NOT_OR : ~(left_apart_point(A39_736_9, L40_736_9) | left_apart_point(A39_736_9, reverse_line(L40_736_9)))
% 147.15/22.45 -> [10401] ~left_apart_point(A39_736_9, L40_736_9), ~left_apart_point(A39_736_9, reverse_line(L40_736_9))
% 147.15/22.45
% 147.15/22.45 [10401] CLOSURE : ~left_apart_point(A39_736_9, L40_736_9)
% 147.15/22.45
% 147.15/22.45 [10377] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [10416] ~(left_apart_point(A39_740_9, L40_740_9) | left_apart_point(A39_740_9, reverse_line(L40_740_9)))
% 147.15/22.45
% 147.15/22.45 [10416] ALPHA_NOT_OR : ~(left_apart_point(A39_740_9, L40_740_9) | left_apart_point(A39_740_9, reverse_line(L40_740_9)))
% 147.15/22.45 -> [10417] ~left_apart_point(A39_740_9, L40_740_9), ~left_apart_point(A39_740_9, reverse_line(L40_740_9))
% 147.15/22.45
% 147.15/22.45 [10417] CLOSURE : ~left_apart_point(A39_740_9, L40_740_9)
% 147.15/22.45
% 147.15/22.45 [9154] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [9158] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45 -> [9159] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [9158] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [9159] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [9344] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [9344] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45 -> [9345] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [9346] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [9345] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [10387] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [10388] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [10388] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [10387] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [9346] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [10435] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [10436] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [10435] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [10680] ~(left_apart_point(A39_775_9, L40_775_9) | left_apart_point(A39_775_9, reverse_line(L40_775_9)))
% 147.15/22.45
% 147.15/22.45 [10680] ALPHA_NOT_OR : ~(left_apart_point(A39_775_9, L40_775_9) | left_apart_point(A39_775_9, reverse_line(L40_775_9)))
% 147.15/22.45 -> [10683] ~left_apart_point(A39_775_9, L40_775_9), ~left_apart_point(A39_775_9, reverse_line(L40_775_9))
% 147.15/22.45
% 147.15/22.45 [10683] CLOSURE : ~left_apart_point(A39_775_9, L40_775_9)
% 147.15/22.45
% 147.15/22.45 [10436] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [10686] ~(left_apart_point(A39_777_9, L40_777_9) | left_apart_point(A39_777_9, reverse_line(L40_777_9)))
% 147.15/22.45
% 147.15/22.45 [10686] ALPHA_NOT_OR : ~(left_apart_point(A39_777_9, L40_777_9) | left_apart_point(A39_777_9, reverse_line(L40_777_9)))
% 147.15/22.45 -> [10688] ~left_apart_point(A39_777_9, L40_777_9), ~left_apart_point(A39_777_9, reverse_line(L40_777_9))
% 147.15/22.45
% 147.15/22.45 [10688] CLOSURE : ~left_apart_point(A39_777_9, L40_777_9)
% 147.15/22.45
% 147.15/22.45 [9020] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [9165] ((line(skolem_L7777) & line(reverse_line(skolem_L7777))) => (unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)) | unequally_directed_lines(skolem_L7777, reverse_line(reverse_line(skolem_L7777)))))
% 147.15/22.45
% 147.15/22.45 [9165] BETA_IMPLY : ((line(skolem_L7777) & line(reverse_line(skolem_L7777))) => (unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)) | unequally_directed_lines(skolem_L7777, reverse_line(reverse_line(skolem_L7777)))))
% 147.15/22.45 -> [9167] ~(line(skolem_L7777) & line(reverse_line(skolem_L7777)))
% 147.15/22.45 -> [9168] (unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)) | unequally_directed_lines(skolem_L7777, reverse_line(reverse_line(skolem_L7777))))
% 147.15/22.45
% 147.15/22.45 [9167] BETA_NOT_AND : ~(line(skolem_L7777) & line(reverse_line(skolem_L7777)))
% 147.15/22.45 -> [9218] ~line(skolem_L7777)
% 147.15/22.45 -> [9219] ~line(reverse_line(skolem_L7777))
% 147.15/22.45
% 147.15/22.45 [9218] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [9496] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [9496] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45 -> [9500] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [9501] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [9501] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [9507] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [9508] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [9508] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [9629] ~(left_apart_point(A39_633_9, L40_633_9) | left_apart_point(A39_633_9, reverse_line(L40_633_9)))
% 147.15/22.45
% 147.15/22.45 [9629] ALPHA_NOT_OR : ~(left_apart_point(A39_633_9, L40_633_9) | left_apart_point(A39_633_9, reverse_line(L40_633_9)))
% 147.15/22.45 -> [9630] ~left_apart_point(A39_633_9, L40_633_9), ~left_apart_point(A39_633_9, reverse_line(L40_633_9))
% 147.15/22.45
% 147.15/22.45 [9630] CLOSURE : ~left_apart_point(A39_633_9, L40_633_9)
% 147.15/22.45
% 147.15/22.45 [9507] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [9657] ~(left_apart_point(A39_640_9, L40_640_9) | left_apart_point(A39_640_9, reverse_line(L40_640_9)))
% 147.15/22.45
% 147.15/22.45 [9657] ALPHA_NOT_OR : ~(left_apart_point(A39_640_9, L40_640_9) | left_apart_point(A39_640_9, reverse_line(L40_640_9)))
% 147.15/22.45 -> [9659] ~left_apart_point(A39_640_9, L40_640_9), ~left_apart_point(A39_640_9, reverse_line(L40_640_9))
% 147.15/22.45
% 147.15/22.45 [9659] CLOSURE : ~left_apart_point(A39_640_9, L40_640_9)
% 147.15/22.45
% 147.15/22.45 [9500] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [9537] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [9538] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [9538] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [9537] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [9219] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [9331] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [9331] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [9332] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [9333] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [9332] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [9584] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [9585] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [9585] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [9584] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [9333] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [9338] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [9339] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [9339] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [9776] ~(left_apart_point(A39_660_9, L40_660_9) | left_apart_point(A39_660_9, reverse_line(L40_660_9)))
% 147.15/22.45
% 147.15/22.45 [9776] ALPHA_NOT_OR : ~(left_apart_point(A39_660_9, L40_660_9) | left_apart_point(A39_660_9, reverse_line(L40_660_9)))
% 147.15/22.45 -> [9777] ~left_apart_point(A39_660_9, L40_660_9), ~left_apart_point(A39_660_9, reverse_line(L40_660_9))
% 147.15/22.45
% 147.15/22.45 [9777] CLOSURE : ~left_apart_point(A39_660_9, L40_660_9)
% 147.15/22.45
% 147.15/22.45 [9338] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [10460] ~(left_apart_point(A39_747_9, L40_747_9) | left_apart_point(A39_747_9, reverse_line(L40_747_9)))
% 147.15/22.45
% 147.15/22.45 [10460] ALPHA_NOT_OR : ~(left_apart_point(A39_747_9, L40_747_9) | left_apart_point(A39_747_9, reverse_line(L40_747_9)))
% 147.15/22.45 -> [10461] ~left_apart_point(A39_747_9, L40_747_9), ~left_apart_point(A39_747_9, reverse_line(L40_747_9))
% 147.15/22.45
% 147.15/22.45 [10461] CLOSURE : ~left_apart_point(A39_747_9, L40_747_9)
% 147.15/22.45
% 147.15/22.45 [9168] BETA_OR : (unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777)) | unequally_directed_lines(skolem_L7777, reverse_line(reverse_line(skolem_L7777))))
% 147.15/22.45 -> [9174] unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 147.15/22.45 -> [9175] unequally_directed_lines(skolem_L7777, reverse_line(reverse_line(skolem_L7777)))
% 147.15/22.45
% 147.15/22.45 [9174] CLOSURE : unequally_directed_lines(skolem_L7777, reverse_line(skolem_L7777))
% 147.15/22.45
% 147.15/22.45 [9175] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [11615] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [11615] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45 -> [12083] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [12084] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [12084] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [12087] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [12088] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [12088] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12100] ~(left_apart_point(A39_954_9, L40_954_9) | left_apart_point(A39_954_9, reverse_line(L40_954_9)))
% 147.15/22.45
% 147.15/22.45 [12100] ALPHA_NOT_OR : ~(left_apart_point(A39_954_9, L40_954_9) | left_apart_point(A39_954_9, reverse_line(L40_954_9)))
% 147.15/22.45 -> [12102] ~left_apart_point(A39_954_9, L40_954_9), ~left_apart_point(A39_954_9, reverse_line(L40_954_9))
% 147.15/22.45
% 147.15/22.45 [12102] CLOSURE : ~left_apart_point(A39_954_9, L40_954_9)
% 147.15/22.45
% 147.15/22.45 [12087] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12124] ~(left_apart_point(A39_960_9, L40_960_9) | left_apart_point(A39_960_9, reverse_line(L40_960_9)))
% 147.15/22.45
% 147.15/22.45 [12124] ALPHA_NOT_OR : ~(left_apart_point(A39_960_9, L40_960_9) | left_apart_point(A39_960_9, reverse_line(L40_960_9)))
% 147.15/22.45 -> [12126] ~left_apart_point(A39_960_9, L40_960_9), ~left_apart_point(A39_960_9, reverse_line(L40_960_9))
% 147.15/22.45
% 147.15/22.45 [12126] CLOSURE : ~left_apart_point(A39_960_9, L40_960_9)
% 147.15/22.45
% 147.15/22.45 [12083] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [12093] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [12094] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [12094] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [12093] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [754] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.45 -> [1360] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [1360] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.45 -> [1422] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45
% 147.15/22.45 [1422] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45 -> [1423] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [1424] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45
% 147.15/22.45 [1423] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [1424] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45 -> [2139] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [2140] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [2140] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [2139] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.45 -> [3171] ~distinct_lines(N27_105_3, N27_105_3)
% 147.15/22.45
% 147.15/22.45 [3171] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.45 -> [3258] (distinct_lines(N27_105_3, N27_105_3) => (distinct_lines(N27_105_3, N27_105_3) | distinct_lines(N27_105_3, N27_105_3)))
% 147.15/22.45
% 147.15/22.45 [3258] BETA_IMPLY : (distinct_lines(N27_105_3, N27_105_3) => (distinct_lines(N27_105_3, N27_105_3) | distinct_lines(N27_105_3, N27_105_3)))
% 147.15/22.45 -> [3259] ~distinct_lines(N27_105_3, N27_105_3)
% 147.15/22.45 -> [3260] (distinct_lines(N27_105_3, N27_105_3) | distinct_lines(N27_105_3, N27_105_3))
% 147.15/22.45
% 147.15/22.45 [3260] BETA_OR : (distinct_lines(N27_105_3, N27_105_3) | distinct_lines(N27_105_3, N27_105_3))
% 147.15/22.45 -> [3263] distinct_lines(N27_105_3, N27_105_3)
% 147.15/22.45 -> [3264] distinct_lines(N27_105_3, N27_105_3)
% 147.15/22.45
% 147.15/22.45 [3263] CLOSURE : distinct_lines(N27_105_3, N27_105_3)
% 147.15/22.45
% 147.15/22.45 [3264] CLOSURE : distinct_lines(N27_105_3, N27_105_3)
% 147.15/22.45
% 147.15/22.45 [3259] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.45 -> [3477] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [3477] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.45 -> [3621] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [3621] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.45 -> [3624] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45 -> [3625] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [3624] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [3625] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.45 -> [4993] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45 -> [4994] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [4994] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [4993] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.45 -> [5930] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_81_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_81_6))) | (unequally_directed_lines(skolem_N7979, N34_81_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_81_6)))))
% 147.15/22.45
% 147.15/22.45 [5930] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_81_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_81_6))) | (unequally_directed_lines(skolem_N7979, N34_81_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_81_6)))))
% 147.15/22.45 -> [5934] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [5935] ((unequally_directed_lines(skolem_M7878, N34_81_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_81_6))) | (unequally_directed_lines(skolem_N7979, N34_81_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_81_6))))
% 147.15/22.45
% 147.15/22.45 [5934] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [6040] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [6041] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [6041] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [6040] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [5935] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_81_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_81_6))) | (unequally_directed_lines(skolem_N7979, N34_81_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_81_6))))
% 147.15/22.45 -> [11810] (unequally_directed_lines(skolem_M7878, N34_81_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_81_6)))
% 147.15/22.45 -> [11811] (unequally_directed_lines(skolem_N7979, N34_81_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_81_6)))
% 147.15/22.45
% 147.15/22.45 [11810] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_81_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_81_6)))
% 147.15/22.45 -> [11831] unequally_directed_lines(skolem_M7878, N34_81_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_81_6))
% 147.15/22.45
% 147.15/22.45 [11831] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [11870] ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.15/22.45
% 147.15/22.45 [11870] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))))
% 147.15/22.45 -> [11872] ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.45 -> [11873] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.45
% 147.15/22.45 [11873] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080))))
% 147.15/22.45 -> [11878] unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.45 -> [11879] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.45
% 147.15/22.45 [11878] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.45
% 147.15/22.45 [11879] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [12370] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [12370] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [12371] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12372] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [12371] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12380] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [12381] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12381] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12380] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [12372] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12374] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [12375] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12374] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12395] ~(left_apart_point(A39_1006_9, L40_1006_9) | left_apart_point(A39_1006_9, reverse_line(L40_1006_9)))
% 147.15/22.45
% 147.15/22.45 [12395] ALPHA_NOT_OR : ~(left_apart_point(A39_1006_9, L40_1006_9) | left_apart_point(A39_1006_9, reverse_line(L40_1006_9)))
% 147.15/22.45 -> [12396] ~left_apart_point(A39_1006_9, L40_1006_9), ~left_apart_point(A39_1006_9, reverse_line(L40_1006_9))
% 147.15/22.45
% 147.15/22.45 [12396] CLOSURE : ~left_apart_point(A39_1006_9, L40_1006_9)
% 147.15/22.45
% 147.15/22.45 [12375] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12397] ~(left_apart_point(A39_1007_9, L40_1007_9) | left_apart_point(A39_1007_9, reverse_line(L40_1007_9)))
% 147.15/22.45
% 147.15/22.45 [12397] ALPHA_NOT_OR : ~(left_apart_point(A39_1007_9, L40_1007_9) | left_apart_point(A39_1007_9, reverse_line(L40_1007_9)))
% 147.15/22.45 -> [12398] ~left_apart_point(A39_1007_9, L40_1007_9), ~left_apart_point(A39_1007_9, reverse_line(L40_1007_9))
% 147.15/22.45
% 147.15/22.45 [12398] CLOSURE : ~left_apart_point(A39_1007_9, L40_1007_9)
% 147.15/22.45
% 147.15/22.45 [11872] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_B8181, skolem_A8080)))
% 147.15/22.45 -> [11898] ~line(skolem_L7777)
% 147.15/22.45 -> [11899] ~line(line_connecting(skolem_B8181, skolem_A8080))
% 147.15/22.45
% 147.15/22.45 [11898] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [12431] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [12431] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [12434] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12435] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [12435] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12439] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [12440] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12440] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12464] ~(left_apart_point(A39_1018_9, L40_1018_9) | left_apart_point(A39_1018_9, reverse_line(L40_1018_9)))
% 147.15/22.45
% 147.15/22.45 [12464] ALPHA_NOT_OR : ~(left_apart_point(A39_1018_9, L40_1018_9) | left_apart_point(A39_1018_9, reverse_line(L40_1018_9)))
% 147.15/22.45 -> [12467] ~left_apart_point(A39_1018_9, L40_1018_9), ~left_apart_point(A39_1018_9, reverse_line(L40_1018_9))
% 147.15/22.45
% 147.15/22.45 [12467] CLOSURE : ~left_apart_point(A39_1018_9, L40_1018_9)
% 147.15/22.45
% 147.15/22.45 [12439] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12466] ~(left_apart_point(A39_1020_9, L40_1020_9) | left_apart_point(A39_1020_9, reverse_line(L40_1020_9)))
% 147.15/22.45
% 147.15/22.45 [12466] ALPHA_NOT_OR : ~(left_apart_point(A39_1020_9, L40_1020_9) | left_apart_point(A39_1020_9, reverse_line(L40_1020_9)))
% 147.15/22.45 -> [12468] ~left_apart_point(A39_1020_9, L40_1020_9), ~left_apart_point(A39_1020_9, reverse_line(L40_1020_9))
% 147.15/22.45
% 147.15/22.45 [12468] CLOSURE : ~left_apart_point(A39_1020_9, L40_1020_9)
% 147.15/22.45
% 147.15/22.45 [12434] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12453] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [12454] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12454] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12453] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [11899] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [12212] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [12212] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [12213] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12214] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [12213] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12449] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [12450] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12450] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12449] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [12214] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12215] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [12216] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12216] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12498] ~(left_apart_point(A39_1028_9, L40_1028_9) | left_apart_point(A39_1028_9, reverse_line(L40_1028_9)))
% 147.15/22.45
% 147.15/22.45 [12498] ALPHA_NOT_OR : ~(left_apart_point(A39_1028_9, L40_1028_9) | left_apart_point(A39_1028_9, reverse_line(L40_1028_9)))
% 147.15/22.45 -> [12499] ~left_apart_point(A39_1028_9, L40_1028_9), ~left_apart_point(A39_1028_9, reverse_line(L40_1028_9))
% 147.15/22.45
% 147.15/22.45 [12499] CLOSURE : ~left_apart_point(A39_1028_9, L40_1028_9)
% 147.15/22.45
% 147.15/22.45 [12215] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12508] ~(left_apart_point(A39_1030_9, L40_1030_9) | left_apart_point(A39_1030_9, reverse_line(L40_1030_9)))
% 147.15/22.45
% 147.15/22.45 [12508] ALPHA_NOT_OR : ~(left_apart_point(A39_1030_9, L40_1030_9) | left_apart_point(A39_1030_9, reverse_line(L40_1030_9)))
% 147.15/22.45 -> [12509] ~left_apart_point(A39_1030_9, L40_1030_9), ~left_apart_point(A39_1030_9, reverse_line(L40_1030_9))
% 147.15/22.45
% 147.15/22.45 [12509] CLOSURE : ~left_apart_point(A39_1030_9, L40_1030_9)
% 147.15/22.45
% 147.15/22.45 [11811] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_81_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_81_6)))
% 147.15/22.45 -> [11820] unequally_directed_lines(skolem_N7979, N34_81_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_81_6))
% 147.15/22.45
% 147.15/22.45 [11820] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [11887] ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.45
% 147.15/22.45 [11887] BETA_IMPLY : ((line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181))) => (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))))
% 147.15/22.45 -> [11888] ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.45 -> [11889] (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.45
% 147.15/22.45 [11888] BETA_NOT_AND : ~(line(skolem_L7777) & line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.45 -> [11908] ~line(skolem_L7777)
% 147.15/22.45 -> [11909] ~line(line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [11908] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [12225] ((unequally_directed_lines(skolem_N7979, M38_505_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_505_8))) => (left_convergent_lines(skolem_N7979, M38_505_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_505_8))))
% 147.15/22.45
% 147.15/22.45 [12225] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_505_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_505_8))) => (left_convergent_lines(skolem_N7979, M38_505_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_505_8))))
% 147.15/22.45 -> [12227] ~(unequally_directed_lines(skolem_N7979, M38_505_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_505_8)))
% 147.15/22.45 -> [12228] (left_convergent_lines(skolem_N7979, M38_505_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_505_8)))
% 147.15/22.45
% 147.15/22.45 [12228] BETA_OR : (left_convergent_lines(skolem_N7979, M38_505_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_505_8)))
% 147.15/22.45 -> [12244] left_convergent_lines(skolem_N7979, M38_505_8)
% 147.15/22.45 -> [12245] left_convergent_lines(skolem_N7979, reverse_line(M38_505_8))
% 147.15/22.45
% 147.15/22.45 [12245] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12255] ~(left_apart_point(A39_990_9, L40_990_9) | left_apart_point(A39_990_9, reverse_line(L40_990_9)))
% 147.15/22.45
% 147.15/22.45 [12255] ALPHA_NOT_OR : ~(left_apart_point(A39_990_9, L40_990_9) | left_apart_point(A39_990_9, reverse_line(L40_990_9)))
% 147.15/22.45 -> [12256] ~left_apart_point(A39_990_9, L40_990_9), ~left_apart_point(A39_990_9, reverse_line(L40_990_9))
% 147.15/22.45
% 147.15/22.45 [12256] CLOSURE : ~left_apart_point(A39_990_9, L40_990_9)
% 147.15/22.45
% 147.15/22.45 [12244] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12257] ~(left_apart_point(A39_991_9, L40_991_9) | left_apart_point(A39_991_9, reverse_line(L40_991_9)))
% 147.15/22.45
% 147.15/22.45 [12257] ALPHA_NOT_OR : ~(left_apart_point(A39_991_9, L40_991_9) | left_apart_point(A39_991_9, reverse_line(L40_991_9)))
% 147.15/22.45 -> [12258] ~left_apart_point(A39_991_9, L40_991_9), ~left_apart_point(A39_991_9, reverse_line(L40_991_9))
% 147.15/22.45
% 147.15/22.45 [12258] CLOSURE : ~left_apart_point(A39_991_9, L40_991_9)
% 147.15/22.45
% 147.15/22.45 [12227] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_505_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_505_8)))
% 147.15/22.45 -> [12242] ~unequally_directed_lines(skolem_N7979, M38_505_8)
% 147.15/22.45 -> [12243] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_505_8))
% 147.15/22.45
% 147.15/22.45 [12243] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_505_8))
% 147.15/22.45
% 147.15/22.45 [12242] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_505_8)
% 147.15/22.45
% 147.15/22.45 [11909] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [11969] ((unequally_directed_lines(skolem_N7979, M38_493_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_493_8))) => (left_convergent_lines(skolem_N7979, M38_493_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_493_8))))
% 147.15/22.45
% 147.15/22.45 [11969] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_493_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_493_8))) => (left_convergent_lines(skolem_N7979, M38_493_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_493_8))))
% 147.15/22.45 -> [11975] ~(unequally_directed_lines(skolem_N7979, M38_493_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_493_8)))
% 147.15/22.45 -> [11976] (left_convergent_lines(skolem_N7979, M38_493_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_493_8)))
% 147.15/22.45
% 147.15/22.45 [11975] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_493_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_493_8)))
% 147.15/22.45 -> [12022] ~unequally_directed_lines(skolem_N7979, M38_493_8)
% 147.15/22.45 -> [12023] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_493_8))
% 147.15/22.45
% 147.15/22.45 [12022] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_493_8)
% 147.15/22.45
% 147.15/22.45 [12023] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_493_8))
% 147.15/22.45
% 147.15/22.45 [11976] BETA_OR : (left_convergent_lines(skolem_N7979, M38_493_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_493_8)))
% 147.15/22.45 -> [12232] left_convergent_lines(skolem_N7979, M38_493_8)
% 147.15/22.45 -> [12233] left_convergent_lines(skolem_N7979, reverse_line(M38_493_8))
% 147.15/22.45
% 147.15/22.45 [12233] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12265] ~(left_apart_point(A39_993_9, L40_993_9) | left_apart_point(A39_993_9, reverse_line(L40_993_9)))
% 147.15/22.45
% 147.15/22.45 [12265] ALPHA_NOT_OR : ~(left_apart_point(A39_993_9, L40_993_9) | left_apart_point(A39_993_9, reverse_line(L40_993_9)))
% 147.15/22.45 -> [12266] ~left_apart_point(A39_993_9, L40_993_9), ~left_apart_point(A39_993_9, reverse_line(L40_993_9))
% 147.15/22.45
% 147.15/22.45 [12266] CLOSURE : ~left_apart_point(A39_993_9, L40_993_9)
% 147.15/22.45
% 147.15/22.45 [12232] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12273] ~(left_apart_point(A39_995_9, L40_995_9) | left_apart_point(A39_995_9, reverse_line(L40_995_9)))
% 147.15/22.45
% 147.15/22.45 [12273] ALPHA_NOT_OR : ~(left_apart_point(A39_995_9, L40_995_9) | left_apart_point(A39_995_9, reverse_line(L40_995_9)))
% 147.15/22.45 -> [12275] ~left_apart_point(A39_995_9, L40_995_9), ~left_apart_point(A39_995_9, reverse_line(L40_995_9))
% 147.15/22.45
% 147.15/22.45 [12275] CLOSURE : ~left_apart_point(A39_995_9, L40_995_9)
% 147.15/22.45
% 147.15/22.45 [11889] BETA_OR : (unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181)) | unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181))))
% 147.15/22.45 -> [11895] unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.45 -> [11896] unequally_directed_lines(skolem_L7777, reverse_line(line_connecting(skolem_C8282, skolem_B8181)))
% 147.15/22.45
% 147.15/22.45 [11895] CLOSURE : unequally_directed_lines(skolem_L7777, line_connecting(skolem_C8282, skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [11896] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [12470] ((unequally_directed_lines(skolem_N7979, M38_521_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_521_8))) => (left_convergent_lines(skolem_N7979, M38_521_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_521_8))))
% 147.15/22.45
% 147.15/22.45 [12470] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_521_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_521_8))) => (left_convergent_lines(skolem_N7979, M38_521_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_521_8))))
% 147.15/22.45 -> [12473] ~(unequally_directed_lines(skolem_N7979, M38_521_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_521_8)))
% 147.15/22.45 -> [12474] (left_convergent_lines(skolem_N7979, M38_521_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_521_8)))
% 147.15/22.45
% 147.15/22.45 [12474] BETA_OR : (left_convergent_lines(skolem_N7979, M38_521_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_521_8)))
% 147.15/22.45 -> [12475] left_convergent_lines(skolem_N7979, M38_521_8)
% 147.15/22.45 -> [12476] left_convergent_lines(skolem_N7979, reverse_line(M38_521_8))
% 147.15/22.45
% 147.15/22.45 [12475] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12490] ~(left_apart_point(A39_1025_9, L40_1025_9) | left_apart_point(A39_1025_9, reverse_line(L40_1025_9)))
% 147.15/22.45
% 147.15/22.45 [12490] ALPHA_NOT_OR : ~(left_apart_point(A39_1025_9, L40_1025_9) | left_apart_point(A39_1025_9, reverse_line(L40_1025_9)))
% 147.15/22.45 -> [12491] ~left_apart_point(A39_1025_9, L40_1025_9), ~left_apart_point(A39_1025_9, reverse_line(L40_1025_9))
% 147.15/22.45
% 147.15/22.45 [12491] CLOSURE : ~left_apart_point(A39_1025_9, L40_1025_9)
% 147.15/22.45
% 147.15/22.45 [12476] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12495] ~(left_apart_point(A39_1027_9, L40_1027_9) | left_apart_point(A39_1027_9, reverse_line(L40_1027_9)))
% 147.15/22.45
% 147.15/22.45 [12495] ALPHA_NOT_OR : ~(left_apart_point(A39_1027_9, L40_1027_9) | left_apart_point(A39_1027_9, reverse_line(L40_1027_9)))
% 147.15/22.45 -> [12497] ~left_apart_point(A39_1027_9, L40_1027_9), ~left_apart_point(A39_1027_9, reverse_line(L40_1027_9))
% 147.15/22.45
% 147.15/22.45 [12497] CLOSURE : ~left_apart_point(A39_1027_9, L40_1027_9)
% 147.15/22.45
% 147.15/22.45 [12473] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_521_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_521_8)))
% 147.15/22.45 -> [12481] ~unequally_directed_lines(skolem_N7979, M38_521_8)
% 147.15/22.45 -> [12482] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_521_8))
% 147.15/22.45
% 147.15/22.45 [12481] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_521_8)
% 147.15/22.45
% 147.15/22.45 [12482] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_521_8))
% 147.15/22.45
% 147.15/22.45 [670] ALPHA_NOT_NOT : ~~(left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.45 -> [675] (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [675] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878)))
% 147.15/22.45 -> [678] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), skolem_M7878)
% 147.15/22.45 -> [679] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_A8080)), reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [678] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.45 -> [748] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.45 -> [749] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [748] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.45 -> [836] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [836] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.45 -> [939] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45
% 147.15/22.45 [939] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45 -> [942] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [943] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45
% 147.15/22.45 [942] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [943] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45 -> [2099] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [2100] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [2100] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [2099] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.45 -> [2909] ~distinct_lines(N27_89_3, N27_89_3)
% 147.15/22.45
% 147.15/22.45 [2909] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.45 -> [2964] (distinct_lines(N27_89_3, N27_89_3) => (distinct_lines(N27_89_3, N27_89_3) | distinct_lines(N27_89_3, N27_89_3)))
% 147.15/22.45
% 147.15/22.45 [2964] BETA_IMPLY : (distinct_lines(N27_89_3, N27_89_3) => (distinct_lines(N27_89_3, N27_89_3) | distinct_lines(N27_89_3, N27_89_3)))
% 147.15/22.45 -> [2967] ~distinct_lines(N27_89_3, N27_89_3)
% 147.15/22.45 -> [2968] (distinct_lines(N27_89_3, N27_89_3) | distinct_lines(N27_89_3, N27_89_3))
% 147.15/22.45
% 147.15/22.45 [2968] BETA_OR : (distinct_lines(N27_89_3, N27_89_3) | distinct_lines(N27_89_3, N27_89_3))
% 147.15/22.45 -> [2974] distinct_lines(N27_89_3, N27_89_3)
% 147.15/22.45 -> [2975] distinct_lines(N27_89_3, N27_89_3)
% 147.15/22.45
% 147.15/22.45 [2974] CLOSURE : distinct_lines(N27_89_3, N27_89_3)
% 147.15/22.45
% 147.15/22.45 [2975] CLOSURE : distinct_lines(N27_89_3, N27_89_3)
% 147.15/22.45
% 147.15/22.45 [2967] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.45 -> [3085] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [3085] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.45 -> [3211] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [3211] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.45 -> [3212] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45 -> [3213] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [3212] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [3213] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.45 -> [5963] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45 -> [5964] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [5964] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [5963] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.45 -> [7278] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_97_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_97_6))) | (unequally_directed_lines(skolem_N7979, N34_97_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_97_6)))))
% 147.15/22.45
% 147.15/22.45 [7278] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_97_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_97_6))) | (unequally_directed_lines(skolem_N7979, N34_97_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_97_6)))))
% 147.15/22.45 -> [7281] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [7282] ((unequally_directed_lines(skolem_M7878, N34_97_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_97_6))) | (unequally_directed_lines(skolem_N7979, N34_97_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_97_6))))
% 147.15/22.45
% 147.15/22.45 [7281] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [7323] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [7324] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [7324] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [7323] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [7282] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_97_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_97_6))) | (unequally_directed_lines(skolem_N7979, N34_97_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_97_6))))
% 147.15/22.45 -> [10438] (unequally_directed_lines(skolem_M7878, N34_97_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_97_6)))
% 147.15/22.45 -> [10439] (unequally_directed_lines(skolem_N7979, N34_97_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_97_6)))
% 147.15/22.45
% 147.15/22.45 [10438] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_97_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_97_6)))
% 147.15/22.45 -> [10482] unequally_directed_lines(skolem_M7878, N34_97_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_97_6))
% 147.15/22.45
% 147.15/22.45 [10482] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [10708] ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.45
% 147.15/22.45 [10708] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.45 -> [10709] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.45 -> [10710] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [10709] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.45 -> [10726] ~line(reverse_line(skolem_N7979))
% 147.15/22.45 -> [10727] ~line(reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [10727] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [10900] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [10900] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [10902] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [10903] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [10902] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [10911] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [10912] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [10912] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [10911] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [10903] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [10907] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [10908] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [10908] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [10938] ~(left_apart_point(A39_807_9, L40_807_9) | left_apart_point(A39_807_9, reverse_line(L40_807_9)))
% 147.15/22.45
% 147.15/22.45 [10938] ALPHA_NOT_OR : ~(left_apart_point(A39_807_9, L40_807_9) | left_apart_point(A39_807_9, reverse_line(L40_807_9)))
% 147.15/22.45 -> [10939] ~left_apart_point(A39_807_9, L40_807_9), ~left_apart_point(A39_807_9, reverse_line(L40_807_9))
% 147.15/22.45
% 147.15/22.45 [10939] CLOSURE : ~left_apart_point(A39_807_9, L40_807_9)
% 147.15/22.45
% 147.15/22.45 [10907] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [10953] ~(left_apart_point(A39_810_9, L40_810_9) | left_apart_point(A39_810_9, reverse_line(L40_810_9)))
% 147.15/22.45
% 147.15/22.45 [10953] ALPHA_NOT_OR : ~(left_apart_point(A39_810_9, L40_810_9) | left_apart_point(A39_810_9, reverse_line(L40_810_9)))
% 147.15/22.45 -> [10954] ~left_apart_point(A39_810_9, L40_810_9), ~left_apart_point(A39_810_9, reverse_line(L40_810_9))
% 147.15/22.45
% 147.15/22.45 [10954] CLOSURE : ~left_apart_point(A39_810_9, L40_810_9)
% 147.15/22.45
% 147.15/22.45 [10726] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [11004] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [11004] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [11009] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [11010] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [11009] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [11032] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [11033] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [11033] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [11032] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [11010] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [11018] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [11019] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [11019] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [11092] ~(left_apart_point(A39_831_9, L40_831_9) | left_apart_point(A39_831_9, reverse_line(L40_831_9)))
% 147.15/22.45
% 147.15/22.45 [11092] ALPHA_NOT_OR : ~(left_apart_point(A39_831_9, L40_831_9) | left_apart_point(A39_831_9, reverse_line(L40_831_9)))
% 147.15/22.45 -> [11095] ~left_apart_point(A39_831_9, L40_831_9), ~left_apart_point(A39_831_9, reverse_line(L40_831_9))
% 147.15/22.45
% 147.15/22.45 [11095] CLOSURE : ~left_apart_point(A39_831_9, L40_831_9)
% 147.15/22.45
% 147.15/22.45 [11018] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [11102] ~(left_apart_point(A39_835_9, L40_835_9) | left_apart_point(A39_835_9, reverse_line(L40_835_9)))
% 147.15/22.45
% 147.15/22.45 [11102] ALPHA_NOT_OR : ~(left_apart_point(A39_835_9, L40_835_9) | left_apart_point(A39_835_9, reverse_line(L40_835_9)))
% 147.15/22.45 -> [11103] ~left_apart_point(A39_835_9, L40_835_9), ~left_apart_point(A39_835_9, reverse_line(L40_835_9))
% 147.15/22.45
% 147.15/22.45 [11103] CLOSURE : ~left_apart_point(A39_835_9, L40_835_9)
% 147.15/22.45
% 147.15/22.45 [10710] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.45 -> [10711] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45 -> [10712] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [10711] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [10712] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [11890] ((unequally_directed_lines(skolem_M7878, M38_485_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_485_8))) => (left_convergent_lines(skolem_M7878, M38_485_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_485_8))))
% 147.15/22.45
% 147.15/22.45 [11890] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_485_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_485_8))) => (left_convergent_lines(skolem_M7878, M38_485_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_485_8))))
% 147.15/22.45 -> [11891] ~(unequally_directed_lines(skolem_M7878, M38_485_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_485_8)))
% 147.15/22.45 -> [11892] (left_convergent_lines(skolem_M7878, M38_485_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_485_8)))
% 147.15/22.45
% 147.15/22.45 [11892] BETA_OR : (left_convergent_lines(skolem_M7878, M38_485_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_485_8)))
% 147.15/22.45 -> [12140] left_convergent_lines(skolem_M7878, M38_485_8)
% 147.15/22.45 -> [12141] left_convergent_lines(skolem_M7878, reverse_line(M38_485_8))
% 147.15/22.45
% 147.15/22.45 [12140] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12262] ~(left_apart_point(A39_992_9, L40_992_9) | left_apart_point(A39_992_9, reverse_line(L40_992_9)))
% 147.15/22.45
% 147.15/22.45 [12262] ALPHA_NOT_OR : ~(left_apart_point(A39_992_9, L40_992_9) | left_apart_point(A39_992_9, reverse_line(L40_992_9)))
% 147.15/22.45 -> [12264] ~left_apart_point(A39_992_9, L40_992_9), ~left_apart_point(A39_992_9, reverse_line(L40_992_9))
% 147.15/22.45
% 147.15/22.45 [12264] CLOSURE : ~left_apart_point(A39_992_9, L40_992_9)
% 147.15/22.45
% 147.15/22.45 [12141] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12267] ~(left_apart_point(A39_994_9, L40_994_9) | left_apart_point(A39_994_9, reverse_line(L40_994_9)))
% 147.15/22.45
% 147.15/22.45 [12267] ALPHA_NOT_OR : ~(left_apart_point(A39_994_9, L40_994_9) | left_apart_point(A39_994_9, reverse_line(L40_994_9)))
% 147.15/22.45 -> [12270] ~left_apart_point(A39_994_9, L40_994_9), ~left_apart_point(A39_994_9, reverse_line(L40_994_9))
% 147.15/22.45
% 147.15/22.45 [12270] CLOSURE : ~left_apart_point(A39_994_9, L40_994_9)
% 147.15/22.45
% 147.15/22.45 [11891] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_485_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_485_8)))
% 147.15/22.45 -> [12250] ~unequally_directed_lines(skolem_M7878, M38_485_8)
% 147.15/22.45 -> [12251] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_485_8))
% 147.15/22.45
% 147.15/22.45 [12251] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_485_8))
% 147.15/22.45
% 147.15/22.45 [12250] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_485_8)
% 147.15/22.45
% 147.15/22.45 [10439] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_97_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_97_6)))
% 147.15/22.45 -> [10442] unequally_directed_lines(skolem_N7979, N34_97_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_97_6))
% 147.15/22.45
% 147.15/22.45 [10442] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [10606] ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [10606] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(skolem_N7979)) => (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.45 -> [10608] ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.45 -> [10609] (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [10608] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(skolem_N7979))
% 147.15/22.45 -> [10662] ~line(reverse_line(skolem_N7979))
% 147.15/22.45 -> [10663] ~line(skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [10662] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [10926] ((unequally_directed_lines(skolem_N7979, M38_417_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_417_8))) => (left_convergent_lines(skolem_N7979, M38_417_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_417_8))))
% 147.15/22.45
% 147.15/22.45 [10926] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_417_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_417_8))) => (left_convergent_lines(skolem_N7979, M38_417_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_417_8))))
% 147.15/22.45 -> [10929] ~(unequally_directed_lines(skolem_N7979, M38_417_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_417_8)))
% 147.15/22.45 -> [10930] (left_convergent_lines(skolem_N7979, M38_417_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_417_8)))
% 147.15/22.45
% 147.15/22.45 [10929] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_417_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_417_8)))
% 147.15/22.45 -> [10950] ~unequally_directed_lines(skolem_N7979, M38_417_8)
% 147.15/22.45 -> [10951] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_417_8))
% 147.15/22.45
% 147.15/22.45 [10951] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_417_8))
% 147.15/22.45
% 147.15/22.45 [10950] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_417_8)
% 147.15/22.45
% 147.15/22.45 [10930] BETA_OR : (left_convergent_lines(skolem_N7979, M38_417_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_417_8)))
% 147.15/22.45 -> [10936] left_convergent_lines(skolem_N7979, M38_417_8)
% 147.15/22.45 -> [10937] left_convergent_lines(skolem_N7979, reverse_line(M38_417_8))
% 147.15/22.45
% 147.15/22.45 [10936] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [11006] ~(left_apart_point(A39_818_9, L40_818_9) | left_apart_point(A39_818_9, reverse_line(L40_818_9)))
% 147.15/22.45
% 147.15/22.45 [11006] ALPHA_NOT_OR : ~(left_apart_point(A39_818_9, L40_818_9) | left_apart_point(A39_818_9, reverse_line(L40_818_9)))
% 147.15/22.45 -> [11013] ~left_apart_point(A39_818_9, L40_818_9), ~left_apart_point(A39_818_9, reverse_line(L40_818_9))
% 147.15/22.45
% 147.15/22.45 [11013] CLOSURE : ~left_apart_point(A39_818_9, L40_818_9)
% 147.15/22.45
% 147.15/22.45 [10937] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [11017] ~(left_apart_point(A39_820_9, L40_820_9) | left_apart_point(A39_820_9, reverse_line(L40_820_9)))
% 147.15/22.45
% 147.15/22.45 [11017] ALPHA_NOT_OR : ~(left_apart_point(A39_820_9, L40_820_9) | left_apart_point(A39_820_9, reverse_line(L40_820_9)))
% 147.15/22.45 -> [11023] ~left_apart_point(A39_820_9, L40_820_9), ~left_apart_point(A39_820_9, reverse_line(L40_820_9))
% 147.15/22.45
% 147.15/22.45 [11023] CLOSURE : ~left_apart_point(A39_820_9, L40_820_9)
% 147.15/22.45
% 147.15/22.45 [10663] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [10773] ((unequally_directed_lines(skolem_N7979, M38_405_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_405_8))) => (left_convergent_lines(skolem_N7979, M38_405_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_405_8))))
% 147.15/22.45
% 147.15/22.45 [10773] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_405_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_405_8))) => (left_convergent_lines(skolem_N7979, M38_405_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_405_8))))
% 147.15/22.45 -> [10778] ~(unequally_directed_lines(skolem_N7979, M38_405_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_405_8)))
% 147.15/22.45 -> [10779] (left_convergent_lines(skolem_N7979, M38_405_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_405_8)))
% 147.15/22.45
% 147.15/22.45 [10778] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_405_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_405_8)))
% 147.15/22.45 -> [10944] ~unequally_directed_lines(skolem_N7979, M38_405_8)
% 147.15/22.45 -> [10945] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_405_8))
% 147.15/22.45
% 147.15/22.45 [10945] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_405_8))
% 147.15/22.45
% 147.15/22.45 [10944] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_405_8)
% 147.15/22.45
% 147.15/22.45 [10779] BETA_OR : (left_convergent_lines(skolem_N7979, M38_405_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_405_8)))
% 147.15/22.45 -> [10785] left_convergent_lines(skolem_N7979, M38_405_8)
% 147.15/22.45 -> [10786] left_convergent_lines(skolem_N7979, reverse_line(M38_405_8))
% 147.15/22.45
% 147.15/22.45 [10785] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [10961] ~(left_apart_point(A39_813_9, L40_813_9) | left_apart_point(A39_813_9, reverse_line(L40_813_9)))
% 147.15/22.45
% 147.15/22.45 [10961] ALPHA_NOT_OR : ~(left_apart_point(A39_813_9, L40_813_9) | left_apart_point(A39_813_9, reverse_line(L40_813_9)))
% 147.15/22.45 -> [10962] ~left_apart_point(A39_813_9, L40_813_9), ~left_apart_point(A39_813_9, reverse_line(L40_813_9))
% 147.15/22.45
% 147.15/22.45 [10962] CLOSURE : ~left_apart_point(A39_813_9, L40_813_9)
% 147.15/22.45
% 147.15/22.45 [10786] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [11363] ~(left_apart_point(A39_857_9, L40_857_9) | left_apart_point(A39_857_9, reverse_line(L40_857_9)))
% 147.15/22.45
% 147.15/22.45 [11363] ALPHA_NOT_OR : ~(left_apart_point(A39_857_9, L40_857_9) | left_apart_point(A39_857_9, reverse_line(L40_857_9)))
% 147.15/22.45 -> [11368] ~left_apart_point(A39_857_9, L40_857_9), ~left_apart_point(A39_857_9, reverse_line(L40_857_9))
% 147.15/22.45
% 147.15/22.45 [11368] CLOSURE : ~left_apart_point(A39_857_9, L40_857_9)
% 147.15/22.45
% 147.15/22.45 [10609] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.45 -> [10619] unequally_directed_lines(reverse_line(skolem_N7979), skolem_N7979)
% 147.15/22.45 -> [10620] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [10620] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [10619] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [12285] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [12285] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45 -> [12287] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [12288] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [12287] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [12294] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [12295] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [12295] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [12294] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [12288] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [12292] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [12293] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [12293] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12303] ~(left_apart_point(A39_997_9, L40_997_9) | left_apart_point(A39_997_9, reverse_line(L40_997_9)))
% 147.15/22.45
% 147.15/22.45 [12303] ALPHA_NOT_OR : ~(left_apart_point(A39_997_9, L40_997_9) | left_apart_point(A39_997_9, reverse_line(L40_997_9)))
% 147.15/22.45 -> [12308] ~left_apart_point(A39_997_9, L40_997_9), ~left_apart_point(A39_997_9, reverse_line(L40_997_9))
% 147.15/22.45
% 147.15/22.45 [12308] CLOSURE : ~left_apart_point(A39_997_9, L40_997_9)
% 147.15/22.45
% 147.15/22.45 [12292] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12313] ~(left_apart_point(A39_998_9, L40_998_9) | left_apart_point(A39_998_9, reverse_line(L40_998_9)))
% 147.15/22.45
% 147.15/22.45 [12313] ALPHA_NOT_OR : ~(left_apart_point(A39_998_9, L40_998_9) | left_apart_point(A39_998_9, reverse_line(L40_998_9)))
% 147.15/22.45 -> [12315] ~left_apart_point(A39_998_9, L40_998_9), ~left_apart_point(A39_998_9, reverse_line(L40_998_9))
% 147.15/22.45
% 147.15/22.45 [12315] CLOSURE : ~left_apart_point(A39_998_9, L40_998_9)
% 147.15/22.45
% 147.15/22.45 [749] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.45 -> [785] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [785] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.45 -> [816] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45
% 147.15/22.45 [816] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45 -> [819] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [820] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45
% 147.15/22.45 [819] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [820] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45 -> [2158] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [2159] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [2159] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [2158] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.45 -> [3194] ~distinct_lines(N27_102_3, N27_102_3)
% 147.15/22.45
% 147.15/22.45 [3194] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.45 -> [3199] (distinct_lines(N27_102_3, N27_102_3) => (distinct_lines(N27_102_3, N27_102_3) | distinct_lines(N27_102_3, N27_102_3)))
% 147.15/22.45
% 147.15/22.45 [3199] BETA_IMPLY : (distinct_lines(N27_102_3, N27_102_3) => (distinct_lines(N27_102_3, N27_102_3) | distinct_lines(N27_102_3, N27_102_3)))
% 147.15/22.45 -> [3200] ~distinct_lines(N27_102_3, N27_102_3)
% 147.15/22.45 -> [3201] (distinct_lines(N27_102_3, N27_102_3) | distinct_lines(N27_102_3, N27_102_3))
% 147.15/22.45
% 147.15/22.45 [3201] BETA_OR : (distinct_lines(N27_102_3, N27_102_3) | distinct_lines(N27_102_3, N27_102_3))
% 147.15/22.45 -> [3204] distinct_lines(N27_102_3, N27_102_3)
% 147.15/22.45 -> [3205] distinct_lines(N27_102_3, N27_102_3)
% 147.15/22.45
% 147.15/22.45 [3205] CLOSURE : distinct_lines(N27_102_3, N27_102_3)
% 147.15/22.45
% 147.15/22.45 [3204] CLOSURE : distinct_lines(N27_102_3, N27_102_3)
% 147.15/22.45
% 147.15/22.45 [3200] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.45 -> [3219] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [3219] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.45 -> [3235] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [3235] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)))
% 147.15/22.45 -> [3236] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45 -> [3237] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [3236] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [3237] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878))
% 147.15/22.45 -> [5563] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45 -> [5564] unequally_directed_lines(reverse_line(skolem_N7979), skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [5563] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [5564] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.45 -> [9079] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.45
% 147.15/22.45 [9079] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.45 -> [9080] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [9081] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [9080] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [9117] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [9118] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [9118] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [9117] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [9081] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [11280] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [11281] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [11280] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [11312] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [11312] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [11281] ALPHA_AND : (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [11285] unequally_directed_lines(skolem_N7979, skolem_M7878), unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [11285] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [11429] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [11429] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [11434] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.45 -> [11435] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [11435] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [11444] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45 -> [11445] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [11444] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [11445] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [11723] ((unequally_directed_lines(skolem_N7979, M38_475_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_475_8))) => (left_convergent_lines(skolem_N7979, M38_475_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_475_8))))
% 147.15/22.45
% 147.15/22.45 [11723] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_475_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_475_8))) => (left_convergent_lines(skolem_N7979, M38_475_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_475_8))))
% 147.15/22.45 -> [11724] ~(unequally_directed_lines(skolem_N7979, M38_475_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_475_8)))
% 147.15/22.45 -> [11725] (left_convergent_lines(skolem_N7979, M38_475_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_475_8)))
% 147.15/22.45
% 147.15/22.45 [11724] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_475_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_475_8)))
% 147.15/22.45 -> [11753] ~unequally_directed_lines(skolem_N7979, M38_475_8)
% 147.15/22.45 -> [11754] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_475_8))
% 147.15/22.45
% 147.15/22.45 [11754] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_475_8))
% 147.15/22.45
% 147.15/22.45 [11753] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_475_8)
% 147.15/22.45
% 147.15/22.45 [11725] BETA_OR : (left_convergent_lines(skolem_N7979, M38_475_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_475_8)))
% 147.15/22.45 -> [11730] left_convergent_lines(skolem_N7979, M38_475_8)
% 147.15/22.45 -> [11731] left_convergent_lines(skolem_N7979, reverse_line(M38_475_8))
% 147.15/22.45
% 147.15/22.45 [11731] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [11802] ~(left_apart_point(A39_903_9, L40_903_9) | left_apart_point(A39_903_9, reverse_line(L40_903_9)))
% 147.15/22.45
% 147.15/22.45 [11802] ALPHA_NOT_OR : ~(left_apart_point(A39_903_9, L40_903_9) | left_apart_point(A39_903_9, reverse_line(L40_903_9)))
% 147.15/22.45 -> [11803] ~left_apart_point(A39_903_9, L40_903_9), ~left_apart_point(A39_903_9, reverse_line(L40_903_9))
% 147.15/22.45
% 147.15/22.45 [11803] CLOSURE : ~left_apart_point(A39_903_9, L40_903_9)
% 147.15/22.45
% 147.15/22.45 [11730] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [11842] ~(left_apart_point(A39_906_9, L40_906_9) | left_apart_point(A39_906_9, reverse_line(L40_906_9)))
% 147.15/22.45
% 147.15/22.45 [11842] ALPHA_NOT_OR : ~(left_apart_point(A39_906_9, L40_906_9) | left_apart_point(A39_906_9, reverse_line(L40_906_9)))
% 147.15/22.45 -> [11845] ~left_apart_point(A39_906_9, L40_906_9), ~left_apart_point(A39_906_9, reverse_line(L40_906_9))
% 147.15/22.45
% 147.15/22.45 [11845] CLOSURE : ~left_apart_point(A39_906_9, L40_906_9)
% 147.15/22.45
% 147.15/22.45 [11434] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.45 -> [11459] ~line(skolem_M7878)
% 147.15/22.45 -> [11460] ~line(skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [11460] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [11705] ((unequally_directed_lines(skolem_N7979, M38_473_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_473_8))) => (left_convergent_lines(skolem_N7979, M38_473_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_473_8))))
% 147.15/22.45
% 147.15/22.45 [11705] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_473_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_473_8))) => (left_convergent_lines(skolem_N7979, M38_473_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_473_8))))
% 147.15/22.45 -> [11706] ~(unequally_directed_lines(skolem_N7979, M38_473_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_473_8)))
% 147.15/22.45 -> [11707] (left_convergent_lines(skolem_N7979, M38_473_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_473_8)))
% 147.15/22.45
% 147.15/22.45 [11706] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_473_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_473_8)))
% 147.15/22.45 -> [11740] ~unequally_directed_lines(skolem_N7979, M38_473_8)
% 147.15/22.45 -> [11741] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_473_8))
% 147.15/22.45
% 147.15/22.45 [11741] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_473_8))
% 147.15/22.45
% 147.15/22.45 [11740] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_473_8)
% 147.15/22.45
% 147.15/22.45 [11707] BETA_OR : (left_convergent_lines(skolem_N7979, M38_473_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_473_8)))
% 147.15/22.45 -> [11715] left_convergent_lines(skolem_N7979, M38_473_8)
% 147.15/22.45 -> [11716] left_convergent_lines(skolem_N7979, reverse_line(M38_473_8))
% 147.15/22.45
% 147.15/22.45 [11716] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [11795] ~(left_apart_point(A39_902_9, L40_902_9) | left_apart_point(A39_902_9, reverse_line(L40_902_9)))
% 147.15/22.45
% 147.15/22.45 [11795] ALPHA_NOT_OR : ~(left_apart_point(A39_902_9, L40_902_9) | left_apart_point(A39_902_9, reverse_line(L40_902_9)))
% 147.15/22.45 -> [11796] ~left_apart_point(A39_902_9, L40_902_9), ~left_apart_point(A39_902_9, reverse_line(L40_902_9))
% 147.15/22.45
% 147.15/22.45 [11796] CLOSURE : ~left_apart_point(A39_902_9, L40_902_9)
% 147.15/22.45
% 147.15/22.45 [11715] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [11823] ~(left_apart_point(A39_905_9, L40_905_9) | left_apart_point(A39_905_9, reverse_line(L40_905_9)))
% 147.15/22.45
% 147.15/22.45 [11823] ALPHA_NOT_OR : ~(left_apart_point(A39_905_9, L40_905_9) | left_apart_point(A39_905_9, reverse_line(L40_905_9)))
% 147.15/22.45 -> [11828] ~left_apart_point(A39_905_9, L40_905_9), ~left_apart_point(A39_905_9, reverse_line(L40_905_9))
% 147.15/22.45
% 147.15/22.45 [11828] CLOSURE : ~left_apart_point(A39_905_9, L40_905_9)
% 147.15/22.45
% 147.15/22.45 [11459] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [11968] ((unequally_directed_lines(skolem_N7979, M38_492_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_492_8))) => (left_convergent_lines(skolem_N7979, M38_492_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_492_8))))
% 147.15/22.45
% 147.15/22.45 [11968] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_492_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_492_8))) => (left_convergent_lines(skolem_N7979, M38_492_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_492_8))))
% 147.15/22.45 -> [11971] ~(unequally_directed_lines(skolem_N7979, M38_492_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_492_8)))
% 147.15/22.45 -> [11972] (left_convergent_lines(skolem_N7979, M38_492_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_492_8)))
% 147.15/22.45
% 147.15/22.45 [11971] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_492_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_492_8)))
% 147.15/22.45 -> [12063] ~unequally_directed_lines(skolem_N7979, M38_492_8)
% 147.15/22.45 -> [12064] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_492_8))
% 147.15/22.45
% 147.15/22.45 [12064] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_492_8))
% 147.15/22.45
% 147.15/22.45 [12063] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_492_8)
% 147.15/22.45
% 147.15/22.45 [11972] BETA_OR : (left_convergent_lines(skolem_N7979, M38_492_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_492_8)))
% 147.15/22.45 -> [12052] left_convergent_lines(skolem_N7979, M38_492_8)
% 147.15/22.45 -> [12053] left_convergent_lines(skolem_N7979, reverse_line(M38_492_8))
% 147.15/22.45
% 147.15/22.45 [12053] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12135] ~(left_apart_point(A39_962_9, L40_962_9) | left_apart_point(A39_962_9, reverse_line(L40_962_9)))
% 147.15/22.45
% 147.15/22.45 [12135] ALPHA_NOT_OR : ~(left_apart_point(A39_962_9, L40_962_9) | left_apart_point(A39_962_9, reverse_line(L40_962_9)))
% 147.15/22.45 -> [12136] ~left_apart_point(A39_962_9, L40_962_9), ~left_apart_point(A39_962_9, reverse_line(L40_962_9))
% 147.15/22.45
% 147.15/22.45 [12136] CLOSURE : ~left_apart_point(A39_962_9, L40_962_9)
% 147.15/22.45
% 147.15/22.45 [12052] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12320] ~(left_apart_point(A39_999_9, L40_999_9) | left_apart_point(A39_999_9, reverse_line(L40_999_9)))
% 147.15/22.45
% 147.15/22.45 [12320] ALPHA_NOT_OR : ~(left_apart_point(A39_999_9, L40_999_9) | left_apart_point(A39_999_9, reverse_line(L40_999_9)))
% 147.15/22.45 -> [12321] ~left_apart_point(A39_999_9, L40_999_9), ~left_apart_point(A39_999_9, reverse_line(L40_999_9))
% 147.15/22.45
% 147.15/22.45 [12321] CLOSURE : ~left_apart_point(A39_999_9, L40_999_9)
% 147.15/22.45
% 147.15/22.45 [679] BETA_OR : (left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878) | left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878)))
% 147.15/22.45 -> [1130] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), skolem_M7878)
% 147.15/22.45 -> [1131] left_apart_point(intersection_point(skolem_M7878, parallel_through_point(skolem_N7979, skolem_C8282)), reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [1131] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.45 -> [1620] ~distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [1620] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.45 -> [1677] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45
% 147.15/22.45 [1677] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080)))
% 147.15/22.45 -> [1678] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [1679] (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45
% 147.15/22.45 [1678] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [1679] BETA_OR : (distinct_points(skolem_B8181, skolem_A8080) | distinct_points(skolem_A8080, skolem_A8080))
% 147.15/22.45 -> [2217] distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [2218] distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [2218] CLOSURE : distinct_points(skolem_A8080, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [2217] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.45 -> [3695] ~distinct_lines(M26_120_3, M26_120_3)
% 147.15/22.45
% 147.15/22.45 [3695] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.45 -> [3773] (distinct_lines(M26_120_3, M26_120_3) => (distinct_lines(M26_120_3, M26_120_3) | distinct_lines(M26_120_3, M26_120_3)))
% 147.15/22.45
% 147.15/22.45 [3773] BETA_IMPLY : (distinct_lines(M26_120_3, M26_120_3) => (distinct_lines(M26_120_3, M26_120_3) | distinct_lines(M26_120_3, M26_120_3)))
% 147.15/22.45 -> [3774] ~distinct_lines(M26_120_3, M26_120_3)
% 147.15/22.45 -> [3775] (distinct_lines(M26_120_3, M26_120_3) | distinct_lines(M26_120_3, M26_120_3))
% 147.15/22.45
% 147.15/22.45 [3775] BETA_OR : (distinct_lines(M26_120_3, M26_120_3) | distinct_lines(M26_120_3, M26_120_3))
% 147.15/22.45 -> [3776] distinct_lines(M26_120_3, M26_120_3)
% 147.15/22.45 -> [3777] distinct_lines(M26_120_3, M26_120_3)
% 147.15/22.45
% 147.15/22.45 [3776] CLOSURE : distinct_lines(M26_120_3, M26_120_3)
% 147.15/22.45
% 147.15/22.45 [3777] CLOSURE : distinct_lines(M26_120_3, M26_120_3)
% 147.15/22.45
% 147.15/22.45 [3774] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.45 -> [3958] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [3958] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.45 -> [4204] (unequally_directed_lines(skolem_M7878, skolem_M7878) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [4204] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, skolem_M7878) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878)))
% 147.15/22.45 -> [4207] ~unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45 -> [4208] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [4208] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, skolem_M7878))
% 147.15/22.45 -> [4212] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45 -> [4213] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [4213] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [4212] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [4207] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.45 -> [5732] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.45
% 147.15/22.45 [5732] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))))
% 147.15/22.45 -> [5735] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [5736] ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [5735] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [5776] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [5777] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [5777] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [5776] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [5736] BETA_OR : ((unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))) | (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [9053] (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [9054] (unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [9053] ALPHA_AND : (unequally_directed_lines(skolem_M7878, skolem_M7878) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [9070] unequally_directed_lines(skolem_M7878, skolem_M7878), unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [9070] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [9058] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [10263] ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [10263] BETA_IMPLY : ((line(skolem_M7878) & line(skolem_M7878)) => (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [10267] ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.45 -> [10268] (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [10268] BETA_OR : (unequally_directed_lines(skolem_M7878, skolem_M7878) | unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [10276] unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45 -> [10277] unequally_directed_lines(skolem_M7878, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [10276] CLOSURE : unequally_directed_lines(skolem_M7878, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [10277] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [10399] ((unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [10399] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [10403] ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [10404] (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [10404] BETA_OR : (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [10409] left_convergent_lines(skolem_N7979, skolem_M7878)
% 147.15/22.45 -> [10410] left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [10410] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [10448] ~(left_apart_point(A39_742_9, L40_742_9) | left_apart_point(A39_742_9, reverse_line(L40_742_9)))
% 147.15/22.45
% 147.15/22.45 [10448] ALPHA_NOT_OR : ~(left_apart_point(A39_742_9, L40_742_9) | left_apart_point(A39_742_9, reverse_line(L40_742_9)))
% 147.15/22.45 -> [10449] ~left_apart_point(A39_742_9, L40_742_9), ~left_apart_point(A39_742_9, reverse_line(L40_742_9))
% 147.15/22.45
% 147.15/22.45 [10449] CLOSURE : ~left_apart_point(A39_742_9, L40_742_9)
% 147.15/22.45
% 147.15/22.45 [10409] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [10457] ~(left_apart_point(A39_746_9, L40_746_9) | left_apart_point(A39_746_9, reverse_line(L40_746_9)))
% 147.15/22.45
% 147.15/22.45 [10457] ALPHA_NOT_OR : ~(left_apart_point(A39_746_9, L40_746_9) | left_apart_point(A39_746_9, reverse_line(L40_746_9)))
% 147.15/22.45 -> [10459] ~left_apart_point(A39_746_9, L40_746_9), ~left_apart_point(A39_746_9, reverse_line(L40_746_9))
% 147.15/22.45
% 147.15/22.45 [10459] CLOSURE : ~left_apart_point(A39_746_9, L40_746_9)
% 147.15/22.45
% 147.15/22.45 [10403] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [10421] ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.45 -> [10422] ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [10422] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [10421] CLOSURE : ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [10267] BETA_NOT_AND : ~(line(skolem_M7878) & line(skolem_M7878))
% 147.15/22.45 -> [10282] ~line(skolem_M7878)
% 147.15/22.45 -> [10283] ~line(skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [10282] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [10330] ((unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [10330] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [10332] ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [10333] (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [10332] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [10357] ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.45 -> [10358] ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [10358] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [10357] CLOSURE : ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [10333] BETA_OR : (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [10342] left_convergent_lines(skolem_N7979, skolem_M7878)
% 147.15/22.45 -> [10343] left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [10343] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [10386] ~(left_apart_point(A39_732_9, L40_732_9) | left_apart_point(A39_732_9, reverse_line(L40_732_9)))
% 147.15/22.45
% 147.15/22.45 [10386] ALPHA_NOT_OR : ~(left_apart_point(A39_732_9, L40_732_9) | left_apart_point(A39_732_9, reverse_line(L40_732_9)))
% 147.15/22.45 -> [10389] ~left_apart_point(A39_732_9, L40_732_9), ~left_apart_point(A39_732_9, reverse_line(L40_732_9))
% 147.15/22.45
% 147.15/22.45 [10389] CLOSURE : ~left_apart_point(A39_732_9, L40_732_9)
% 147.15/22.45
% 147.15/22.45 [10342] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [10394] ~(left_apart_point(A39_734_9, L40_734_9) | left_apart_point(A39_734_9, reverse_line(L40_734_9)))
% 147.15/22.45
% 147.15/22.45 [10394] ALPHA_NOT_OR : ~(left_apart_point(A39_734_9, L40_734_9) | left_apart_point(A39_734_9, reverse_line(L40_734_9)))
% 147.15/22.45 -> [10395] ~left_apart_point(A39_734_9, L40_734_9), ~left_apart_point(A39_734_9, reverse_line(L40_734_9))
% 147.15/22.45
% 147.15/22.45 [10395] CLOSURE : ~left_apart_point(A39_734_9, L40_734_9)
% 147.15/22.45
% 147.15/22.45 [10283] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [10314] ((unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [10314] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [10315] ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [10316] (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [10315] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, skolem_M7878) & unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [10351] ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.45 -> [10352] ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [10352] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [10351] CLOSURE : ~unequally_directed_lines(skolem_N7979, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [10316] BETA_OR : (left_convergent_lines(skolem_N7979, skolem_M7878) | left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [10319] left_convergent_lines(skolem_N7979, skolem_M7878)
% 147.15/22.45 -> [10320] left_convergent_lines(skolem_N7979, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [10319] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [10390] ~(left_apart_point(A39_733_9, L40_733_9) | left_apart_point(A39_733_9, reverse_line(L40_733_9)))
% 147.15/22.45
% 147.15/22.45 [10390] ALPHA_NOT_OR : ~(left_apart_point(A39_733_9, L40_733_9) | left_apart_point(A39_733_9, reverse_line(L40_733_9)))
% 147.15/22.45 -> [10391] ~left_apart_point(A39_733_9, L40_733_9), ~left_apart_point(A39_733_9, reverse_line(L40_733_9))
% 147.15/22.45
% 147.15/22.45 [10391] CLOSURE : ~left_apart_point(A39_733_9, L40_733_9)
% 147.15/22.45
% 147.15/22.45 [10320] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [10408] ~(left_apart_point(A39_738_9, L40_738_9) | left_apart_point(A39_738_9, reverse_line(L40_738_9)))
% 147.15/22.45
% 147.15/22.45 [10408] ALPHA_NOT_OR : ~(left_apart_point(A39_738_9, L40_738_9) | left_apart_point(A39_738_9, reverse_line(L40_738_9)))
% 147.15/22.45 -> [10411] ~left_apart_point(A39_738_9, L40_738_9), ~left_apart_point(A39_738_9, reverse_line(L40_738_9))
% 147.15/22.45
% 147.15/22.45 [10411] CLOSURE : ~left_apart_point(A39_738_9, L40_738_9)
% 147.15/22.45
% 147.15/22.45 [1130] GAMMA_FORALL : ! [A20_20] : (~distinct_points(A20_20, A20_20))
% 147.15/22.45 -> [1486] ~distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.45
% 147.15/22.45 [1486] GAMMA_FORALL : ! [A21_21, B22_22, C23_23] : ((distinct_points(A21_21, B22_22) => (distinct_points(A21_21, C23_23) | distinct_points(B22_22, C23_23))))
% 147.15/22.45 -> [1493] (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.45
% 147.15/22.45 [1493] BETA_IMPLY : (distinct_points(skolem_B8181, skolem_A8080) => (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181)))
% 147.15/22.45 -> [1494] ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45 -> [1495] (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.45
% 147.15/22.45 [1494] CLOSURE : ~distinct_points(skolem_B8181, skolem_A8080)
% 147.15/22.45
% 147.15/22.45 [1495] BETA_OR : (distinct_points(skolem_B8181, skolem_B8181) | distinct_points(skolem_A8080, skolem_B8181))
% 147.15/22.45 -> [2104] distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.45 -> [2105] distinct_points(skolem_A8080, skolem_B8181)
% 147.15/22.45
% 147.15/22.45 [2104] CLOSURE : distinct_points(skolem_B8181, skolem_B8181)
% 147.15/22.45
% 147.15/22.45 [2105] GAMMA_FORALL : ! [L24_24] : (~distinct_lines(L24_24, L24_24))
% 147.15/22.45 -> [2142] ~distinct_lines(N27_47_3, N27_47_3)
% 147.15/22.45
% 147.15/22.45 [2142] GAMMA_FORALL : ! [L25_25, M26_26, N27_27] : ((distinct_lines(L25_25, M26_26) => (distinct_lines(L25_25, N27_27) | distinct_lines(M26_26, N27_27))))
% 147.15/22.45 -> [2146] (distinct_lines(N27_47_3, N27_47_3) => (distinct_lines(N27_47_3, N27_47_3) | distinct_lines(N27_47_3, N27_47_3)))
% 147.15/22.45
% 147.15/22.45 [2146] BETA_IMPLY : (distinct_lines(N27_47_3, N27_47_3) => (distinct_lines(N27_47_3, N27_47_3) | distinct_lines(N27_47_3, N27_47_3)))
% 147.15/22.45 -> [2147] ~distinct_lines(N27_47_3, N27_47_3)
% 147.15/22.45 -> [2148] (distinct_lines(N27_47_3, N27_47_3) | distinct_lines(N27_47_3, N27_47_3))
% 147.15/22.45
% 147.15/22.45 [2148] BETA_OR : (distinct_lines(N27_47_3, N27_47_3) | distinct_lines(N27_47_3, N27_47_3))
% 147.15/22.45 -> [2149] distinct_lines(N27_47_3, N27_47_3)
% 147.15/22.45 -> [2150] distinct_lines(N27_47_3, N27_47_3)
% 147.15/22.45
% 147.15/22.45 [2150] CLOSURE : distinct_lines(N27_47_3, N27_47_3)
% 147.15/22.45
% 147.15/22.45 [2149] CLOSURE : distinct_lines(N27_47_3, N27_47_3)
% 147.15/22.45
% 147.15/22.45 [2147] GAMMA_FORALL : ! [L28_28] : (~unequally_directed_lines(L28_28, L28_28))
% 147.15/22.45 -> [2171] ~unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [2171] GAMMA_FORALL : ! [L29_29, M30_30, N31_31] : ((unequally_directed_lines(L29_29, M30_30) => (unequally_directed_lines(L29_29, N31_31) | unequally_directed_lines(M30_30, N31_31))))
% 147.15/22.45 -> [2328] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [2328] BETA_IMPLY : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) => (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))))
% 147.15/22.45 -> [2329] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45 -> [2330] (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [2329] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [2330] BETA_OR : (unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)))
% 147.15/22.45 -> [4719] unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45 -> [4720] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [4720] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [4719] GAMMA_FORALL : ! [L32_32, M33_33, N34_34] : (((unequally_directed_lines(L32_32, M33_33) & unequally_directed_lines(L32_32, reverse_line(M33_33))) => ((unequally_directed_lines(L32_32, N34_34) & unequally_directed_lines(L32_32, reverse_line(N34_34))) | (unequally_directed_lines(M33_33, N34_34) & unequally_directed_lines(M33_33, reverse_line(N34_34))))))
% 147.15/22.45 -> [10510] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_119_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_119_6))) | (unequally_directed_lines(skolem_N7979, N34_119_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_119_6)))))
% 147.15/22.45
% 147.15/22.45 [10510] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => ((unequally_directed_lines(skolem_M7878, N34_119_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_119_6))) | (unequally_directed_lines(skolem_N7979, N34_119_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_119_6)))))
% 147.15/22.45 -> [10513] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [10514] ((unequally_directed_lines(skolem_M7878, N34_119_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_119_6))) | (unequally_directed_lines(skolem_N7979, N34_119_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_119_6))))
% 147.15/22.45
% 147.15/22.45 [10513] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [11119] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [11120] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [11120] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [11119] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 [10514] BETA_OR : ((unequally_directed_lines(skolem_M7878, N34_119_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_119_6))) | (unequally_directed_lines(skolem_N7979, N34_119_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_119_6))))
% 147.15/22.45 -> [12863] (unequally_directed_lines(skolem_M7878, N34_119_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_119_6)))
% 147.15/22.45 -> [12864] (unequally_directed_lines(skolem_N7979, N34_119_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_119_6)))
% 147.15/22.45
% 147.15/22.45 [12863] ALPHA_AND : (unequally_directed_lines(skolem_M7878, N34_119_6) & unequally_directed_lines(skolem_M7878, reverse_line(N34_119_6)))
% 147.15/22.45 -> [12881] unequally_directed_lines(skolem_M7878, N34_119_6), unequally_directed_lines(skolem_M7878, reverse_line(N34_119_6))
% 147.15/22.45
% 147.15/22.45 [12881] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [12889] ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.45
% 147.15/22.45 [12889] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.45 -> [12890] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.45 -> [12891] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [12890] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.45 -> [12899] ~line(reverse_line(skolem_N7979))
% 147.15/22.45 -> [12900] ~line(reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [12900] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [12908] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [12908] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [12909] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12910] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [12909] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12919] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [12920] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12920] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12919] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [12910] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12913] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [12914] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12914] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12927] ~(left_apart_point(A39_1098_9, L40_1098_9) | left_apart_point(A39_1098_9, reverse_line(L40_1098_9)))
% 147.15/22.45
% 147.15/22.45 [12927] ALPHA_NOT_OR : ~(left_apart_point(A39_1098_9, L40_1098_9) | left_apart_point(A39_1098_9, reverse_line(L40_1098_9)))
% 147.15/22.45 -> [12928] ~left_apart_point(A39_1098_9, L40_1098_9), ~left_apart_point(A39_1098_9, reverse_line(L40_1098_9))
% 147.15/22.45
% 147.15/22.45 [12928] CLOSURE : ~left_apart_point(A39_1098_9, L40_1098_9)
% 147.15/22.45
% 147.15/22.45 [12913] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12923] ~(left_apart_point(A39_1097_9, L40_1097_9) | left_apart_point(A39_1097_9, reverse_line(L40_1097_9)))
% 147.15/22.45
% 147.15/22.45 [12923] ALPHA_NOT_OR : ~(left_apart_point(A39_1097_9, L40_1097_9) | left_apart_point(A39_1097_9, reverse_line(L40_1097_9)))
% 147.15/22.45 -> [12924] ~left_apart_point(A39_1097_9, L40_1097_9), ~left_apart_point(A39_1097_9, reverse_line(L40_1097_9))
% 147.15/22.45
% 147.15/22.45 [12924] CLOSURE : ~left_apart_point(A39_1097_9, L40_1097_9)
% 147.15/22.45
% 147.15/22.45 [12899] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [12931] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [12931] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [12934] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12935] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [12935] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12938] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [12939] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12938] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12942] ~(left_apart_point(A39_1102_9, L40_1102_9) | left_apart_point(A39_1102_9, reverse_line(L40_1102_9)))
% 147.15/22.45
% 147.15/22.45 [12942] ALPHA_NOT_OR : ~(left_apart_point(A39_1102_9, L40_1102_9) | left_apart_point(A39_1102_9, reverse_line(L40_1102_9)))
% 147.15/22.45 -> [12944] ~left_apart_point(A39_1102_9, L40_1102_9), ~left_apart_point(A39_1102_9, reverse_line(L40_1102_9))
% 147.15/22.45
% 147.15/22.45 [12944] CLOSURE : ~left_apart_point(A39_1102_9, L40_1102_9)
% 147.15/22.45
% 147.15/22.45 [12939] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12943] ~(left_apart_point(A39_1103_9, L40_1103_9) | left_apart_point(A39_1103_9, reverse_line(L40_1103_9)))
% 147.15/22.45
% 147.15/22.45 [12943] ALPHA_NOT_OR : ~(left_apart_point(A39_1103_9, L40_1103_9) | left_apart_point(A39_1103_9, reverse_line(L40_1103_9)))
% 147.15/22.45 -> [12945] ~left_apart_point(A39_1103_9, L40_1103_9), ~left_apart_point(A39_1103_9, reverse_line(L40_1103_9))
% 147.15/22.45
% 147.15/22.45 [12945] CLOSURE : ~left_apart_point(A39_1103_9, L40_1103_9)
% 147.15/22.45
% 147.15/22.45 [12934] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12936] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [12937] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12936] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [12937] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12891] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.45 -> [12893] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45 -> [12894] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [12893] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [12894] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [12947] ((unequally_directed_lines(skolem_M7878, M38_553_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_553_8))) => (left_convergent_lines(skolem_M7878, M38_553_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_553_8))))
% 147.15/22.45
% 147.15/22.45 [12947] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, M38_553_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_553_8))) => (left_convergent_lines(skolem_M7878, M38_553_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_553_8))))
% 147.15/22.45 -> [12950] ~(unequally_directed_lines(skolem_M7878, M38_553_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_553_8)))
% 147.15/22.45 -> [12951] (left_convergent_lines(skolem_M7878, M38_553_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_553_8)))
% 147.15/22.45
% 147.15/22.45 [12950] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, M38_553_8) & unequally_directed_lines(skolem_M7878, reverse_line(M38_553_8)))
% 147.15/22.45 -> [12956] ~unequally_directed_lines(skolem_M7878, M38_553_8)
% 147.15/22.45 -> [12957] ~unequally_directed_lines(skolem_M7878, reverse_line(M38_553_8))
% 147.15/22.45
% 147.15/22.45 [12956] CLOSURE : ~unequally_directed_lines(skolem_M7878, M38_553_8)
% 147.15/22.45
% 147.15/22.45 [12957] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(M38_553_8))
% 147.15/22.45
% 147.15/22.45 [12951] BETA_OR : (left_convergent_lines(skolem_M7878, M38_553_8) | left_convergent_lines(skolem_M7878, reverse_line(M38_553_8)))
% 147.15/22.45 -> [12954] left_convergent_lines(skolem_M7878, M38_553_8)
% 147.15/22.45 -> [12955] left_convergent_lines(skolem_M7878, reverse_line(M38_553_8))
% 147.15/22.45
% 147.15/22.45 [12955] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12964] ~(left_apart_point(A39_1106_9, L40_1106_9) | left_apart_point(A39_1106_9, reverse_line(L40_1106_9)))
% 147.15/22.45
% 147.15/22.45 [12964] ALPHA_NOT_OR : ~(left_apart_point(A39_1106_9, L40_1106_9) | left_apart_point(A39_1106_9, reverse_line(L40_1106_9)))
% 147.15/22.45 -> [12965] ~left_apart_point(A39_1106_9, L40_1106_9), ~left_apart_point(A39_1106_9, reverse_line(L40_1106_9))
% 147.15/22.45
% 147.15/22.45 [12965] CLOSURE : ~left_apart_point(A39_1106_9, L40_1106_9)
% 147.15/22.45
% 147.15/22.45 [12954] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12966] ~(left_apart_point(A39_1107_9, L40_1107_9) | left_apart_point(A39_1107_9, reverse_line(L40_1107_9)))
% 147.15/22.45
% 147.15/22.45 [12966] ALPHA_NOT_OR : ~(left_apart_point(A39_1107_9, L40_1107_9) | left_apart_point(A39_1107_9, reverse_line(L40_1107_9)))
% 147.15/22.45 -> [12967] ~left_apart_point(A39_1107_9, L40_1107_9), ~left_apart_point(A39_1107_9, reverse_line(L40_1107_9))
% 147.15/22.45
% 147.15/22.45 [12967] CLOSURE : ~left_apart_point(A39_1107_9, L40_1107_9)
% 147.15/22.45
% 147.15/22.45 [12864] ALPHA_AND : (unequally_directed_lines(skolem_N7979, N34_119_6) & unequally_directed_lines(skolem_N7979, reverse_line(N34_119_6)))
% 147.15/22.45 -> [12869] unequally_directed_lines(skolem_N7979, N34_119_6), unequally_directed_lines(skolem_N7979, reverse_line(N34_119_6))
% 147.15/22.45
% 147.15/22.45 [12869] GAMMA_FORALL : ! [L35_35, M36_36] : (((line(L35_35) & line(M36_36)) => (unequally_directed_lines(L35_35, M36_36) | unequally_directed_lines(L35_35, reverse_line(M36_36)))))
% 147.15/22.45 -> [12877] ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.45
% 147.15/22.45 [12877] BETA_IMPLY : ((line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979))) => (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))))
% 147.15/22.45 -> [12878] ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.45 -> [12879] (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [12878] BETA_NOT_AND : ~(line(reverse_line(skolem_N7979)) & line(reverse_line(skolem_N7979)))
% 147.15/22.45 -> [12896] ~line(reverse_line(skolem_N7979))
% 147.15/22.45 -> [12897] ~line(reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [12897] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [12902] ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45
% 147.15/22.45 [12902] BETA_IMPLY : ((unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))) => (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))))
% 147.15/22.45 -> [12903] ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12904] (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45
% 147.15/22.45 [12904] BETA_OR : (left_convergent_lines(skolem_L7777, skolem_M7878) | left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12906] left_convergent_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [12907] left_convergent_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12907] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12921] ~(left_apart_point(A39_1096_9, L40_1096_9) | left_apart_point(A39_1096_9, reverse_line(L40_1096_9)))
% 147.15/22.45
% 147.15/22.45 [12921] ALPHA_NOT_OR : ~(left_apart_point(A39_1096_9, L40_1096_9) | left_apart_point(A39_1096_9, reverse_line(L40_1096_9)))
% 147.15/22.45 -> [12922] ~left_apart_point(A39_1096_9, L40_1096_9), ~left_apart_point(A39_1096_9, reverse_line(L40_1096_9))
% 147.15/22.45
% 147.15/22.45 [12922] CLOSURE : ~left_apart_point(A39_1096_9, L40_1096_9)
% 147.15/22.45
% 147.15/22.45 [12906] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12932] ~(left_apart_point(A39_1100_9, L40_1100_9) | left_apart_point(A39_1100_9, reverse_line(L40_1100_9)))
% 147.15/22.45
% 147.15/22.45 [12932] ALPHA_NOT_OR : ~(left_apart_point(A39_1100_9, L40_1100_9) | left_apart_point(A39_1100_9, reverse_line(L40_1100_9)))
% 147.15/22.45 -> [12933] ~left_apart_point(A39_1100_9, L40_1100_9), ~left_apart_point(A39_1100_9, reverse_line(L40_1100_9))
% 147.15/22.45
% 147.15/22.45 [12933] CLOSURE : ~left_apart_point(A39_1100_9, L40_1100_9)
% 147.15/22.45
% 147.15/22.45 [12903] BETA_NOT_AND : ~(unequally_directed_lines(skolem_L7777, skolem_M7878) & unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878)))
% 147.15/22.45 -> [12911] ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45 -> [12912] ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12911] CLOSURE : ~unequally_directed_lines(skolem_L7777, skolem_M7878)
% 147.15/22.45
% 147.15/22.45 [12912] CLOSURE : ~unequally_directed_lines(skolem_L7777, reverse_line(skolem_M7878))
% 147.15/22.45
% 147.15/22.45 [12896] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [12905] ((unequally_directed_lines(skolem_N7979, M38_549_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_549_8))) => (left_convergent_lines(skolem_N7979, M38_549_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_549_8))))
% 147.15/22.45
% 147.15/22.45 [12905] BETA_IMPLY : ((unequally_directed_lines(skolem_N7979, M38_549_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_549_8))) => (left_convergent_lines(skolem_N7979, M38_549_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_549_8))))
% 147.15/22.45 -> [12915] ~(unequally_directed_lines(skolem_N7979, M38_549_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_549_8)))
% 147.15/22.45 -> [12916] (left_convergent_lines(skolem_N7979, M38_549_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_549_8)))
% 147.15/22.45
% 147.15/22.45 [12915] BETA_NOT_AND : ~(unequally_directed_lines(skolem_N7979, M38_549_8) & unequally_directed_lines(skolem_N7979, reverse_line(M38_549_8)))
% 147.15/22.45 -> [12917] ~unequally_directed_lines(skolem_N7979, M38_549_8)
% 147.15/22.45 -> [12918] ~unequally_directed_lines(skolem_N7979, reverse_line(M38_549_8))
% 147.15/22.45
% 147.15/22.45 [12918] CLOSURE : ~unequally_directed_lines(skolem_N7979, reverse_line(M38_549_8))
% 147.15/22.45
% 147.15/22.45 [12917] CLOSURE : ~unequally_directed_lines(skolem_N7979, M38_549_8)
% 147.15/22.45
% 147.15/22.45 [12916] BETA_OR : (left_convergent_lines(skolem_N7979, M38_549_8) | left_convergent_lines(skolem_N7979, reverse_line(M38_549_8)))
% 147.15/22.45 -> [12925] left_convergent_lines(skolem_N7979, M38_549_8)
% 147.15/22.45 -> [12926] left_convergent_lines(skolem_N7979, reverse_line(M38_549_8))
% 147.15/22.45
% 147.15/22.45 [12925] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12929] ~(left_apart_point(A39_1099_9, L40_1099_9) | left_apart_point(A39_1099_9, reverse_line(L40_1099_9)))
% 147.15/22.45
% 147.15/22.45 [12929] ALPHA_NOT_OR : ~(left_apart_point(A39_1099_9, L40_1099_9) | left_apart_point(A39_1099_9, reverse_line(L40_1099_9)))
% 147.15/22.45 -> [12930] ~left_apart_point(A39_1099_9, L40_1099_9), ~left_apart_point(A39_1099_9, reverse_line(L40_1099_9))
% 147.15/22.45
% 147.15/22.45 [12930] CLOSURE : ~left_apart_point(A39_1099_9, L40_1099_9)
% 147.15/22.45
% 147.15/22.45 [12926] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12940] ~(left_apart_point(A39_1101_9, L40_1101_9) | left_apart_point(A39_1101_9, reverse_line(L40_1101_9)))
% 147.15/22.45
% 147.15/22.45 [12940] ALPHA_NOT_OR : ~(left_apart_point(A39_1101_9, L40_1101_9) | left_apart_point(A39_1101_9, reverse_line(L40_1101_9)))
% 147.15/22.45 -> [12941] ~left_apart_point(A39_1101_9, L40_1101_9), ~left_apart_point(A39_1101_9, reverse_line(L40_1101_9))
% 147.15/22.45
% 147.15/22.45 [12941] CLOSURE : ~left_apart_point(A39_1101_9, L40_1101_9)
% 147.15/22.45
% 147.15/22.45 [12879] BETA_OR : (unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979)) | unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979))))
% 147.15/22.45 -> [12887] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45 -> [12888] unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [12887] CLOSURE : unequally_directed_lines(reverse_line(skolem_N7979), reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [12888] GAMMA_FORALL : ! [L37_37, M38_38] : (((unequally_directed_lines(L37_37, M38_38) & unequally_directed_lines(L37_37, reverse_line(M38_38))) => (left_convergent_lines(L37_37, M38_38) | left_convergent_lines(L37_37, reverse_line(M38_38)))))
% 147.15/22.45 -> [12946] ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45
% 147.15/22.45 [12946] BETA_IMPLY : ((unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))) => (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))))
% 147.15/22.45 -> [12948] ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [12949] (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45
% 147.15/22.45 [12949] BETA_OR : (left_convergent_lines(skolem_M7878, skolem_N7979) | left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [12952] left_convergent_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [12953] left_convergent_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [12953] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12961] ~(left_apart_point(A39_1105_9, L40_1105_9) | left_apart_point(A39_1105_9, reverse_line(L40_1105_9)))
% 147.15/22.45
% 147.15/22.45 [12961] ALPHA_NOT_OR : ~(left_apart_point(A39_1105_9, L40_1105_9) | left_apart_point(A39_1105_9, reverse_line(L40_1105_9)))
% 147.15/22.45 -> [12963] ~left_apart_point(A39_1105_9, L40_1105_9), ~left_apart_point(A39_1105_9, reverse_line(L40_1105_9))
% 147.15/22.45
% 147.15/22.45 [12963] CLOSURE : ~left_apart_point(A39_1105_9, L40_1105_9)
% 147.15/22.45
% 147.15/22.45 [12952] GAMMA_FORALL : ! [A39_39, L40_40] : (~(left_apart_point(A39_39, L40_40) | left_apart_point(A39_39, reverse_line(L40_40))))
% 147.15/22.45 -> [12960] ~(left_apart_point(A39_1104_9, L40_1104_9) | left_apart_point(A39_1104_9, reverse_line(L40_1104_9)))
% 147.15/22.45
% 147.15/22.45 [12960] ALPHA_NOT_OR : ~(left_apart_point(A39_1104_9, L40_1104_9) | left_apart_point(A39_1104_9, reverse_line(L40_1104_9)))
% 147.15/22.45 -> [12962] ~left_apart_point(A39_1104_9, L40_1104_9), ~left_apart_point(A39_1104_9, reverse_line(L40_1104_9))
% 147.15/22.45
% 147.15/22.45 [12962] CLOSURE : ~left_apart_point(A39_1104_9, L40_1104_9)
% 147.15/22.45
% 147.15/22.45 [12948] BETA_NOT_AND : ~(unequally_directed_lines(skolem_M7878, skolem_N7979) & unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979)))
% 147.15/22.45 -> [12958] ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45 -> [12959] ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [12959] CLOSURE : ~unequally_directed_lines(skolem_M7878, reverse_line(skolem_N7979))
% 147.15/22.45
% 147.15/22.45 [12958] CLOSURE : ~unequally_directed_lines(skolem_M7878, skolem_N7979)
% 147.15/22.45
% 147.15/22.45 % SZS output end Proof for theBenchmark.p
% 147.15/22.45 [22.188046s][1][Res] 249463 goroutines created
% 147.15/22.45 ==== Result ====
% 147.15/22.45 [22.188086s][1][Res] VALID
% 147.15/22.45 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------